TS ICET 2017 Question Paper

TS ICET 2017 - Question 1

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Is m a divisor of n?
I. m is the smallest prime such that 9 m > 8.
II. n is an odd integer

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 2

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Do P, Q and R lie on a circle?
I. P, Q lie on the circle and PQ passes through its centre.
II. $$\triangle PQR$$ is right-angled.

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 3

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If p(x) is a polynomial, is x + 3 a factor of $$p(x^2 + 2)$$?
I. p(-3) = 0
II. p(11) = 0

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 4

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If x is an integer, is $$9^x + 9^{-x} = b$$
I. $$3^x + 3^{-x} = \sqrt{b + 2}$$
II. $$x > 0$$

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 5

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In $$\triangle ABC$$, if D is the foot of the peropendicular drawn from B onto AC, then what is the area of $$\triangle ABC$$?
I. BD.AC = 20
II. $$\angle BAD = 45^\circ$$

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 6

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What is the value of k with 56 < k < 66?
I. k leaves remainder 1 when divided by 2.
II. k + 1 is divisible by 8.

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 7

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Is n a prime?
I. n leaves remainder 1 when divided by 6.
II. n leaves remainder 7 when divided by 91.

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 8

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Can we construct the $$\triangle ABC$$ with sides a, b and c ?
I. a = 3, b = 4
II. The perimeter of $$\triangle ABC$$ is 18.

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 9

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What is the average of the numbers $$a_1, a_2, ....... a_{10}$$?
I. $$a_1 + a_2 + ..... + a_9 = 810$$
II. $$a_2 + a_3 + ..... + a_{10} = 900$$

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 10

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If $$a \neq b$$ and $$c \neq d$$, what is the value of $$\frac{a^2 + d^2}{b^2 + c^2}$$?
I. $$\frac{a + b}{c - d} = \frac{c + d}{a - b}$$
II. $$ad \neq bc$$

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 11

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Can we find the orthocentre of $$\triangle ABC$$?
I. $$AB^2 = AC^2 - BC^2$$
II. AB + BC + CA = 100 cms

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 12

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If p(x) is a polynomial is 2 a root of p(x) = 0?
I. p(1) = 0
II. $$p(p(1)) \neq 0$$

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 13

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What is the value of $$\frac{x^2 + y^2 - z^2}{xy}$$?
I. x : y = 1 : 2
II. y : z = 2 : 3

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 14

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What is the volume of the cylinder ?
I. The height of the cylinder is 3 units more than its radius.
II. Two identical spheres of radius 3 units fit into the cylinder.

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 15

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For real numbers a and b, what is the value of 7a + 4b?
I. $$ab \neq 0$$
II. $$a^2 + b^2 = 0$$

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 16

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What is the value of $$\sin 2 \theta$$?
I. $$\sec \theta + \cosec \theta = 4$$
II. $$\tan \theta + \cot \theta = 4$$

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 17

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Fornon-zerointegersa, b, c, d andp,is theproduct $$(ap) \times (bp)^2 \times (cp)^3 \times (dp)^4$$ a positive integer?
I. a < c < p < 0
II. b < d < p < 0

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 18

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For positive integers x and y with xy = 30, what is the value of x + y?
I. $$1 < \frac{x}{y} < 2$$
II. $$x > y$$

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 19

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Is the matrix A singular?
I. A is a $$2 \times 2$$ matrix
II. The sum of the elements of the matrix A is zero.

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 20

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What is the number of zero at the end of the number n?
I. $$2^8$$ divides n.
II. $$5^3$$ divides n but $$5^4$$ does not divide n.

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.

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TS ICET 2017 - Question 21

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C : X :: ------ : U

A

B

B

D

C

F

D

H

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TS ICET 2017 - Question 22

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TSR : IHG :: WVU : -------

A

FED

B

FDE

C

DEF

D

EFD

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TS ICET 2017 - Question 23

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1973 : February 28 :: 2016 : -------

A

January 31

B

February 29

C

April 30

D

December 31

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TS ICET 2017 - Question 24

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$$\sqrt{9 + 2\sqrt{14}}, \sqrt{7 + \sqrt{58}}, \sqrt{5 + 2\sqrt{15}}, \sqrt{3 + \sqrt{62}}, -------$$

A

3

B

$$\sqrt{10}$$

C

$$\sqrt{1 + \sqrt{61}}$$

D

5

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TS ICET 2017 - Question 25

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16GH61TS, 25EF52VU, 36CD63XW, ---------

A

49AB94ZY

B

49BA94YZ

C

49AB94YZ

D

49BA94ZY

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TS ICET 2017 - Question 26

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336, 210, 120, 60, ---------

A

54

B

44

C

34

D

24

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TS ICET 2017 - Question 27

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B, A, D, E, F, I, H, ------, J, U

A

O

B

E

C

A

D

I

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TS ICET 2017 - Question 28

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14, 22, 32, 44, 58, -------, 92

A

72

B

74

C

76

D

78

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TS ICET 2017 - Question 29

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1 C 5, 7 I 11, --------, 19 U 23

A

13 L 15

B

15 Q 17

C

13 O 17

D

13 S 15

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TS ICET 2017 - Question 30

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$$\frac{2}{5}, \frac{3}{10}, \frac{5}{26}, -----, \frac{11}{122}$$

A

$$\frac{8}{65}$$

B

$$\frac{7}{43}$$

C

$$\frac{9}{82}$$

D

$$\frac{7}{50}$$

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TS ICET 2017 - Question 31

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A

53

B

71

C

89

D

111

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TS ICET 2017 - Question 32

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A

Chennai

B

Chandigarh

C

Pune

D

Patna

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TS ICET 2017 - Question 33

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A

(3, 7, 30)

