AP ICET 2018 Question Paper Shift-2 (2nd May)

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In the following questions each question is followed bydata in the form of two statements labeled as I and II. You must decide whether the data given in the statements are sufficient to answer the questions. Using the data make an appropriate choice from (a) to (d) as per the following guidelines:

AP ICET 2018 Shift-2 (2nd May) - Question 1

Is the positive integer n odd?
I. 2n is even.
II. n(n + 1) = 6

AP ICET 2018 Shift-2 (2nd May) - Question 2

Is x an integer?
I. 5x is a positive integer.
II. 10x = 1

AP ICET 2018 Shift-2 (2nd May) - Question 3

Is $$3^n > 2^k ?$$
I. k = n + 1
II. n is positive integer

AP ICET 2018 Shift-2 (2nd May) - Question 4

If x is a positive integer, is the HCF of 150 and x a prime number?
I. x is a prime number.
II. x < 4

AP ICET 2018 Shift-2 (2nd May) - Question 5

If n and m are real numbers, is n < m ?

I. $$n^2 < m^2$$

II. $$\mid m \mid < \mid n \mid$$

AP ICET 2018 Shift-2 (2nd May) - Question 6

Is the integer n divisible by 45?
I. n is a miultiple of 36
II. The units digit in n is 0

AP ICET 2018 Shift-2 (2nd May) - Question 7

Is the integer n a prime?
I. 4 > n
II. n > 1

AP ICET 2018 Shift-2 (2nd May) - Question 8

Is the positive integer n even?
I. $$n^4$$ is odd
II. $$2n^5$$ is even

AP ICET 2018 Shift-2 (2nd May) - Question 9

What is the cost of laying an outside road all around the circular field ?
I. The breadth of the road is 5 m.
II. The diameter of the field is 500m and the cost of laying the road is Rs. 40 per sq.m

AP ICET 2018 Shift-2 (2nd May) - Question 10

$$0 \leq \theta \leq 90^\circ \Rightarrow \tan \theta = ?$$

I. $$\theta$$ is an angle in a triangle.

II. $$\sin \theta = \frac{\sqrt{3}}{2}$$

AP ICET 2018 Shift-2 (2nd May) - Question 11

Is the integer p a prime number?
I. 2p has exactly 3 factors
II. p is an even number

AP ICET 2018 Shift-2 (2nd May) - Question 12

Is $$\mid 15 - m \mid + \mid m - 15 \mid > 15 ?$$
I. $$m > 6$$
II. $$m < 7$$

AP ICET 2018 Shift-2 (2nd May) - Question 13

For a positive real number x, is $$x^3 = 125?$$
I. $$x > 4$$
II. $$x < 6$$

AP ICET 2018 Shift-2 (2nd May) - Question 14

What is the area of the rectangle ABCD?
I. The circumference of the rectangle is 24 cm.
II. The sides of the rectangle are in the ratio 1 : 2

AP ICET 2018 Shift-2 (2nd May) - Question 15

What is the cost of each table?
I. 2 tables and 2 chairs cost Rs 10,000/-
II. 3 chairs and 3 tables cost Rs 15,000/-

AP ICET 2018 Shift-2 (2nd May) - Question 16

What is the two digit number xy?
I. xy is a multiple of 97
II. x + y = 6

AP ICET 2018 Shift-2 (2nd May) - Question 17

TA and TB are tangents to a circle from an external point T. Whatis the length of the chord AB?
I. Radius of the circle is 6 cm
II. AT = 8 cm

AP ICET 2018 Shift-2 (2nd May) - Question 18

What is the sum of the two integers a and b?
I. LCM of {a, b} = 576
II. HCF {a, b} = 4

AP ICET 2018 Shift-2 (2nd May) - Question 19

What is the value of $$\theta$$?

I. The matrix $$\begin{bmatrix}\tan \theta & 1 \\1 & 1 \end{bmatrix}$$

II.  $$0 < \theta < \frac{\pi}{2}$$

AP ICET 2018 Shift-2 (2nd May) - Question 20

For three non empty sets A, B and C, what is $$n(A \cup B \cup C)$$?
I. $$n(A \cup B) = 64$$
II. $$n(B \cup C) = 124$$

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

AP ICET 2018 Shift-2 (2nd May) - Question 26

$$X^2 - 2X + 1 : X^3 - 3X^2 + 3X - 1 :: X^2 - 4X + 4 : ............$$

AP ICET 2018 Shift-2 (2nd May) - Question 27

$$5 + 2\sqrt{6} : \sqrt{3} + \sqrt{2} :: 18 + 2\sqrt{77} : .............. $$

AP ICET 2018 Shift-2 (2nd May) - Question 29

$$\begin{bmatrix}7 & 2 \\-3 & 3 \end{bmatrix} : 27 :: ........ : 22$$

In the Following questions pick the odd thing out.

