Given that HCF(a, b) = 6, LCM(a, b) = 180, and a = 54, find b.
Correct answer(s):
- 20
Subject
Arithmetic & Number System
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Quizzes in Arithmetic & Number System for HSC
What is the remainder when 2,345,678 is divided by 9
Correct answer(s):
- 8
Express the repeating decimal 0.363636… (with ’36’ repeating) as a fraction in simplest form.
Correct answer(s):
- 4/11
Which of the following are rational numbers: pi, 5, 0.333…, 0.272727… ?
Correct answer(s):
- 5
- 0.333...
- 0.272727...
Select all prime numbers from the list: 53, 57, 59, 61, 67, 69, 71, 73.
Correct answer(s):
- 53
- 59
- 61
- 67
- 71
- 73
Select all the numbers from the list that are divisible by 9: 81, 234, 567, 725.
Correct answer(s):
- 81
- 234
- 567
Calculate the least common multiple (LCM) of 36 and 84.
Correct answer(s):
- 252
Find the value of the digit 7 in the number 507,032.
Correct answer(s):
- 7,000
Select all prime numbers from the following list.
Correct answer(s):
- 29
- 61
Which fraction is equal to the repeating decimal 0.142857142857…?
Correct answer(s):
- 1/7
How many digits are there in 2^50 when written in base 10
Correct answer(s):
- 16
Find the remainder when 2^100 is divided by 3.
Correct answer(s):
- 1
Express 0.363636… as a fraction in simplest form.
Correct answer(s):
- 4/11
Find the highest common factor (HCF) of 84 and 126.
Correct answer(s):
- 42
Which of the following numbers is irrational
Correct answer(s):
- √2
Select all numbers that are divisible by 9 from the list below.
Correct answer(s):
- 18
- 270
Find the least common multiple (LCM) of 18 and 30.
Correct answer(s):
- 90
Find the value of the digit 7 in the number 4,729,305.
Correct answer(s):
- 700,000
Which of the following is greater: 0.(2) (that is 0.222…) or 1/4
Correct answer(s):
- 1/4 Is Greater
How many positive divisors does 3^4 × 7^2 × 11 have
Correct answer(s):
- 30