AP ICET 2016 Question Paper (16th May)

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Following questions, a question is followed by data in the form of two statements labelled 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 2016 (16th May) - Question 1

What is the positive integer “a” that is not exceeding 1500?
I. 19 is a factor of ‘a’.
II. 29 divides ‘a’.

AP ICET 2016 (16th May) - Question 2

If x and y are positive integers, is x greater than y?
I. 20 < x
II. y > 17

AP ICET 2016 (16th May) - Question 3

Is x > y?
I. 3x + 2y = 11
II. x - y = 2

AP ICET 2016 (16th May) - Question 4

Is the product xy positive?
I. $$(x + y)^2 < (x - y)^2$$
II. x = y

AP ICET 2016 (16th May) - Question 5

If x, y, z are positive integers, is x + y + z divisible by 7?
I. x + y + z is an even number.
II. x = 4y - 11, z = 2y + 4

AP ICET 2016 (16th May) - Question 6

If the product of two positive integers m and n is 132, then whatis the value of m + n?
I. m > n
II. $$\mid m - n \mid = 1$$

AP ICET 2016 (16th May) - Question 7

What is the length of the side BC in the triangle ABC?
I. AB = 8cm, AC = 5cm
II. Area of the triangle ABC is 10 cm$$^2$$.

AP ICET 2016 (16th May) - Question 8

What is the value of $$\cos \theta + \sin \theta$$?

I. $$\sec \theta + \cosec \theta = 5$$

II. $$\sin 2\theta = \frac{1}{2}$$

AP ICET 2016 (16th May) - Question 9

Is the positive integer n divisible by 225?
I. 75 is a factor of n.
II. 45 is a factor of n.

AP ICET 2016 (16th May) - Question 10

What percent of marks did Ram get in 4 subjects, on average?
I. He got 92 in Physics and 85 in English.
II. He got 96 in Mathematics and 94 in Chemistry.

AP ICET 2016 (16th May) - Question 11

How old is Raghu today?
I. Today is his birthday.
II. One year after, he will be twice as old as 10 years ago.

AP ICET 2016 (16th May) - Question 12

How much is the loss?
I. The cost price is ₹ 300.
II. The loss is 25% of the selling price.

AP ICET 2016 (16th May) - Question 13

If a is the average of the numbers 1, 2, 3 and x, what is the value of x?
I. x is an integer.
II. $$x = \frac{1}{2}(6a - x)$$

AP ICET 2016 (16th May) - Question 14

If p% of x is 3, then what is p% of y?
I. p = 25, x = 12
II. p = 60, y = 50

AP ICET 2016 (16th May) - Question 15

A and B'start a business jointly. Whatis A’s share out of an annualprofit of ₹ 23,800?
I. A's investment is ₹ 1,20,000.
II. B's investment is $$12\frac{1}{2}\%$$ more than A’s investment.

AP ICET 2016 (16th May) - Question 16

If m is an integer and 10 < m < 100, then what is m?
I. One digit of m is 3 times the other.
II. Sum of the digits in m is 8.

AP ICET 2016 (16th May) - Question 17

If x is a positive integer, is the G.C.D. of 300 and x a prime number?
I. x is a prime number.
II. 5 < x

AP ICET 2016 (16th May) - Question 18

If a and b are two distinct two digit numbers that share the same digits, what is the value of a + b?
I. The difference between the two digits in each number is 7.
II. $$\mid a - b \mid = 63$$

AP ICET 2016 (16th May) - Question 19

Is AB parallel to x-axis?
I. $$OA = \sqrt{11}$$
II. B = (2, 3)

AP ICET 2016 (16th May) - Question 20

Is the non-negative integer n odd?
I. $$(36)^n$$ is odd.
II. $$(63)^n$$ is odd.

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

AP ICET 2016 (16th May) - Question 30

$$\frac{N}{W} : \frac{41}{32} :: \frac{X}{L} : ........$$

In the following questions pick the odd thing out :

In a Hostel with 500 students, 238 read Newspaper A, 217 read Newspaper B, 206 read Newspaper C, 90 read Papers A and B, 70 read Papers B and C, 83 read Papers C and A, 27 read all the three Newspapers A, B and C. Based on this information, answer the following questions.

The table given below shows the production of four types of Cars A, B, C and D in the years 2010 to 2015. Based on the information given in the table answer questions

AP ICET 2016 (16th May) - Question 51

In the year 2013, which type of car had registered the highest percent of increase in production over its previous year?

