TS ICET 2022 Question Paper Shift-2 (27th July)

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In the following questions numbered 1 to 20, 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.

TS ICET 2022 Shift-2 (27th July) - Question 1

If a , b and c are sides of a triangle, is it a right angled triangle?
(I) a < b + c.
(II) a., b, c are consecutive integers.

TS ICET 2022 Shift-2 (27th July) - Question 2

Is the integer n a prime?
(I) $$(n + 1)^{2}$$ is even.
(II) n + l is prime.

TS ICET 2022 Shift-2 (27th July) - Question 3

What is the mean height of the students in a class of 40 students?
(I) The total of the heights of the students in the class is 42.50 meters.
(II) The class has equal number of boys and girls.

TS ICET 2022 Shift-2 (27th July) - Question 4

What is the area of that rectangle?
(I) Perimeter of that rectangle is 34 cm .
(II) Length of the diagonal is 13 cm .

TS ICET 2022 Shift-2 (27th July) - Question 5

Is the positive integer n even?
(I) $$(n + 3)^{2}$$ is divisible by 9.
(II) $$(n + 2)^{3}$$ is an odd integer.

TS ICET 2022 Shift-2 (27th July) - Question 6

What is the radius of the sphere?
(I) Surface area of the sphere is not more than 144n $$cm^{2}$$.
(II) Volume of the sphere is not less than $$288\pi cm^{3}$$.

TS ICET 2022 Shift-2 (27th July) - Question 7

What is the va lue of c?
(I) a, b and care real numbers and b + c = d.
(II) d - b = 50.

TS ICET 2022 Shift-2 (27th July) - Question 8

What is the common difference of the Arithmetic Progression?
(I) The sum of its first 20 terms is 580.
(II) The eleventh and the sixteenth terms of the Arithmetic Progression are 31 and 46 respectively.

TS ICET 2022 Shift-2 (27th July) - Question 9

What is the average of p, q, r and s?
(I) 3(p + q + s) = 63 and r = 3.
(II) p + q + r = s + 24.

TS ICET 2022 Shift-2 (27th July) - Question 10

What is the percentage of defective items produced in the factory?
(I) The total number of defective items produced in that factory is 450.
(II) The ratio of defective items to non-defective items is 50 : 1250.

TS ICET 2022 Shift-2 (27th July) - Question 11

If ACB is a straight line, what is the angle $$\angle$$ ACD ?
(I) DC is perpendicular to CE.
(II)2 $$\angle$$ ECB = 3 $$\angle$$ ACD.

TS ICET 2022 Shift-2 (27th July) - Question 12

What is the value of r in the following triangle?
(I) $$p + q = 110^{\circ}$$
(II) $$q + r = 120^{\circ}$$

TS ICET 2022 Shift-2 (27th July) - Question 13

What is the total enrolment of students in the class?
(I) The number of boys and girls in the class are in the ratio 1 : 4.
(II) The total enrolment of students is a two digit perfect square.

TS ICET 2022 Shift-2 (27th July) - Question 14

What is the height of the tower AB?
(I) Seen from a point C in line wit h B t he angle of elevation of A is $$30^{\circ}$$.
(II) Seen from another point D in line with B the angle of elevation of A is $$45^{\circ}$$.

TS ICET 2022 Shift-2 (27th July) - Question 15

What is the rate of simple interest on the tenn deposit?
(I) The amount deposiited is Rs.50000.
(II) At the end of the term the amount received is Rs.56000.

TS ICET 2022 Shift-2 (27th July) - Question 16

What is the present age of the mother?
(I) After five years, the mother will be twice the age of her daughter.
(II) Fifteen years ago the mother was twice the age of her daughter five years ago.

TS ICET 2022 Shift-2 (27th July) - Question 17

Among the five students A, B, C, D, E each scoring different marks in an examination, who scored the lowest marks?
(I) D got lower marks than only C and E.
(II) B got higher marks than A

TS ICET 2022 Shift-2 (27th July) - Question 18

Is A taller than B?
(I) C is of the same height as that of A and B.
(II) B is not taller than C

TS ICET 2022 Shift-2 (27th July) - Question 19

How many brothers does A have?
(I) A's father has three children.
(II) A has two sisters.