B

(4, 8, 24)

C

(5, 9, 28)

D

(12, 6, 36)

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TS ICET 2017 - Question 34

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A

$$4x^2 + 4x + 8$$

B

$$4x^2 + 4x + 1$$

C

$$x^2 + 2x + 1$$

D

$$x^2 + 4x + 4$$

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TS ICET 2017 - Question 35

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A

1 N 4

B

1 S 9

C

2 U 1

D

2 X 5

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TS ICET 2017 - Question 36

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1, 3, 6, 10, 15, -----, 28

A

16

B

19

C

21

D

27

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TS ICET 2017 - Question 37

Report

2, 10, 26, 82, ------, 730

A

102

B

132

C

182

D

242

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TS ICET 2017 - Question 38

Report

BFJ, EIM, HLP, KPS, ------

A

NVR

B

NRV

C

VRN

D

RVN

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TS ICET 2017 - Question 39

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$$111\frac{1}{9}, 125, 142\frac{6}{7}, ------, 200$$

A

$$156\frac{6}{7}$$

B

$$167\frac{6}{7}$$

C

$$146\frac{2}{3}$$

D

$$166\frac{2}{3}$$

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TS ICET 2017 - Question 40

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$$27, 48, -----, 108, 147, 192$$

A

63

B

72

C

75

D

78

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TS ICET 2017 - Question 41

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(3, 4, 5), (6, 6, 6), (10, 9, 8), (15, 13, 11), (21, 18, 15), -------

A

(27, 23, 19)

B

(27, 24, 20)

C

(28, 23, 19)

D

(28, 24, 20)

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TS ICET 2017 - Question 42

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00011, 00110, 01001, 01100, 01111, -----

A

10110

B

10010

C

01111

D

11111

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TS ICET 2017 - Question 43

Report

3, 6, 11, 20, ------, 70

A

28

B

32

C

37

D

57

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TS ICET 2017 - Question 44

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$$\frac{9}{3}, \frac{28}{4}, \frac{126}{6}, \frac{344}{8}, ------$$

A

$$\frac{730}{10}$$

B

$$\frac{513}{9}$$

C

$$\frac{1001}{11}$$

D

$$\frac{1332}{12}$$

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TS ICET 2017 - Question 45

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5, 15, 30, 50, -----, 105

A

75

B

80

C

85

D

90

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TS ICET 2017 - Question 46

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On which item the profit are increasing year by year?

A

A

B

B

C

C

D

D

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TS ICET 2017 - Question 47

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Taking the total profit during the financial year 2012-13 of the company what percentage of profit is earned on the item A?

A

20%

B

25%

C

30%

D

35%

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TS ICET 2017 - Question 48

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What is the percentage increase of profit on item B during 2012-2013 over the previous year?

A

30%

B

25%

C

15%

D

10%

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TS ICET 2017 - Question 49

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Which item has given maximum profit in all the years put together?

A

A

B

B

C

C

D

D

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TS ICET 2017 - Question 50

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Which item has the reduced profit compared to previous year twice during the five years?

A

A

B

B

C

C

D

D

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TS ICET 2017 - Question 51

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What is the percentage of E category families in the colony?

A

36%

B

25%

C

20%

D

15%

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TS ICET 2017 - Question 52

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If there are 108 families in category B, then what is the number of families in category F?

A

18

B

36

C

54

D

72

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TS ICET 2017 - Question 53

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If the total number of families in the colony is 720, what is the number of families in category A?

A

120

B

108

C

96

D

72

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TS ICET 2017 - Question 54

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If d and e respectively denote the number of families in the categories D and E; and if d = ke, then k =

A

$$\frac{10}{9}$$

B

$$\frac{8}{7}$$

C

$$\frac{7}{8}$$

D

$$\frac{9}{10}$$

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TS ICET 2017 - Question 55

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If the category F has 10 families, then the total number of families in the colony is

A

360

B

240

C

200

D

80

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TS ICET 2017 - Question 56

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The code word for TELANGANA is

A

JQLREWERE

B

JQLEWRERE

C

JQLEWERER

D

JQLERWERE

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TS ICET 2017 - Question 57

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The code word for NAVYSHIP is

A

REPYGZCX

B

REPYZGCX

C

REYPZGXC

D

RPEYZGCX

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TS ICET 2017 - Question 58

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The number of letters in the alphabet that are coded to themselves is

A

0

B

1

C

2

D

3

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TS ICET 2017 - Question 59

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The word coded as XQRKCL is

A

SANTRO

B

HOCKEY

C

LAYOUT

D

PENCIL

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TS ICET 2017 - Question 60

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The word coded as OUMGQ is

A

USAGE

B

UNCLE

C

MONEY

D

MOUSE

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TS ICET 2017 - Question 61

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If GATE is coded as 10042308, then the LURE is coded as

A

15212108

B

15241805

C

15242108

D

12182105

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TS ICET 2017 - Question 62

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If GALAXY is coded as PXIXUV, then code word for STAR is

A

PQXN

B

PQXM

C

PQXO

D

PQOX

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TS ICET 2017 - Question 63

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If TABLE is coded as SZAKD, then the code for HOUSEHOLD is

A

GNTRDGNKC

B

GOUSEGOLC

C

GOUSDGKNC

D

GNTSEGNKC

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TS ICET 2017 - Question 64

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If COMPUTER is coded as OCPMTURE, then the code for POPULATION is

A

OPPUAILTON

B

OPUPALITNO

C

OUPPLATION

D

OPPALUTION

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TS ICET 2017 - Question 65

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If PLACEMENT is coded as MIXZBJBKQ, then the word coded as JLRPB is

A

MONEY

B

MOUSE

C

METER

D

MOULD

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TS ICET 2017 - Question 66

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If today is Sunday, what day of the week was it 124 days before ?

