TS ICET 2020 Question Paper Shift-1 (1st Oct)

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In the 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.

TS ICET 2020 Shift-1 (1st Oct) - Question 1

Find the values of x and y.

(I) $$2x = 3y$$
(II) $$4x^{2} + 9y^{2} = 12 xy$$

TS ICET 2020 Shift-1 (1st Oct) - Question 2

Is the triangle ABC, an acute angled triangle?

(I) The sides of the triangle are in the ratio 4 : 5 : 7
(II) The Length of the longer side is 28 cm.

TS ICET 2020 Shift-1 (1st Oct) - Question 3

If a is an integer, 100 < a < 200. then what is the value of a?. then what is the value of a?

(I) a gives remainder 5 when divided by 10.
(II) a is divisible by 11 .

TS ICET 2020 Shift-1 (1st Oct) - Question 4

How many books were old this month in your shop?
(I) Last month ... 87 books were sold.
(II) The number of books sold this month was 2 times that of last month.

TS ICET 2020 Shift-1 (1st Oct) - Question 5

What is the height of the moutain .
(I) The angle of elevation of the top of the mountain is $$60^{\circ}$$.
(II) The top of the mountain is seen from a point which is on horizontal line with the base.

TS ICET 2020 Shift-1 (1st Oct) - Question 6

If a, b, c are in geometric progression, then a + b + c =
(I) a = 7.
(II) The third term of the progression is twice the first term.

TS ICET 2020 Shift-1 (1st Oct) - Question 7

What is the Mode of the frequency distribution?
(I) The arithmetic mean is 58.
(II) The total frequency is 100.

TS ICET 2020 Shift-1 (1st Oct) - Question 8

What is the percentage increase in profit of the company X in the year 2016 with respect to that in 2014?
(I) The profit of the company in 014 was Rs.1 lakh, which 10% more than that in 2015.
(II) Company's profit in 2016 was Rs.2 lakhs whkh was Rs.1 lakh more than that in 2014.

TS ICET 2020 Shift-1 (1st Oct) - Question 9

Let L be the set of straight lines in a plane. Is the relation S defined on L a reflexive relation?
(I) $$l_{1}, l_{2} ∈ L$$
(II) $$(l_{1}, l_{2}) ∈ S \leftrightarrow l_{1} \perp l_{2}$$

TS ICET 2020 Shift-1 (1st Oct) - Question 10

How many students are there in the school?
(I) Out of the total number of girl in the school, 25% belong to age group below 10 years and these are 150 in number.
(II) The ratio of girls to boys in the school is 5 : 7.

TS ICET 2020 Shift-1 (1st Oct) - Question 11

What is the average of $$x$$ and y ?
(I) $$x - y = 6$$
(II) $$x+ y = 16$$

TS ICET 2020 Shift-1 (1st Oct) - Question 12

Find the area of the rectangular field.
(I) The expenditure incurred in fencing along sides of the rectangle is Rs.30000
(II) Cost of fencing per feet is Rs.500.

TS ICET 2020 Shift-1 (1st Oct) - Question 13

ls the positive integer m divisible by 96?
(I) m is divisible by 12.
(II) (II) m is divisible by 8.

TS ICET 2020 Shift-1 (1st Oct) - Question 14

The arithmetic mean of integers r, s, t, u, v is 100. Are exactly two of these integers greater than 100.
(I) Three of the integers are less than 50.
{II) None of these integers is equal to 100.

TS ICET 2020 Shift-1 (1st Oct) - Question 15

If p, q are positive integers is p a multiple of q ?
(I) Every distinct prime factor of q is also a distinct prime factor of p.
(II) Every factor of q is also a factor of p.

TS ICET 2020 Shift-1 (1st Oct) - Question 16

Anil has 3 credits cards A,B and C. He owes balances on all the three card . Does he owe the greatest balance on the card B?
(I) The sum of the balances on card B and C is Rs.1350 which is 3 times the balance on card A.
(II) The balance on card B is 4/3 of the balance on card A and 4/5 of the balance on his card C.

