EWT | Academic Question

Questions
Question (1)
QN0018920
Which of the following numbers can be written as a sum of two consecutive natural numbers?
  • (A) 12
  • (B) 15
  • (C) 18
  • (D) 20

Correct Answer: B
Explanation:

15 = 7 + 8.

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Question (2)
QN0018921
Which of the following is a sum of four consecutive natural numbers?
  • (A) 22
  • (B) 24
  • (C) 26
  • (D) 28

Correct Answer: A
Explanation:

4 + 5 + 6 + 7 = 22.

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Question (3)
QN0018922
The sum of four consecutive numbers is 34. What is the smallest number?
  • (A) 6
  • (B) 7
  • (C) 8
  • (D) 9

Correct Answer: B
Explanation:

7 + 8 + 9 + 10 = 34.

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Question (4)
QN0018923
If p is the greatest among five consecutive numbers, the smallest number is:
  • (A) p – 3
  • (B) p – 4
  • (C) p – 5
  • (D) p – 6

Correct Answer: B
Explanation:

The five numbers are p – 4, p – 3, p – 2, p – 1 and p.

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Question (5)
QN0018924
Which expression represents all numbers leaving remainder 3 when divided by 5?
  • (A) 3k + 5
  • (B) 5k + 3
  • (C) 5k – 3
  • (D) 3k – 5

Correct Answer: B
Explanation:

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Question (6)
QN0018925
Numbers of the form 5k + 3 leave a remainder of:
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4

Correct Answer: C
Explanation:

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Question (7)
QN0018926
If a number leaves remainder 2 when divided by 3 and by 4, then the smallest such number is:
  • (A) 10
  • (B) 12
  • (C) 14
  • (D) 18

Correct Answer: C
Explanation:

14 leaves remainder 2 on division by both 3 and 4.

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Question (8)
QN0018927
Which algebraic expression represents all numbers leaving remainder 2 when divided by both 3 and 4?
  • (A) 12n + 2
  • (B) 7n + 2
  • (C) 6n + 2
  • (D) 24n + 4

Correct Answer: A
Explanation:

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Question (9)
QN0018928
A number leaves remainder 3 when divided by 5. Which of the following is such a number?
  • (A) 17
  • (B) 18
  • (C) 19
  • (D) 20

Correct Answer: B
Explanation:

18 ÷ 5 leaves remainder 3.

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Question (10)
QN0018929
Which statement is correct?
  • (A) Every even number can be written as a sum of two consecutive numbers.
  • (B) Every odd number can be written as a sum of two consecutive numbers.
  • (C) Every odd number can be written as a sum of three consecutive numbers.
  • (D) No odd number can be written as a sum of consecutive numbers.

Correct Answer: B
Explanation:

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