Q.1 |
What is the relation between my daughter and my mother's sister's father-in-law? |
a) |
father |
b) | grandfather |
c) | great grandchild |
d) | niece |
Q.2 |
The median of the triangle ABC meets at point G, which of these is not true? |
a) |
Area of triangle AGC = Area of triangle BGC |
b) | Area of triangle AGC = Area of triangle AGB |
c) | Area of triangle AGC = (1/3) Area of triangle ABC |
d) | None of these |
Q.3 |
If x = sin²θ and y = cos²θ +1, then find the value of x + y. |
a) |
0 |
b) | 1 |
c) | 2 |
d) | 3 |
Q.4 |
A container has milk and water in the ratio 4: 1. The volume of the contents is increased by 40% by adding water to it. From this solution, 5 L are drawn out and replaced with 5 L of milk. If the solution now has five parts milk and three parts water, find the initial volume of the container. |
a) |
28.56 L |
b) | 14.28 L |
c) | 15 L |
d) | 24 L |
Q.5 |
If A, B, D are 3 points in a ground. A is to the West of B, B is to the North of D, and D is to the South-East of A, what angles does BAD make? |
a) | 180 |
b) | 125 |
c) | 90 |
d) | 45 |
Q.6 |
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.7 |
If you stand at the centre, and face towards South. Now you move at an angle of 100 degrees clockwise, then in which direction do you face now? |
a) |
North |
b) | South |
c) | North-West |
d) | South-West |
Q.8 |
If 4th and 8th terms of an A.P. are 11 and 23 respectively, find a and d. |
a) | a = 2, d = 3 |
b) | a = 2, d = 2 |
c) | a = 3, d = 3 |
d) | a = 1, d = 3 |
Q.9 |
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.10 |
Find the perimeter of ΔPQR. |
a) |
16 cm |
b) | 26 cm |
c) | 28 cm |
d) | 65 cm |
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Answers to Sample Questions from Olympiad Success:
Q.1 : c | Q.2 : d | Q.3 : c | Q.4 : a | Q.5 : d | Q.6 : b | Q.7 : c | Q.8 : a | Q.9 : a | Q.10 : c