For integers p, q, r, is p < q ?
(I) q < p + r.
(II) $$P^{3} + q^{3} + r^{3} = 0$$.
TS ICET 2022 Question Paper Shift-1 (27th July)
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.
Is the positive integer p divisible by 1155?
(I) 165 divides p.
(II) 735 is a factor of p.
How many triangles can be formed using the given points in a plane?
(I) There are 10 points given in the plane.
(II) No three given points are collinear.
What is the price of a chair?
(I) The price of a chair and a table is Rs.7500.
(II) The cost of two chairs is Rs.5000.
What is the value of the odd positive integer n?
(I) 30 < 7n < 45
(II) 75 > 3n > 33
Is 10, a factor of n + 5 ?
(I) n is an odd number and divisible by 9.
(II) n is an even number and divisible by 5.
What is the cost of laying an outer circular track around a circular ground?
(I) The width of the track is 3 meters.
(II) The cost of the laying the track is Rs.500/- per square meter.
What is the sum of the first 20 terms of an Arithmetic Progression?
(I) The common difference of the Arithmetic Progression is 5.
(II) The $$5^{th}$$ and the $$7^{th}$$ term of Arithmetic Progression are 13 and 17 respectively.
If a = 5 , what is the average of a, b and c ?
(I) The difference between b and c is 8.
(II) The sum of b and c is 19.
If m, n are positive integers, is mn an even number?
(I) m + n is an even number.
(II) m + n is an odd number.
In how many days two persons A and B working together can complete a piece of work?
(I) A alone can complete the job in 10 days.
(II) B alone can complete the job in 12 days
What is the present age of the father?
(I) The sum of the present ages of the father and the son is 40.
(II) Five years ago, the fathers age was 5 times that of his son.
What is rate of simple interest?
(I) Principal is Rs.10000.
(II) Interest is Rs. 12800.
In the rectangle ABCD, which of the triang les AED and AEC has larger area?
(I) DE < EC
(II) AC > AE
What is the lateral surface area of the cone?
(I) Volume of the cone is $$9\pi cm^{3}$$
(II) Semi vertical angle of the cone is $$30^{\circ}$$
What is the rank of the student A in the class?
(I) The class has 25 students
(II) There are 13 students in the class who scored more marks than A.
Among four people P, Q, R and S, who is the tallest?
(I) R is shorter than Q.
(II) Q is taller than P, but shorter than S.
Six persons A, B, C, D, E and F are sitting around a circular table facing the centre. Who is sitting opposite to B?
(I) A and F are immediate left and right to E respectively.
(II) C and B are immediate right and left to D respectively.
Will it be Monday tomorrow?
(I) Sunday is a holiday.
(II) It is not a Friday day before yesterday.
What is the number of white balls in the bag?
(I) There are 14 balls in the bag.
(II) Number of black balls in the bag is 10.
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.
LKJ: ONM :: DEG: ______________
ACDF : CGJN :: BEHI : ___________
__________ : USE :: SAT : KSL
RAVE: SBWF :: KITE : _________
AEFJ : KOPT :: GKLP : _________
ABC : 14 :: BCD : ___________
BRONZE : 40 :: GOLD : _________
MK : ______ :: JH : 9
EK ⑯ : IO ㉔ :YQ⑯
CET : __ :: DOG : 420
In questions numbered 31 to 35 pick the odd thing out.
42,49, 60, 73, 88, 109,132
Moon, Mars, Mercury , Venus, Jupiter, Neptune, Uranus
Knife, Sword, Hammer, Needle, Thread, Axe, Blade, Nail
60, 90, 150, 210, 330, 390, 510, 630
January , March, May, June, July, August, October, December
Each of the questions from 36 to 45 follows a definite pattern, observe the same and fill in the blanks with suitable ones.
