Quantitative Aptitude · Mathematics

Squares and Square Roots

191 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

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

Multiple choice

Which is the smallest perfect number?

  1. 2

  2. 6

  3. 3

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

A perfect number is a positive integer equal to the sum of its proper divisors (excluding itself). 6 is the smallest perfect number because its proper divisors are 1, 2, 3, and 1 + 2 + 3 = 6. The next perfect number is 28 (1 + 2 + 4 + 7 + 14 = 28). 2, 3, and 4 are not perfect numbers as their proper divisors don't sum to themselves.