A

Monday

B

Tuesday

C

Wednesday

D

Thursday

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TS ICET 2017 - Question 67

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A clock strikes once, twice, thrice, ...., twelve times at 1, 2, 3,...., 12 O' clock and once at every half-an-hour. The number of times strikes between 3.05 am to 11.55 a.m. is

A

81

B

69

C

67

D

63

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TS ICET 2017 - Question 68

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Four cars A, B, C and D start respectively at 9.30 am, 10.30 am, 2.30 pm and 2.45 pm and reach their respective destinations at 12.15 pm, 11.45pm, 9.15 pm and 8.30 pm same day. The car which travelled for short time is

A

A

B

B

C

C

D

D

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TS ICET 2017 - Question 69

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A is the daughter of B; C is the brother of B, and D is the mother of C. How A is related to D?

A

Maternal Uncle

B

Paternal Uncle

C

Granddaughter

D

Grandmother

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TS ICET 2017 - Question 70

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Reaching the venue of the meeting at 8.15, a person R found that he is half-an-hour earlier than the person Q who came 40 minutes late. The scheduled time of the meeting is

A

8.05

B

8.10

C

8.15

D

8.45

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TS ICET 2017 - Question 71

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Three doctors A, B and C have consultation schedule as follows :
(i) A - Tuesday and Thursday - 12.00 noon 4.00 pm.
(ii) B - Monday, Thursday, Friday - 10.00 am to 2.00 pm.
(iii) C - Monday, Wednesday, Thursday - 9.00 am to 2.00 pm.
The day and the time slot at which all of A, B, C are available is

A

Monday, 12.00 noon to 2.00 pm

B

Monday, 10.00 am to 12.00 noon

C

Thursday, 2.00 pm to 4.00 pm

D

Thursday, 12.00 noon to 2.00 pm

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TS ICET 2017 - Question 72

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Five persons A, B, C, D and E sit in arow on a bench such that D sits between B and E. If C and D are not together,the persons sitting on either end of the bench are

A

A, B

B

B, C

C

C, A

D

D, E

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TS ICET 2017 - Question 73

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For real numbers x and y, if xoy = x + y - xy, then the number of distinct real values of x for which xox = 1 holds is

A

0

B

1

C

2

D

3

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TS ICET 2017 - Question 74

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If $$E \downarrow F = (E + F) + (E - F)^2$$ and $$E \uparrow F = (E + F)^3 - (E - F)^3$$, then $$(3 \downarrow 5) \uparrow (2 \downarrow 3) =$$

A

5616

B

5876

C

5926

D

5986

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TS ICET 2017 - Question 75

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If $$p = 1 + \frac{1}{2} + \frac{1}{2^2} + ..... \infty$$ and $$q = 1 + \frac{1}{3} + \frac{1}{3^2} + ..... \infty$$, then $$\frac{p + q}{pq} =$$

A

$$\frac{7}{2}$$

B

$$\frac{7}{6}$$

C

$$\frac{21}{2}$$

D

$$\frac{25}{6}$$

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TS ICET 2017 - Question 76

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If $$2^x = 4^y = 8^z$$ and xyz = 288, then $$x + y + z =$$

A

72

B

48

C

36

D

22

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TS ICET 2017 - Question 77

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$$x^{\frac{1}{3}} + y^{\frac{1}{3}} + z^{\frac{1}{3}} = 0 \Rightarrow \frac{x + y + z}{\sqrt[3]{xyz}} =$$

A

1

B

2

C

3

D

0

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TS ICET 2017 - Question 78

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$$a : b = 2 : 5 \Rightarrow a^2 - ab + b^2 : a^2 + ab + b^2 =$$

A

17 : 39

B

19 : 39

C

31 : 39

D

18 : 39

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TS ICET 2017 - Question 79

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There are 450 coins, in abag, of denominations ₹ 1, 50 p and 25 p. The ratio of their values is 2 : 3 : 4, then the number of 50 p coins is

A

100

B

200

C

150

D

250

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TS ICET 2017 - Question 80

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$$\sqrt{10 + 2\sqrt{6} + 2\sqrt{10} + 2\sqrt{15}} =$$

A

$$\sqrt{2} + 3 + \sqrt{5}$$

B

$$\sqrt{2} + \sqrt{3} + \sqrt{5}$$

C

$$\sqrt{3} + \sqrt{5} + \sqrt{6}$$

D

$$2 + \sqrt{3} + \sqrt{5}$$

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TS ICET 2017 - Question 81

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$$\frac{1}{\sqrt{12 - 2\sqrt{35}}} - \frac{1}{\sqrt{8 - 2\sqrt{15}}} - \frac{2}{\sqrt{10 + 2\sqrt{21}}} =$$

A

$$2\sqrt{3}$$

B

$$2\sqrt{5}$$

C

$$2\sqrt{7}$$

D

0

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TS ICET 2017 - Question 82

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The greatest integer having five digits and is divisible by 137 is

A

99873

B

99862

C

99877

D

99973

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TS ICET 2017 - Question 83

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The largest three digit number, which when divided by 3 and 8 leave remainders 1 and 3 respectively, is

A

993

B

931

C

979

D

955

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TS ICET 2017 - Question 84

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Traffic lights at 3 junctions A, B and C change every 15, 25 and 30 seconds respectively. If all the lights change simultaneously at 10. a.m., when will they change together apain?”

A

2 min 30 sec past 10 a.m.

B

2 min 20 sec past 10 a.m.

C

5 min 10 sec past 10 a.m.

D

5 min 20 sec past 10 a.m.

