SCAT Mathematical Reasoning: Number Properties 2 — Questions and Answers
Question 1: What is the least common multiple (LCM) of 4 and 6?
- 8
- 12 (Correct answer)
- 24
- 6
Correct answer: 12
The LCM of 4 and 6 is 12 because 12 is the smallest number divisible by both 4 and 6.
Question 2: Which number is a common factor of both 18 and 24?
- 5
- 8
- 6 (Correct answer)
- 9
Correct answer: 6
6 divides evenly into both 18 (18 ÷ 6 = 3) and 24 (24 ÷ 6 = 4).
Question 3: A number is divisible by 9 if:
- Its last digit is 9
- The sum of its digits is divisible by 9 (Correct answer)
- It is divisible by 3 only
- It ends in 0 or 9
Correct answer: The sum of its digits is divisible by 9
The divisibility rule for 9 states that if the sum of all digits is divisible by 9, the whole number is too.
Question 4: What is the greatest common factor (GCF) of 12 and 18?
- 3
- 6 (Correct answer)
- 9
- 12
Correct answer: 6
The factors of 12 are 1, 2, 3, 4, 6, 12 and of 18 are 1, 2, 3, 6, 9, 18; the greatest common factor is 6.
Question 5: Which of the following is NOT a multiple of 7?
- 28
- 42
- 49
- 54 (Correct answer)
Correct answer: 54
54 ÷ 7 = 7.7…, so 54 is not a multiple of 7; the others (28, 42, 49) are all divisible by 7.
Question 6: How many factors does the number 16 have?
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
The factors of 16 are 1, 2, 4, 8, and 16, giving a total of 5 factors.
Question 7: Which number is divisible by both 3 and 4?
- 14
- 18
- 20
- 24 (Correct answer)
Correct answer: 24
24 ÷ 3 = 8 and 24 ÷ 4 = 6, so 24 is divisible by both 3 and 4.
SCAT Mathematical Reasoning: Number Properties 2
What is the least common multiple (LCM) of 4 and 6?