Page 16 - Mathematics Class - IX

MCQs

1. Which one of the following is an irrational number?

a) 23. b) 3.141592654... c) 1.375 d) 9233.
1
2. To rationalise a denominator of , we multiply it by
x + y

1 1 1 x − y
a) b) c) d)
x + y x − y x − y x − y

1 4
3. If = 0142857. , then equals
7 7

a) 0 428571. b) 0 857142. c) 0 285718. d) 0 571428.

4. The Pythagorean triplet for 5 is
a) ( 21,, 3 b) ( 5, 4 1, ) c) ( 5, 2 1, ) d) (2, 2, 1)
)

1
5. If 10 = 3 162. , then the value of is
10

a) 0.31626 b) 316.2 c) 31.62 d) 3.162

x − y
Answers: 1. b) 3.141592654... 2. d) 3. d) 0 571428.
x − y

4. b) ( 5, 4 1, ) 5. a) 0.31626

Case-Study Based Questions
Case-Study Based Questions

In a city, there is a big park near Dhruv’s home. This park has different
types of trees, flower plants. One day, one big tree broke due to heavy rain C
and storm as shown in the given figure. The height of the broken part is 5 m
and the top of the broken part touches the ground at a distance of 12 m away 5
from the foot of the tree.

Now answer the following questions. A 12 B
1. What is the length of the broken part of the tree?
(a) 11 m (b) 7 m (c) 13 m (d) 15 m

2. What is the total height of the tree?
(a) 18 m (b) 25 m (c) 17 m (d) 13 m

3. If the height of the unbroken part of the tree is 8 m then find the distance between the top and the base
(foot) of the tree.
(a) 10 m (b) 6 m (c) 7 m (d) 5 m

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