AP ICET 2018 Shift-2 (2nd May) - Question 33

The following questions followa definite pattern. Observe the same and fill in the blanks with suitable answers.

The following table shows the production of different types of two wheelers from 1993 to 1998. Study the table carefully and answer the Following questions.

AP ICET 2018 Shift-2 (2nd May) - Question 46

What is the maximum difference in the production of any two types of two wheelers for the years 1997 and 1998?

AP ICET 2018 Shift-2 (2nd May) - Question 47

The approximate percentage increase in the total production of all types of two wheelers in 1997 in comparison to 1995 was

The pie diagram given here shows the distributions of students in six schools A, B, C, D, E and F in a town. Answer the following questions based on it.

AP ICET 2018 Shift-2 (2nd May) - Question 51

If the difference in the number of students in B and C in anyear is 250, then the total number of students in that year all the schools in the town is

A Survey is conducted in 400 persons with regard to the readership of three national dailies E, D and T revealed the following information:

170 read E, 170 read D, 190 read T, 50 read E and D, 70 read D and T, 60 read E and T, 30 Read none and20 read all the three papers
Draw a Venndiagram for this data and answer the following questions

In a code, vowels of English alphabets are coded to $$\alpha, \beta, \gamma, \delta, \eta$$ respectively which each of the consonant is coded to the third successive consonant cyclically. following this coding process answer the following questions.

For the following questions answer them individually
AP ICET 2018 Shift-2 (2nd May) - Question 67

A clock strikes once at 1’o clock. twice at 2’o clock and so on. A person started counted from 5’o clock in the morning and heard 69 strikes, the time when he heard the last strike is

AP ICET 2018 Shift-2 (2nd May) - Question 68

The acute angle between the two hands of a clock when the time is fifteen minutes past five is

AP ICET 2018 Shift-2 (2nd May) - Question 69

A is father of B and C; E is the mother of B while D is wife of F. If F is the father of E then what is the relation between D and E

AP ICET 2018 Shift-2 (2nd May) - Question 70

Three trains A, B and C start at a station in different routes to reach their destination 90kms, 70kms and 85kms away respectively. If they start at 10 a.m and moveat respective speeds 45kms, 40kms and 35kms per hour. then the order in which they reach their respective
destinations is

AP ICET 2018 Shift-2 (2nd May) - Question 71

Anita left home for the bus stop 20 minutes late than usual. It takes 15 minutes to reach the bus stop. If she reached the bus stop at 8.30 am. at what time does she usually leave home for the busstop.

AP ICET 2018 Shift-2 (2nd May) - Question 72

Five persons A, B, C, D and E sit around a table such that A is diagonally opposite to E; C and D are oneitherside of A. If there is only one person D to the right A, the anti clockwise order in which they sits is

AP ICET 2018 Shift-2 (2nd May) - Question 73

If $$x \triangle y = (x - 2y) + 2xy$$, then a zero value of x such that $$x \triangle x = 0$$is 

AP ICET 2018 Shift-2 (2nd May) - Question 74

Consider the string of letters given below:
BCDEOEOONQRSOVOVOOBKBOBOO
How many letters are immediately preceded by two O’s and immediately followed by no O’s

AP ICET 2018 Shift-2 (2nd May) - Question 75

If $$\alpha$$ means $$(  )$$

$$\beta$$ means $$\div$$

$$\gamma$$ means $$+$$

$$\delta$$ means $$-$$

$$\wedge$$ means $$X$$

then find the value of $$2 \wedge 3 \gamma 4 \delta 8 \beta 2 \gamma 4 \wedge 3$$

AP ICET 2018 Shift-2 (2nd May) - Question 77

For $$a \neq 0$$, $$\left(\frac{1}{1 + a^2 + a^{-2}} + \frac{1}{1 + a^{-2} + a^{-4}}\right)^{-1} - 1 =$$

