TS ICET 19th August 2021 Shift-1


In the following questions a question is followed by data in the fonn of two statements labelled as I and II. You must decide whether the data given in the statements are sufficient to answer the questions.

Question 1

Five persons P,Q,R,S, and Tare going for a vacation on five different days of a week from Monday to Friday. Who goes on vacation Thursday?
I) Only two persons go on vacation after T and before R. More than two persons go on vacation after R and before P.
II) T goes on vacation inuuediately before S, only one person goes on vacation after Sand before Rand P goes before Q.

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Question 2

What is the remainder when the natural number N is divided by 10 ?
I) N is divisible by 2
II) $$N = 6^x, x$$ is an integer $$\geq 1$$

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Question 3

What is the area of the rectangle?
I) The perimeter of the rectangle is 50cm
II) The ratio of length and breadth is 4 : 1

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Question 4

What was the distance ben;veen the trains $$T_1$$ and $$T_2$$ in the beginning?
I) Trains $$T_1$$ and $$T_2$$ cross each other completely in 18 seconds, while travelling in opposite directions. Speed of trains $$T_1$$ and $$T_2$$ are respectively 72 KMPH and 54KMPH
II) Length of $$T_1$$ is 170 meters less than the length of $$T_2$$

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Question 5

Who completes the job faster?
I) P finishes the job in 12 days
II) The same can be completed together by P and Q in $$6\frac{2}{3}$$ days

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Question 6

What is the first term of the arithmetic progression?
I) The sum of the first 10 terms of the arithmetic progression is 85
II) The sum of the first 20 tenns of the arithmetic progression is 370

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Question 7

Is n a prime number ?
I) n leaves remainder 1 when divided by 6
II) n leaves remainder 5 when divided by 6

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Question 8

What is the lateral surface area of the right circular cylinder (take $$\pi = \frac{22}{7}$$)?
I) Volume of the cylinder is 3850 cm$$^3$$
II) Height of the cylinder is 25 cm

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Question 9

What is the cost price of the article ?
I) Its sale price is Rs.10,000/-
II) Sale Price includes taxes

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Question 10

Find the volume of the cone of height h and base radius r units.
I) The volume of a cylinder of height h and radius r is 1694 cu. units
II) Surface area of a cylinder of height hand radius r is 242 sq. units

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