Q.1 |
If f(x) = x² – 5x – 14, find the value of f(7). |
a) |
-1 |
b) | 1 |
c) | 0 |
d) | 3 |
Q.2 |
First term of an A.P. is –2 and 10th term is 28. What is the value of d (common difference)? |
a) |
10/3 |
b) | 10/9 |
c) | 10/6 |
d) | 10/4 |
Q.3 |
A sum of ₹ 24,000 is divided into two parts P1 and P2, such that the simple interest calculated on P1 for 3 year and on P2 for 4 years are equal. If the rates of interest on P1 and P2 are 4% and 5% respectively, then find the smaller of the parts P1 and P2. |
a) |
₹ 10,000 |
b) | ₹ 12,000 |
c) | ₹ 8000 |
d) | ₹ 9000 |
Q.4 |
In a certain language, if "chi to le" means "We are citizen" and "chi to nu" means "We are nice", then what word represents the word "nice"? |
a) | NU |
b) | EE |
c) | TU |
d) | TO |
Q.5 |
What is the probability of getting a total of less than 12 in the throws of two dice? |
a) | 16/36 |
b) | 25/36 |
c) | 35/36 |
d) | 26/36 |
Q.6 |
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.7 |
A tangent to a circle (centre O) drawn from an exterior point T to the circle and touches the circle at a point P on the circumference. Which of the following statement is TRUE? |
a) |
∠TPO > 90° |
b) | ∠TPO < 180° |
c) | ∠TPO < 90° |
d) | ∠TPO = 90° |
Q.8 |
The following question is based on the following alphabet series. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z |
a) |
N |
b) | L |
c) | P |
d) | None of these |
Q.9 |
Look at the image given below and find the value of ∠BTQ. |
a) |
30⁰ |
b) | 45⁰ |
c) | 75⁰ |
d) | 90⁰ |
Q.10 |
A paper is in the form of a square of side 20 cm. Semicircle are down inside the square paper on two sides as diameter. The semi-circular portions are cut off. Find the remaining paper. |
a) |
87 cm² |
b) | 86.3 cm² |
c) | 86 cm² |
d) | 85.7 cm² |
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Sample PDF of Humming Bird - Humming Bird Mathematics Olympiad (HMO) PDF Sample Papers for Class 10:
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Answers to Sample Questions from Olympiad Success:
Q.1 : c | Q.2 : a | Q.3 : d | Q.4 : a | Q.5 : c | Q.6 : c | Q.7 : d | Q.8 : a | Q.9 : c | Q.10 : d