AP ICET 2018 Shift-2 (2nd May) - Question 79

In an alloy of 35 kgs the ratio of two metals A and B is 4 : 1. If 1 kg of metal B is added then the ratio of A and B in the new allow is

AP ICET 2018 Shift-2 (2nd May) - Question 81

If $$x = 2 + \sqrt{3}, xy = 1$$, then $$\frac{x}{\sqrt{2} + \sqrt{x}} + \frac{y}{\sqrt{2} - \sqrt{y}} =$$

AP ICET 2018 Shift-2 (2nd May) - Question 85

The sum of the greatest common divisor (GCD) andthe least common multiple (LCM) is 403 and their LCMis 12 times their GCD. If one of those numbers is 124, then the other number is

AP ICET 2018 Shift-2 (2nd May) - Question 88

If $$a_1, a_2, a_3$$ and $$a_4$$ is the decreasing order of the elements in $$\left\{\frac{2}{7}, \frac{7}{15}, \frac{5}{8}, \frac{9}{23}\right\}$$ then $$a_1 - a_4 =$$

AP ICET 2018 Shift-2 (2nd May) - Question 93

The cost price of anarticle is Rs 800/-. Its marked price is Rs 1000/-. The shopkeeper has announced a discount because of which he incurs a loss of 10%. The discount percentage is

AP ICET 2018 Shift-2 (2nd May) - Question 94

P, Q, R are partners in a business. P invested half as much as Q and Q invested twice as much as R. If R’s investment is Rs. 5630, then the investment (in Rupees) of P and Q together is

AP ICET 2018 Shift-2 (2nd May) - Question 95

In a property A, B and C have shares in the ratio 5:6:11. If C gets Rs 3 lakhs more than A then 50% of the share of B (in lakhs of rupees) is

AP ICET 2018 Shift-2 (2nd May) - Question 96

Two pipes P and Q can separately fill a cistern in 20 and 30 minutes respectively. There is another exhaust pipe R at the bottom of the cistern. If all the three pipes are opened at the same time, the cistern will be full in 24 minutes. The time (in minutes) for the pipe R to
empty the full cistern is

AP ICET 2018 Shift-2 (2nd May) - Question 97

Two taps A and B can fill a tank independently in 10 and 15 minutes respectively while C empties the full tank in 20 minutes. If all the three are opened for 1 minute and C is closed then extra time (in minutes) to get the tank filled is

AP ICET 2018 Shift-2 (2nd May) - Question 99

A person travels from P to Q at a speed of 60 kmph and returns at a speed of 45 kmph If total time taken is $$3\frac{1}{2}$$ hours then the distance (in kms) between P and Q is

AP ICET 2018 Shift-2 (2nd May) - Question 100

P and Q can do a work individually in 50 and 40 days respectively. They together agreed to complete that work for Rs. 900. Then the share of P ( in rupees) in this amount is

AP ICET 2018 Shift-2 (2nd May) - Question 101

A and B can do a piece of work in 20 days.The same work can be done by B and C in 30 days; C and A in 40 days. If A works alone the numberof days required to complete the work is

AP ICET 2018 Shift-2 (2nd May) - Question 103

The area of the pentagon ABCDE, given that $$AB = BC = CD = AE = 2, DE = 2\sqrt{2}$$ and $$\angle BAE = \angle BCD = 90^\circ$$ is 

AP ICET 2018 Shift-2 (2nd May) - Question 104

A hallow iron pipe of 63 cms length having outer circumference of 440 cmis of thickness 4 cms. The volume(in cubic cms) of the iron used is ( Here take $$\pi = \frac{22}{7}$$)

AP ICET 2018 Shift-2 (2nd May) - Question 105

The surface area of a hemisphere is 16632 sq.cm. Then its volume (in cubic centimeters) is ( Here take $$\pi = \frac{22}{7}$$)

AP ICET 2018 Shift-2 (2nd May) - Question 108

If the radius of a circular wheel is 14 cm. then the number of revolutions necessary to cover a distance of 105.6 meters is ( Here take $$\pi = \frac{22}{7}$$)

AP ICET 2018 Shift-2 (2nd May) - Question 111

The inverse of $$(p \wedge \sim q) \rightarrow r$$ is

AP ICET 2018 Shift-2 (2nd May) - Question 113

For any set S let n(S) denote the number of elements in S. If A, B and C are sets such that
$$n(A \cup B \cup C) = 31, n(A) = 20, n(b) = 16, n(C) = 8, n(A \cap B \cap C') = 3, n(A' \cap B \cap C) = 2$$ and $$n(A \cap B' \cap C) = 4$$ then $$n(A \cap B \cap C) =$$