AP ICET 2016 (16th May) - Question 52

In which year, did car of type B register the highest percent of growth in production over its previous year?

AP ICET 2016 (16th May) - Question 53

In the year 2014, what was the percentage growth ofall types of cars put together over its previous year, correct to two decimals?

AP ICET 2016 (16th May) - Question 55

The growth percent of the D type cars in the year 2013 over the year 2010, correct to two decimals, is

The letters of the English alphabet are arranged around circle in clock-wise direction and are coded as follows :
A Vowel is coded as the next Vowelin the clockwise direction. A Consonant is coded as the next Consonantin the anti-clockwise direction.
For decoding, the reverse process is adopted. Using this coding and decoding process, answer the following questions

The letters of the English alphabet are coded as follows:
For $$1 \leq n \leq 26$$, the $$n^{th}$$ letter is coded as the $$r^{th}$$ letter where r is the remainder obtained when 7n + 5 is divided by $$26 (1 \leq r \leq 26)$$. For decoding the reverse process is followed. Using this coding and decoding process, answer the questions.

For the following questions answer them individually
AP ICET 2016 (16th May) - Question 66

Five bags A, B, C, D and E are piled one abovethe other. If A is above B, C is above D but below E, and D is above A, then which bagis in the middle?

AP ICET 2016 (16th May) - Question 67

The angle between the minutes hand and the seconds hand when it is 3 hr. 26 min. 25 sec. in a clock is

AP ICET 2016 (16th May) - Question 70

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

AP ICET 2016 (16th May) - Question 71

P and Q decided to meet at a venue at the scheduled time. After his arrival at 5.15 PM, P found that he came 50 minutes earlier than Q, who came 35 minutes late to the meeting. What is the scheduled time of the meeting?

AP ICET 2016 (16th May) - Question 72

If $$a * b = \frac{a^2 + b^2}{ab}$$, then $$(1 * 2) * 3 =$$

AP ICET 2016 (16th May) - Question 73

If D denotes division, M denotes multiplication, A denotes addition, and S denotes subtraction, then 4A3S12M16D4 =

AP ICET 2016 (16th May) - Question 74

$$1 + \frac{1}{5} + \frac{1}{25} + \frac{1}{125} + \frac{1}{625} + ..... \infty =$$

AP ICET 2016 (16th May) - Question 75

$$\left\{m \epsilon Z : \mid 2 - m \mid < 4\right\} =$$

AP ICET 2016 (16th May) - Question 76

If x(≠0) $$\epsilon R$$, then $$\frac{1}{1 + x + x^2} + \frac{1}{1 + x + x^{-1}} + \frac{1}{1 + x^{-1} + x^{-2}} =$$

AP ICET 2016 (16th May) - Question 78

If $$a + b + c = 0$$, then $$\frac{1}{x^a + x^{-b} + 1} + \frac{1}{x^b + x^{-c} + 1} + \frac{1}{x^c + x^{-a} + 1} =$$

AP ICET 2016 (16th May) - Question 80

If $$\frac{2 + \sqrt{3}}{2 - \sqrt{3}} + \frac{2 - \sqrt{3}}{2 + \sqrt{3}} + \frac{\sqrt{3} - 1}{\sqrt{3} + 1} = a + b \sqrt{3}$$, then $$a + 4b =$$

AP ICET 2016 (16th May) - Question 81

$$\sqrt{30 - 12\sqrt{6}} =$$

AP ICET 2016 (16th May) - Question 86

If $$a = \frac{\sqrt{5} + 1}{\sqrt{5} - 1}$$ and $$b = \frac{\sqrt{5} - 1}{\sqrt{5} + 1}$$, then the value of $$a^2 + ab + b^2$$ is

AP ICET 2016 (16th May) - Question 89

The descending order of the numbers $$5\sqrt{6}, 10\sqrt{3}, 7\sqrt{5}, 6\sqrt{7}$$ is

AP ICET 2016 (16th May) - Question 90

Out of a total of 750 students each student studies at least one of the two subjects, Physics and Mathematics. If 40% of them study Mathematics and 70% study Physics, then the number of students who study both is

AP ICET 2016 (16th May) - Question 92

What percent on the cost price of an article should a business man mark onhis article so that he allows a discount of 30% on it and minimizes his loss to 2%?

