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

Instructions

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.

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.

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Question 2

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

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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.

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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 .

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Question 5

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

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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 $$288\pi cm^{3}$$.

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Question 7

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

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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.

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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.

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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.

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