AP ICET 2017 Shift 2

Instructions

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 11

Will it be a Monday tomorrow?
I. Every Sunday is a holiday.
II. Today is not a Sunday.

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Question 12

If a, b, c are integers, is a + b + c divisible by 3?
I. a > b > c
II. a - b = b - c = 2

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Question 13

What is the length of the line segment AB on the straight line PQ?
I. AP = BQ = 25 cm.
II. PQ = 300 cm.

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Question 14

For real numbers a, b and c. what is the value of a + b + c?
I. ac = 16.
II. a, b, c are in a geometric progression.

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Question 15

Is $$A \cap C = \varnothing$$
I. $$A \cap B = \varnothing$$
II. $$B \cap C = \varnothing$$

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Question 16

Is the integer n divisible by 120?
I. $$n = k(k^2 - 1)(k^2 - 4)$$ for some integer k.
II. n is divisible by 4 and 30.

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Question 17

For real numbers $$a, b$$ and $$c$$, is $$(a - b)^c > 0$$?
I. a < b
II. c is divisible by 16

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Question 18

For any real number x. the greatest integer not exceeding x is denoted by[x]. If [a] = 5 for some a, then what is [2a]?
I. $$a - [a] = \frac{2}{3}$$
II. a is a rational number

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Question 19

Fora polynomial p(x), is x - 1 a factor of p (2x - 1)?
I. p(3) = 0
II. p(1) = 0

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Question 20

What is the maximum possible length of the rod that can be placed in the box with rectangular base?
I. The area of the base of the box is given as a square units.
II. The height of the box is given as h units.

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