TS ICET 2020 Shift-1 (1st Oct) - Question 17

Is the standard deviation of the ages of students in class A greater than standard deviation of the age of students in class B ?
(I) The difference between the ages of any two students in class A is always more than one year.
(II) No student in class B is more than 6 months older than any other student.

TS ICET 2020 Shift-1 (1st Oct) - Question 18

Is n an even integer?
(I) 6n is even.
(II) 71n is odd.

TS ICET 2020 Shift-1 (1st Oct) - Question 19

If Z is an integer, what is the units digit of $$Z^{3}$$ ?
(I) Z is a multiple of 5.
(II) $$\sqrt{z}$$ is an integer.

TS ICET 2020 Shift-1 (1st Oct) - Question 20

Wat is the ratio of discounted price of an item to its marked price?
(I) The discounted price is Rs.4 less than the marked price.
II) Discouned price is 20% les than the marked price.

For the following questions answer them individually

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

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

The following table gives the classification of 100 students based on the marks obtained by them in Mathematics and Physics in an examination. Based on this information, answer the questions from 46 to 48.

Based on the following bar diagram, answer the questions from 49-53.

Using the following Venn diagram answer the questions 54 and 55.

TS ICET 2020 Shift-1 (1st Oct) - Question 55

The region that represents employee in the government sector who are also post graduates is

Read the following questions and answer the following

TS ICET 2020 Shift-1 (1st Oct) - Question 56

In a code language, DISTANCE is written as IDTUBECN and DOCUMENT is written as ODDVNTNE. How is THURSDAY written in that language?

For the following questions answer them individually
TS ICET 2020 Shift-1 (1st Oct) - Question 63

In a certain code language the word PRINCE is coded as 144 and the word KING is coded as 91, then in the same language MINISTER is coded as

TS ICET 2020 Shift-1 (1st Oct) - Question 66

If a person take birth on $$14^{th}$$ April 1992. which was a Sunday, then on which day of the ,week does his birthday fall in 1993?

TS ICET 2020 Shift-1 (1st Oct) - Question 70

A bus $$B_{1}$$ arrives at a, station S, 50 minutes late, but it arrives 30 minutes before another bus $$B_{2}$$ which reaches the station S 20 minutes early than its scheduled time 3.40 pm. Then the scheduled time of arrival of bus $$B_{1}$$ and station S is

TS ICET 2020 Shift-1 (1st Oct) - Question 71

A person starts from his house and walks 80 meters towards West, then he walks 60 meter meters towards his left, then 80 meters towards West and then 40 meters towards South, finally, he turns right and walks 50 meters. What is the horizontal distance covered by him from his house? (in meters)

TS ICET 2020 Shift-1 (1st Oct) - Question 72

Four persons A, B, C and D live in different towns which are located as
i) B is to the South West of A;
ii) C is to the East of B and is also to the South East of A:
iii) D is to the North of C in line with B and A;
What is the direction of A relative to D?

TS ICET 2020 Shift-1 (1st Oct) - Question 74

If $$a \triangle b = \frac{a}{b} + \frac{b}{a}$$ and $$a * b = ab + \frac{1}{ab}$$ then $$(1 \triangle 2) * 4 =$$

TS ICET 2020 Shift-1 (1st Oct) - Question 78

A bag contains the coins of denomination of Rs.5. Rs.2, and Rs.1 in the ratio of 2 : 3 : 5 respectively. If total value of the money in the bag is Rs.2100, then how many Rs.5 coins are there in the bag?

TS ICET 2020 Shift-1 (1st Oct) - Question 79

The shares of two persons P and Q in a company are in the ratio 3 : 7. The company have each of them 20 additional shares, as a result of which, the ratio got altered to 1 : 2. How many shares of company does Q now hold?