7, 2, 12, 6, 17, 10, 22, __________
2, 6 12, 20, __________ , 42, 56, 72
1, 9, 36, 100, ________, 441, 784
0, 3, 8, 15, 24, ___________, 48
$$\sqrt{4}, \sqrt{18}, \sqrt{48}, \sqrt{100}, \sqrt{180}, \sqrt{294}$$, ____________
8, 9, 5, 14, -2, 23, -13, __________
$$\frac{1}{2}, \frac{8}{5}, \frac{27}{10}$$, _________, $$\frac{125}{26}, \frac{216}{37}, \frac{343}{50}$$
12, 36, 80, 150,252, 392, ___________
13, 221, 17, 19, 437, 23, 23, _________ , 29
8, 18, 38, 78, 158, ___________, 638
A company produces five types of cars A, B, C, D and E. The below table shows number of cars of these types produced during the years 2016-2020 by this company. Based on this, answer questions 46-48
The percentage of increase in the production of cars of type A in the year 2020 in comparison with the year 2016?
The total number of cars of type D produced during the years 2016-2020 is
The ratio of the numbers of cars of types C and D produced during the years 2016-2020 is:
The following bar diagram gives information of biscuits exported by a company (in lakhs of tins) from 2005-2011. Based on this, answer the questions from 49-51.
The year that registered highest percentage of growth in exports over its preceding year is
Which year witnessed lowest increase in exports over its previous year?
The percentage increase in the exports in 2009 over its preceding year, corrected to two decimal places, is
In a survey of the games Cricket, Football and Badminton played by 3000 students in their intermediate, the following data emerged.
(i) 15% of the students played all the three games;
(ii) 750 students played only 2 games
(ii i) 730 students played only Cricket.
Based on this data answer the questions from 52 to 55.
The total number of students who played Football alone and Badminton alone is
If the number of students who played cricket a lone and badminton alone are equal, then the number of students who played football alone is
How many students played only one game?
How many students played at least two games?
For the letters of the English alphabets A, B, ... Z numbered as 1, 2, ... 26 a code is designed by coding the letter with number n by letter c(n) which is defined as under:
$$c(n) = \begin{cases} n+17, for 1 \leq n \leq9 & \\ n -1, for 10 \leq n \leq 18 &\\n-18, for 19 \leq n \leq \end{cases}$$
What is the code for COVID?
Which word is coded as UVKBR?
What is the code for PROFIT?
Which word is coded as BQRUV?
What is the code for the word ELEGANCE?
For the following questions answer them individually
If RECORD is coded as UHFRUG, the code for ENTRANCE is
In a certain code the words PRIME and TOWER are respectively coded as FNJSQ and SFXPU, then in the same code the word BEGIN is coded as
If TSICET is coded as VQKAGR, then BACKWARD is coded as
In a code language if GALAXY is coded as DXIXUV, then the code word for STAR is
If SHARE is coded as 43256 and ARRIVE rs coded as 255176, then the
code for SHIVER is
If June 23, 2015 is Thursday, then the day on November 10, 2020 is
The acute angle between the two hands of a clock when it shows 4:15 pm ( in degrees)
A clock strikes 2, 4, 6, ... ,24 times when the time is 1, 2, 3, ... , 12 (am or pm). Then the number of times it strikes between 10:30 am on a day and 1:40 pm next day is
A woman introduces a man as the son of the brother of her mother.
How is the man related to the woman?
If the first day of a non leap year wa s Sunday, then which was the last day of that year?
Reaching the place of meeting on Monday 15 minutes before 8:30 AM, Ram found himself half an hour earlier than Shyam who was 40 minutes late. What was the scheduled time of the meeting?
A, B, C, D and E sit around a round table facing the centre. A sits between E and 8, D sits immediate right of C. If B sits between A and D, then who is immediate right of E?
