Questions Olmpiad IMO-Mathematics

Q1. In a Plane 3 lines and a circle are given. If points of intersection of two lines or that of a line with the circle are counted ,the maximum number of points of intersections possible In this is ____.

1. 12
2. 9
3. 6
4. 5

Q3. Given that H.C.F. (306, 1314) = 18, find L.C.M. (306, 1314).

1. 83234
2. 23238
3. 22338
4. 23328

Answer: C

Q4. The product of two consecutive natural numbers is always _______.

1. An even number
2. An odd number
3. A prime number
4. Divisible by 3

Answer: A

Q5. A circular field has a circumference of 360 km. Two cyclists Sumeet and Samrat start together and can cycle at speeds of 12km/hr and 15 km/hr respectively around the circular Field. After how many hours will they meet again at the starting point

1. 60
2. 8
3. 100
4. 120

Answer: D

Q6. H.C.F. of (10224, 1608) is _______.

1. 12
2. 24
3. 48
4. 96

Answer: B

Q7. Find the largest positive integer that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively.

1. 15
2. 16
3. 17
4. 18

Answer: C

Q8. MANGO IS CODED AS 31-1-41-7-51, Then how will be LEAF be coded in that language ? If in a certain code language,

1. 21-10-8-9
2. 21-10-9-8
3. 21-5-6-1
4. 21-5-1-6

Answer: D

Q9. Four friends Mohit, Raj, Varun and Anuj live in a same locality. The house of Raj is in the East of Mohit’s house and in the North of Varun’s house. The house of Varun is the West of Anuj’s house. Anuj’s house is in which direction w.r.t. Mohit’s house?

1. South-East
2. South
3. North-West
4. West

Answer: A