Quantitative Aptitude Basics: Numbers u0026 Arithmetic Quiz Quiz

Sharpen your quantitative aptitude with these carefully crafted questions on numbers and arithmetic concepts. This quiz covers divisibility rules, prime numbers, LCM, HCF, and basic operations, designed to enhance problem-solving skills for competitive exams and daily reasoning.

1. Divisibility Rules

   Which of the following numbers is divisible by both 3 and 4: 132, 134, 135, or 136?

   1. 134
   2. 132
   3. 136
   4. 135

   Explanation: 132 is divisible by both 3 and 4, as 1+3+2 equals 6 (divisible by 3), and the last two digits, 32, are divisible by 4. 134 and 135 are not divisible by 4, and 135 is not divisible by 4 even though it is divisible by 3. 136 fails divisibility by 3 since 1+3+6 equals 10, which is not a multiple of 3. Thus, only 132 fits both criteria.

2. Prime Identification

   Which number is a prime among the following: 85, 91, 97, 99?

   1. 97
   2. 91
   3. 99
   4. 85

   Explanation: 97 is a prime number because it is divisible only by 1 and itself. The number 85 is divisible by 5 and 17, 91 is divisible by 7 and 13, and 99 is divisible by 3 and 33, all making them composite numbers. Only 97 has no divisors other than 1 and 97.

3. Least Common Multiple

   What is the least common multiple (LCM) of 12 and 15?

   1. 90
   2. 45
   3. 60
   4. 120

   Explanation: 60 is the LCM of 12 and 15 since it is the smallest number both numbers divide into evenly. 12 divides into 60 five times and 15 divides into 60 four times. 45 and 90 are either too small or unnecessary large considering the lowest requirement. 120 is a common multiple but not the least. 60 is correct.

4. Simplifying Arithmetic Expressions

   If you calculate (7 × 4) + (6 ÷ 2), what is the result?

   1. 32
   2. 28
   3. 29
   4. 31

   Explanation: Solving in the correct order: 7 × 4 is 28, and 6 ÷ 2 is 3, so 28 plus 3 is 31. Option 28 ignores the addition, and 32 and 29 result from incorrect operation sequencing or calculation. Therefore, 31 is the only correct and properly computed answer.

5. Highest Common Factor

   Find the highest common factor (HCF) of 24 and 36.

   1. 12
   2. 18
   3. 8
   4. 6

   Explanation: 12 is the highest common factor of both 24 and 36 because both numbers are divisible by 12 and none of the higher numbers in the list divide both. 6 and 8 are factors common to both, but not the greatest. 18 is a factor of 36 but not of 24. Thus, 12 is the correct and largest common factor.