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Question (1)

QN0029293

The thickness of a paper is 0.001 cm. If it is folded 8 times, what will be its thickness?

(A) 0.128 cm
(B) 0.256 cm
(C) 0.512 cm
(D) 1.024 cm

Correct Answer: B

Explanation:

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Question (2)

QN0029294

Which of the following correctly represents a × a × a × a × a in exponential form?

(A) a⁴
(B) 5a
(C) a⁵
(D) a⁶

Correct Answer: C

Explanation:

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Question (3)

QN0029295

In the expression 7⁴, the number 7 is called the

(A) exponent
(B) power
(C) base
(D) factor

Correct Answer: C

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Question (4)

QN0029296

What is the value of 2⁶?

(A) 32
(B) 64
(C) 128
(D) 256

Correct Answer: B

Explanation:

2 × 2 × 2 × 2 × 2 × 2 = 64.

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Question (5)

QN0029297

Express 3600 as the product of prime factors in exponential form.

(A) 2³ × 3² × 5²
(B) 2⁴ × 3² × 5²
(C) 2⁴ × 3³ × 5
(D) 2² × 3² × 5³

Correct Answer: B

Explanation:

3600 = 2⁴ × 3² × 5².

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Question (6)

QN0029298

Simplify 3⁵ × 3⁴.

(A) 3¹
(B) 3⁹
(C) 3²⁰
(D) 6⁹

Correct Answer: B

Explanation:

Add the exponents: 5 + 4 = 9.

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Question (7)

QN0029299

Which law of exponents is used in 5⁷ ÷ 5² = 5⁵?

(A) Product of powers
(B) Quotient of powers
(C) Power of a power
(D) Zero exponent law

Correct Answer: B

Explanation:

When dividing powers with the same base, subtract the exponents.

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Question (8)

QN0029300

Find the value of (2³)⁴.

(A) 2⁷
(B) 2¹²
(C) 8⁴ only
(D) 4098

Correct Answer: B

Explanation:

Multiply the exponents: 3 × 4 = 12.

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Question (9)

QN0029301

If a pond becomes completely covered with lotuses on the 30th day and the number of lotuses doubles every day, on which day was it half covered?

(A) 15th day
(B) 28th day
(C) 29th day
(D) 30th day

Correct Answer: C

Explanation:

Since the lotuses double each day, the pond was half full one day earlier.

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Question (10)

QN0029302

How many different passwords are possible using a 5-digit lock where each digit can be 0–9?

(A) 10,000
(B) 50,000
(C) 1,00,000
(D) 10,00,000

Correct Answer: C

Explanation:

Total passwords = 10 × 10 × 10 × 10 × 10 = 10⁵ = 1,00,000.

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Question (1)

The thickness of a paper is 0.001 cm. If it is folded 8 times, what will be its thickness?

Explanation:

Link:

Question (2)

Which of the following correctly represents a × a × a × a × a in exponential form?

Explanation:

Link:

Question (3)

In the expression 7⁴, the number 7 is called the

Explanation:

Link:

Question (4)

What is the value of 2⁶?

Explanation:

Link:

Question (5)

Express 3600 as the product of prime factors in exponential form.

Explanation:

Link:

Question (6)

Simplify 3⁵ × 3⁴.

Explanation:

Link:

Question (7)

Which law of exponents is used in 5⁷ ÷ 5² = 5⁵?

Explanation:

Link:

Question (8)

Find the value of (2³)⁴.

Explanation:

Link:

Question (9)

If a pond becomes completely covered with lotuses on the 30th day and the number of lotuses doubles every day, on which day was it half covered?

Explanation:

Link:

Question (10)

How many different passwords are possible using a 5-digit lock where each digit can be 0–9?

Explanation:

Link:

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