Quantitative Aptitude · Mathematics

Squares and Square Roots

196 Questions

Squares and square roots questions assess numerical ability through perfect squares, digit properties, and fast calculation techniques. Many competitive exams feature Vedic mathematics shortcuts to solve these quickly. Mastering these rules improves overall calculation speed.

Perfect square propertiesVedic math squaresFinding square rootsDigit replacement puzzlesLeast perfect squares

Squares and Square Roots Questions

Multiple choice

What is the square of 11?

  1. 1<span style="font-family:" arial;="" font-size:="" small;="">69

  2. 1<span style="font-family:" arial;="" font-size:="" small;="">44

  3. 121

  4. 100
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

11 × 11 = 121

Multiple choice

Find the smallest number which can exactly be divided by 6, 8, 12.

  1. 16

  2. 24

  3. 84

  4. 169
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Multiple of 6 - 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 Multiple of 8 - 8, 16, 24, 32, 40, 48, 56, 64, 72, 80 Multiple of 12 - 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 Common multiples are 24, 48 24 is the least common multiple of 6, 8 and 12 

Multiple choice

What is the square of 71?

  1. <span style="font-family:">3721

  2. <span style="font-family:">4761

  3. <span style="font-family:">5041

  4. <span style="font-family:">5329
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Square of 71 = 71 × 71 = 5041