If  then the value of  is from Quantitative Aptitude Algebr

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

61.

If p + m = 6 and p3 + m3 = 72, then the value of pm is

  • 6

  • 12

  • 9

  • 9

145 Views

62.

If fraction numerator 2 straight p over denominator straight p to the power of straight r minus 2 straight p plus 1 end fraction space equals space 1 fourth comma then the value of open parentheses straight p plus 1 over straight p close parentheses is

  • 7

  • 2 over 5
  • 1

  • 1

156 Views

63.

If 2s = a + b + c, then the value of s(s - c) + (s - a) (s - b) is

  • ab

  • abc

  • 0

  • 0

195 Views

Advertisement

64.

If straight a squared plus straight b squared plus straight c squared space equals space ab space plus bc plus space ac then the value of fraction numerator straight a plus straight c over denominator straight b end fraction is

  • 0

  • 2

  • 1

  • 1


B.

2

straight a squared plus straight b squared plus straight c squared space equals space ab space plus space bc space plus space ca
rightwards double arrow space space straight a squared plus straight b squared plus straight c squared minus ab minus bc minus ca space equals space 0
On multiplying by 2,
          2 straight a squared plus 2 straight b squared plus 2 straight c squared minus 2 ab minus 2 bc minus 2 ca space equals space 0
   rightwards double arrow space straight a squared plus straight b squared minus 2 ab plus straight b squared plus straight c squared minus 2 bc plus straight c squared plus straight a squared minus 2 ac space equals space 0
rightwards double arrow space space left parenthesis straight a minus straight b right parenthesis squared plus left parenthesis straight b minus straight c right parenthesis squared plus left parenthesis straight c minus straight a right parenthesis squared space equals space 0
rightwards double arrow space space space straight a space minus space straight b space equals space 0 comma space space space space rightwards double arrow space space straight a space equals space straight b
Similarly,
   b - c = 0   ⇒ b = c
   c - a = 0   ⇒ c = a
therefore space space fraction numerator straight a plus straight c over denominator straight b end fraction space equals space fraction numerator 2 straight a over denominator straight a end fraction space equals space 2
162 Views

Advertisement
Advertisement
65.

If ab + bc + ca = 0, then the value of open parentheses fraction numerator 1 over denominator straight a squared minus bc end fraction space plus space fraction numerator 1 over denominator straight b squared minus ca end fraction plus fraction numerator 1 over denominator straight c squared minus ab end fraction close parentheses is

  • 0

  • 1

  • 3

  • 3

182 Views

66.

If left parenthesis 2 plus square root of 3 right parenthesis straight a space equals space left parenthesis 2 minus square root of 3 right parenthesis straight b space equals space 1 then the value of 1 over straight a plus 1 over straight b is

  • 1

  • 2

  • 2 square root of 3
  • 2 square root of 3
135 Views

67.

If 3 straight x plus 3 over straight x space equals space 1, then straight x cubed plus 1 over straight x cubed plus 1 is

  • 0

  • 1 over 27
  • 5 over 27
  • 5 over 27
185 Views

68.

The factors of  are

287 Views

Advertisement
69.

If 4x + 5y = 83 and 3x : 2y =  21 : 22, then (y - x) is

  • 3

  • 4

  • 7

  • 11

260 Views

70.

If x = 11, then the value of 
  is

  • 5

  • 10

  • 15

  • 20

157 Views

Advertisement