International Maths Olympiad Forum By SOF Olympiad Trainer

Rayman from Scholars Rosary Senior Secondary school, ROHTAK

Subject :IMO Class : Class 10

How many such pairs of digits are there in the number 95137248 each of which has as many digits between them in the number as when they are arranged in ascending order?

A None
B One
C Two
D Three

please tell its solution.I got the answer as 1 (3

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Ans 1:

Riya from Nirmal vidyalaya, Jagdalpur

Class : Class 10

According to me there are 5 such pairs

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lakshmi priya from Emerald Valley Public School, Salem

Subject :IMO Class : Class 10

In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is ______.

(A) 20 m

(B) 22 m

(C) 24 m

(D) 26 m

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Ans 1: (Master Answer)

Admin from revisewise, Noida

Class : Class 1

The correct answer is B.

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lakshmi priya from Emerald Valley Public School, Salem

Subject :IMO Class : Class 10

If α β and γ are in A.P., then cotβ = _______.

(A)

(B)

(C)

(D)

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Ans 1:

Abhash from DAV PUBLIC SCHOOL, Darbhanga

Class : Class 10

The answer is option c

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lakshmi priya from Emerald Valley Public School, Salem

Subject :IMO Class : Class 10

If T ₁, T₂, T ₃, ......., T _nare consecutive terms of an A.P., then

(A)

(B)

(C)

(D) None of these

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Ans 1: (Master Answer)

Admin from revisewise, Noida

Class : Class 1

The correct answer is A.

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lakshmi priya from Emerald Valley Public School, Salem

Subject :IMO Class : Class 10

∆ABC is right angled at A. DEFG is a square inscribed in triangle as side DE is on BC and G & F are two points at AB and AC respectively. Then DE ² =

(A) BD X EC

(B) BD = 2EC

(C) BD = ½EC

(D) None of these

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Ans 1: (Master Answer)

Admin from revisewise, Noida

Class : Class 1

The correct answer is A.

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lakshmi priya from Emerald Valley Public School, Salem

Subject :IMO Class : Class 10

Two circles with radii a and b respectively touch each other externally. Let c be the radius of a circle that touches these two circles as well as a common tangent to these two circles. Then ___.

(A)

(B)

(C)

(D) None of these

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Ans 1: (Master Answer)

Admin from revisewise, Noida

Class : Class 1

The correct answer is C.

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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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