Q.1 |
The mean of 5 numbers is 18. If one number is excluded their mean is 16. Find the excluded number. |
a) | 25 |
b) | 26 |
c) | 27 |
d) | 28 |
Q.2 |
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.3 |
If α and β are the roots of the quadratic equation 2x2 + 6x + k = 0, where k < 0, then what is the maximum value of α/β + β/α? |
a) |
2 |
b) | -2 |
c) | 9 |
d) | -9 |
Q.4 |
Z and A are sisters. What is the relation between Z's husband and A? |
a) |
brother-in-law |
b) | brother |
c) | father |
d) | uncle |
Q.5 |
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 |
Q.6 |
Find the median of the following numbers: |
a) |
11 |
b) | 12 |
c) | 13 |
d) | 15 |
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 |
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.9 |
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.10 |
In a two digit number, the unit's digit exceeds the ten's digit by 2 and the product of the number and the sum of its digits is 144. Find the number. |
a) |
24 |
b) | 26 |
c) | 42 |
d) | 46 |
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Answers to Sample Questions from Olympiad Success:
Q.1 : b | Q.2 : a | Q.3 : d | Q.4 : a | Q.5 : a | Q.6 : b | Q.7 : d | Q.8 : c | Q.9 : c | Q.10 : a