TS ICET 2019 Question Paper Shift-1 (23rd May)

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In questions numbered 1 to 20, a question is followed by data in the form of two statements labeled as I and II. You must decide whetherthe data given in the statements are sufficient to answer the questions. Using the data make an appropriate choice from(1) to (4) as perthe following guidelines:

TS ICET 2019 Shift-1 (23rd May) - Question 1

Howmany teachers teach Physics?
I. There are 11 teachers who teach Mathematics or Physics
II. Of these 11 teachers 7 teach Mathematics and 3 teach both Mathematics and Physics

TS ICET 2019 Shift-1 (23rd May) - Question 2

Is the line PQ parallel to X-axis?
I. Coordinates of P are (4, 5)
II. Coordinates of Q are (2, 3)

TS ICET 2019 Shift-1 (23rd May) - Question 3

Whatis sumofinterior angles of the polygon?
I. Polygonis a closed figure
II. The polygonhas7 sides

TS ICET 2019 Shift-1 (23rd May) - Question 4

For integers a and b is $$(a^3 + b^3)^{\frac{1}{3}}$$ an integer?
I. $$a^3 + b^3$$ is an even integer
II. $$a^3 + b^3$$ is equal to the volume of a box with dimensions 12cm, 18cm and 125cm

TS ICET 2019 Shift-1 (23rd May) - Question 5

ABC Dissquare inscribed in a circle. What is the area of the square?
I. Radius of that circle is 1 unit
II. The centerofthat circle is (0. 0)

TS ICET 2019 Shift-1 (23rd May) - Question 6

Amongthe five rivers $$R_1, R_2, R_3, R_4 and R_5$$ whichoneis the short river?
I. $$R_3$$ is the longest river and $$R_1$$ shorter than $$R_2$$ but longer than $$R_3$$.
II. $$R_4$$ is a little shorter than $$R_2$$ and a little longer than $$R_1$$.

TS ICET 2019 Shift-1 (23rd May) - Question 7

Is the positive integer 7 a multiple of 175?
I. 125 divides n
II. 35 divides n

TS ICET 2019 Shift-1 (23rd May) - Question 8

Whatis the integral value of x ?
I. 10 < x < 20
II. 10 < 9 x + 1 < 20

TS ICET 2019 Shift-1 (23rd May) - Question 9

Is N divisible by 48?
I. $$N = (a - 4)((a -3)(a - 2)(a - 1), a \geq 5$$
II. N is divisible by 8 and 6

TS ICET 2019 Shift-1 (23rd May) - Question 10

Are x and y rational numbers?
I. x + yis a rational number
II. x y is a rational number

TS ICET 2019 Shift-1 (23rd May) - Question 11

Is x = 93y6 divisible by 9
I. y is divisible by 9
II. y is divisible by 3

TS ICET 2019 Shift-1 (23rd May) - Question 12

At how manypoints do the twocircles intersect?
I. The distance betweentheir centres is 15 cm
II. The radii of the two circles are equal

TS ICET 2019 Shift-1 (23rd May) - Question 13

What is the digit in the units place of n?
I. $$n = 6^k, k$$ is an integer $$\geq 1$$
II. $$n = 8^k, k$$ is an integer $$\geq 1$$

TS ICET 2019 Shift-1 (23rd May) - Question 14

If a and b are real numbers, is a > b?
I. b is the real root of $$ x^3 - 1 = 0$$
II. a is the smaller of the roots of $$x^2 - 1 = 0$$

TS ICET 2019 Shift-1 (23rd May) - Question 15

If $$A$$ ≠ $$\phi$$ and $$R$$ is relation on set $$A$$, then is $$R$$ Transitive?
I. $$R = A \times A$$
II. $$ R \subseteq A \times A$$

TS ICET 2019 Shift-1 (23rd May) - Question 16

Whatis the selling price of each article?
I. The cost price of eacharticle is Rs.500
II. The loss on one article is equal to the gain on other article

TS ICET 2019 Shift-1 (23rd May) - Question 17

Whatis the shortest distance between villages X and Y?
I. Village X is to the north of Village Z at a distance of 35 km
II. Village Y is at a distance of 20km from Z

