Q.1 |
If x = sin²θ and y = cos²θ +1, then find the value of x + y. |
a) |
0 |
b) | 1 |
c) | 2 |
d) | 3 |
Q.2 |
In the probability of getting a number greater than or equal to 3 in a throw of a biased dice is 5/6, then how many of the six numbers in the biased dice are definitely less than 3? |
a) |
2 |
b) | 3 |
c) | 1 |
d) | Cannot be determined |
Q.3 |
What will be the lateral surface area of a cylinder (in terms of radius r) whose height is twice of its radius? |
a) |
2πr3 |
b) | 4πr2 |
c) | 6πr2 |
d) | 8πr2 |
Q.4 |
In figure AB = 8 cm, BC = 12 cm and AE = 6 cm. Find area of the rectangle BCDE. |
a) |
120 cm² |
b) | 190 cm² |
c) | 220 cm² |
d) | 150 cm² |
Q.5 |
Identify the identical figures from the following options given. |
a) |
(1, 5, 7), (3, 6, 8), (2, 4, 9) |
b) | (1, 4, 7), (2, 6, 8), (3, 5, 9) |
c) | (1, 5, 7), (2, 6, 8), (3, 4, 9) |
d) | (5, 7, 9), (2, 6, 8), (1, 3, 4) |
Q.6 |
In a class of 15 students, on an average, each student got 12 books. If exactly two students received same number of books, and the average of books received by remaining students be an integer, then which of the following could be the number of received same number of books? |
a) |
11 |
b) | 15 |
c) | 20 |
d) | 25 |
Q.7 |
Ankit and Anuj started simultaneously from X and Y respectively. Each person started towards the starting point of the other XY = 18 km. The speeds of Ankit and Anuj throughout their journeys were 5 kmph and 4 kmph respectively. On reaching X or Y, each turned back immediately to resume the journey to his starting point. Find the total distance travelled by Ankit before meeting Anuj for the second time. (in m) |
a) |
30 |
b) | 27 |
c) | 24 |
d) | 33 |
Q.8 |
Every number on the number line represents a ________ number which is either _________ or _________. |
a) |
Real, Rational, Irrational |
b) | Complex, Rational, Irrational |
c) | System, Rational, Irrational |
d) | None of these |
Q.9 |
In a certain language, if "chi to le" means "We are citizen" and "chi to nu" means "We are nice", then what word represents the word "nice"? |
a) | NU |
b) | EE |
c) | TU |
d) | TO |
Q.10 |
If H.C.F. of two numbers is 68 and 85 is 17. What is the L.C.M. of two numbers? |
a) | 340 |
b) | 350 |
c) | 360 |
d) | 370 |
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Answers to Sample Questions from Olympiad Success:
Q.1 : c | Q.2 : b | Q.3 : b | Q.4 : a | Q.5 : c | Q.6 : d | Q.7 : a | Q.8 : a | Q.9 : a | Q.10 : a