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TS ICET 2017 - Question 85

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The gcd of two numbers is 23 and their sum is 184, Then the two such numbers among the following are

A

69, 112

B

46, 138

C

69, 115

D

46, 124

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TS ICET 2017 - Question 86

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In the decimal representation of $$\frac{3}{22}$$ the digit in the $$25^{th}$$ decimal place is

A

3

B

6

C

7

D

4

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TS ICET 2017 - Question 87

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$$\left[1 - \left\{1 - \left(1 + \frac{3}{7}\right)^{-1}\right\}^{-1}\right]^{-1} =$$

A

$$\frac{3}{10}$$

B

$$\frac{3}{7}$$

C

$$-\frac{3}{7}$$

D

$$-\frac{3}{10}$$

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TS ICET 2017 - Question 88

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If $$x = \sqrt{3 + \sqrt{3 + \sqrt{3 + .....}}}$$, then a true inequality among the following is

A

1 < x < 2

B

2 < x < 2.5

C

2.5 < x < 3

D

3 < x < 4

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TS ICET 2017 - Question 89

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The cost price of an article is ₹ 800. Its marked price is ₹ 1,060. If the shopkeper suffers a loss of 12% on its sale, then the discount allowed on the article (approximately) is

A

$$30\frac{1}{2}\%$$

B

$$32\frac{1}{3}\%$$

C

$$33\frac{1}{2}\%$$

D

$$35\%$$

View Solution

TS ICET 2017 - Question 90

Report

The present population of a city is 9075 thousands. If the annual increase of population is 10%,then what was the population of the city (in thousands) 2 years ago ?

A

7800

B

7500

C

8500

D

8200

View Solution

TS ICET 2017 - Question 91

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If 16% of a property is worth ₹ 3.52 lac, then 50% of the propeity is worth (in lacs of rupees) is

A

22

B

18

C

16

D

11

View Solution

TS ICET 2017 - Question 92

Report

The cost price of 10 articles is equal to the sale price of 12 of the same articles, Then the outcome of the transaction is

A

$$16\frac{2}{3} \%$$ gain

B

$$16\frac{2}{3} \%$$ loss

C

$$8\frac{2}{3} \%$$ gain

D

$$8\frac{2}{3} \%$$ loss

View Solution

TS ICET 2017 - Question 93

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By selling two articles each at ₹ 480, a merchant gets a profit of 20% on one and loss of 20% on the other. In the total transaction the merchant gets a

A

4% loss

B

no loss no gain

C

5% loss

D

5% gain

View Solution

TS ICET 2017 - Question 94

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Two persons A and B started a business investing ₹ 3.5 lacs and ₹ 6.5 lacs each respectively. After 6 months A has with drawn from the business while C joined by investing ₹ 7.5 lacs. The share of A in the year-end profit of ₹ 2.4 lacs is .

A

₹ 35,000

B

₹ 45,000

C

₹ 55,000

D

₹ 75,000

View Solution

TS ICET 2017 - Question 95

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A person A starts a business with some capital. After four months B joins with a capital 60% more than that of A. The share of A (in ₹)in the year- end profit of ₹ 6,20,000 is

A

3,10,000

B

2,70,000

C

3,00,000

D

3,20,000

View Solution

TS ICET 2017 - Question 96

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Two pipes X and Y can fill an empty tank in 18 min and 24 min respectively. Both the pipes are opned After some time X is closed while Y is continued till the tank is filled. If the tank is filled in 12 minutes, then X is stopped after

A

6 min

B

9 min

C

8 min

D

10 min

View Solution

TS ICET 2017 - Question 97

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Taps A and B can fill a tank in 3 hrs. and 4 hrs. respectively. Tap C can empty the full tank in 6 hrs. If A, B and C are opened simultaneously, then the tank will be filled in

A

120 min

B

140 min

C

144 min

D

160 min

View Solution

TS ICET 2017 - Question 98

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The speed of the train(in kmph) of 180 m long which crosses a bridge of length 120 m in 15 seconds is

A

36

B

72

C

45

D

63

View Solution

TS ICET 2017 - Question 99

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A starts from P at 6a.m. and reaches Q in 4 hours. B starts from Q at 8 a.m. and reaches P at 10 a.m. At what time A and B meet?

A

8.40 a.m.

B

8.30 a.m.

C

9.00 a.m.

D

9.30 a.m.

View Solution

TS ICET 2017 - Question 100

Report

A can do a piece of work in 12days and B in 16 days. After working for 4 days with A, B leaves the work.The number of days required to finish the remaining work by A alone is

A

2

B

3

C

4

D

5

View Solution

TS ICET 2017 - Question 101

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A, B and C together can complete a piece of work in 30 days. A takes twice as long as B and C together take to complete the work while B takes twice as long as A and C together to complete the same work. The number of days C alone needs to complete the work is

A

90

B

85

C

82

D

78

View Solution

TS ICET 2017 - Question 102

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If the area of a sector in a circle is $$\frac{77}{3} cm^2$$ and if the radius of the circle is 7 cm, then the sectorial angle is

A

$$45^\circ$$

B

$$30^\circ$$

C

$$60^\circ$$

D

$$90^\circ$$

View Solution

TS ICET 2017 - Question 103

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The perimeter of a rhombus is 40 cm and one of its diagonals is 16 cm. Then the area (in $$cm^2$$) of the rhombus is

A

48

B

192

C

96

D

64

View Solution

TS ICET 2017 - Question 104

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A hollow road-roller 63 cm wide with circumference of 440 cm is made up of iron, If its thickness is 4 cm, then the volume (in $$cm^2$$) of the metal used is

