Quantitative Aptitude ยท Mathematics

HCF and LCM

215 Questions

Improve your quantitative aptitude speed by solving these HCF and LCM questions. The problems involve finding the highest common factor and least common multiple for sets of numbers. These calculations form a core part of the mathematics section in SSC, banking, and railway recruitment exams.

Finding HCFFinding LCMGreatest common factorLeast common multipleNumber properties

HCF and LCM Questions

Multiple choice

What is the least common multiple (LCM) of 4 and 6?

  1. 8

  2. 12

  3. 16

  4. 24
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The least common multiple (LCM) of two numbers is the smallest number that is divisible by both numbers. The LCM of 4 and 6 is 12, because 12 is the smallest number that is divisible by both 4 and 6.

Multiple choice

What is the least common multiple (LCM) of 12 and 18?

  1. 36

  2. 54

  3. 72

  4. 90
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The least common multiple (LCM) of two integers is the smallest positive integer that is divisible by both integers. The LCM of 12 and 18 is 36 because 36 is the smallest positive integer that is divisible by both 12 and 18.

Multiple choice

Find the least common multiple (LCM) of 12 and 18.

  1. 36

  2. 54

  3. 72

  4. 90
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The least common multiple (LCM) of two numbers is the smallest positive integer that is divisible by both numbers. For 12 and 18, the LCM is 36.

Multiple choice

What is the formula for calculating F1 score?

  1. F1 score = 2 * (Precision * Recall) / (Precision + Recall)

  2. F1 score = (Precision + Recall) / 2

  3. F1 score = Precision * Recall

  4. F1 score = Precision / Recall
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

F1 score is calculated by taking the harmonic mean of precision and recall.

Multiple choice

What is the greatest common divisor (GCD) of 270 and 195?

  1. 15

  2. 30

  3. 45

  4. 60
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The GCD of 270 and 195 can be found using the Euclidean algorithm: 270 = 195 * 1 + 75; 195 = 75 * 2 + 45; 75 = 45 * 1 + 30; 45 = 30 * 1 + 15; 30 = 15 * 2 + 0. Therefore, the GCD is 15.