Q.1 |
In the given figure, if AB = AC & BD = DC, find the measure of ∠ADC. |
a) | 60° |
b) | 120° |
c) | 90° |
d) | 110° |
Q.2 |
If X, Y, Z are three points on a line and Y lies between X and Z, which of the following is true? |
a) |
1/2(XY + YZ) = XZ. |
b) | XY + XZ = YZ. |
c) | XZ + YZ = XY. |
d) | XY + YZ = XZ. |
Q.3 |
What is the rationalizing factor of 5√(a2b3c4? |
a) | 5√a3b2c |
b) | 4√a3b2c |
c) | 3√a3b2c |
d) | √a3b2c |
Q.4 |
The first term in a sequence is 1 and the second term is 5. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 25th term in the sequence? |
a) | 3 |
b) | 5 |
c) | 2.5 |
d) | None of these |
Q.5 |
If lines AB and CD intersect as shown below, find the value of angle x. |
a) | 85° |
b) | 25° |
c) | 38° |
d) | 54° |
Q.6 |
In ∆ PQR, the angle bisectors of ∠PQR & ∠PRQ meet at O. |
a) | 80° |
b) | 130° |
c) | 100° |
d) | 90° |
Q.7 |
The numbers 1 to 15 are written on 15 pieces of paper and dropped into a box. Three of them are drawn at random. What is the probability that the three pieces of paper picked have numbers that are in arithmetic progression? |
a) | 1.528 |
b) | 0.158 |
c) | 0.116 |
d) | 0.107 |
Q.8 |
The median of given observations arranged in ascending order is 25. ![]() |
a) |
22 |
b) | 24 |
c) | 21 |
d) | 26 |
Q.9 |
Find the coordinates of points which lies on x-axis at a distance of 4 units from origin in the positive direction of x-axis. |
a) | (0, 4) |
b) | (-4, 0) |
c) | (0, -4) |
d) | (4, 0) |
Q.10 |
If (3, 4) is a solution of the equation 5x - 2y = k, find the value of k. |
a) | 7 |
b) | 6 |
c) | 5 |
d) | 4 |
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Answers to Sample Questions from Olympiad Success:
Q.1 : c | Q.2 : d | Q.3 : a | Q.4 : a | Q.5 : b | Q.6 : b | Q.7 : d | Q.8 : a | Q.9 : d | Q.10 : a