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Classify √45 as rational or irrational.
Correct answer(s):
- Irrational
Choose all the prime numbers from the list: 57, 61, 77, 89.
Correct answer(s):
- 61
- 89
Calculate the highest common factor (HCF) of 84, 126, and 210.
Correct answer(s):
- 42
Find the least common multiple (LCM) of 18 and 24.
Correct answer(s):
- 72
Determine whether the number 2,728 is divisible by 11.
Correct answer(s):
- Divisible by 11
Find the value of the digit 5 in the number 83,547.
Correct answer(s):
- 500
Find the remainder when 10^7 + 10^5 + 10^3 + 10 is divided by 9.
Correct answer(s):
- 4
Given two positive integers a and b with GCD(a,b) = 6 and LCM(a,b) = 180, and a = 36, find b.
Correct answer(s):
- 30
Express 7/12 as a decimal (up to the repeating part) and identify whether it is terminating or repeating.
Correct answer(s):
- 0.5833... (repeating 3)
If the prime factorization of n is 2^3 × 3^2 × 5, what is the number of positive divisors of n?
Correct answer(s):
- 24
Which of the following numbers is an irrational number
Correct answer(s):
- √3
Find all digits x (0–9) such that the three-digit number 2×4 is divisible by both 3 and 4.
Correct answer(s):
- 0
- 6
Express 0.36 repeating (0.36) as a fraction in simplest form.
Correct answer(s):
- 4/11
Select all prime numbers from the set: 91, 97, 143, 151.
Correct answer(s):
- 97
- 151
Find the least common multiple (LCM) of 84 and 90.
Correct answer(s):
- 1260
Find the greatest common divisor (GCD) of 792 and 660.
Correct answer(s):
- 132
Select the correct pair (HCF, LCM) for the numbers 8 and 12
Correct answer(s):
- (4, 24)
Calculate the value of (-5) × (-8) + (-3)
Correct answer(s):
- 37
Which decimal equals the fraction 7/9
Correct answer(s):
- 0.777...
Find 15 percent of 240
Correct answer(s):
- 36