International Maths Olympiad Forum By SOF Olympiad Trainer

Neetu BIjesure from The School, New Delhi

Subject :IMO Class : Class 4

Garima and Latika had an equal number of marbles. Garima gave 35 marbles to Latika. How many fewer marbles did Garima have than Latika now?
(a) 35
(b) 76
(c) 105
(d) 70

Ans 1:

Alan Z Palakkal from Manav Rachna International School, Gurgaon

Class : Class 4

Can you explain why answer is 70 ? I think it should be 35

Ans 2:

Nived from GEMS New Millennium School, Dubai

Class : Class 9

Lets us consider both of them have 70. And Garima has given 35 to Latika. So now, Garima has 35 and Latika has 105. 105-35=70, So now Garima has 70 fewer marbles then Latika.

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Kavya Vohra from Vedaant International School, Indore

Subject :IMO Class : Class 10

The mean height of the 10 girls of a class is 1.4 m and the mean height of the 30 boys of the class is 1.45 m. Find the approximate mean height of the 40 students of the class.
(a) 1.39 m
(b) 1.46 m
(c) 1.42 m
(d) 1.44 m

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Ans 1:

Rishit Verma from CMR NPS, Bengaluru

Class : Class 6

Answer is (d) absolute answer is 1.4375 m which is rounded off to 1.44 m

Ans 2:

Vaidehi from Agragami Convent School.Wardha., wardha

Class : Class 10

option D

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Kavya Vohra from Vedaant International School, Indore

Subject :IMO Class : Class 10

If xcos³θ + ysin³θ = sinθcosθ and xcosθ = ysinθ,
then x² + y² =
(a) 0
(b) 4
(c) 1
(d) 2

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Ans 1:

Kartikay from St. Joseph's Sr. Sec. Convent School Bathinda, Bathinda

Class : Class 10

(C) 1

Ans 2:

Kartikay from St. Joseph's Sr. Sec. Convent School Bathinda, Bathinda

Class : Class 10

(C) 1

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Kavya Vohra from Vedaant International School, Indore

Subject :IMO Class : Class 10

What is the sum of an A.P. whose first term is a, the second term is b and the last term is c?
(a)
(b)
(c)
(d)

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Ans 1: (Master Answer)

Admin from revisewise, Noida

Class : Class 1

The correct answer is A.

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Kavya Vohra from Vedaant International School, Indore

Subject :IMO Class : Class 10

If H.C.F of (x - 5)(x² - x - a) and (x - 4) (x² - 2x - b) is (x - 4)(x - 5), find the values of a and b respectively.
(a) 15, 18
(b) 10, 7
(c) -8, 10
(d) 12, 15

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Ans 1:

Brahmacharimayum Dasra from Padma Ratna English School , Kakching

Class : Class 6

Answer is(d) 12,15

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Kavya Vohra from Vedaant International School, Indore

Subject :IMO Class : Class 10

If the third, fourth, fifth, seventh and tenth letters of the word PERSONALITY forms a meaningful word then first letter of the word is the answer. If no word is possible, then 'X' is the answer and if more than one such word is formed, then 'M' is the answer.
(a) R
(b) X
(c) O
(d) M