AP ICET 2016 (16th May) - Question 93

The selling price of an article is ₹ 75. If the profit percent is equal to its cost price, then the cost price ofthat article (in ₹) is

AP ICET 2016 (16th May) - Question 94

Two persons P and Q enter into a business with the investments ₹ 90,000 and 1,25,000 respectively. After 9 months Q withdraws his money from the business. If ₹ 32,340 is the profit at the end of the year, then the share ofP (in ₹) is

AP ICET 2016 (16th May) - Question 95

Three persons A, B and start a business with the investments in the ratio 3 : 4 : 5. After 3 months B invests an additional amount of 1/4th of his capital and C withdrew 1/5th of his capital. Ifthe annual profit in the business is ₹ 2,40,000, then B’s share in the profit (in 2) is

AP ICET 2016 (16th May) - Question 97

Two water pipes A and B can fill an empty tank in 8 and 12 hrs. respectively and tap at, the bottom of the tank can empty the full tank in 9 hrs. If tap C is opened two hours after the pipes A and B are opened, then the total time (in hrs.) taken to fill the tank is

AP ICET 2016 (16th May) - Question 98

A pumpcan fill an empty tank in 3 hours. Because of a leakage at the bottom ofthe tank, it took half an hour extra time. The time taken (in hours) to drain all the water from the full tank by the leakage is

AP ICET 2016 (16th May) - Question 99

Three persons A, B and C together complete a work in 3 days; B and C together complete the work in 6 days; and A and C together complete the same work in $$4\frac{1}{2}$$ days. Then the number of days in which C alone can complete the work is

AP ICET 2016 (16th May) - Question 100

A person A can turnout thrice as much work as B can do. B alone can complete that work in 20 days. After both of them worked together for 4 days, A left the work and B continued till the end. Then the time (in days) taken by B to complete the remaining work after A left the job, is

AP ICET 2016 (16th May) - Question 101

A person A having completed 60% of the work in 15 days, calls another person B and they together finish the remaining work in 5 days. Then how many days B alone would have taken to do the whole work?

AP ICET 2016 (16th May) - Question 102

A train crosses an electric pole in 15 seconds, and a platform of length 100 metres in 25 seconds. Then the length ofthe train (in metres) is

AP ICET 2016 (16th May) - Question 103

A train travels at an average speed of 70 kmph and covers a distance of 140 km. The train travels the first 80 km at a speed of 60 kmph. Then the speed (in kmph) during the next 60 km is

AP ICET 2016 (16th May) - Question 104

A sector area ofa circle of radius 14 om is $$\frac{154}{3} cm^2$$. Then the angle of the sector (in radious) is

AP ICET 2016 (16th May) - Question 105

If the measures of the angles of a triangle are in the ratio 1 : 2 : 3 and if the length of the smallest side of the triangle is 10 cm, then the length of the fa side (in cm) is

AP ICET 2016 (16th May) - Question 106

A cylindrical container of radius 6 cm and height 15 cm is filled with ice-cream. The entire ice-cream is divided equally among 10 children in the shape of cones surmounted by hemispherical tops. If the height of the conical ice-cream bow! is twice the diameter of its base, then the base radius of the cone is

AP ICET 2016 (16th May) - Question 107

A circus tent is in the form of a cylinder surmounted by a cone. The radius of the base of the cylinder is 30 feet and its height is 10 feet. If the total height of the tent is 20 feet, then the volume of the air (in cubic feet) in the tent is

AP ICET 2016 (16th May) - Question 109

A three digit number 4a3 is added to another three digit number 984 to give the four digit number 13b7 which is divisible by 11. Then $$(a + b)^2 = $$

AP ICET 2016 (16th May) - Question 110

If $$x = \sqrt{5 + \sqrt{5 + \sqrt{5 + ......}}}$$, then which of the following is true?