If the symbols $$\triangle,\Box, \odot, \diamondsuit$$ stand for the arithmetical operations of addition, subtraction, multiplication and division respectively, then $$\frac{1\triangle (402)}{(5\odot2)\Box (6\triangle 3)}$$ =
If + represents division, - represents addition, $$\times$$ represents subtraction and $$\div$$ represents multiplication, then
$$7 \div 3 - 5 \times 8 + 2 $$=
If a stands for +, $$\beta$$ stands for =, $$\gamma$$ stands for < and $$\delta$$ stands for > , then a $$\alpha$$ b $$\beta$$(2c) and b $$\gamma$$ c implies
If $$\frac{(12)^{4}.(20)^{3}.(45)^{3}}{(6)^{3}(15)^{4}(10)^{2}} = 2^{\alpha}.3^{\beta}.5^{\gamma}$$, then $$2\alpha + 3\beta + 5\gamma$$ =
$$\frac{4.3^{n+1} + 8.3^{n-1}}{3^{n+2} + 5(\frac{1}{3})^{1-n}}$$ =
A mixture of 40 litres has milk and water in the ratio 5 : 3. If we add 2 litres of milk to that mixture, then the ratio of water to milk in the new mixture is
20 litres of a mixture contains milk and water in the ratio 3 : 1. How much litres of milk must be added to this mixture so as to have milk and water in the ratio 4 : 1?
If $$\sqrt{12 + \sqrt{140}} = \sqrt{x} + \sqrt{y}$$ and $$x < y$$, then $$3y - 2x$$ =
If $$x = 3 + \sqrt{8}$$, then $$x^{4} + \frac{1}{x^{4}}$$ =
The largest 4 digit number when divided by 3 or 4 or 5 leaves remainder 2 is
Which one of the following is divisible by 12?
If the GCD of two numbers is 53 and if their sum is 636 and if both are more than 53, then the larger of the two numbers is
If square tiles of same size (each of side n cm) are to be used to pave the floor of dimensions 4.96m $$\times$$ 1.86m completely, then the largest value (in cm) of n is
$$2.3\overline{4}$$ =
$$1\frac{2}{3} + 4\frac{5}{6} + 7\frac{8}{9} + 10\frac{11}{12} = \frac{m}{n}$$ with GCD (m,n) = 1 then m - n =
The last among the numbers $$\frac{3}{5}, \frac{2}{3}, \frac{1}{2}, \frac{3}{4}$$ is
The sum of the largest and the smallest numbers among
$$\frac{3}{4}, \frac{4}{5},\frac{2}{3},\frac{5}{6}$$ is
The salary of a person was increased by 20% and then reduced by 10%.
What is the net change in his salary?
When 30 is subtracted from 120% of a number, the result is itself. What was that number?
A bicycle is sold for Rs.7938 and the merchant gets a profit of 8%, then the cost price of the bicycle in rupees is
The marked price of an article is Rs.480. The shop keeper allows a discount of 10% and gains 8%. If no discount is a llowed, what is the gain percentage?
A, B, C are partners in a business. If A invests in a business half as much as B and 8 invests twice as much as C, then the share of C in a profit of Rs .17640 at the year end in rupees, is
A started a business by investing Rs.12.5 lakhs. After 3 months B joined the business with some capital. If at the end of 9 months from the beginning they shared the profits in the ratio 25 : 24, then the capital of B in the business, in lakhs of rupees, is
Two taps A, B can fill a cistern in 8, 12 hours respectively. Both are opened at the same instant and after $$x$$ hours tap B is stopped and tap A continued. If the total time taken to fill the cistern is 5 hours, then $$x$$ =
A tap A can fill a tank in 4 hours and tap B can fill it in 6 hours. Both are opened simultaneously. It took 48 minutes more to fill the tank due to a small hole at the bottom of the tank. Then the time, in hours, in which the hole can empty a full tank is
If a car is travelling with a speed of 48 kmph covers $$\frac{3}{4}$$th of the distance in 3 hours 15 minutes, then the total distance (in km) is
A man takes 12 hours to walk from A to B and to ride from B to A. If he walks both ways he needs 3 hours more, then the time, in hours, that is required by him to ride both ways is
A and B can complete a work together in 16 days while B and C together can complete it in 24 days. If A, B, C work together they can finish the work in 12 days. The number of days required for A alone can complete that work is
If 3 men or 4 women can reap a field in 43 days, how long will 7 men and 5 women take to reap it?