TS ICET 2020 Shift-1 (1st Oct) - Question 87

If the reciprocal of the sum of the reciprocals of $$\frac{3}{5},\frac{5}{7},\frac{4}{9}$$ is $$\frac{p}{q}$$ when p, q positive integers with GCD 1, then 3q - 5p =

TS ICET 2020 Shift-1 (1st Oct) - Question 88

The biggest number among the following is
$$\sqrt{10} - 3, \sqrt{13} - 2\sqrt{3}, \sqrt{5} - 2, 3 -2\sqrt{2}$$

TS ICET 2020 Shift-1 (1st Oct) - Question 91

When numerator of a fraction is increased by 15%, and denominator is decreased by 8%, the fraction becomes $$\frac{15}{16}$$. What is the original fraction?

TS ICET 2020 Shift-1 (1st Oct) - Question 92

A merchant purchases 11 bags for Rs.900 and sells 9 for Rs. 1100. Then profit percent the gets in this business is

TS ICET 2020 Shift-1 (1st Oct) - Question 93

A person buys an article for a discount of 10% on its marked price Rs.1200. If, in turn, he sells it for Rs,1200, then profit percent is

TS ICET 2020 Shift-1 (1st Oct) - Question 94

A person started a business with Rs.15 lakhs. After 2 months, B joined A as a partner  and after 4 more months C joined A and B as a partner. At the end of the year, they shared the profit in the ratio 9 : 8 : 5. Then the ratio of the capitals of B and C was

TS ICET 2020 Shift-1 (1st Oct) - Question 95

The initial capitals. of two persons A and B in a partnership business are Rs.40 lakhs  and Rs.60 lakhs, respectively. After 4 months each of them invested Rs.10 lakhs. If the profit at the end of the year is Rs.13.6 lakhs, then the difference in their profits in lakhs of Rupees is

TS ICET 2020 Shift-1 (1st Oct) - Question 96

Two pipes A and B can fill an empty cistern in 6 hours and 8 hours, respectively. After opening both the pipes simultaneously, pipe B is closed after X hour and A filled the rest of the tank in 4 hours. Then X =

TS ICET 2020 Shift-1 (1st Oct) - Question 97

Two pipes $$P_{1}$$ and $$P_{2}$$ can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened simultaneously, but after 4 minutes, pipe $$P_{1}$$ is turned off. What is the total time required to fill the tank?

TS ICET 2020 Shift-1 (1st Oct) - Question 98

Walking at $$\frac{2}{3}rd$$ of my normal speed, I am an hour late to office. Then the normal time I take in travelling to office is

TS ICET 2020 Shift-1 (1st Oct) - Question 100

There are three workers Ram, Tom and Jill who take 3 hour. 2 hours and 4 hours respectively, for manufacturing a toy by themselves. How long would it take if all three workers worked together. (in hours)

TS ICET 2020 Shift-1 (1st Oct) - Question 101

Three persons A, B and C working alone, can complete a piece of work in 10, 15, and 40 days respectively. A and C started  working together, after 5 days, C quits and is replaced by B, The number of days required to complete the work is

TS ICET 2020 Shift-1 (1st Oct) - Question 102

The smallest side of a right angled triangle is 7 cm less than the side of square of perimeter 52 cm. The second largest side of that triangle is equal to the length of the rectangle of area 72 sq cm., whose breadth is 8 cm. The length of the largest side of the right angled triangle is (in cms)

TS ICET 2020 Shift-1 (1st Oct) - Question 103

The area of the four walls of a room is 128 sq.m. If the length, the breadth are equal and the height of the wall is equal to 4 meters , the area of the floor of the room (in sq.m) is

TS ICET 2020 Shift-1 (1st Oct) - Question 106

The ratio of diameter to height of a right circular cylinder is 6 : 5. If the diameter gets reduced by 25%, then its total surface area is reduced by 338.25 sq.meters. Then the circumference of the base of original cylinder is

