Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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121.

If x2 - 3x + 1 = 0,  then the value of straight x squared space plus space straight x space plus space 1 over straight x space plus space 1 over straight x squared is

  • 2

  • 6

  • 8

  • 10


D.

10

x2 - 3x + 1 = 0
⟹   x2 + 1 = 3x
Divide the whole equation by x,
   rightwards double arrow space space space space space space space straight x space plus space 1 over straight x space equals space 3
          ...(i)
Squaring both sides
   straight x squared space plus space 1 over straight x squared space equals space 9 space minus space 2
straight x squared space plus space 1 over straight x squared space equals space 7 space space space space space space space space space space space space space space space space space space space space space space space... left parenthesis ii right parenthesis
Adding eq. (i) and eq. (ii), we get,
      straight x squared space plus space straight x space plus space 1 over straight x space plus space 1 over straight x squared space equals space 7 space plus space 3 space equals space 10

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122.

If fraction numerator 4 straight x minus 3 over denominator straight y end fraction space plus space fraction numerator 4 straight y minus 3 over denominator straight y end fraction space plus space fraction numerator 4 straight z minus 3 over denominator straight z end fraction space equals space 0 comma then the value of 1 over straight x space plus space 1 over straight y space plus space 1 over straight z is

  • 3

  • 4

  • 6

  • 9

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123.

Find the simplest value of 2 square root of 50 space plus space square root of 18 space minus space square root of 72 (given square root of 2 equals space space 1.4141).

  • 9.898

  • 10.312

  • 8.484

  • 4.242

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124.

If a2 + b2 + 4c2 = 2(a + b - 2c) - 3 and a, b, c are real, then the value of (a2 + b2 + c2) is

  • 3 1 fourth

  • 2

  • 2 1 fourth

  • 3

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125.

A number x, when divided by 289 leaves 18 as the remainder. The same number when divided by 17 leaves y as a remainder. The value of y is

  • 2

  • 3

  • 1

  • 5

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126.

An equation of the form ax + by + c = 0, where, straight a not equal to 0 comma space space straight b not equal to 0 space space and space straight c space equals space 0 represents a straight line which passes through

  • (2, 4)

  • (0, 0)

  • (3, 2)

  • None of these

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127.

The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.

  • 3 over 7

  • 4 over 8

  • 2 over 7

  • 3 over 8

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128.

If x2 = y + z,  y2 = z + x  and z2 = x + y, then the value of 
   fraction numerator 1 over denominator 1 plus straight x end fraction space plus space fraction numerator 1 over denominator 1 plus straight y end fraction space plus space fraction numerator 1 over denominator 1 plus straight z end fraction is

  • 1

  • 2

  • 0

  • -1

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129.

In a Δ ABC, ∠A = 90°, ∠C = 55°, What is the value of ∠BAD ?

  • 60°

  • 45°

  • 55°

  • 35°

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130.

If G is the centroid of Δ ABC and Δ ABC = 48 cm2,  then the area of Δ BGC is

  • 8 cm2

  • 16 cm2

  • 24 cm2

  • 32 cm2

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