Four circles each of radius a cm are touching each other in pairs as shown in the figure. The area of the shaded region (in sq.cm) between the circular, as shown in this figure is
The area of a rectangle is 3 times that of a square. The length of the rectangle is 16 m more than the side of the square while the breadth is $$\frac{1}{2}$$ of the side of the square. Then the perimeter of the rectangle, in meters, is
If the slant eight and radius of a right circular cone are in the ratio 5 : 4 and its volume is 432$$\pi$$ cubic feet, then the height of the cone, in feet, is
A metal solid cylinder of height 64 feet and base radius 6 feet is melted and cast in the form of a solid sphere, then the surface area of the sphere,(in square feet), ts
A Square field of side 34 feet is surrounded by a path of uniform width. If the cost of fixing tiles on this path at the rate of Rs.30 per sq. feet is Rs.15750, then the width of the path (in feet) is
The sides of a rectangular park are in the ratio 4 : 3 and its area is 8112 sq. m. Then the cost of fencing around the park at Rs.6 per meter, in rupees, is
The radius and length of a cylindrical roller are 25cm and $$2\frac{1}{2}$$ m respectively. Then the area it covers in 35 rounds, in square meters, is (take $$\pi =\frac{22}{7}$$)
If $$3^{58} \equiv r$$ (mod 28) and $$0 \leq r \leq 27$$, then r =
The number of real solutions of the equation $$2x^{2} - 5 |x| + 2 = 0$$ is
If A is the set of all positive integers greater than 1 and less than 45 that are coprime to 45, then the number of elements in A is
If a set A has 7 elements, then the number of subsets of A with at least 3 elements is
If $$f(x) = 3x^{2} + 7x + 6, g(x) = 4x - 7$$ and $$h(x) = 5 f(x) + x . g(x) + 4$$, then h(5) =
If $$27x^{3} - 54x^{2} + 36x - 8 = 0$$, then $$(x^{2} + \frac{1}{x^{2}}) + 4(x +\frac{1}{x}) + 3$$ =
llf $$ax + b$$ is the remainder when the polynomial $$14x^{3} + 61x^{2} + 77x + 30$$ is divided by $$7x^{2} + 13x + 6$$, then 3a + 4b =
If $$px^{2} + qx + r$$ is exactly divisible by $$x^{2} - 3x + 2$$ and leaves remainder 6 when divided by $$x + 1$$ then p - q + 2r =
The number of common solutions of the equations
$$3x - 2y + 7 = 0, 4y - 6x + 17 = 0$$ is
If $$\frac{3x+2y}{xy} = \frac{7}{5}$$ and $$\frac{2x+5y}{xy} = \frac{5}{3}$$, then $$x^{2} y$$ =
If $$| 3x - 7| = 2$$ and $$x > 2$$, then $$x$$ =
The arithmetic mean of 17 consecutive odd integers starting from 17 is
The number of multiples of 7 occurring between 100 and 10000 is
$$\frac{4 \tan 150^{\circ} + \sin 240^{\circ}}{5 \cos 330^{\circ} + 3 \cot 225^{\circ}} = m + n\sqrt{3} \Rightarrow m + n$$ =
$$\tan 20^{\circ} = x \Rightarrow \frac{\tan 259^{\circ} + \tan 340^{\circ}}{\tan 200^{\circ} - \tan 110^{\circ}}$$
In a triangle ABC, $$\tan \frac{A}{2}. \tan \frac{B}{2} + \tan \frac{B}{2} . \tan \frac{C}{2}.\tan \frac{A}{2}$$ =
If $$\cos \theta = \frac{-5}{13}$$ and $$\theta$$ is not in $$3^{rd}$$ quadrant, then $$\tan \frac{\theta}{2}$$ =
The angle of elevation of the top of a tower when observed from the top of a tree of height 10m on a river side is $$45^{\circ}$$ and the angle of depression of the reflection of the top of the tower in the river is $$60^{\circ}$$, then the height of the tower, in meters, is
A right angled triangle ABC is right angled at B. If AB = 3 cm, BC = 4 cm, then the length of the altitude from B to AC is
In ABC, $$\angle BCA = 90^{\circ}$$ and CD is perpendicular to AB. If AD = 4cm and BD = 9 cm, then the length of CD (in cm) is
If the lengths of the two diagonals of a rhombus are 10 cm and 24 cm, then the perimeter of the rhombus (in cm), is
The sides of a rectangle are in the ratio 6 : 5 and its area is 1470 $$cm^{2}$$. Then the perimeter of the rectangle, in cm, is
