EWT | Academic Question

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Question (31)
QN0018950
Which of the following leaves remainder 3 when divided by 5?
  • (A) 22
  • (B) 23
  • (C) 24
  • (D) 25

Correct Answer: B
Explanation:

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Question (32)
QN0018951
Which expression can also generate numbers leaving remainder 3 when divided by 5?
  • (A) 5k – 2
  • (B) 5k + 1
  • (C) 5k – 1
  • (D) 5k + 2

Correct Answer: A
Explanation:

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Question (33)
QN0018952
For k = 4, the value of 5k + 3 is:
  • (A) 20
  • (B) 21
  • (C) 22
  • (D) 23

Correct Answer: D
Explanation:

5 × 4 + 3 = 23.

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Question (34)
QN0018953
For k = 5, the value of 5k – 2 is:
  • (A) 21
  • (B) 22
  • (C) 23
  • (D) 24

Correct Answer: C
Explanation:

5 × 5 – 2 = 23.

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Question (35)
QN0018954
The smallest number leaving remainder 2 when divided by 3, remainder 3 when divided by 4, and remainder 4 when divided by 5 is:
  • (A) 55
  • (B) 57
  • (C) 59
  • (D) 61

Correct Answer: C
Explanation:

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Question (36)
QN0018955
Why is 59 the smallest number satisfying the previous condition?
  • (A) It is one more than 60
  • (B) It is one less than 60
  • (C) It is a multiple of 60
  • (D) It is prime

Correct Answer: B
Explanation:

60 is the LCM of 3, 4 and 5, so 59 = 60 – 1.

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Question (37)
QN0018956
Three numbers each leave remainder 2 when divided by 6. Their sum will always be:
  • (A) Remainder 2 on division by 6
  • (B) Remainder 4 on division by 6
  • (C) Multiple of 6
  • (D) Odd

Correct Answer: C
Explanation:

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Question (38)
QN0018957
If 661 leaves remainder 3 when divided by 7 and 4779 leaves remainder 5 when divided by 7, then 4779 + 661 leaves remainder:
  • (A) 0
  • (B) 1
  • (C) 2
  • (D) 3

Correct Answer: B
Explanation:

5 + 3 = 8, and 8 leaves remainder 1 when divided by 7.

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Question (39)
QN0018958
If 661 leaves remainder 3 when divided by 7 and 4779 leaves remainder 5 when divided by 7, then 4779 – 661 leaves remainder:
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4

Correct Answer: B
Explanation:

5 – 3 = 2.

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Question (40)
QN0018959
Which of the following numbers can be expressed as 12n + 2 for some whole number n?
  • (A) 26
  • (B) 27
  • (C) 28
  • (D) 30

Correct Answer: A
Explanation:

26 = 12 × 2 + 2.

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