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Question (21)

QN0018380

In the “Stones that Shine” story, the total number of rooms is:

(A) 81
(B) 243
(C) 729
(D) 27

Correct Answer: A

Explanation:

Number of rooms = 3⁴ = 81.

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Question (22)

QN0018381

In the same story, the total number of diamonds is represented by:

(A) 3⁵
(B) 3⁶
(C) 3⁷
(D) 3⁸

Correct Answer: C

Explanation:

Total diamonds = 3⁷.

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Question (23)

QN0018382

What is the value of 3⁷?

(A) 729
(B) 2187
(C) 6561
(D) 243

Correct Answer: B

Explanation:

3⁷ = 2187.

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Question (24)

QN0018383

Which rule is illustrated by p⁴ × p⁶ = p¹⁰?

(A) nᵃ × nᵇ = nᵃᵇ
(B) nᵃ × nᵇ = nᵃ⁺ᵇ
(C) nᵃ ÷ nᵇ = nᵃ⁻ᵇ
(D) (nᵃ)ᵇ = nᵃ⁺ᵇ

Correct Answer: B

Explanation:

Exponents are added when bases are the same.

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Question (25)

QN0018384

What is the value of 2⁹?

(A) 256
(B) 512
(C) 1024
(D) 2048

Correct Answer: B

Explanation:

2⁹ = 512.

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Question (26)

QN0018385

What is the value of 5⁷?

(A) 15625
(B) 31250
(C) 78125
(D) 390625

Correct Answer: C

Explanation:

5⁷ = 78125.

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Question (27)

QN0018386

Which expression is equal to 4⁶?

(A) (4²)²
(B) (4³)²
(C) (4⁴)²
(D) (4⁵)²

Correct Answer: B

Explanation:

(4³)² = 4⁶.

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Question (28)

QN0018387

According to the magical pond problem, if the pond is fully covered on the 30th day, it was half covered on:

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

Correct Answer: C

Explanation:

Doubling each day means the previous day was half full.

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Question (29)

QN0018388

If a pond doubles its lotuses daily and is fully covered on day 30, the number of lotuses on day 29 is:

(A) 2³⁰
(B) 2²⁹
(C) 2²⁸
(D) 2³¹

Correct Answer: B

Explanation:

Half the final count = 2²⁹.

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Question (30)

QN0018389

What is the value of 2⁵ × 5⁵?

(A) 10⁷
(B) 10⁵
(C) 50⁵
(D) 15625

Correct Answer: B

Explanation:

2⁵ × 5⁵ = (2×5)⁵ = 10⁵.

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Question (21)

In the “Stones that Shine” story, the total number of rooms is:

Explanation:

Link:

Question (22)

In the same story, the total number of diamonds is represented by:

Explanation:

Link:

Question (23)

What is the value of 3⁷?

Explanation:

Link:

Question (24)

Which rule is illustrated by p⁴ × p⁶ = p¹⁰?

Explanation:

Link:

Question (25)

What is the value of 2⁹?

Explanation:

Link:

Question (26)

What is the value of 5⁷?

Explanation:

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Question (27)

Which expression is equal to 4⁶?

Explanation:

Link:

Question (28)

According to the magical pond problem, if the pond is fully covered on the 30th day, it was half covered on:

Explanation:

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Question (29)

If a pond doubles its lotuses daily and is fully covered on day 30, the number of lotuses on day 29 is:

Explanation:

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Question (30)

What is the value of 2⁵ × 5⁵?

Explanation:

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