EWT | Academic Question

Questions
Question (11)
QN0033437
Which statement is always true for a prime number?
  • (A) It is even.
  • (B) It has more than four factors.
  • (C) It has exactly two factors.
  • (D) It is divisible by 10.

Correct Answer: C
Explanation:

Prime numbers have only 1 and the number itself as factors.

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Question (12)
QN0033438
The common factors of 14 and 49 are
  • (A) 1 and 7
  • (B) 1 and 14
  • (C) 1, 2 and 7
  • (D) 7 and 14

Correct Answer: A
Explanation:

Both 14 and 49 are divisible by 1 and 7.

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Question (13)
QN0033439
Which number is the smallest common multiple of 4, 5 and 10?
  • (A) 10
  • (B) 20
  • (C) 30
  • (D) 40

Correct Answer: B
Explanation:

20 is divisible by 4, 5 and 10.

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Question (14)
QN0033440
A kangaroo jumps every 8 steps. Which of the following positions will it never reach?
  • (A) 24
  • (B) 40
  • (C) 56
  • (D) 62

Correct Answer: D
Explanation:

62 is not a multiple of 8.

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Question (15)
QN0033441
Which pair of numbers are co-prime?
  • (A) 16 and 24
  • (B) 18 and 27
  • (C) 11 and 12
  • (D) 20 and 30

Correct Answer: C
Explanation:

11 and 12 have only 1 as a common factor.

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Question (16)
QN0033442
If 45 is arranged in arrays, which factor pair is possible?
  • (A) 4 × 11
  • (B) 5 × 9
  • (C) 6 × 7
  • (D) 8 × 5

Correct Answer: B
Explanation:

5 × 9 = 45.

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Question (17)
QN0033443
Which number is a common factor of 30, 45 and 60?
  • (A) 4
  • (B) 5
  • (C) 7
  • (D) 8

Correct Answer: B
Explanation:

5 divides 30, 45 and 60 exactly.

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Question (18)
QN0033444
A deer reaches numbers 9, 18, 27, 36, ... . Which statement is correct?
  • (A) The deer jumps by 6 steps.
  • (B) The deer touches multiples of 9.
  • (C) The deer touches only even numbers.
  • (D) The deer touches prime numbers only.

Correct Answer: B
Explanation:

All the numbers listed are multiples of 9.

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Question (19)
QN0033445
Which of the following numbers has the largest number of factors?
  • (A) 17
  • (B) 18
  • (C) 19
  • (D) 23

Correct Answer: B
Explanation:

Factors of 18 are 1, 2, 3, 6, 9 and 18.

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Question (20)
QN0033446
Two animals start from 0. One jumps by 2 steps and the other by 5 steps. Which number will both touch for the third time (excluding 0)?
  • (A) 10
  • (B) 20
  • (C) 30
  • (D) 40

Correct Answer: C
Explanation:

Common multiples of 2 and 5 are 10, 20, 30, ... The third common multiple is 30.

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