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

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