A

97712

B

107712

C

107714

D

106612

View Solution

TS ICET 2017 - Question 105

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The dimensions of a rectangular solid S are $$4 \times 9 \times k$$. If the volume of S is the same as the volume of a cube of side 6, then the value of k is

A

6

B

12

C

18

D

36

View Solution

TS ICET 2017 - Question 106

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A door is in the shape of rectangle surmounted by a semicircle on its breadth. If the rectangle dimensions are 10 ft $$\times$$ 7 ft. then the area of the cross-section of the door (in sq. ft.) is

A

89

B

$$87\frac{1}{4}$$

C

$$89\frac{1}{4}$$

D

87

View Solution

TS ICET 2017 - Question 107

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A solid cylinder of height 6 cm and base radius 2 cm is melted and cast into a cone of the same base radius as that of the cylinder. Then the height of the cone (in cm) is

A

9

B

18

C

21

D

24

View Solution

TS ICET 2017 - Question 108

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A cylinder is of height h and base radius r. If t denotes the total surface area and v its volume, then $$\frac{t}{2v} =$$

A

$$\frac{2}{r} + \frac{2}{h}$$

B

$$\frac{3}{r} + \frac{3}{h}$$

C

$$\frac{1}{2r} + \frac{1}{2h}$$

D

$$\frac{1}{r} + \frac{1}{h}$$

View Solution

TS ICET 2017 - Question 109

Report

The binary equivalent of the decimal number 245 is

A

1110101

B

11110101

C

11101011

D

11110110

View Solution

TS ICET 2017 - Question 110

Report

The remainder when $$17^{271}$$ is divided by 29 is

A

11

B

10

C

12

D

13

View Solution

TS ICET 2017 - Question 111

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If p, q are statements, then $$(\sim p) \vee (\sim q)$$ is equivalent to

A

$$p \Rightarrow \sim q$$

B

$$\sim p \Rightarrow q$$

C

$$\sim \Rightarrow \sim q$$

D

$$p \Rightarrow q$$

View Solution

TS ICET 2017 - Question 112

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If p, q are any two statements, then $$\sim (p \vee (\sim p \wedge q))$$ is equivalent to

A

$$\sim (p \wedge q)$$

B

$$\sim p \vee q)$$

C

$$(\sim p) \wedge (\sim q)$$

D

$$p \rightarrow q$$

View Solution

TS ICET 2017 - Question 113

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If A is the set of all primes not exceeding 20 and is the set of odd positive integers not exceeding 20, then $$(A - B) \cup (B - A) =$$

A

{1, 9, 15, 19}

B

{2, 9, 15}

C

{1, 2, 9, 15}

D

{9, 15}

View Solution

TS ICET 2017 - Question 114

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If $$f(x) = \log \frac{1 + x}{1 - x}$$ and $$g(x) = \frac{3x + x^3}{1 + 3x^2}$$, then f(g(x)) =

A

f(x)

B

g(x)

C

3g(x)

D

3f(x)

View Solution

TS ICET 2017 - Question 115

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If a set A has 4 elements, another set Bhas 7 elements, then the number of injective mappings from into B is

A

920

B

840

C

120

D

720

View Solution

TS ICET 2017 - Question 116

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The equation of the line passing through (-4, 3) and is perpendicular to the line segment joining the points (1, -3) and (-5, 1) is

A

$$3x - 2y + 18 = 0$$

B

$$3x + 2y + 18 = 0$$

C

$$2x - 3y + 14 = 0$$

D

$$2x + 3y + 8 = 0$$

View Solution

TS ICET 2017 - Question 117

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The equation of aline passing through the point (2, 3) and making intercepts in the ratio of 2 : 3 on the x and y axes is

A

3x - 2y + 12 = 0

B

3x + 2y - 12 = 0

C

2x + 3y + 12 = 0

D

2x - 3y - 12 = 0

View Solution

TS ICET 2017 - Question 118

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$$\sin^2 \frac{\pi}{4} + \sin^2 \frac{3 \pi}{4} + \sin^2 \frac{5 \pi}{4} + \sin^2 \frac{7 \pi}{4} =$$

A

0

B

1

C

2

D

4

View Solution

TS ICET 2017 - Question 119

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$$\frac{\tan 40^\circ + \tan 20^\circ}{\cot 45^\circ - \cot 50^\circ \cot 70^\circ}$$

A

3

B

$$\sqrt{3}$$

C

$$\frac{1}{\sqrt{3}}$$

D

$$\frac{1}{3}$$

View Solution

TS ICET 2017 - Question 120

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$$\tan A + \sin A = p; \tan A - \sin A = q \Rightarrow p^2 - q^2 = $$

A

$$2(\tan^2 A + \sin^2 A)$$

B

$$2(\tan^2 A - \sin^2 A)$$

C

$$4 \tan^2 A \sin^2 A$$

D

$$4 \tan A \sin A$$

View Solution

TS ICET 2017 - Question 121

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Observed from the top and foot of a tower 10 metres high the angles of elevation of the top of a second tower are $$30^\circ$$ and $$60^\circ$$ respectively. The height of the second tower (in metres)is

A

15

B

17.5

C

20

D

22.5

View Solution

TS ICET 2017 - Question 122

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$$x + y + z \Rightarrow x^3 + y^3 + 3xyz =$$

A

0

B

-3xyz

C

$$3x^2y^2z^2$$

D

$$z^3$$

View Solution

TS ICET 2017 - Question 123

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How much is to be added to (x + 2)(x + 4)(x + 6)(x + 8) to make it a perfect square ?

