International Maths Olympiad Forum By SOF Olympiad Trainer

Dhairya Godbole from KLE Eng Medium School, SOLAPUR

Subject :IMO Class : Class 6

Which of the following pair of numbers is divisible by 9 but not by 6?

A63522, 12459
B34641, 21645
C21364, 64536
D45972, 97254

Ans 1:

Aniruddh Singh from Premia Academy , Hydrabad

Class : Class 7

ERROR!!!!!!!!!!!!!!!!!!!

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Dhairya Godbole from KLE Eng Medium School, SOLAPUR

Subject :IMO Class : Class 6

Which of the following options is true for given statements?
P : -180 - (-172) + (-150) - 160
Q : 148 + (-160) - 400 -(-280)

AP = Q
BQ > P
CP > Q
DNone of these

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Ashwin Shridhar from Vidyashilp Academy, Bangalore

Subject :IMO Class : Class 8

The volume of a wall that is 5 times as high as it is broad and 8 times as long as it is high, is 12.8 m³. The breadth of the wall is ______.

A30 cm
B40 cm
C22.5 cm
D25 cm

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Harshvardhan Lugade from Podar International School, Pune

Subject :IMO Class : Class 6

Find the smallest number of shaded squares to be added so that the figure has a line of symmetry.

A 1
B 2
C 3
D 4

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Advik singla from Pkr Jain vatika sr sec school, Ambala city

Subject :IMO Class : Class 3

I am a 2-digit number. If 28 is added to me, I become a 3-digit number. If 63 is subtracted from me, I become a 1-digit number. Which number am I?

(A) 72

(B) 56

(C) 98

(D) 69
56

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Ketaki Subhash Ghatol from CSA Satara, Satara

Subject :IMO Class : Class 8

In the given question, two rows of numbers are given. Resultant number in each row is to be worked out separately based on the following rules and the question below the rows of numbers is to be answered. The operations of numbers progress from left to right.
Rules:
1. If an even number is followed by a prime number, they are to be multiplied.
2. If an even number is followed by a composite odd number, odd number is to be subtracted from the even number.
3. If an odd number is followed by a prime number, the first number is to be divided by the second number.
4. If an odd number is followed by an even number which is a perfect square, they are to be added.
5. If an odd number is followed by composite odd number, they are to be added.
23 15 9 64
x 31 15 3
If x is the resultant of the first row, then what is the resultant of the second row?

A54
B18
C21
D72

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Ans 1:

Arnav Diwan from F.A.I.P.S Kuwait, Kuwait

Class : Class 10

simple solution Sol: so, in the first row we have 23 15 9 64 23 plus 15 = 38 (applied rule 5) 38 - 9 = 29 (applied rule 2) 29 plus 64 = 93 (applied rule 4) Hence, First row result is 93 which is equivalent to x So, now in the second row we have 93 31 15 3 93 divided by 31 = 3 (applied rule 3) 3 plus 15 = 18 (applied rule 5) 18 X 3 = 54 (applied rule 1) Hence, resultant of second row is 54 which is answer option A

Ans 2:

Arnav Diwan from F.A.I.P.S Kuwait, Kuwait

Class : Class 10

simple solutionSol: so, in the first row we have 23 15 9 6423 15 = 38 (applied rule 5)38 - 9 = 29 (applied rule 2)29 64 = 93 (applied rule 4)Hence, First row result is 93 which is equivalent to xSo, now in the second row we have 93 31 15 393 divided by 31 = 3 (applied rule 3)3 15 = 18 (applied rule 5)18 X 3 = 54 (applied rule 1)Hence, resultant of second row is 54 which is answer option A

Ans 3:

Rithanya S from KV NAL, Bengaluru

Class : Class 9

Can someone solve this question

Ans 4:

KRISHNASHREE SWAIN from DELHI PUBLIC SCHOOL RAIPUR, RAIPUR

Class : Class 8

Ans 5:

Dhairya Vinayak from Loyola High School, Patna

Class : Class 8

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Diya from delhi public school dlf phase-2, GURUGRAM

Subject :IMO Class : Class 6

Fill in the blanks:A region in the interior of a circle enclosed by an _P_ on one side and a pair of _Q_ on the other two sides is called a _R_. A B C D

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Kunal Kankani from Bharti Public School, Delhi

Subject :IMO Class : Class 3

Trishi is meeting her friends for dinner at 7 p.m. The journey to the restaurant takes 55 minutes. What time must she leave her house if she wants to reach restaurant on time?

A6 : 05 a.m.
B6 : 05 p.m.
C6 : 10 p.m.
D7 : 10 p.m.

GOOD

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Ans 1:

Kunal Kankani from Bharti Public School, Delhi

Class : Class 3

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Aayush Tripathy from SAI International School, Bhubaneswar

Subject :IMO Class : Class 6

Find the value of if l is tens place digit of 6^th multiple of 36, m is ones place digit of H.C.F. of 72 and 192, n is ones place digit of the least common multiple of 6 and 42.

A3
B4
C2
D1