TS ICET 2022 Shift-2 (27th July) - Question 20

How is P related to R ?
(I) A is a brother of P.
(II) R is a brother of A.

In the questions 21 -30, each contains two pairs of groups ( of letters or letters and numbers). The pattern that appears in one pair should be followed by the other pair also. Observe the pattern carefully and fill in the blanks appropriately.

Note : In questions numbered 31 to 35 pick the odd thing out.

Note : Each of the questions from 36 to 45 follows a definite pattern, observe the same and fill in the blanks with suitable ones.

Temperatures on different days of a week in Hyderabad are given in the following graph. Based on this data answer the questions 46-48.

TS ICET 2022 Shift-2 (27th July) - Question 48

On which day the temperature was maximum and by how much more than the average temperature of the week (in degrees)?

The expenditure incurred by a company under seven major heads A, B, C, D, E, F and G in an year is depicted as percentages and shown in the following Pie chart. Based on the data answer the questions 49 to 51.

170 children went to an amusement park where they could take three different rides A, B and C. It was known that 40 of them took all the three rides and 110 of them took at least two of the three rides. Each ride costs ten rupees and the total receipts of the amusement park were Rs.2900 through these children. Based on this information, answer the questions from 52 to 55.

In a certain code, $$n^{th}$$ letter in t he English alphabet is coded as $$(n + 4) (mod 26)^{th}$$ letter if n is even and (n - 4) $$(mod 26)^{th}$$ letter if n is odd. The inverse process is used for decoding.
Using this information answer the questions from 56 to 60.

For the following questions answer them individually
TS ICET 2022 Shift-2 (27th July) - Question 68

The time between 5 pm and 6 pm on a day at which the two hands of the clock will be at an angle of $$97\frac{1^{\circ}}{2}$$ for the first time.

TS ICET 2022 Shift-2 (27th July) - Question 69

Define the Blood relationships in a family as follows.
(i) A + B $$\Rightarrow$$ A is brother of B.
(iii) A - B $$\Rightarrow$$ A is mot her of B.
(iiii1) A $$\times$$ B $$\Rightarrow$$ A is sister of B.
What is the relationship between P and S in P + Q - S?

TS ICET 2022 Shift-2 (27th July) - Question 70

Two busses arrived at a depot at 11 am and 2 pm with delayed timings of 18 minutes and 38 minutes respectively. What is the difference in their scheduled times of arrival on minutes)?

TS ICET 2022 Shift-2 (27th July) - Question 71

There are 3 doctors having clinics in the same building. Doctor A is available between 11 AM and 3 PM on Monday, Thursday, Friday and Sunday. Doctor B is available on Tuesday, Thursday and Sunday between 10AM and 2 PM while Doctor C is available on Monday, Wednesday and Thursday between 9 AM and 12 Noon and on Friday, Saturday and Sunday between 2 PM and 4 PM. On which day at which time all the 3 doctors are available?

TS ICET 2022 Shift-2 (27th July) - Question 72

Six friends A, B, C, D, E and F are sitting in a row on a bench. C is left most and E is right most. If A is between D and F and B is between F and E. Who is sitting immediate right to A?

TS ICET 2022 Shift-2 (27th July) - Question 89

The desending order of the numbers $$\frac{7}{8}, \frac{5}{6}, \frac{3}{4} and \frac{8}{9}$$ is

TS ICET 2022 Shift-2 (27th July) - Question 90

The gross income of a person is Rs.22 lakhs. A part of the income is exempted from the tax. The rest of the income is taxed at 30%. If his income after deduction of tax is 19 lakhs, what is the income (in lakhs) exempted from tax?

TS ICET 2022 Shift-2 (27th July) - Question 91

Three candidates A, B, C contested an election and got 4450, 12000 and 3550 votes respectively. What is the percentage of the total votes polled by B?

TS ICET 2022 Shift-2 (27th July) - Question 92

A man sold an article at a profit of 12%. Had he sold it Rs.180 more, 18% would have been gained. What is the cost price of the article (in rupees)?

