TS ICET 2014

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 1

What is the positive integer n not exceeding 180?
I. n is divisible by 7.
II. n is divisible by 13.

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Question 2

If ABCD is a square and E is a point on BC, then what is the area (in square units) of AECD ?
I. BE = 6
II. BE : EC = 1 : 2

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Question 3

What is the shape of the play ground ?
I. The perimeter of the play ground is 440 m
II. The area of the ground is 15400 sq. m.

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Question 4

What is the remainder when n is divided by 8 ?
I. The digit in units place of n is 8.
II. n is the product of eight consecutive positive integers.

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Question 5

What is the greatest common divisor of numbers a and b ?
I. The least common multiple of a and b is ab.
II. a + b = 15.

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Question 6

What is the average of a, b, c and 5?
I. 5(a + b + c) + 4 = 45.
II. a + b = c + d.

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Question 7

What is the value of $$\frac{x^2}{y^2} + \frac{y^2}{z^2} ?$$
I. $$\left(\frac{x}{y} + \frac{y}{z}\right)^2 = 100$$
II. x = 2z

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Question 8

Is xy < 0?
I. $$5 \mid x \mid + 3 \mid y \mid = 0$$
II. $$5 \mid x \mid + 3 \mid y \mid$$

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Question 9

How much time did A take to reach the destination ?
I. The ratio between the speeds of A and B is 3 : 4.
II. B takes 36 minutes to reach the same destination.

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Question 10

What is the slope of straight line ?
I. The straight line passes through the origin.
II. The straight line makes an angle $$30^\circ$$ with the positive direction of the X-axis.

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