AP ICET 17th September 2021 Shift-2


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.

Question 1

If ' a ' and ' b ' are positive integers. what is the value of ' a ' ?
I) b - a = 4
II) a + b = 2

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Question 2

What is the value of $$\tan2\theta$$ ?
I) $$\sin 2\theta = \frac{12}{13}$$
II) $$\theta$$ lies in the first quadrant

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Question 3

How much money 'X' saves from his salary in that month?
I) 'X' salary in that month is Rs.52,000
II) The amount 'X' spent in that month on children education and travel is Rs.13,800

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Question 4

What is the length of the train in meters?
I) The train takes 15 seconds to cross a platform of length 65 meters
II) Speed of the train is 80 KMPH

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Question 5

Is the $$\triangle$$ ABC equilateral?
I) Sum of the angles A, B is twice the third angle C
II) $$\angle A : \angle B : \angle C = 1 : 3 : 2$$

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Question 6

How many Sundays are there in that year?
I) February month in that year has 29 days
II) February month in that year has 28 days

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Question 7

Is the positive integer '$$x$$' odd?
I) $$7x$$ is an even integer
II) $$8x$$ is even integer

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Question 8

If 'x' , 'y' are positive integers, is $$\sqrt{x^{2} + y^{2}}$$ an integer?
I) $$x : y = 1 : 2$$
II) $$x + y$$ is an multiple of 7

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Question 9

What is the third term of that geometric progression?
I) The $$5^{th}$$ term of that progression is 32
II) Product of first 5 terms of that progression is 1024

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Question 10

What is the height of that right circular cone?
I) Volume of the cone is $$12\pi$$ cubic centimetres
II) Lateral surface area of the cone is $$15\pi$$ square centimetres

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