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Subject :IMO Class : Class 10

In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9 and 13 (factors of 585) and got the remainders 4, 8, 12 respectively. If he had divided the number by 585, the remainder would have been _____.

(A) 24

(B) 144

(C) 292

(D) 584

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Subject :IMO Class : Class 10

A man on the top of a vertical observation tower observes a car moving at a uniform speed coming directly towards it. If it takes 12 minutes for the angle of depression to change from 30° to 45°, how soon after this will the car reach the observation tower (approximately) ?

(A) 14 mins 35 secs

(B) 15 mins 49 secs

(C) 16 mins 26 secs

(D) 18 mins 5 secs

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The correct answer is C.

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Subject :IMO Class : Class 10

The value of 0.0396 ÷ 2.51 correct to 2 significant figures is ____ .

(A) 0.015

(B) 0.0157

(C) 0.016

(D) 0.017

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Subject :IMO Class : Class 10

The perpendicular bisector of the line segment joining the points A (1, 5) and B (4, 6) cuts the y-axis at ____ .

(A) (0, 13)

(B) (0, -13)

(C) (0, 12)

(D) (13, 0)

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The correct answer is A.

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Subject :IMO Class : Class 10

A building plan shows an office block for six officers A, B, C, D, E and F. Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies an office to the left of the corridor. E and F occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of C and D face each other. E does not have a corner office. F's office is further down the corridor than A's, but on the same side.

Who is/are F's neighbour(s) ?

(A) A only

(B) A and D

(C) C only

(D) B and C

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The correct answer is A.

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Subject :IMO Class : Class 10

A building plan shows an office block for six officers A, B, C, D, E and F. Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies an office to the left of the corridor. E and F occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of C and D face each other. E does not have a corner office. F's office is further down the corridor than A's, but on the same side.

Whose office faces A's office ?

(A) B

(B) C

(C) D

(D) E

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The correct answer is D.

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Subject :IMO Class : Class 10

A building plan shows an office block for six officers A, B, C, D, E and F. Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies an office to the left of the corridor. E and F occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of C and D face each other. E does not have a corner office. F's office is further down the corridor than A's, but on the same side.

If E sits in his office and faces the corridor, whose office is to his left ?

(A) A

(B) B

(C) C

(D) D

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The correct answer is C.

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Subject :IMO Class : Class 10

A matrix of certain characters is given. These characters follow a certain trend row wise or column wise. Find the missing number.

(A) 13

(B) 15

(C) 16

(D) 9

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There are seven figures, the first and last of which are unnumbered and the remaining are numbered as 1, 2, 3, 4 and 5. These seven figures form a series. However, one of the five numbered figures does not fit into the series. Choose the correct option.

(A) 1

(B) 2

(C) 3

(D) 4

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The correct answer is A.

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In the given question, there is a set of five figures labelled P, Q, R, S and T called the Problem Set. Select a suitable figure from the options which will substitute this question mark so that a series is formed by the figures P, Q, R, S and T taken in order.

(A)

(B)

(C)

(D)

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The correct answer is D.

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