TS ICET 2019 Shift-1 (23rd May) - Question 18

Howis Y related to X?
I. Y is the spouse of a parent of X
II. X is the brother of Y’s daughter

TS ICET 2019 Shift-1 (23rd May) - Question 19

X and Yare in partnership business for one year. At the end of the year, a profit of Rs.90.000 was earned. What is Y’s share in the profit?
I. Y invested Rs.1.40,000
II. X withdraw his capital after 9 months

TS ICET 2019 Shift-1 (23rd May) - Question 20

Whatis the relative speed of the boy swimming against the current?
I. Speed of the boy instill waters is 5 kmph
II. Speed of the current in 2 kmph

In each of the questions. A sequence of numbers or letters that follow a definite pattern is given. Each question has a blank space. This has to be filled by the correct answer from the four given options to complete the sequence without breaking the pattern.

In the following questions pick the odd thing out:

TS ICET 2019 Shift-1 (23rd May) - Question 32

Each of the questions follow a definite pattern. Observe the same andfill in the blanks withsuitable answers.

TS ICET 2019 Shift-1 (23rd May) - Question 40

$$-\frac{1}{6}, \frac{1}{3}, 1\frac{1}{3}, 2\frac{5}{6}, 4\frac{5}{6}, 7\frac{1}{3}, .............$$

The results of a study conducted on the Academic background of students (in thousands) who took admission into MBA/MCA in the Six Years 2013 to 2018 in a University is given in the following table. Based on this data. answer the questions

TS ICET 2019 Shift-1 (23rd May) - Question 46

What is the percentage of the science students who took admission into these programmes inall the years put together?

TS ICET 2019 Shift-1 (23rd May) - Question 47

What is the approximate percentage of students from Arts who took admission into the programme in the year 2016 when comparedto all the Arts students admitted inall the years put together?

The following Pie Charts show the revenue and expenditure of a public sector undertaking under 5 major heads of account. Based on this data, answer questions

TS ICET 2019 Shift-1 (23rd May) - Question 49

In the Pie chart for the Revenue, what is the difference between the sectorial angle of odd and even heads of accounts?

TS ICET 2019 Shift-1 (23rd May) - Question 50

If the total expenditure is Rs.5000 crores. whatis the difference between the expenditure (in Rs. crores) under heads D and E puttogetherand that of the rest the heads together?

TS ICET 2019 Shift-1 (23rd May) - Question 52

In a particular year the expenditure under the head E is Rs.1240 Crores. Then in the same year, the difference in the expenditure under the heads B and D (in Rs. crores) is

TS ICET 2019 Shift-1 (23rd May) - Question 53

What is the percentage of the expenditure under the head A. when compared to the expenditure on the rest of the heads?

In the following venn diagram square represents Females, triangle represents corporate managers, circle represents IITians and rectangle represents MBAs

The English Alphabet, a code is designed bythe following rules:

1. The vowels are rotated cyclically by moving each vowelto its right by one place.
2. Each consonant from B to Mis moved to the mght by one place cyclically.
3. Each consonant from N to Z is movedto left by one place cyclically.
4. The reverse process is followed for decoding.

A wordor a group ofletters to be coded or decoded based on the certain codes. Using the information, answer the questions.

For the following questions answer them individually
TS ICET 2019 Shift-1 (23rd May) - Question 67

At 5:15 p.m the angle between the hours hand and the minute’s hand of wall clock (in degrees) is

TS ICET 2019 Shift-1 (23rd May) - Question 68

A Clock gains 10 minutes in 24 hours. If the clock is set at the right time at 8:00 a.m on Sunday, the actual tume when the clock shows 1:00 p.m on Monday?

TS ICET 2019 Shift-1 (23rd May) - Question 70

A family has a man. his wife. their four sons and their wives. The first son has three sons and one daughter. the second son has two sons and three daughters. the third and fourth sons have three daughters each. The total number of female members in the whole family is.

TS ICET 2019 Shift-1 (23rd May) - Question 71

A superfast express travelling at 100 kmph takes 2 hours more than another train travelling at 120 kmph to cover the distance betweenthe same two stations (in kms). Then the distance between the stations (in kms)is.

TS ICET 2019 Shift-1 (23rd May) - Question 72

A, B, C, D, E, F and G are sitting around a circular table and facing the centre: G is second to the left of C, C is to the immediate left of F, A is third to the left of E, B is between D and E. Which of the following is true?