AP ICET 2018 Shift-2 (2nd May) - Question 114

If $$P(A)$$ is the power set of the non-empty set $$A$$, define a relation $$R$$ by $$XRY$$ if and only if $$X \subseteq Y$$ for $$X,Y \epsilon P(A)$$, the relation R is not

AP ICET 2018 Shift-2 (2nd May) - Question 117

The equation of the perpendicular bisector of the line segment joining the points (-2, 3) and (1, -2) is

AP ICET 2018 Shift-2 (2nd May) - Question 119

For $$\alpha$$ and $$\beta$$ with $$0 \leq \alpha, \beta < \frac{\pi}{2}$$ if $$\cos \alpha = \sin \beta = \frac{1}{2}$$ then $$\alpha + 2\beta = $$

AP ICET 2018 Shift-2 (2nd May) - Question 121

Fromthe top of a building of height 60 feet which is on the bank of a river, the angle of depression of a house onthe other side of the river is observed to be $$60^\circ$$. The widthofthe river (in feet) is

AP ICET 2018 Shift-2 (2nd May) - Question 122

If $$x - \alpha, x - \beta$$ and $$x - \gamma$$ are factors of the polynomial $$3x^3 + 4x^2 + 2x + 5$$ then the polynomial having factors $$x - \frac{1}{\alpha}, x - \frac{1}{\beta}$$ and $$x - \frac{1}{\gamma}$$ is

AP ICET 2018 Shift-2 (2nd May) - Question 126

Two numbers are in the ratio 5:6 and when 3 is added to each of them. their ratio becomes 7:8. Then the sum of those two numbers is

AP ICET 2018 Shift-2 (2nd May) - Question 128

If $$S_1, S_2$$ and $$S_3$$ denote the sums of the first n, 2n and 3n terms respectively of an arithmetic progression then $$\frac{S_3}{S_2 - S_1} =$$

AP ICET 2018 Shift-2 (2nd May) - Question 129

If S is the sum of five consecutive even integers then the least among them is

AP ICET 2018 Shift-2 (2nd May) - Question 130

The coefficient of $$x^{n - 1}$$ in $$(x - 1)(x - 2)(x - 3) ................. (x - n)$$ is

AP ICET 2018 Shift-2 (2nd May) - Question 131

The term independent of x in the binomial expansion of $$\left(\frac{3x^2}{2} - \frac{1}{3x}\right)^9$$ is

AP ICET 2018 Shift-2 (2nd May) - Question 137

In the quadrilateral ABCD, it is given that AB = 40, BC = 250, CD = 50, 2BAD = ZABC = $$90^\circ$$ and AD is parallel to BC. The perimeter of the quadrilateral ABCD is

AP ICET 2018 Shift-2 (2nd May) - Question 138

A, B and C are three points on the circle with centre O. In $$\triangle$$ABC if $$\angle$$B = $$60^\circ$$, $$\angle$$C = $$70^\circ$$ then $$\angle$$BOC =

AP ICET 2018 Shift-2 (2nd May) - Question 139

The length of the median through A of $$\triangle$$ABC where A(4, 2), B(6, 5) and C(1, 4) is

AP ICET 2018 Shift-2 (2nd May) - Question 142

In 12 consecutive odd numbers the arithmetic mean of the first five numbers is 85. The difference of the medians ofthe first five numbers and the last five numbers is

AP ICET 2018 Shift-2 (2nd May) - Question 144

If $$\sigma$$ is the standard deviation of $$x_1, x_2, ... ... x_n$$ then the standard deviation of $$9 + 3x_1, 9 + 3x_2, ..... ..... 9 + 3x_n$$ is

AP ICET 2018 Shift-2 (2nd May) - Question 147

A box contains nine tickets numbered 1 to 9. If 3 tickets are drawn from the box one at a time, the probability that they are alternatively either odd. even. odd or even. odd, even is

AP ICET 2018 Shift-2 (2nd May) - Question 148

A number is chosen at random from the first 100 natural numbers. The probability that the chosen number is divisible by 7 is

AP ICET 2018 Shift-2 (2nd May) - Question 149

If A and B are independent events such that $$P(A \cap B) = \frac{3}{25}, P(B) = \frac{11}{25}$$ then $$P(\overline{A}) = $$

Choose the correct meaning of the word given:

Fill in the blank choosing the correct word:

Choose the correct answer:

AP ICET 2018 Shift-2 (2nd May) - Question 166

Comparing one’s products /services to those of competitors in order to improve quality and performance is called ..........

