Squares and Square Roots

32. The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is

• (A) 81
• (B) 64
• (C) 49
• (D) 36

31. Area of a square is 144 sq. cm. What could be the side of the square?

• (A) 22 cm
• (B) 18 cm
• (C) 12 cm
• (D) 28 cm

30. What is the length of the square of the diagonal of a square of side 8 cm?

• (A) 122 cm
• (B) 118 cm
• (C) 128 cm
• (D) 116 cm

29. What will be the number of zeros in the square of 4000?

• (A) 5
• (B) 4
• (C) 7
• (D) 6

28. If n is even, the square root of a perfect square of n digits will have

• (A) n/2 digits
• (B) (n/2) – 1 digits
• (C) 2n digits
• (D) (n + 1)/2 digits

27. If n is odd, the square root of a perfect square of n digits will have

• (A) (n – 1)/2 digits
• (B) (n + 1)/2 digits
• (C) n/2 digits
• (D) (n/2) – 1 digits

26. Which of the following is an example of Pythagorean triplet?

• (A) 3, 4, 8
• (B) 4, 5, 8
• (C) 5, 6, 9
• (D) 3, 4, 5

25. If one member from a Pythagorean triplet is 8, the other members are

• (A) 7, 10
• (B) 14, 15
• (C) 15, 16
• (D) 15, 17

24. The square of which of the following numbers would be an odd number?

• (A) 82004
• (B) 2826
• (C) 7778
• (D) 431

23. The next two numbers in the number pattern 1, 4, 9, 16, 25, . . . are

• (A) 35, 48
• (B) 36, 49
• (C) 36, 48
• (D) 35, 49

22. How many natural numbers lie between 18² and 19²?

• (A) 30
• (B) 37
• (C) 35
• (D) 36

21. Number of perfect squares between 10² and 12³ is

• (A) 13
• (B) 23
• (C) 9
• (D) 19

20. Number of perfect squares between 5³ and 15² is

• (A) 13
• (B) 23
• (C) 9
• (D) 19

19. Number of perfect squares between 5³ and 7³ is

• (A) 13
• (B) 23
• (C) 9
• (D) 19

18. If 4² + 5² + x² = 21², the value of x is

• (A) 19
• (B) 18
• (C) 20
• (D) 17

17. If 5² + p² + 30² = 31², the value of p is

• (A) 8
• (B) 6
• (C) 7
• (D) 5