A

4

B

8

C

16

D

20

View Solution

TS ICET 2017 - Question 124

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f(x) is a polynomial that leaves remainders 6 and 4 respectively when divided by (x - 2) and (x - 3). The remainder of f(x) when divided by $$x^2 - 5x + 6$$ will be

A

2(x + 3)

B

2(-x - 5)

C

2(-x + 5)

D

2(x + 5)

View Solution

TS ICET 2017 - Question 125

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If $$x^5 - 7x^4 + 9x^3 + 7x^2 - 10x = (x^2 - 1)g(x)$$, then one of the values of a such that g(a) = 0 is

A

-5

B

5

C

4

D

-4

View Solution

TS ICET 2017 - Question 126

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$$\frac{10}{x + y} - \frac{9}{x - y} = 2; \frac{6}{x + y} + \frac{15}{x - y} = 8 \Rightarrow 2x + 3y =$$

A

$$-\frac{5}{2}$$

B

$$\frac{5}{2}$$

C

$$\frac{7}{2}$$

D

$$-\frac{7}{2}$$

View Solution

TS ICET 2017 - Question 127

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$$\frac{xy}{x + y} = \frac{6}{5}, \frac{xy}{y - x} = 6 \Rightarrow (x, y) =$$

A

(-2, -3)

B

$$\left(-\frac{1}{2}, -\frac{1}{3}\right)$$

C

$$\left(\frac{1}{2}, \frac{1}{3}\right)$$

D

(2, 3)

View Solution

TS ICET 2017 - Question 128

Report

The sum of the integers between 1 and 200 which are divisible by both 3 and 7 is

A

945

B

999

C

1327

D

1594

View Solution

TS ICET 2017 - Question 129

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The third and the fifth terms of a geometric progression are respectively the second and the eighth terms ofan arithmetic progression whosefirst term and the common difference are both equal to 16. The first term of the geometric progression is

A

8

B

6

C

4

D

2

View Solution

TS ICET 2017 - Question 130

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If $$^{14}C_{r - 1}, ^{14}C_{r}, ^{14}C_{r + 1}$$ are in Arithmetic Progression, the possible value of r are

A

4, 8

B

5, 9

C

6, 10

D

7, 11

View Solution

TS ICET 2017 - Question 131

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If the coefficients of $$x^7$$ and $$x^8$$ are equal in the binomial expansion of $$\left(3 + \frac{x}{2}\right)^n$$, then n =

A

42

B

48

C

55

D

58

View Solution

TS ICET 2017 - Question 132

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Let $$ A = \begin{bmatrix}0 & \alpha \\\beta & 0 \end{bmatrix}, \alpha \neq 0, \beta \neq 0$$. If $$A^3 + A = 0$$, then $$\alpha \beta =$$

A

1

B

$$\frac{1}{2}$$

C

$$-\frac{1}{2}$$

D

-1

View Solution

TS ICET 2017 - Question 133

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$$f(\theta) = \begin{bmatrix}\sin \theta & -\cos \theta \\\cos \theta & \sin \theta \end{bmatrix} \Rightarrow f^{-1}(\theta) = $$

A

$$-f(- \theta)$$

B

$$f\left(\frac{\pi}{2} + \theta\right)$$

C

$$f\left(\frac{\pi}{2} - \theta\right)$$

D

$$f(\theta)$$

View Solution

TS ICET 2017 - Question 134

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$$\lim_{x \rightarrow \infty} \frac{(1 + x)^{10} + (2 + x)^{10} + ........ + (5 + x)^{10}}{100 + x^{10}} =$$

A

0

B

1

C

3

D

5

View Solution

TS ICET 2017 - Question 135

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$$y = \tan^{-1}\left(\frac{\cos x + \sin x}{\cos x - \sin x}\right) \Rightarrow \frac{dy}{dx} =$$

A

$$\tan \frac{x}{2}$$

B

$$\tan x$$

C

x

D

1

View Solution

TS ICET 2017 - Question 136

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If $$l_1$$ and $$l_2$$ are parallel lines, then x =

A

30

B

45

C

60

D

75

View Solution

TS ICET 2017 - Question 137

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In the adjacent diagram ABCD is a quadrilateral; E and F are the foot of the perpendiculars drawn from B and Don AC. If AC = 8, EC = 3, BC = and area of ABCD = 20, then DF =

A

1

B

2

C

3

D

4

View Solution

TS ICET 2017 - Question 138

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P, A, B are three points on a circle and PT is a tangent to the circle. If $$\angle APB = 45^\circ$$ and $$\angle TPB = 60^\circ$$, then $$\angle ABP =$$

A

$$45^\circ$$

B

$$60^\circ$$

C

$$75^\circ$$

D

$$90^\circ$$

View Solution

TS ICET 2017 - Question 139

Report

The radius of the circumcircle of the triangle with vertices (0, 0); (4, 4) and (0, 8) is

A

$$\sqrt{2}$$

B

$$2\sqrt{2}$$

C

3

D

4

View Solution

TS ICET 2017 - Question 140

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The coordinates of the point on the y-axis which is equidistant from the points (7, 6) and (-3, 4) is

A

(0, 0)

B

(0, -25)

C

(0, -15)

D

(0, 15)

View Solution

TS ICET 2017 - Question 141

Report

The Arithmetic Mean of the following data is

A

17

B

21

C

23

D

27

View Solution

TS ICET 2017 - Question 142

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The median of the following frequency distribution is

A

17

B

20

C

22

D

25

View Solution

TS ICET 2017 - Question 143

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In a frequency distribution the Arithmetic mean is 50 and the median is 52. Its mode is

A

51

B

53

C

54

D

56

View Solution

TS ICET 2017 - Question 144

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If the Standard Deviation of n observations $$x_1, x_2, ....... x_n$$ is 17, then the Standrad Deviation of $$2x_1 - 15, 2x_2 - 15, ....., 2x_n - 15$$ is