A and B are the end points of a diameter of a circle whose radius is 3 cm. If C is a point on the circle such that AC = CB, then the perimeter (in cms) of the $$\angle$$ ABC is
If the radii of two circles are 12 cm and 7 cm and the distance between their centres is 4 cm, then the number of common tangents that can be drawn to the two circles is
The centroid of the triangle formed by the points (-1, 2), (2, -3) and (4, -5) is
The ratio in which the X-axis divides the line segment joining the points (-3, -4) and (2, 3) is
A liine has slope $$\frac{5}{12}$$ and it makes an angle $$\theta$$ with positive X-axis, then $$sec^{2}\frac{\theta}{2}$$=
If $$\theta$$ is the acute angle between the lines $$y = 4x$$ and $$y = - 6x$$ then $$sin^{2} \theta$$ =
If origin is the centroid of a triangle ABC and if A(5, -1 ), B(-7,6), then the equation of the median through the vertex C is
The equation of the line which makes an angle $$135^{\circ}$$ with the positive direction of X-axis and an intercept -3cm on the Y-axis is
If the line $$y = kx + 11$$ is parallel to the line $$2x + 5y - 7 = 0$$, then the k =
If (3, -4), {4, 1 ), (7, -6) and (8, 0) are the coordinates of the points A,B,C and D respectively, then the point of intersection of the lines AC and BD is
If the arithmetic mean of -3, 5, 7, $$x$$, 8, 12 is 21, then $$x$$ =
The average score of a cricketer in 4 matches is 56 and that in 6 others is 46. Then his average score in 10 matches is
A data contains four 4's, five 5's, six 6's and seven 7's. Then the arithmetic mean of the data is
A data contains the natural numbers 1, 2, 3, ... 10 with frequencies $$1^{2}, 2^{2}, 3^{2} , ... 10^{2}$$ respectively, then the median of the data is
The median of a data containing 13 observations is 26. If 6 more observations 13, 15, 21, 27, 36, 42 are added to the data, then the median of the new data containing 19 observations is
The mode of the following frequency distribution given in the table, corrected to two decimal places, is
The arithmetic mean of some numbers is 18.5 and theiir mode is 16.2. Then their median is
When a fair die is tossed 3 times, the probability of getting a sum 14 is
The probability of geting exactly 5 heads when 8 fair coins are tossed simultaneously is
If two dice are thrown, the probability of getting the sum 7 is
Meanings (Sentences with dashes)
Obstinate attachment to the ideas of a particular group is called ___________ .
Deeply attached friends are sometimes callled ___________ friends.
He was terribly ___________ when he heard about his friend's accident.
An exaggerated opinion of one's sellf is called ___________ .
One of a class is called a ________.
Synonyms and Antonyms
The synonym of 'acknowledge' is
The synonym of 'mutual'
The antonym of 'incessant' is
The synonym of 'resentment' is
The synonym of 'bliss' is
Verb (Tense and Voice)
I have been working here ___________ 1990.
We look forward to ________ you.
____________ realised the nature of the job earlier, I would not have accepted it.
If wishes ___________ horses, this would not have happened.
Scarcely _________ she gone when I read her letter.
Phrasal Verbs & Idioms
You shoulld come _________ of your frame of mind, if you wish to succeed.
Being abreast ______________ times is the quality of a good researcher.
His arrival ____________ the ice to speed up the much-needed dialogue.
The bank helps people __________ business.
That Lawyer hard ly takes ____________ criminal cases.
Articles & Prepositions
They jumped ___________ my proposal.
She took exception _________ his behaviour.
Both of them came to __________ amicable agreement.