TS ICET 2019 Shift-1 (23rd May) - Question 73

If * is defined by $$a * b = a^3 + b^3 - 3ab$$ for $$a, b \epsilon R$$, then $$\frac{(1 * 2) * (1 * 2)}{(1 * 1) * (1 * 1)} =$$

TS ICET 2019 Shift-1 (23rd May) - Question 74

If $$x \downarrow y = (x + y) + (x - y)^2$$ and $$x \uparrow y = (x + y)^3 - (x - y)^3$$ then the value $$\frac{(0 \downarrow 1) \uparrow (0 \downarrow 1)}{(1 \uparrow 2) \downarrow (1 \uparrow 2)} =$$

TS ICET 2019 Shift-1 (23rd May) - Question 75

For ab ≠ 0. if * is defined by $$a * b = \frac{a^2 + b^2}{ab}$$ then $$\frac{(1 * 2) * (2 * 1)}{(1 * 3) + (3 * 1)} =$$

TS ICET 2019 Shift-1 (23rd May) - Question 86

What is the value of the rational number which is the sum of the recurring decimals: $$0.\overline{6} + 0.\overline{7} + 0.\overline{8}$$

TS ICET 2019 Shift-1 (23rd May) - Question 89

Which of the following statements is true?

TS ICET 2019 Shift-1 (23rd May) - Question 90

Due to reduction of $$6\frac{1}{4}\%$$ in the price of onion a person was able to buy 1 kg more for Rs. 120. The original price of onion per kg in Rs. is

TS ICET 2019 Shift-1 (23rd May) - Question 91

5% of income of A is equal to 15% income of B and 10% income o fB is equal to 20% income of C. If the income of C is ₹ 20,000, then the total income of A, B and C (in thousands if Rs.) is

TS ICET 2019 Shift-1 (23rd May) - Question 93

Anarticle is sold for a profit of 20%. Had it been sold fora profit of 25% it would have fetched ₹.50 more. The cost price of the article (in ₹ ) is

TS ICET 2019 Shift-1 (23rd May) - Question 94

A and B entered into a business with capital ₹80.000 and ₹1,20,000 respectively. After 4 months each invested ₹20,000 more. The difference in the share of their profits in the year end profit is ₹68,000 is (in Rs) is

TS ICET 2019 Shift-1 (23rd May) - Question 95

X and Y invested in a business with their capitals respectively in the ratio of 3:2. After deducting 10% of the total profit for taxes if Ys share of profit is Rs. 6.480, then the total profit (in thousandsof Rs.) is

TS ICET 2019 Shift-1 (23rd May) - Question 96

Two pipes A and B can fill a huge tank in 6 hours and 8 hours respectively. If both the pipes are opened simultaneously and the B is tumed off after $$1\frac{1}{2}$$ hours then the time required for the tank to be full (in hours) is

TS ICET 2019 Shift-1 (23rd May) - Question 98

A person P is travelling at 72 kmph while is travelling at 25 meters per second. What is the difference in their speeds in meters per second?

TS ICET 2019 Shift-1 (23rd May) - Question 99

A person takes 6 hours to reach a place. If he reduces his speed by $$\frac{1}{3}$$ then he travels 10 kmless in that time. His speed in kmph is

TS ICET 2019 Shift-1 (23rd May) - Question 100

Of the two workers 4 and B. the worker 4 works twice as fast as B. If B works alone the work could be completed in 12 days. If both A and B work together the numberof days in which the work can be completed is

TS ICET 2019 Shift-1 (23rd May) - Question 101

Three workers can individually complete a work in 7. 14 and 28 days respectively. If all the three work together the number of days needed to complete the same work is

TS ICET 2019 Shift-1 (23rd May) - Question 102

The dimensions of a rectangular filed are 60 meters and 80 meters. Four cowsare tied at the four corners of the field with ropes of lengths 10, 12, 14 and 16 meters respectively. The area of the grass that cows could eat in sq meters is

TS ICET 2019 Shift-1 (23rd May) - Question 103

The length of a roomis 5.5 meters and its width is 3.75 meters. Find the cost (in ₹) of paving the floorat the rate of ₹ 800 per square meters.