TS ICET 2022 Shift-2 (27th July) - Question 93

The cost price of 10 articles is equal to the selling price of the same 12 articles. What is the outcome of this transaction?

TS ICET 2022 Shift-2 (27th July) - Question 94

In a business P, Q and R invested Rs.6000, Rs.8000 and Rs.12000 respectively. What is the share of Q in the total profit of Rs.10400 (in rupees)?

TS ICET 2022 Shift-2 (27th July) - Question 95

A, B and C started a business with investments in the ratio 1 : 3 : 5. After 4 months, B and C withdrew half of their investments. At the end of the year, if C's share of profit is Rs.6000, then B's share of profit (in Rs.) is

TS ICET 2022 Shift-2 (27th July) - Question 96

Two pipes P and Q can separately fill cistern in 6 hours and 8 hours respectively, while a third pipe R can empty it in 12 hours. If all the three pipes are opened together, then the time taken to fill the cistern is

TS ICET 2022 Shift-2 (27th July) - Question 97

An electric pump can fill a tank in 2 hours. Because of a leak in the bottom, it took 3 hours to fill the tank. In how much time the leak can drain all the water of the full tank?

TS ICET 2022 Shift-2 (27th July) - Question 98

A car covers a certain distance at 80 kmph and returns the same distance at 60 kmph. What is the average speed for the whole journey (in kmph)?

TS ICET 2022 Shift-2 (27th July) - Question 100

P can do a piece of work in 24 days, Q in 30 days and R in 60 days. In how many days all the three together can do that work?

TS ICET 2022 Shift-2 (27th July) - Question 101

Persons A and B undertook to do a work for Rs.8000. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, if they finished that job in 3 days, then C's share in the remuneration is (in rupees)

TS ICET 2022 Shift-2 (27th July) - Question 103

A path of width 3 meters is laid on all borders inside a rectangular garden, whose length and breadth are 40 meters and 20 meters respectively. The total are a of the path, in square meters, is

TS ICET 2022 Shift-2 (27th July) - Question 105

The weight of a solid metallic sphere of radius 4 cm is 4 kg. The weight of a hallow sphere made with the same metal with outer diameter of 16cm and inner diameter of 12 cm is,

TS ICET 2022 Shift-2 (27th July) - Question 106

The height of a cylindrical pillar is 28 meters and its radius is 3 meters. The cost of painting around the pillar at Rs.8 per sq.meter (in rupees) is

TS ICET 2022 Shift-2 (27th July) - Question 112

For three sets A, B and C, if n(A) = 20, n(B - A) = 16 and
n( C - (A $$\cup$$ B)) = 24, then n(A $$\cup$$ B $$\cup$$ C) =
(n(A) denotes the number of elements in A )

TS ICET 2022 Shift-2 (27th July) - Question 116

The remainders when the polynomial $$f(x)$$ is divided by $$(x - 2)$$ and $$(x - 3)$$ are 6 and 4 respectively. Then the remainder of $$f(x)$$ when divided by $$(x^{2} - 5x + 6)$$ is

TS ICET 2022 Shift-2 (27th July) - Question 119

$$\sqrt{(x^{2} - 2x - 15)(x^{2} - 5x - 24)(x^{2} - 13x + 40)}$$=

TS ICET 2022 Shift-2 (27th July) - Question 120

The interior angles of a regular polygon are in Arithmetic Progression. The smallest angle of the polygon is $$120^{\circ}$$ and the difference of consecutive angles is $$5^{\circ}$$. Then the number of sides of the polygon is

TS ICET 2022 Shift-2 (27th July) - Question 123

If $$0 < \theta < 270^{\circ}$$ and $$\sec \theta + \tan \theta = \frac{1}{5}$$, then $$\sin\theta$$ =

TS ICET 2022 Shift-2 (27th July) - Question 126

If the angle of elevation of the top of a tower of height 100 m from a point to its foot is $$\tan^{-1} (\frac{4}{5})$$, then the distance from the point to its foot, in meters, is