Is true love, love __________ first sight?
Who is afraid _____________ the robber?
Computer Terminology
A malfunction owing to an error in the program is called ___________
Cookie is a _________.
Emoji is a small digital _________.
Phishing is an e-mail that appears to be ___________ but not.
'Peripheral' is the name of a/an ____________ device attached to a computer.
Business Terminology
Stopping an activity for an agreed period of t ime is ____________.
To depict a process or a series of parallel processes one would use __________.
Confidential Reports of employees obtained on annual basis is an example of
A means used to encourage creative thinking is called _________.
An actuary's responsibilities include calculating
Read the Passage and answer the questions
There has never been a more urgent need to restore damaged ecosystems. The COVID-19 pandemic is a direct result of the degradation of natural areas, species loss, and exploitation. It is time to change how we cultivate our land, use our soils, exploit coastal and marine ecosystems, and manage our forests. India must participate actively in the UN Decade on Ecosystem Restoration. Ten years of sustained action will help India end poverty by enhancing livelihoods; to combat climate change by reviving natural carbon stores; to halt the collapse of bio-diversity by rebuilding homes for wildlife. Ecosystem restoration benefits people and nature. For a better future, India must work towards creating food systems that work with nature. Empowering small-scale farmers and women farmers and challenging social norms and business practices are key. This can be achieved through capacity building and education.
Globally, we must reduce net carbon dioxide emissions by 45% by 2030. And we must reach net-zero emissions by 2050 to have a hope of achieving the $$1.5^{\circ}$$ Paris Agreement target. India needs to work towards this by transforming energy systems, land use, agriculture, forest protection, urban development, infrastructure and lifestyles.
COVID-19 is chiefly attributed to
The processing problem that humanity needs to address in the context of ecological crisis is
Some of the changes that are recommended for ecological balance are
At present we are experiencing climate change. It is
We need to work out a system that allows
Read the Passage and answer the questions
I have been unusually fortunate as a writer, in that my life has given me more than one gold nugget of good and bad feeling or experience. To begin with, I had India, that inexhaustible horn of plenty, that endlessly nourishing well. After that I had migration because the journey, I made from East to West was made by millions of others. Migration is an old subject in America, but now it's the world's subject too. For good or ill this is the age of the migrant, the time in human history in which more people than ever before have ended up in places in which they did not begin, driven by economic necessity, political turmoil!, or simply the lure of the big city's bright lights. This too became my subject, thanks to the accidents of my life. And then, there is a third, the one that preoccupies me more and more - the desire to show how the world joins up, how 'here' connects to 'there', how the little boxes we live in now open out into other little boxes often very far away; and how in order to explain our lives, we often need to understand things happening on the other side of the world. I once wrote that the British didn't fully understand their own history because so much of it happened overseas.
The author feels fortunate as a writer because life has given him
What is the second point that the author elaborates?
By 'nourishing well' the writer implies__________
What is the theme that the author is increasingly interested in?
The British fully didn't understand their history because of their
Read the Passage and answer the questions
More than the biological coronavirus, civilization is indeed experiencing an excruciating world-wide pandemic of barriers and barricades. The fence is a testimony of death and terror of race and ultranationalism. If one listens carefully, one can hear the whispering voices from below, the voices the rich and the powerful refrain from hearing. How long will they refrain from hearing? How long will their voices go unheard from across the fences, voices fortified with the words of resistance not for rewards but for the vision of peace and freedom, of human rights and dignity? Absorbed in t he landscape, I begin to imagine a world undivided by barriers, a global consciousness unabashedly pro-diversity, and a land that gives you a deep sense of belonging. The world needs to rise above the frenzy of labels of race, gender, caste, religion and political bias. It needs to address as one people the issues that are far more crucial to humanity. Threats and detentions clash with the deep sense of peace that I experience, resonating a flash of some utopian borderless world that might someday become a reality.
The author used 'the fence' in the meaning of
The author envisions a world marked by
The voices of resistance are heard asking for
'The voices from below' refers to
What is the hope that the author nurtures?