A

34

B

49

C

54

D

59

View Solution

TS ICET 2017 - Question 145

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The sum of 5 observations is 25 and the sum of their squares is 145, The standard deviation of these observations is

A

$$2\sqrt{2}$$

B

2

C

$$\frac{29}{5}$$

D

$$\sqrt{\frac{29}{5}}$$

View Solution

TS ICET 2017 - Question 146

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The rank correlation coefficient of the following data:

A

$$\frac{5}{23}$$

B

$$\frac{6}{41}$$

C

$$\frac{6}{35}$$

D

$$\frac{5}{49}$$

View Solution

TS ICET 2017 - Question 147

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Out of 100 consecutive positive integers two are chosen at random. The probability that their sum is odd is

A

$$\frac{1}{50}$$

B

$$\frac{49}{50}$$

C

$$\frac{51}{99}$$

D

$$\frac{50}{99}$$

View Solution

TS ICET 2017 - Question 148

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Three vertices out of six vertices of a regular hexagon are chosen at random. The probability that these verticesform an equilateral triangle is

A

$$\frac{1}{6}$$

B

$$\frac{1}{10}$$

C

$$\frac{1}{15}$$

D

$$\frac{1}{20}$$

View Solution

TS ICET 2017 - Question 149

Report

The Probability of getting a total of 17 on a throw of 3 dices is

A

$$\frac{17}{216}$$

B

$$\frac{17}{108}$$

C

$$\frac{1}{73}$$

D

$$\frac{17}{73}$$

View Solution

TS ICET 2017 - Question 150

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A bag contains 4 Green, 6 Black and 7 White balls. If one ball is drawn from the bag at random,the probability thatit is either ablack ora white ball is

A

$$\frac{42}{289}$$

B

$$\frac{1}{17}$$

C

$$\frac{11}{17}$$

D

$$\frac{13}{17}$$

View Solution

TS ICET 2017 - Question 151

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Humongous

A

funny

B

enormous

C

marvellous

D

full of variety

View Solution

TS ICET 2017 - Question 152

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Queasy

A

nauseous

B

funny

C

trembling

D

disorderly

View Solution

TS ICET 2017 - Question 153

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Cogent

A

agent

B

convincing

C

active

D

co-worker

View Solution

TS ICET 2017 - Question 154

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Paramount

A

a huge para

B

permanent

C

supreme

D

mountains described in a para

View Solution

TS ICET 2017 - Question 155

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Thwart

A

convert

B

prevent

C

pervert

D

thrust

View Solution

TS ICET 2017 - Question 156

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Arduous

A

untidy

B

excess

C

skilled

D

difficult

View Solution

TS ICET 2017 - Question 157

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The workers were delighted as their pay scales were revised ........

A

respectively

B

retrospectvely

C

retrogressively

D

redundantly

View Solution

TS ICET 2017 - Question 158

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Due to his corrupt practices, the officer was .......

A

promoted

B

demoted

C

rewarded

D

praised

View Solution

TS ICET 2017 - Question 159

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One who is determined to exact full vengeance for wrongs done to him is .......

A

virulent

B

usurer

C

vindictive

D

imposter

View Solution

TS ICET 2017 - Question 160

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One Who does not care for literature or art is .......

A

illiterate

B

primitive

C

a philistine

D

a barbarian

View Solution

TS ICET 2017 - Question 161

Report

Which was the first commercially available computer?

A

ENIAC

B

EDSAC

C

UNIVAC

D

Mark I

View Solution

TS ICET 2017 - Question 162

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In FDM, every user uses

A

same frequency band

B

different frequency bands

C

a frequency band which is assigned at random

D

multiple frequency bands

View Solution

TS ICET 2017 - Question 163

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Group of instructions that directs the computer is called

A

storage

B

memory

C

logic

D

program

View Solution

TS ICET 2017 - Question 164

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An ISP is an

A

Internet Service Provider

B

Internet Service Producer

C

Internet Selection Provider

D

Internet Service Product

View Solution

TS ICET 2017 - Question 165

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The most powerful type of computer is called

A

a micro computer

B

a mini computer

C

a mainframe computer

D

a super computer

View Solution

TS ICET 2017 - Question 166

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The expansion for the abbreviation GDP, an important measure of economy, is

A

Growth Development Project

B

Growth in Domestic Production

C

Gross Domestic Product

D

Goods Demand Projection

View Solution

TS ICET 2017 - Question 167

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The market for noble metals like Gold and Silver is called

A

Bullion Market

B

Bullish Market

C

Stock Market

D

Capital Market

View Solution

TS ICET 2017 - Question 168

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As a result of disciplinary action, when an employee is asked not to come to work pending enquiry, it is called

A

termination

B

suspension

C

leave

D

shut off

View Solution

TS ICET 2017 - Question 169

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An organization's involvement within the community is called

A

outreach

B

outrider

C

interact

D

intervene

View Solution

TS ICET 2017 - Question 170

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The availability of liquid assests to a market or company is called

A

liquidate

B

liquidity

C

liquidize

D

liquid

View Solution

TS ICET 2017 - Question 171

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A: “He never does a stroke of work in the house.”
B: “Well, may be no one asked him.”
‘B’ implies that ‘A’ is

A

harsh

B

unfair

C

angry

D

irritated

View Solution

TS ICET 2017 - Question 172

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Change the following into active voice :
You and he were seen by her.

A

She saw you and him.

B

She saw both of you.