TS ICET 2022 Shift-2 (27th July) - Question 127

In the given figure $$\triangle ABC$$, if $$\angle BEC = 90^{\circ}$$, $$\angle EBD=4O^{\circ}$$ and $$\angle DAC = 30^{\circ}$$, then $$x+y$$ =

TS ICET 2022 Shift-2 (27th July) - Question 134

If $$\left(\frac{5}{3}, \frac{2}{3}\right)$$ is the centroid of a triangle for which (3, 6) and (5, -2) are two vertices, then the third vertex is

TS ICET 2022 Shift-2 (27th July) - Question 137

If the lines $$5x - 2ky + 7 = 0$$ and $$2kx - 5y + 3 = 0$$ are parallel, then the equation of the line passing through (0, 0) and having the slope k, k>0 is

TS ICET 2022 Shift-2 (27th July) - Question 139

The distance between (1 , 2) and t he mid point of the line segment joining (2, 3) and (3, 4) is , in units

TS ICET 2022 Shift-2 (27th July) - Question 144

The median of data containing 11 observations is 15 . If 8 more observations 32, 33, 6, 9, 8, 2, 19, 17 are added to the data then the median of the new data containing 19 observations is

TS ICET 2022 Shift-2 (27th July) - Question 150

If seven persons are to be seated in a row, then the probability that two particular persons sit next to each other is

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TS ICET 2022 Shift-2 (27th July) - Question 183

The Stock Exchange that introduced "The Screen-based Trading System" for the first time is

Read the Passage and answer the questions

All comedy probably arises from our enjoyment of other people's mistakes. If we did not make mistakes, there would be nothing in the world to laugh at. Hence, if we regard laughter as a blessing, we should pay a tribute to error. In the history of t he world the man who makes mistakes has never been sufficiently appreciated. For all the mirth he has given us we have repaid him with the basest ingratitude. Of this ingratitude you will find evidence if you turn to punch and look carefully at its admirable weekly collection of the errors of journalists and printers. Not long ago, it was Punch's custom to give the name of the paper from which the misprint or mis-statement was taken. You would imagine t hat any journalist or printer would have felt honoured as one who added to the gaiety of the most heavily taxed of nations. But it was otherwise, protests poured into the punch office. In a world that rightly appraised error, the newspapers would protest against this an attempt to rob them of the credit of having increased human happiness.

Read the Passage and answer the questions

We are now face to face with class conflicts. There has grown up an intense class consciousness with elements of suspicion and hatred, envy and jealousy. Democracy is so interpreted as to justify not only the very legitimate aspiration to bring a more equitable distribution of wealth, but also the increasing tendency for a levelling down of all talent. This is not possible. There win always be man of ability who lead and direct, and others who win obey and follow. It is not true that all men are born equal in every way, and everyone is equally fit to govern the country or till the ground. Every line of development is specific and exclusive. If we wish to pursue one we shall have to turn our attention away from others. While we should remove the oppressive restrictions, dispel the ignorance of the masses, increase their self-respect, we should not be under the illusion that we can abolish the distinctions of the genius and the fool, the able organized and the submissive worker. Modern democracies tend to make us all mere 'human beings',but such beings exist nowhere.

Read the Passage and answer the questions

The other day, a motoristic friend of mine was complaining to me bitterly even violently, about the behaviour of pedestrians. They were abominably careless and stupid, he insisted. I hate to see anyone agitated by a grievance, and I tried to soothe my friend by an appeal to reason. I said, 'No doubt we pedestrians are very trying. But you must remember that, after all, we were on the roads for many, many centuries before you came along in your splendid car. And remember, it isn't we that are threatening to kill you. It is you that are threatening to kill us, and, if the worst comes to the worst, lay some flowers on our graves.

We are constantly told by the press that we must be 'traffic-conscious'. But there is really no need to tell us we must be so. How could we be otherwise? How not be concussion-apprehensive, annihilation-evasive, and similar compound words? Very old people and very young people form the majority of those who are annually slaughtered upon our roads.

TS ICET 2022 Shift-2 (27th July) - Question 196

The, passage deals with the conflicting views of the

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