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Question (11)
QN0029303
Simplify 10⁻³ × 10⁷.
  • (A) 10⁴
  • (B) 10⁻⁴
  • (C) 10¹⁰
  • (D) 10³

Correct Answer: A
Explanation:

Add the exponents: –3 + 7 = 4.

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Question (12)
QN0029304
What is the value of 5⁰?
  • (A) 0
  • (B) 1
  • (C) 5
  • (D) Not defined

Correct Answer: B
Explanation:

Any non-zero number raised to the power 0 equals 1.

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Question (13)
QN0029305
Which of the following is equal to 2⁻⁴?
  • (A) 16
  • (B) 1/4
  • (C) 1/16
  • (D) –16

Correct Answer: C
Explanation:

2⁻⁴ = 1/2⁴ = 1/16.

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Question (14)
QN0029306
Which number is written correctly in scientific notation?
  • (A) 45.6 × 10³
  • (B) 0.56 × 10⁵
  • (C) 4.56 × 10⁴
  • (D) 56 × 10²

Correct Answer: C
Explanation:

In scientific notation, the coefficient must be at least 1 but less than 10.

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Question (15)
QN0029307
Write 7,20,000 in scientific notation.
  • (A) 72 × 10⁴
  • (B) 7.2 × 10⁵
  • (C) 0.72 × 10⁶
  • (D) 720 × 10³

Correct Answer: B
Explanation:

7,20,000 = 7.2 × 10⁵.

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Question (16)
QN0029308
A school uses a 6-digit numerical security code. Each digit can be any number from 0 to 9. How many different codes are possible?
  • (A) 10⁵
  • (B) 10⁶
  • (C) 6¹⁰
  • (D) 10⁷

Correct Answer: B
Explanation:

Total codes = 10 × 10 × 10 × 10 × 10 × 10 = 10⁶.

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Question (17)
QN0029309
Which type of growth occurs when a quantity doubles after equal intervals of time?
  • (A) Linear growth
  • (B) Exponential growth
  • (C) Uniform growth
  • (D) Arithmetic growth

Correct Answer: B
Explanation:

Doubling repeatedly represents exponential growth.

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Question (18)
QN0029310
Which statement about linear growth is correct?
  • (A) The quantity is multiplied by a fixed factor each time.
  • (B) The quantity increases by a fixed amount each time.
  • (C) The quantity always doubles.
  • (D) The quantity always triples.

Correct Answer: B
Explanation:

Linear growth means adding a fixed amount at each step.

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Question (19)
QN0029311
Simplify 8⁹ ÷ 8⁴.
  • (A) 8¹³
  • (B) 8⁵
  • (C) 8⁻⁵
  • (D) 64⁵

Correct Answer: B
Explanation:

Subtract the exponents: 9 – 4 = 5.

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Question (20)
QN0029312
Which of the following correctly represents the number 308100000 in scientific notation?
  • (A) 30.81 × 10⁷
  • (B) 3.081 × 10⁸
  • (C) 308.1 × 10⁶
  • (D) 0.3081 × 10⁹

Correct Answer: B
Explanation:

Move the decimal point so the coefficient lies between 1 and 10: 308100000 = 3.081 × 10⁸.

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