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Question (1)

QN0033427

Which of the following numbers can be arranged in only one rectangular array (excluding reversal)?

(A) 14
(B) 21
(C) 29
(D) 35

Correct Answer: C

Explanation:

29 is a prime number, so it has only one factor pair: 1 × 29.

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Question (2)

QN0033428

A hidden machine multiplies each input by the same number. If the outputs are 18, 30, 42 and 54, which of the following could be the multiplier?

(A) 5
(B) 6
(C) 8
(D) 9

Correct Answer: B

Explanation:

All the given outputs are divisible by 6.

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Question (3)

QN0033429

Which number is both a factor of 18 and a multiple of 3?

(A) 4
(B) 6
(C) 8
(D) 10

Correct Answer: B

Explanation:

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

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Question (4)

QN0033430

A squirrel jumps 5 steps at a time and a monkey jumps 7 steps at a time. What is the first number greater than 20 that both will touch?

(A) 25
(B) 30
(C) 35
(D) 40

Correct Answer: C

Explanation:

Common multiples of 5 and 7 are 35, 70, ...

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Question (5)

QN0033431

Which of the following pairs has the greatest common factor equal to 5?

(A) 10 and 25
(B) 15 and 35
(C) 20 and 30
(D) 25 and 40

Correct Answer: B

Explanation:

The common factors of 15 and 35 are 1 and 5 only.

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Question (6)

QN0033432

A number has factors 1, 2, 4, 8 and 16. What is the number?

(A) 8
(B) 12
(C) 16
(D) 32

Correct Answer: C

Explanation:

16 is divisible by all these numbers.

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Question (7)

QN0033433

Which of the following numbers is divisible by both 6 and 8?

(A) 36
(B) 42
(C) 48
(D) 54

Correct Answer: C

Explanation:

48 is a common multiple of 6 and 8.

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Question (8)

QN0033434

A rabbit lands on 6, 12, 18, 24, ... . What is the rabbit's jump length?

(A) 2
(B) 3
(C) 6
(D) 12

Correct Answer: C

Explanation:

The difference between consecutive numbers is 6.

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Question (9)

QN0033435

Which number is not divisible by either 2 or 5?

(A) 35
(B) 48
(C) 63
(D) 90

Correct Answer: C

Explanation:

63 is neither even nor does it end in 0 or 5.

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Question (10)

QN0033436

If a number has exactly three factor pairs, how many factors does it have?

(A) 3
(B) 4
(C) 5
(D) 6

Correct Answer: D

Explanation:

Three factor pairs mean a total of 6 factors.

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Question (1)

Which of the following numbers can be arranged in only one rectangular array (excluding reversal)?

Explanation:

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Question (2)

A hidden machine multiplies each input by the same number. If the outputs are 18, 30, 42 and 54, which of the following could be the multiplier?

Explanation:

Link:

Question (3)

Which number is both a factor of 18 and a multiple of 3?

Explanation:

Link:

Question (4)

A squirrel jumps 5 steps at a time and a monkey jumps 7 steps at a time. What is the first number greater than 20 that both will touch?

Explanation:

Link:

Question (5)

Which of the following pairs has the greatest common factor equal to 5?

Explanation:

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Question (6)

A number has factors 1, 2, 4, 8 and 16. What is the number?

Explanation:

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Question (7)

Which of the following numbers is divisible by both 6 and 8?

Explanation:

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Question (8)

A rabbit lands on 6, 12, 18, 24, ... . What is the rabbit's jump length?

Explanation:

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Question (9)

Which number is not divisible by either 2 or 5?

Explanation:

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Question (10)

If a number has exactly three factor pairs, how many factors does it have?

Explanation:

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