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E:\Working\Focus_Learning\Math_Genius-8\Open_Files\15_Chapter_11\Chapter_11
\ 06-Jan-2025 Bharat Arora Proof-7 Reader’s Sign _______________________ Date __________

Chapter assessment

a. Choose the correct option.
n
1. In a , n is known as
(a) base (b) constant (c) exponent (d) variable
2. The number 5 can be written as
–2
1 1 −2
(a) 25 (b) (c) (d)
5 2 5 − 2 5
–6
3. The value of 2 ÷ 2 is
5
(a) 2 5 (b) 2 –6 (c) 2 –11 (d) 2 11
 1 − 1
4. The reciprocal of   is
 2
(a) 2 (b) 1 (c) − 1 (d) –2
2 2
4
12
5. For a non-zero integer x, x ÷ x is equal to
(a) x 16 (b) x 8 (c) x –8 (d) x –16
6. The standard form for 0.00000064 is
(a) 64 × 10 8 (b) 6.4 × 10 8 (c) 6.4 × 10 –8 (d) 6.4 × 10 –7
–5
7. The usual form of 5.05 × 10 is
(a) 0.505 (b) 0.0000505 (c) 5050000 (d) 0.000505

–1
8. The number by which  1 − 3 should be divided so that the quotient may be equal to (60) is
 
2

2 −5
(a) (b) 140 (c) (d) 480
9 8
B. assertion and Reason type Questions.
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 the correct explanation of Assertion
(A).

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the 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.
1. Assertion (A): a × b is equal to (ab) .
m
m
m
Reason (R): In multiplication of powers, multiply the bases if the exponent is same.
7
2. Assertion (A): 3.5 × 10 is equal to 35000000.
Reason (R): An exponent refers to the number of times a number is multiplied by itself.
C. Fill in the blanks.
−  1
–x
1. If 2 (3x + 4) = 2 , then x = .................. . 2. The value of    2   4 = .................. .
 1 − 3  1 
6  = .................. .
3. The value of   is .................. . 4. The value of   2 
4

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