International Maths Olympiad Forum By SOF Olympiad Trainer

Adarsh Wilson from ,

Subject :IMO Class : Class 8

Ram travels at rate of 3 km/hr and he reaches 15 minutes late. If he travels at the rate of  4 km/hr, he reaches 15 minutes earlier. The distance Ram has to travel is ____. 

A 1 km
B 6 km
C 7 km
D 5 km  

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Admin from revisewise, Noida

Class : Class 1

The correct answer is B.

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Parveen Kumar from Dav public school , Bokaro

Subject :IMO Class : Class 10

Ankit, Armaan and Abhay start at the same time in the same direction to run around a circular stadium. Ankit completes a round in 252 seconds, Armaan in 308 seconds and Abhay in 198 seconds, all starting at the same point. After what time will they meet again at the starting point ?

(A) 26 minutes 18 seconds

(B) 42 minutes 36 seconds

(C) 45 minutes

(D) 46 minutes 12 seconds

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Admin from revisewise, Noida

Class : Class 1

The correct answer is D.

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Parveen Kumar from Dav public school , Bokaro

Subject :IMO Class : Class 10

It costs Rs x each to make the first thousand copies of a compact disc and Rs y to make each subsequent copy. If z is greater than 1000, how much will it cost to make z copies of the compact disc ?

(A) zx - zy

(B) 1000x + yz

(C) 1000 (x - y) + yz

(D) 100 (z - y) + xz

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Admin from revisewise, Noida

Class : Class 1

The correct answer is C.

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Parveen Kumar from Dav public school , Bokaro

Subject :IMO Class : Class 10

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even ?

(A) 1/12

(B) 3/4

(C) 3/8

(D) 5/16

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Admin from revisewise, Noida

Class : Class 1

The correct answer is B.

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Parveen Kumar from Dav public school , Bokaro

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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Admin from revisewise, Noida

Class : Class 1

The correct answer is D.

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Parveen Kumar from Dav public school , Bokaro

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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Ans 1: (Master Answer)

Admin from revisewise, Noida

Class : Class 1

The correct answer is C.

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Parveen Kumar from Dav public school , Bokaro

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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Admin from revisewise, Noida

Class : Class 1

The correct answer is C.

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Parveen Kumar from Dav public school , Bokaro

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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Admin from revisewise, Noida

Class : Class 1

The correct answer is A.

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Parveen Kumar from Dav public school , Bokaro

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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Admin from revisewise, Noida

Class : Class 1

The correct answer is A.

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Parveen Kumar from Dav public school , Bokaro

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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Admin from revisewise, Noida

Class : Class 1

The correct answer is D.

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