AP ICET 25th July 2022 Shift-1


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

Question 1

Is the natural nurnber 'n' a perfect square ?
I. 'n' leaves remainder 2 when divided by 4.
II. 'n' ends with zero.

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Question 2

What is the length of the side AC in the isosceles triangle ABC?
I. $$\angle C = 90^\circ$$
II. $$AB = 10 \sqrt{2}$$

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Question 3

What is the selling price of the a1ticle A?
I. Cost price of A is Rs.120.
II. Discount on the marked price of A is Rs. 30.

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Question 4

In a class of 60 students, each one plays either cncket or hockey. How many play cricket only?
I. 30 students play both the games.
II. 10 students play hockey only.

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Question 5

What is the total cost of 2 benches and 3 chairs?
I. Cost of 2 benches is Rs. 600 more than the cost of 3 chairs.
II. Cost of a chair is Rs.200 less than $$\frac{2}{3}rd$$ of the cost of a bench.

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Question 6

What is the value of $$\frac{x^3 + y^3 + xy^2 + yx^2}{x^2y^2}$$?
I. x > y
II. x = 2y

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Question 7

The speed of a boat in still water is 8 kmph. What distance can it travel in 20 minutes?
I. The boat is moving down the stream.
II. Speed of the current is 2 kmph.

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Question 8

What is the remainder obtained when the integer N is divided by 60 ?
I. $$N = (n - 2)(n - 1)n(n + l)(n + 2)$$, where $$n > 1$$ is an integer.
II. $$500 < N < 2500$$

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Question 9

Two natual numbers are in the ratio 3 : 7. What is their difference?
I. The product of numbers is 1344.
II. Both numbers are less than 100.

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Question 10

What is the g.c.d of m and n ?
I. $$m = 2^3 3^2 7^3; n = 3^2 7^x 11^3$$
II. $$x > 3$$

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