TS ICET 2019 Shift-1 (23rd May) - Question 106

The area of square field is $$8450 m^2$$. The time taken by a person to cross the field diagonally with a speed of 3 kmph.(in minutes) is

TS ICET 2019 Shift-1 (23rd May) - Question 112

For any two statements p, q the statement $$\left(p \Rightarrow q \right) \vee \left(\sim \left(\left(\sim p\right) \Leftrightarrow q \right)\right)$$ is false only when

TS ICET 2019 Shift-1 (23rd May) - Question 113

If A, B, C are subsets of a set X and $$A^1 = X - A$$, then $$\left(A \cup \left(B^1 \cap C^1\right)\right) =$$

TS ICET 2019 Shift-1 (23rd May) - Question 114

A relation R defined on a non-empty set A is called anti-symmetric if

TS ICET 2019 Shift-1 (23rd May) - Question 116

Two lines $$L_1$$ and $$L_2$$ make intercepts a. —b and b, —a respectively on the x and y axes. Then angle between $$L_1$$ and $$L_2$$ is

TS ICET 2019 Shift-1 (23rd May) - Question 121

Two boys are on opposite sides of a tower of 80 meters height. They measures the angles of elevation of the top of tower as $$45^\circ$$ and $$60^\circ$$ respectively. The distance between two boys(in meters) is

TS ICET 2019 Shift-1 (23rd May) - Question 123

The polynomial in x of least degree with the roots $$\frac{3}{2}, \frac{2}{3}, \pm \sqrt{3}$$ is

TS ICET 2019 Shift-1 (23rd May) - Question 129

If $$6^{th}$$ term and $$13^{th}$$ term of a geometric progression are 24 and $$\frac{3}{16}$$ respectively, then the $$25^{th}$$ term is

TS ICET 2019 Shift-1 (23rd May) - Question 131

$$\left(1 + x + x^2\right)^n = a_0 + a_1x + a_1x^2 + ......... + a_{2n}x^{2n} \Rightarrow a_1 + a_3 + ....... + a_{2n -1} =$$

TS ICET 2019 Shift-1 (23rd May) - Question 133

If A and B are 3 x 3 matrices. such that the sum of elements along principal diagonal of A is 3 and the sum of elements along principal diagonal of B is 4. then the sum of principal diagonal elements of 3A + 5B =

TS ICET 2019 Shift-1 (23rd May) - Question 136

The angles of a triangle are $$30^\circ, 60^\circ$$ and $$90^\circ$$. Then the sides of the triangle are in the ratio

TS ICET 2019 Shift-1 (23rd May) - Question 138

If two circles have radii 16 cm and 7 cm and the distance between their centers is 4 cm. then the number of commontangents. that can be drawn to the two circles is

TS ICET 2019 Shift-1 (23rd May) - Question 139

If G is the centroid of the triangle $$\triangle ABC$$ with vertices A(-2, 3), B(-7. 5) and C(3, -5) then the area of $$\triangle GAB$$ (in sq. units) is

TS ICET 2019 Shift-1 (23rd May) - Question 141

The mean of the squares of the first n natural numbers is

TS ICET 2019 Shift-1 (23rd May) - Question 144

If the standard deviation of 5, 7, 9, .... 151 is $$\sigma$$, then the standard deviation of 32, 44, 56. .... 908 is

TS ICET 2019 Shift-1 (23rd May) - Question 146

If the sum of the squares of deviations of ranks of two students in five subjects is 16, then the coefficient of rank correlation is

TS ICET 2019 Shift-1 (23rd May) - Question 147

A fair coin is tossed repeatedly. If tail appears on first four tosses, then the probability of head appearing onfifth toss is

TS ICET 2019 Shift-1 (23rd May) - Question 148

If a number is selected at random out of the first 120 natural numbers, then the probability that it is divisible by 5 or 8 is

TS ICET 2019 Shift-1 (23rd May) - Question 150

If A and B are two events in a random experiment with $$P(A) = \frac{3}{8}, P(B) = \frac{5}{8}$$ and $$P(A \cap B) = \frac{1}{4}$$, then $$P(A \cup B) =$$

Fill in the blank choosing the correct word:

Choose the correct answer:

TS ICET 2019 Shift-1 (23rd May) - Question 166

Whichof the following describes the nature of management?