TS ICET 2020 Shift-1 (1st Oct) - Question 107

A circular tent with a cone on top is to be constructed as shown in the given diagram. The canvas (in sq.m) required to erect the tent is

TS ICET 2020 Shift-1 (1st Oct) - Question 108

$$193m^{3}$$ of water is poured in a tank having a square base. The water reaches a level that is three times the length of the base. Then area of the base is (in $$m^{2}$$)

TS ICET 2020 Shift-1 (1st Oct) - Question 111

The converse of the following statement is
'If a triangle is equilateral then it i5 isosceles'

TS ICET 2020 Shift-1 (1st Oct) - Question 112

Which one of the following statements is true?

TS ICET 2020 Shift-1 (1st Oct) - Question 114

For $$x \neq -1$$, define $$\frac{x - 1}{x + 2}$$, then $$f(x) = \frac{f(x) - f(y)}{1+f(x)f(y)}$$

TS ICET 2020 Shift-1 (1st Oct) - Question 115

If $$f : R \rightarrow R$$ and $$g : R \rightarrow R$$ are functions defined by $$f(x) = 3x - 2$$ and $$g(x) = x^{2} + 1$$ then $$(gof^{-1})(2)= $$

TS ICET 2020 Shift-1 (1st Oct) - Question 117

A line makes intercepts a and b on the coordinate axes such that a+b = 5 and ab = 6
The equation of such a line is

TS ICET 2020 Shift-1 (1st Oct) - Question 118

$$\cot (-840^{\circ}) + \cosec (330^{\circ}) + \sec (1020^{\circ}) - \sin (-1320^{\circ}) =$$

TS ICET 2020 Shift-1 (1st Oct) - Question 121

A man walking away from the foot of a cliff 150 meters high observes that it take 2 minutes to change the angle of elevation of the top of the cliff from $$60^{\circ}$$ to $$45^{\circ}$$. His walking speed in kmph is

TS ICET 2020 Shift-1 (1st Oct) - Question 122

If $$\alpha$$ and $$\beta$$ are two roots of the equation $$ax^{2} + bx + c = 0$$, then $$a + \beta$$ and $$\alpha \beta$$ are respectively

TS ICET 2020 Shift-1 (1st Oct) - Question 123

If $$\alpha, \beta, \gamma$$ are zeros the polynominal of $$ax^{2} + bx^{2} + cx + d$$, then the polynominal zero are $$\frac{1}{\alpha}, \frac{1}{\beta}, \frac{1}{\gamma} =$$

TS ICET 2020 Shift-1 (1st Oct) - Question 124

The remainder when $$f(x) = 4x^{3} - 3x + 9$$ is divided by $$3x - 2$$ is

TS ICET 2020 Shift-1 (1st Oct) - Question 125

If $$px^{2} + qx + 17$$ leaves remainder -5, 13 when divided by $$x - 5x + 7$$, respectively. Then $$3p -q =$$

TS ICET 2020 Shift-1 (1st Oct) - Question 126

Vishal's age is at present four times the age of Jahnavi. After 8 years, Vishal's age will be 2.5 times Jahnavi's age. In another eight years, how many times will be vishal's age, as compared to Jahnavi's age?

TS ICET 2020 Shift-1 (1st Oct) - Question 127

A rational number becomes $$\frac{1}{4}$$ when 7 is subtracted from the numerator and 3 is added to the denominator. The same number becomes 2 when 1 is added to the numerator and is subtracted from the denominator. The number is

TS ICET 2020 Shift-1 (1st Oct) - Question 133

If $$A =\begin{bmatrix}0 & 0 & 1 \\0 & 1 & 0\\ 1& 0 &  0 \end{bmatrix}$$ and $$B =\begin{bmatrix}-1 & 0 & 0 \\0 & -1 & 0\\ 0 & 0 & -1 \end{bmatrix}$$, then then $$A^{99}B^{100} + B^{99}A^{100}$$