AP ICET 2018 Shift-2 (2nd May) - Question 168

In the sale or supply of goods or services, something that is ready for immediate use is called ................

AP ICET 2018 Shift-2 (2nd May) - Question 170

A person who buys shares in companies hoping the price will rise, so that they can be sold later at a profit is ................

AP ICET 2018 Shift-2 (2nd May) - Question 171

“Had he not been a dreamer. he would not have gonethis far”. The statement implies that ...............

AP ICET 2018 Shift-2 (2nd May) - Question 174

We thought Sindhu would lose the match but she scraped through in the final set. The underlined phrase means that she ............

AP ICET 2018 Shift-2 (2nd May) - Question 175

He asked me, “Have you seen that film?” The sentence may be rewritten in indirect speech as: He asked me ............

Fill in the blanks with the appropriate phrase/verb/preposition:

AP ICET 2018 Shift-2 (2nd May) - Question 185

His apology took the edge off her anger. The underlined phrase means that his apology .................

Read the passage below and answerthe following questions.

Mascowis the world’s most expensive city for expatriates followed by Tokyo whichalso is Asia’s most expensivecity.

The cost of Living Survey 2008 has shown Mumbai and NewDelhi taking the bottom two spots of Asia’s ten most expensive cities. Mumbai is on 48th spot in the world wide list and NewDelhi is on 55th spot. New Delhi incidentally shares its 55th spot on the list with Los Angeles.

The survey covers 143 cities across six continents and measures the comparative cost of over 200 items in each location including housing, transport, food, clothing, household goods and entertainment.

It is the world’s most comprehensive cost of living survey and is used to help multinational companies and governments determine compensation allowances for their expatriate employees.

AP ICET 2018 Shift-2 (2nd May) - Question 190

Whom does the survey help the most?

Read the passage below and answer the following questions

Stories have survived for centuries in the formof folklore because man never tired of hearing themrepeated. Childrenstill delight in stories told to them by their elders, and it may well be that a primary motive for learning to read is the insatiable desire of a child for more stories than his parents or grandparents can supply. Narration, as a mode of discourse, arises from the universal desire of humanbeings to hear a story, whetherit is new or old. The media of mass communication — television, radio, moving pictures — have vastly multiplied the means of satisfying this desire, but have added little to the art of narration itself.

Good narration depends upon sequence, unity and point. The imagined sequence must be chronological, for narrative must present actions in time. The written sequence, however, does not have to be in the same orderas the imagined sequence — often, infact , a story maystart in the middle, “flash back” to earlier related events, and then conclude with later events that give a sense of resolution there is a sense of past, present and future to keep the action going,to give the readerthat feeling of pace which1s so vital in keeping his interest alive.

AP ICET 2018 Shift-2 (2nd May) - Question 191

What is the main reasonfora child to learn reading?

AP ICET 2018 Shift-2 (2nd May) - Question 193

Which statement is true according to the author?

Read the passage below and answerthe following questions.

Manis the Reasoning Animal. Such is the claim. I think it is open to dispute. Indeed, my experiments have proven to me that he is the Unreasoning Animal. In truth, manis incurably foolish. Simple things whichother animals easily learn, he is incapable of learning. Among my experiments was this. In an hourI thought themto be friends with a rabbit. In the course of two days I wasable to add a fox, a goose, a squirrel and some doves and finally a monkey. They lived together in peace, even affectionately.

Next, in another cage I confined an Irish Catholic from Tipperary, and as soon as he seemed tame I added a Scotch Presbyterian from Aberdeen. Next a Turk fromthe wilds of Arkansas: a Buddhist from China: a Brahman from Benares. Finally, a Salvation Army Colonel from Wapping. Then I stayed away for two days. When I came back to note results, the cage of Higher Animals wasall right, but in the other there was but a chaos of
gory odds and ends of turbans and plaids and bones and flesh-not a specimenleft alive. These Reasoning Animals had disagreed ona theological detail and carried the matter to a Highercourt.

AP ICET 2018 Shift-2 (2nd May) - Question 199

What did the writer find when he went for noting the results?

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