Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

91.

If straight a plus 1 over straight a plus 2 space equals space 0 comma then the value of open parentheses straight a to the power of 37 minus 1 over straight a to the power of 100 close parentheses is

  • 0

  • -2

  • 1

  • 1

129 Views

92.

If a + b + c = 0, then the value of fraction numerator straight a squared plus space straight b squared space plus space straight c squared over denominator straight a squared space minus bc end fraction is

  • 0

  • 1

  • 2

  • 2

103 Views

93.

If a + b + c = 6,  a2 + b2 + c2 = 14  and a3 + b3 + c3 = 36, then the value of abc is

  • 3

  • 6

  • 9

  • 9

175 Views

Advertisement

94.

If open parentheses straight x plus 1 over straight x close parentheses squared space equals space 3, then the value of (x72 + x66 + x54 + x36 + x24 + x6 +1) is



  • 1

  • 2

  • 3

  • 3


A.

1

space open parentheses straight x plus 1 over straight x close parentheses squared space equals space 3
therefore space space space straight x plus 1 over straight x space equals square root of 3 
If space space straight x space plus 1 over straight x space equals space straight a comma space space then space space straight x cubed space plus space 1 over straight x cubed space equals space straight a cubed space minus space 3 straight a
therefore space space straight x cubed space plus space 1 over straight x cubed space equals space left parenthesis square root of 3 right parenthesis cubed space minus space 3 cross times square root of 3 space equals space 0
rightwards double arrow space space space straight x cubed space plus space 1 over straight x cubed space equals space 0 space space rightwards double arrow space space straight x to the power of 6 space plus space 1 space equals space 0
therefore space space space space space space straight x to the power of 72 space plus space straight x to the power of 66 space plus space straight x to the power of 54 space plus space straight x to the power of 36 space plus space straight x to the power of 24 space plus space straight x to the power of 6 space plus space 1
space space space equals space left parenthesis straight x to the power of 6 right parenthesis to the power of 12 space plus space left parenthesis straight x to the power of 6 right parenthesis to the power of 11 space plus space left parenthesis straight x to the power of 6 right parenthesis to the power of 9 space plus space left parenthesis straight x to the power of 6 right parenthesis to the power of 6 space plus space left parenthesis straight x to the power of 6 right parenthesis to the power of 4 space plus space straight x to the power of 6 space plus space 1
space equals space space 1 minus 1 minus 1 plus 1 plus 1 plus 0 space equals space 1

128 Views

Advertisement
Advertisement
95.

If open parentheses straight x plus 1 over straight x close parentheses squared space equals space 3 comma then the value of x206 + x200 + x90 + x84 + x18 + x12 + x6 + 1 is

  • 0

  • 1

  • 84

  • 84

117 Views

96.

If straight n space equals space 7 space plus space 4 square root of 3 comma then the value of open parentheses square root of straight n plus fraction numerator 1 over denominator square root of straight n end fraction close parentheses is

  • 2 square root of 3
  • 4

  • -4

  • -4

90 Views

97.

P varies inversely with the product of Q and R. When Q = 6 and R = 12, P = 75. When Q = 5, R = 10, then P is

  • 75

  • 6

  • 108

  • 108

256 Views

98.

If a3b = abc  = 180,  a, b, c are positive integers, then the value of c is

  • 110

  • 1

  • 4

  • 4

1054 Views

Advertisement
99.

If open parentheses straight x plus 1 over straight x close parentheses squared space equals space 3, then open parentheses straight x cubed space plus space 1 over straight x cubed close parentheses is equal to

  • 3

  • 2

  • 1

  • 1

153 Views

100.

If straight x plus 1 over straight x space equals space 2, then the value of straight x to the power of 100 space plus space 1 over straight x to the power of 100 is

  • 2

  • 0

  • 1

  • 1

129 Views

Advertisement