Questions Paper Olmpiad - IMO-MATHEMATI CS

Q1. 2.13113111311113………..is _______.

1. Rational number
2. An integer
3. An irrational number
4. Not a real number

Answer: C

Q2. Given that H.C.F. (306, 1314) = 18, find L.C.M. (306, 1314).

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

Answer: C

Q3. 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

Q4. 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

Q5. H.C.F. of (10224, 1608) is _______.

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

Answer: B

Q6. 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

Q7. ax 3 + bx 2 +cx +d = 0 is said to be cubic polynomial if _______.

1. d ≠ 0
2. c ≠ 0
3. b ≠ 0
4. a ≠ 0

Answer: D

Q8. If the sum of the zeroes of the polynomial f (x) = 2x 3 – 3kx 2 +4x – 5 is 6, then the value of Of k is _______.

1. 2
2. 4
3. -2
4. -4

Answer: B

Q9. If a and b are the roots of x 2 – px + q = 0, then + b 2 is _____.

1. p 2 +q 2
2. p 2 +2q
3. p 2 - q 2
4. p 2 -2q

Answer: D

Q10. When 3x 2 – x 3 – 3x +5 is divided by x-1-x 2 , the quotient and remainder are_____

1. x+2 , 3
2. x-2, -3
3. x-2, 3
4. x+2, -3

Answer: C