AP ICET 2016 (16th May) - Question 112

The statement $$p \rightarrow (q \rightarrow r)$$ is equivalent to

AP ICET 2016 (16th May) - Question 114

If A is a set such that n(A) = 5, then the number of symmetric relations that can be defined on A is

AP ICET 2016 (16th May) - Question 115

The function $$f : R \rightarrow R$$ defined by $$f(x) = 3x^2 + 5$$, for all $$x \epsilon R$$, is

AP ICET 2016 (16th May) - Question 116

If A. B are two sets such that n(A) = 5, n(B) = 6, then the number of surjections that can be defined from A to B is

AP ICET 2016 (16th May) - Question 117

The equation of the straight line passing through the point (7, -5) with slope $$\frac{-4}{5}$$ is

AP ICET 2016 (16th May) - Question 118

If a line makes intercepts 5, 12 on X, Y axes respectively, then the length of the perpendicular drawn from the origin to the line is

AP ICET 2016 (16th May) - Question 122

If $$0 < \theta < \frac{\pi}{2}$$ and $$\tan \theta + \sec \theta = 3$$, then $$\sin \theta =$$

AP ICET 2016 (16th May) - Question 123

The angles of elevation of the top of a building measured from two points A, B on the horizontal ground and on the sameside of the building are respectively $$30^\circ, 60^\circ$$. If A, B and the foot of the building are collinear and AB = 400 metres, then the height of that building, in metres, is

AP ICET 2016 (16th May) - Question 124

When the polynomial $$7x^3 - 3x^2 + ax - 5$$ is divided by $$x + 3$$, the remainder is -13. Then a =

AP ICET 2016 (16th May) - Question 125

The relation R is defined on the set of all real numbers by R = {(a, b) $$\in$$ R $$\times$$ R/a - b is an integer}. Then R is

AP ICET 2016 (16th May) - Question 128

In an arithmetic progression the ratio of $$15^{th}$$ term to $$7^{th}$$ term is 11 : 9. Then the ratio of $$12^{th}$$ term to $$8^{th}$$ term is

AP ICET 2016 (16th May) - Question 129

The value of the term independent of x in the expansion of $$\left(3x - \frac{4}{x^2} \right)^9$$ is

AP ICET 2016 (16th May) - Question 130

If $$C_r = ^{10}C_r$$, then the value of $$C_0 + 3.C_1 + 5.C_2 + ..... + 21.C_{10} =$$

AP ICET 2016 (16th May) - Question 133

If $$A = (a_{ij})$$ is a $$3 \times 3$$ matrix and $$a_{ij} = 4i + 7j$$ for $$1 \leq i, j \leq 3$$, then trace of 3A =

AP ICET 2016 (16th May) - Question 136

If $$x = \sin \theta + \theta \cos \theta$$ and $$y = \cos \theta + \theta \sin \theta$$, then $$\frac{dy}{dx}$$ at $$\theta = \frac{\pi}{2}$$ is

AP ICET 2016 (16th May) - Question 137

A, B are end points of the longest chord of a circle of radius 3 units. If O is the centre of the circle and C is a point on the circle such that AC = AO,then the perimeter of the triangle ABC is

AP ICET 2016 (16th May) - Question 140

If (0, 0), (0, 4), (3, 0) are vertices of a triangle, then the distance between the circumcentre and the orthocentre of the triangle is

AP ICET 2016 (16th May) - Question 145

If the standard deviation of 7, 10, 13, 16, ...., 121 is $$\sigma$$, then the standard deviation of 50, 71, 92, 113, ...., 848 is

AP ICET 2016 (16th May) - Question 146

If 7 coins are tossed at random, then the probability that even number of heads appear is

AP ICET 2016 (16th May) - Question 147

If two fair dice are thrown at random, then the probability that the sum of the digits on their faces is a prime number is

AP ICET 2016 (16th May) - Question 148

The probability that A can solve a problem is $$\frac{7}{12}$$ and for B it is $$\frac{9}{17}$$. If both If both of them try independently, then the probability that the problem is solved is

AP ICET 2016 (16th May) - Question 149

If the letters of the word WISDOM are permuted at random, then the probability that the vowels do not cometogether is

AP ICET 2016 (16th May) - Question 150

If a number is chosen at random from the first 58 natural numbers, then the probability that the number chosen is a prime number is

Choose the correct meaning of the word given :

Fill in the blank choosing the correct word :

AP ICET 2016 (16th May) - Question 162

Intellectual capital implies

AP ICET 2016 (16th May) - Question 167

The reversible transformation of data from the plain text to ciphertext is ..............