TS ICET 2019 Shift-1 (23rd May) - Question 171

A: “He’s hoping to set up a travel business on his own.”
B: “Yes. but the likely cost of it all will put himoff’.
‘B’ is

TS ICET 2019 Shift-1 (23rd May) - Question 172

A: “Why don’t you do the cooking today?”
B: “As far as cooking is concerned. I am a square peg in a round hole.”
‘B’ implies that he is

TS ICET 2019 Shift-1 (23rd May) - Question 174

The passive form of the sentence. ‘Someone might have already dispatched the letters’ is

Fill in the blanks with the appropriate phase/verbs/ preposition:

Readthe following passage and answer questions:
Unconsciously, managers without leadership qualities will often seek, above all else. to be liked. Rather than holding people accountable. they let them off the hook. They give non-performers the uneasy feeling that everything’s fine. They are managers who seek approval rather than respect. But this habit has a severe consequence.It leads to a lack of trust in the work place. the most common“issue” on employee surveys. A true leader does not focus first on trying to be liked. A true leader focuses on the practices and communications that lead to being respected. A true leader does not try to become everybody’s big buddy. although he or she values being upbeat and cheerful in communication. A true leaderis not overly concerned with always being liked and is even willing to engage in very uncomfortable conversations in the name of being straight and thorough. A true leader does not try to downplayresponsibility for leadership.

TS ICET 2019 Shift-1 (23rd May) - Question 188

Whatis the most common‘issue’ on employee surveys?

TS ICET 2019 Shift-1 (23rd May) - Question 189

“A true leader does not try to become everybody’s big buddy....”” Explain

Readt he following passage and answer questions.
You are poised at a crucial juncture of your life. when many paths are open to you. You are like a princess who has but to command and your desires are fulfilled. Still it would be prudent to remember that the saying “All that glitters is not gold”, was never truer than it is today. In this age of virtual reality all that your senses perceive will more often than not be anillusion. There are many rainbows that the world will display to entice you: make sure that what you chase will bear closer scrutiny: remember also that you win some and lose some. and above all never forget that hard work will always pay you in the long run-even if Lady Luck does not smile at you at first.
The glamour displayed in the media coupled with the success of some of your friends and acquaintances in beauty contests, modeling, acting and so on must be awfully tempting to emulate. You would do well, however, to peer behind the scenes and decide whether the world of cut-throat competition that exists behind the facade is something you can take in yours tride. Spare a thought for the thousands who were possibly more beautiful, more gifted. more graceful but lost to anonymity having staked andlost all in the viciousrat race.

TS ICET 2019 Shift-1 (23rd May) - Question 193

What does happen even if Lady Luck does not smile on yourface first?

TS ICET 2019 Shift-1 (23rd May) - Question 194

What does the success of some of your friends in beauty contests mean to you?

TS ICET 2019 Shift-1 (23rd May) - Question 195

What must one keep in mind before deciding to enter into beauty contests, modeling, acting and so on?

Read the following passage and answer questions

The Japan Society’s crash course on howto bridge the chasm between Japanese and American managers forces participants to examine their own cultural assumptions, as well as to learn about the other side. Behaviors which Americans consider trustworthy are often precisely that which Japanese associate with shifty character and vice versa.
To Americans, people who pause before replying to a question are probably dissembling. They expect a trustworthy person to respond directly. The Japanese distrust such fluency. They are impressed by somebody who gives careful thought to a question before making a reply. Most Japanese are comfortable with periods of silence. Americans find silence awkward and like to plug only conversational gaps.

The cherished American characteristics of frankness and openness are also misunderstood. The Japanese think it is sensible as well as polite for a person to be discreet until he is sure that a business acquamtance will keep sensitive information confidential. An American who boasts, “I am my own man” can expect to find his Japanese’s hosts anxiously counting chopsticks after business lunch. As the Japanese see it. individuals are anti-social. Team players are sound.

TS ICET 2019 Shift-1 (23rd May) - Question 196

The Japan Society’s crash course does not include one of the following

TS ICET 2019 Shift-1 (23rd May) - Question 197

If someone pauses before replying to a question, Americans think she/he is probably

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