TS ICET 2020 Shift-1 (1st Oct) - Question 135

The derivative of $$f(x) = \frac{x^{3}+3}{x-1}$$

TS ICET 2020 Shift-1 (1st Oct) - Question 137

In the quadrilateral $$\llcorner$$ MNP shown below PN = 8, MQ $$\perp$$ LN and MQ = 6. If the area of $$\triangle$$ LNP = 32. then the area of $$\triangle$$ LMN =

TS ICET 2020 Shift-1 (1st Oct) - Question 139

If the point (1, 4) is the centroid of a triangle ABC with verticies A(4,-8), B(-9, 7), then the distance AC in units is

TS ICET 2020 Shift-1 (1st Oct) - Question 145

If $$ \sigma$$ is the standard deviation of the observatins $$x_{1}, x_{2}, ... , X_{n}$$, then the standard deviation of $$12x_{1} + 13, 12x_{2} + 13, ..... 12x_{n} + 13$$ is

TS ICET 2020 Shift-1 (1st Oct) - Question 146

A computer, while calculating the correlation coefficient between two variables X and Y, obtained the following results:
$$N = 25, \sum_{}^{}x= 125, \sum_{}^{}y= 100, \sum_{}^{}x^{2}= 650, \sum_{}^{}y^{2}= 460$$ and $$\sum_{}^{}xy= 508$$
At the time of checking, it is found that it copied two pairs of observations as


in the place of correct pairs



.The correct value of the coefficient of con-elation r is

TS ICET 2020 Shift-1 (1st Oct) - Question 147

A and B are two events such that $$P(A) = \frac{2}{3}, P(\overline{A}\cap B) = \frac{1}{6}$$ and $$P(A\cap B) = \frac{1}{3}$$, ther $$P(\overline{A}\cup B) = $$

TS ICET 2020 Shift-1 (1st Oct) - Question 150

A box has 5 white and 2 red balls. Another box has 3 white and 4 red balls. One ball is randomly seleckd from the first box and it is transferred to second box. Then one ball is randomly drawn from the second box. The probability that it is red is

Choose the correct word/ Correct Meaning of the Word/Fill in th Blanks with correct word /Phrase / Verb/ Preposition

TS ICET 2020 Shift-1 (1st Oct) - Question 167

The four Ps of Marketing are expanded as _____________.

TS ICET 2020 Shift-1 (1st Oct) - Question 170

The process of motivating employees to retire from the service prematurely by paying them substantial cash is called giving __________

TS ICET 2020 Shift-1 (1st Oct) - Question 173

Switch on the computer. (Change the voice)

TS ICET 2020 Shift-1 (1st Oct) - Question 174

A: 'Have you taken up your new job?'
B: 'Not yet. I am made to cool my heals as my boss is undecided about my as assignment.'

In this conversation 'B' implies that he

TS ICET 2020 Shift-1 (1st Oct) - Question 175

A: Naveen looks quite happy these days.
B: Why wouldn't he be! His marriage is on the cards.

'B' implies that Naveen's

TS ICET 2020 Shift-1 (1st Oct) - Question 176

After retirement, Mr Mishra is thinking of resting on his oars.
The underlined expression means

TS ICET 2020 Shift-1 (1st Oct) - Question 177

This has to be done by next week. We must get our act together before it is too late.
The underlined expression means

TS ICET 2020 Shift-1 (1st Oct) - Question 181

All the passengers _________ COVID-19 screening before they move to the departure gates.

We often worry about lying awake in the middle of the night - but it could be good for you. A growing body of evidence from both science and history suggest that the eight-hour sleep may be unnatural.

