Q.1 |
A rectangular field which is twice as long as it is broad, has an area of 14450 m². What is it perimeter? |
a) |
85 m |
b) | 510 m |
c) | 165 m |
d) | 170 m |
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 |
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.4 |
Identify the identical figures from the following options. |
a) |
(1,2,5), (3,8,9), (4,6,7) |
b) | (1,2,5), (4,7,8), (5,6,9) |
c) | (1,2,5), (3,7,8), (4,6,9) |
d) | (1,3,5), (2,7,8) (4,6,9) |
Q.5 |
A cone of height 4 cm and radius 8 cm is reshaped by a child to form a sphere. Find the radius of the sphere. |
a) |
1 cm |
b) | 2 cm |
c) | 3 cm |
d) | 4 cm |
Q.6 |
From the top of a light house 60⁰ metre high, with its base at the sea level, the angle of depression of a boat is 30⁰. The distance of the boat from the foot of the light-house is: |
a) |
60√3 metres |
b) | 60/√3 metres |
c) | 60 metres |
d) | 30√2 metres |
Q.7 |
Find x and y in the following figure: |
a) |
38⁰, 52⁰ |
b) | 20⁰, 60⁰ |
c) | 52⁰, 60⁰ |
d) | None of these |
Q.8 |
Find the mean of first five odd natural numbers. |
a) | 3 |
b) | 5 |
c) | 7 |
d) | 9 |
Q.9 |
Find the area of cardboard needed to make a rectangular box 14 cm long, 9 cm wide and 7 cm high. |
a) |
574 m² |
b) | 504 m² |
c) | 520 m² |
d) | 584 m² |
Q.10 |
Find the distance of the intercept at the point of X-axis and the line 5x + 9y = 45 origin: |
a) |
5 units |
b) | 9 units |
c) | 5/9 units |
d) | 9/5 units |
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Answers to Sample Questions from Olympiad Success:
Q.1 : b | Q.2 : c | Q.3 : a | Q.4 : c | Q.5 : d | Q.6 : a | Q.7 : c | Q.8 : b | Q.9 : a | Q.10 : b