Page 313 - Math_Genius_V1.0_C8_Flipbook

E:\Working\Focus_Learning\Math_Genius-8\Open_Files\18_Unit Test_4\Unit Test_4
\ 03-Jan-2025 Bharat Arora Proof-3 Reader’s Sign _______________________ Date __________

Unit test – 4

A. Choose the correct option in Questions 1 to 10.

1. The multiplicative inverse of 2(4 – 1) is
0
1
(a) 0 (b) 2 (c) 2 (d) undefined

1
2. The value of is
2 − 2
1 1
(a) (b) 4 (c) –4 (d)
2 4
3. x and y vary inversely. When x = 5, y = 60, then the value of x when y = 12 is
(a) 20 (b) 25 (c) 30 (d) 40

4. A car needs 54 litres of petrol for covering a distance of 297 km. The petrol required by the
car to cover a distance of 550 km is
(a) 100 litres (b) 50 litres (c) 25 litres (d) 25.16 litres

5. The distance between the Earth and the Sun is 149 million kilometres, which can be written
in standard form as
(a) 1.49 × 10 8 (b) 14.9 × 10 8 (c) 149 × 106 (d) 149000000
6. If x be any non-zero integer, m be a positive integer and n be a negative integer, then
x × x is equal to
m
n
(a) x m + n (b) x mn (c) x –(m + n) (d) x m – n
7. The factorised form of x – 17x – 38 is
2
(a) (x – 19) (x – 2) (b) (x – 19) (x + 2) (c) (x + 19) (x – 2) (d) (x + 19) (x + 2)
8. The value of (x + y) – (x – y) is
2
2
(a) x – y 2 (b) x + y 2 (c) 4xy (d) –4xy
2
2
Directions (For Qs 9–10): In the following questions, a statement of Assertion (A) is followed
by a statement of Reason (R). Choose the correct option.

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of
Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation
of Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.

(d) Assertion (A) is false but Reason (R) is true.
9. Assertion (A): If 15 men can complete a work in 25 days, then 3 men will complete the same
work in 45 days.

Reason (R): Two quantities x and y are said to be in ‘direct proportion’ if they increase (or
decrease) together in such a manner that the ratio of their corresponding values
remains constant.

311