Q.1 |
Look at the image given below and find OP. |
a) |
5 cm |
b) | 6 cm |
c) | 7 cm |
d) | 4 cm |
Q.2 |
The value of x such that AB = BC where A = (6, -1), B = (1, 3) and C = (x, 8) is: |
a) |
5 or 0 |
b) | 4 or -2 |
c) | 5 or -3 |
d) | None of the above |
Q.3 |
What is the length of the largest rod that can be put in a box of inner dimensions 30 cm, 24 cm and 18 cm? |
a) |
20 √2 cm |
b) | 50 cm |
c) | 60 cm |
d) | 30 √2 cm |
Q.4 |
Find the equation of the straight line joining the points of intersection of 2x + y = 4 with x - y + 1 = 0 and 2x - y - 1 = 0 with x + y - 8 = 0. |
a) | x + 2y = 3 |
b) | x + 2y + 3 = 0 |
c) | x - 2y + 3 = 0 |
d) | 3x - 2y + 1 = 0 |
Q.5 |
Find x and y in the following figure: |
a) |
38⁰, 52⁰ |
b) | 20⁰, 60⁰ |
c) | 52⁰, 60⁰ |
d) | None of these |
Q.6 |
What is the relation between me and my paternal grandfather's son-in-law? |
a) | brother |
b) | maternal uncle |
c) | maternal grandfather |
d) | paternal uncle |
Q.7 |
If a circular metal sheet is 0.65 cm thick and of 50 cm in diameter is melted and recast into cylindrical bar with 8 cm diameter then length of bar will be: |
a) |
25.41 cm |
b) | 35.41 cm |
c) | 40.41 cm |
d) | 25.39 cm |
Q.8 |
The LCM of two number is 495 and their HCF is 5. If the sum of the number is 100, then find the difference of the number. |
a) |
10 |
b) | 46 |
c) | 70 |
d) | 90 |
Q.9 |
The length of tangents drawn from an external point to a circle are ______. |
a) | equal |
b) | unequal |
c) | always 3 times the other |
d) | always 9 times the other |
Q.10 |
Identify the identical figures from the following options. |
a) |
(1,7,9), (2,5,6), (3,4,8) |
b) | (1,5,9), (2,6,7), (3,4,8) |
c) | (1,7,8), (2,5,6), (3,4,9) |
d) | (1,2,9), (5,6,7), 3,4,8 |
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Answers to Sample Questions from Olympiad Success:
Q.1 : c | Q.2 : c | Q.3 : d | Q.4 : d | Q.5 : c | Q.6 : d | Q.7 : d | Q.8 : a | Q.9 : a | Q.10 : a