In the early 1990s. psychiatrist Wehr conducted an experiment in which a group of people were plunged into darkness for 14 hours every day for a month, It took some time for their sleep to regulate but by the fourth week the subjects had settled into a very distinct sleeping pattern. They slept first for four hours, then woke for one or two hourss before "falling into a second four-hour sleep. Though sleep scientists were impressed by the study, among the general pub he the idea that we must sleep for eight consecutive hours persists.

In 2001, historian Roger Ekirch of Virginia Tech published a seminal paper, drawn from 16 years of research, revealing a wealth of historical evidence that humans used to sleep in two distinct chunks. Roger Ekirch says a 1595 engraving by Jan Saenredam is evidence of activity at night. His book "At Day's Close: Night in Times Past." published four years later unearths more than 500 reference to a segmented sleep pattern in diaries court records, medical boob and literature, from Homer's Odyssey to an anthropological account of modern tribes in Nigeria.

Ekirch found that references to the first and second sleep started to disappear during the late $$17^{th}$$ century. This started among the urban upper classes in northern Europe and over the course of the next 200 years filtered down to the rest of western society. By the 1920s the idea of a first and second sleep had receded entirely from our social consciousness. He attributes the initial shift to improvements in street lighting, domestic lighting and a surge in coffee houses - which were sometimes open all night. As the night became a place for legitimate activity and as that activity increased the length of time people could dedicate to rest dwindled.

TS ICET 2020 Shift-1 (1st Oct) - Question 186

Vhich of the following assumptions is the writer questioning here?

TS ICET 2020 Shift-1 (1st Oct) - Question 188

What reasons did Ekrich give to explain reduced periods of rest?

The United States and Canadian governments are mounting a defence against Russian invasion. No, the clock has not been turned back. These invaders are Asian gypsy months, foliage-chomping insects that can cause billions of dollars in damage. Experts believe they entered North America from Russia last year in egg masses attached to grain vessels. The larger Asian gypsy moth is more voracious feeder than the common North American strain and can feed on pacific northwest tree species. Unlike the flightless North American female, an Asian female can fly 20 miles between mating and egg -laying. The United States Health Inspection Service is barring from west coast ports ships found carrying egg masses. The Tacoma and Portland areas, as well as Vancouver. British Columbia has been sprayed with a bio-pesticide.

TS ICET 2020 Shift-1 (1st Oct) - Question 193

The author calls the increase in Asian gypsy moths as 'Russian invasion'

TS ICET 2020 Shift-1 (1st Oct) - Question 194

Which of the folloing statements is not given in the passage?

TS ICET 2020 Shift-1 (1st Oct) - Question 195

The idiom "clocks haven't turned back" in the context of the passage means

Most investigators concur that certain facial expressions suggest the same emotions all people. Moreover, people in diverse cultures recognise the emotions manifested by the facial expressions. In classic research Paul Ekman took photographs of people exhibiting the emotions of anger, disgust, fear, happiness and sadness. He then asked people around the world to indicate what emotions were being depicted in them. Those queried ranged from European college students to members of the Fore, a tribe that dwells in the New Guinea highlands. All groups, including the Fore who had almost no contact with Western culture, agreed on the portrayed emotions. The Fore also displayed familiar facial expressions when asked how they would respond if they were the characters in the stories that called for basic emotional response. Ekman and his colleagues more recently obtained similar results in a study of ten cultures in which participants were permitted to report that multiple emotions were shown by facial expressions. The participants generally agreed on which two emotions were being shown and on which emotion was more intense.

TS ICET 2020 Shift-1 (1st Oct) - Question 197

What was the purpose of the experiment?

TS ICET 2020 Shift-1 (1st Oct) - Question 198

Who are members of Fore?

TS ICET 2020 Shift-1 (1st Oct) - Question 199

What was the group of people on whom subsequent researches were conducted to obtain similar results as earlier?

TS ICET 2020 Shift-1 (1st Oct) - Question 200

What was the additional outcome of suhsequent investigation by Ekman?

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