International Maths Olympiad Forum By SOF Olympiad Trainer

Dhwani Tiwari from Bhandari Public school , Khandwa

Subject :IMO Class : Class 8

If 2 men each working 5 hours per day can finish a job in 12 days, then how long will 4 men each working 2 hours per day take to finish the same job?

A14 days
B15 days
C10 days
D18 days

Please give the solutions for this question

Ans 1: (Master Answer)

Admin from revisewise, Noida

Class : Class 1

(B): Let required number of days be y .
2 × 5 × 12 = y × 4 × 2
⇒ 120 = 8y
So, y = 15 days

Ans 2: (Master Answer)

Admin from revisewise, Noida

Class : Class 1

(B): Let required number of days be y .
2 × 5 × 12 = y × 4 × 2
⇒ 120 = 8y
So, y = 15 days

Post Your Answer

Harsh from C. B. R. Modern Sr. Sec. School, Rewari

Subject :IMO Class : Class 8

DIRECTION : In the given diagram (not drawn to scale), the ratio of the area of circle A to the area of its hidden part is 5 : 2. The area of triangle B is twice as much as the area of circle A.

What is the area of the hidden part of circle A?

(A) 10 cm²

(B) 12 cm²

(C) 14 cm²

(D) 16 cm²
Area of A is 5/7 of 42

Ans 1:

ashashekhar from pis chinchwad, Pune

Class : Class 9

Ans 2:

Harsh from C. B. R. Modern Sr. Sec. School, Rewari

Class : Class 8

Ans 3:

Harsh from C. B. R. Modern Sr. Sec. School, Rewari

Class : Class 8

Ans 4:

ashashekhar from pis chinchwad, Pune

Class : Class 9

Post Your Answer

Harsh from C. B. R. Modern Sr. Sec. School, Rewari

Subject :IMO Class : Class 8

Two positions of a dice are shown here. When 1 is at the top, which number will be at the bottom?

(A) 5

(B) 2

(C) 3

(D) 6
5 and 1 can be at there interchanged place then 3is opposite to 1

Ans 1: (Master Answer)

Admin from revisewise, Noida

Class : Class 1

(D): Number of dots on opposite faces are (2, 4), ( 1, 6), (5, 3).

Post Your Answer

Debarka Das Gupta from Silchar Don Bosco School, Silchar

Subject :IMO Class : Class 7

The figure shows a trapezium PQRS whose lengths are in centimetres. If area of PQRS is 72 cm², find the value of x.

A 2
B 4
C 6
D 8

Ans 1:

Nayanaa Gupta from Modern Vidya Niketan Aravali Hills , Faridabad

Class : Class 8

Area of trapezium = 1/2 * h * (a+b) 72 = 1/2 * 6 * (4x+3x+10) 72 = 1/2 * 6 * (7x+10) 72 = 3 * (7x+10) 72 = 21x + 30 21x = 42 x = 42/21 x = 2 Thus, answer is A

Post Your Answer

Arnav Raj Sharma from GEMS International School the ultra master mega, Gurgaon

Subject :IMO Class : Class 7

Find the value of

A

B

C

DNone of these

Ans 1:

Mrittika Roy from DPS Ruby Park, Kolkata

Class : Class 6

Post Your Answer

Paridhi Umesh Kumar from Seven Square Academy, Thane

Subject :IMO Class : Class 7

Find the values of x and y respectively.

A 47°, 66°
B 66°, 48°
C 68°, 47°
D 47°, 68°

Ans 1:

Elantheeran Porkkovan from San Academy, Chennai

Class : Class 7

option a is right

Ans 2:

Arnesh Chakraborty from M P Birla Foundation Higher Secondary School, KOLKATA

Class : Class 8

b is right

Ans 3:

Akashdeep Das from Gems Modern Academy, Dubai

Class : Class 8

obtion b is correct answer, SOF is right.

Ans 4:

Hridhay Kanodia from WelhamBoysSchool, Bathinda

Class : Class 7

Post Your Answer

Arpit Gupta from Pkr Jain , Ambala

Subject :IMO Class : Class 10

Match the following.

(P) Rational form of 0.32 is	(i)
(Q) Rational form of 0.254 is	(ii)
(R) Rational form of 0.12 is	(iii)
(S) Rational form of 0.24 is	(iv)

A (P) → (iii); (Q) → (iv); (R) → (i); (S) → (ii)
B (P) → (iv); (Q) → (i); (R) → (ii); (S) → (iii)
C (P) → (iii); (Q) → (i); (R) → (iv); (S) → (ii)
D (P) → (i); (Q) → (iii); (R) → (iv); (S) → (ii)

the question is not correct.data is missing

Ans 1:

A1403A from SKCH, Bangalore

Class : Class 7

Ans 2:

Aditya from DPS, Bhopal

Class : Class 10

The table in the question has same value in (Q) and (S)

Post Your Answer

Mishika shah from little angels high school, gwalior

Subject :IMO Class : Class 5

The minimum number of match sticks that can be required to write 27 in roman number system is _______.

A8
B7
C6
D5

27 = XXVII Hence 8 sticks. Answer is option - (A)

Ans 1:

Mishika shah from little angels high school, gwalior

Class : Class 9

27 = XXVII Hence 8 sticks. Answer is option - (A)

Post Your Answer

Raenessh Ghosh from Delhi Public School , Navi mumbai

Subject :IMO Class : Class 5

Nitin set off from Town A. After 2 hours 20 minutes later, he stopped at Town B for lunch. He then took another 2 hours 5 minutes to reach Town C. How long was his lunch break? (Give your answer in hours and minutes)

A 1 hr
B 2 hrs 25 mins
C 1 hr 25 mins
D 1 hr 35 mins