AP ICET 2016 (16th May) - Question 168

A string of zeroes and ones used for authenticating sender of a document in computer communication is called

Choose the correct answer:

AP ICET 2016 (16th May) - Question 171

The passive form of the sentence “He wrote a letter to his friend” is

AP ICET 2016 (16th May) - Question 172

The grammatically correct sentence among the followingis :

AP ICET 2016 (16th May) - Question 174

A: Why are you thinking of closing the factory?
B: It’s because of my investment having gone down the drain.
B implies

AP ICET 2016 (16th May) - Question 176

A: Iam late to the practice. Can I go now and say sorry to the coach?
B: Let’s not try to meet her now. She’s in a temper.
The coach is

AP ICET 2016 (16th May) - Question 177

I always take her advice with a pinch of salt.
The speaker implies that

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

Read the following passage and answer questions:

What will man be like in the future-in 5000 or even 50,000 years from now? We can only make a guess, of course, but we can be sure that he will be different from what he is today. For man is slowly changing all the time.

Man, even five hundred years ago, was shorter than he is today. Now, on an average, men are about three inchestaller. Five hundred years is a relatively longer period of time, so we may assume that man will continue to grow taller.

Again, in the modem world we use our brains a great deal. Even so, westill use only 20% of its capacity. Gradually we shall have to use our brains more and eventually we shall need larger ones! This is likely to makethe head, particularly the forehead, to grow larger.

Now-a-days we use our eyes so much that very often they become weaker and we have to wear glasses. But in future man’s eyes will grow stronger. Since we tend to makeless use of our armsand legs, they are likely to grow weaker. However, fingers will grow more sensitive because of constant use. Hair will probably disappear from the body altogether in course of time as it does not serve any useful purpose. In the future then, both the sexes are likely to be bald.

All the same,inspite ofall these changes, future man will still have a lot in common with us. He will still be a human being, with thoughts and emotions similar to our own.

AP ICET 2016 (16th May) - Question 187

The reason for believing that future man will be differentis that he

AP ICET 2016 (16th May) - Question 188

The larger forehead will be a consequence of

Read the following passage and answer questions

A shot smashed the wing-mirror and I trod on the accelerator even harder trying to coax a little more speed out ofthe screaming engine. Beside me Priya was quite calm, but I could sense that she was as terrified as I was. She was clinging onto herseat so as not to be thrown on to me as we hurled round bends and comers, and bounced up and down on the rough surface. It was no more than cart track, really. My only thoughtwas to get to a town or village or at least to some sign of humanity — they would never dare shoot us down in cold blood in front of witnesses.

The little van was out of sight now round oneof the bends, but when we cameto an unexpectedly straight part of the lane, I could see it behind us in the driving mirror. Then there was a crash as our rear window exploded, a bullet whistled between our heads, and the windscreen shattered into a thick white fog.

“Knock it out, Priya! For God’s sake, knockit out!” I screamed. Priya was sobbing, choking back fear and with her gloved hands she beat at the windscreen, using her hand bag as a hammer and managed to knock a hole through which I could see the road ahead. The wind blew the broken glass in and my lap and chest were covered withlittle pebbles of glasses. Nowan icy gale whistled through the hole and madeit difficult to see where
we were going. My eyes were watering andit was all I could make out the bendsinthelane.

AP ICET 2016 (16th May) - Question 191

The narrator, along with his companion, was driving fast because

AP ICET 2016 (16th May) - Question 192

It was difficult to drive because

AP ICET 2016 (16th May) - Question 193

The narrator thought that

AP ICET 2016 (16th May) - Question 194

Priya had to knock the wind screen because

AP ICET 2016 (16th May) - Question 195

The narrator couldn't see very well because

Read the following passage and answer questions

Duty rounds the wholeoflife, from our entrance intoit until our exit from it. There is duty to superiors, duty to inferiors, and duty to equals. There is duty to man, and duty to God. Wherever there is power to use or to direct, there is duty.

The abiding sense of duty is the very crown ofcharacter. It is the upholding law of man in his highest attitudes. Withoutit the individual totters and falls before the first purr of adversity or temptation. Whereas, inspired byit, the weakest becomes strong and full of courage.

Duty is based upon a sense of justice — justice inspired by love, which is the most perfect form of goodness. Duty is not a sentiment, but a principle pervading life. It exhibits itself in conduct and in acts, which are mainly determined by man’s conscience and free will.

The voice of conscience speaksin duty alone. Withoutits regulating and controlling influence, the brightest and greatest intellect may be merely a light that leads us astray. Conscience sets a man upon his feet. Conscience is the moral governor of the heart. It is the governor of right action, right thought, right faith and right life. Only through its dominating influence can the noble and upright character be fully developed.

AP ICET 2016 (16th May) - Question 197

Duty is an outward form of ...............

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