C

She had seen you and him

D

She saw both of them

View Solution

TS ICET 2017 - Question 173

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If I agree to your proposal, I will be backing the wrong horse.
The underlined phrase means

A

gambling

B

unfortunate

C

fortunate

D

prosperous

View Solution

TS ICET 2017 - Question 174

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"Was this the sort of thing you wanted?"
The tone of the speaker in the above sentence is

A

accusing

B

rude

C

polite

D

cheerful

View Solution

TS ICET 2017 - Question 175

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The subject is held over till the next meeting.
The underlined phrase means

A

postponed

B

dismissed

C

taken care of

D

saved

View Solution

TS ICET 2017 - Question 176

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A: “Can you explain this theory to me ?”
B: “Why ? Areyouafraidoffailing in the exam again?”
In this conversation ‘B’s’ attitude is

A

helpful

B

scornful

C

courteous

D

concerned

View Solution

TS ICET 2017 - Question 177

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A: “Did the resolution get the approval ?”
B: “It was called in question by many.”
‘B’implies that many

A

approved the contents

B

doubted the contents

C

thought it a model question paper

D

framed the resolution along with a questionnaire

View Solution

TS ICET 2017 - Question 178

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They decided to rest ----------- the shade ofthe tree before resuming their walk.

A

on

B

below

C

underneath

D

in

View Solution

TS ICET 2017 - Question 179

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They watched the impressive tableau pass ---------

A

away

B

by

C

on

D

up

View Solution

TS ICET 2017 - Question 180

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Something should be done ---------- unemployment.

A

for

B

in

C

with

D

about

View Solution

TS ICET 2017 - Question 181

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Whom are you ------- for?

A

waiting

B

awaiting

C

waiting on

D

receiving

View Solution

TS ICET 2017 - Question 182

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His body has ---------- there under suspicion.

A

lain

B

laid

C

lied

D

lost

View Solution

TS ICET 2017 - Question 183

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After heavy rains in the catchment areas, a river might --------- several feet.

A

elevate

B

raise

C

rise

D

grow

View Solution

TS ICET 2017 - Question 184

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The vice chairman had to conduct the meeting as the chairman did not ----------

A

turn in

B

turn up

C

turn out

D

turn off

View Solution

TS ICET 2017 - Question 185

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It's time you -------- to some work.

A

got in

B

got off

C

got down

D

get up

View Solution

TS ICET 2017 - Question 186

Report

Which mountain specifically referred to by the author did not have snow ?

A

Mt. Kailash

B

Puttucursi

C

Machchu Pichchu

D

Wyna Picchu

View Solution

TS ICET 2017 - Question 187

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Which river is described as sacred in the passage?

A

Amazon

B

Ganga

C

Missisipi

D

Urubamba

View Solution

TS ICET 2017 - Question 188

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Which four sounds constituted Nature’s orchestra according to the passage?

A

Roar of Atlantic, snow fall at mountain, sound of waterfall and chanting at monastery

B

Wind through mountain, flight of birds, water stream and falling of leaves.

C

River crashing at mountain foot, confluence of river into ocean, rustling of dress and clicking of camera.

D

The sound of water, chirping of birds, rains and the wind ruffing through trees.

View Solution

TS ICET 2017 - Question 189

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What does the expression, ‘it retainsits pristine charm’ mean ?

A

It retains its entertainment value.

B

It retains its beautiful charm.

C

It retains its unspoiled old charm,

D

It retains its modern charm.

View Solution

TS ICET 2017 - Question 190

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What does the expression. 'Birds chirped in different octave' mean?

A

Birds voices piereed the silence of the valley.

B

Birds voices could be heard at various frequencies.

C

Birds voices sounded like cacophony

D

Birds tweeted to each other aimlessly.

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TS ICET 2017 - Question 191

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What did the author acquire in his adolescence?

A

Good habits

B

The bad habit of drinking

C

The habit of deceiving peopel

D

The bad habit of smoking

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TS ICET 2017 - Question 192

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From where is the expression ‘Latencyperiod’ borrowed ?

A

Adult psychology

B

Child psychology

C

Educational psychology

D

Abnormal psychology

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TS ICET 2017 - Question 193

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How did the author acquire the 'habit of deceit'?

A

People hated him

B

Because he was not permitted to do many things which he wanted to do.

C

He was lonely.

D

No one sympathized with him.

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TS ICET 2017 - Question 194

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How was the author during the period of adolescence ?

A

Lonely but not unhappy.

B

Lonely and unhappy.

C

Unhappy but by no means lonely.

D

Very friendly and very open.

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TS ICET 2017 - Question 195

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Where did the author maintain secrecy?

A

In emotional but not intellectual life.

B

In intellectual but not emotional life.

C

In emotional and intellectual life.

D

Neither in intellectual nor in emotional life.

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TS ICET 2017 - Question 196

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When does one acquire the capacity to understand and enjoy new culture?

A

When one is willing to accept the new culture uncritically.

B

When one goes through various stages of assimilation.

C

When one is infatuated with the new culture.

D

When one gives up old culture.

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TS ICET 2017 - Question 197

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How many stages of adaptation are described before moving on to the new culture finally?

A

Four

B

Three

C

Two

D

Five

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TS ICET 2017 - Question 198

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When does one go through a critical questioning phase before moving on to the new culture?

A

At the honeymoon stage

B

At the initial stage

C

At the final stage

D

At the second stage

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TS ICET 2017 - Question 199

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Which stage of cultural adoption is comparable to a roller coaster ride ?

A

When you interact with the new culture,

B

While experiencing the honeymoon stage of the new culture.

C

While being critical of the new culture.

D

When you first arrive in a new culture.

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TS ICET 2017 - Question 200

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At which stage of one's entry into the new culture, is one likely to feel quite dependent?

A

At the stage of interaction with the new culture.

B

At the initial stage.

C

At no stage.

D

At all stages.

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