Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

11.

In triangle ABC, DE || BC where D is a point on AB and E is a point on AC. DE divides the area of Δ ABC into two equal parts. Then DB : AB is equal to

  • √2 : (√2 + 1)

  • √2 : (√2 - 1)

  • (√2 - 1) : √2

  • (√2 + 1) : √2

476 Views

12.

Ram sold two horses at the same price. In one he gets a profit of 10% and in the other he gets a loss of 10%. Then Ram gets

  • 2% loss

  • No loss or profit

  • 1% loss

  • 1% loss

285 Views

13.

If tan θ - cot θ = 0 and θ is positive acute angle, then the value of fraction numerator tan space left parenthesis straight theta space plus space 15 degree right parenthesis over denominator tan space left parenthesis straight theta space minus 15 degree right parenthesis end fraction is

  • 3

  • fraction numerator 1 over denominator square root of 3 end fraction
  • 1 third
  • 1 third
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14.

In Δ ABC, angle BAC space equals space 90 degree and AD space perpendicular space BC, if BD = 3 cm and CD = 4 cm, then the length of AD is

  • 3.5 cm

  • 5 cm

  • 2 square root of 3 space cm
  • 2 square root of 3 space cm


C.

2 square root of 3 space cm

BD = 3 cm
CD = 4cm
In Δ ABC
AB2 + AC2 = 72 = 49   ...(i)
In Δ ABD,
AB2 = AD2 + 32 = AD2 + 9  ...(ii)
In Δ ADC,
AC2 = AD2 + 16        ...(iii)
Add equations (ii) and (iii)
AB2 + AC2 = AD2 + 9 + AD2 + 16
⟹  49 = 2AD2 + 25
⟹  2AD2 = 49 - 25 = 24
⟹  AD2 = 12
⟹  AD space equals space square root of 12 space equals space 2 square root of 3 space cm.




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15.

A and B have their monthly incomes in the ratio 8 : 5, while their monthly expenditures are in the ratio 5 : 3. If they have saved Rs. 12,000 and Rs 10,000 monthly respectively, then the difference in their monthly incomes is

  • Rs 52,000

  • Rs. 42,000

  • Rs. 44,000

  • Rs. 44,000

650 Views

16.

Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe. A is closed, how much time B will take to fill the remaining tank?

  • 7 1 half space hours
  • 2 2 over 5 space hours
  • 2 1 third space hours
  • 2 1 third space hours
188 Views

17.

A right prism has a triangular base, whose sides are 13 cm, 20 cm and 21 cm. If the altitude of the prism is 9 cm, then its volume is

  • 1314 cm3

  • 1134 cm3

  • 1413 cm3

  • 1413 cm3

208 Views

18.

If (3x - 2y) : (2x + 3y) = 5  : 6, then one of the values of open parentheses fraction numerator cube root of straight x space plus space cube root of straight y over denominator cube root of straight x minus cube root of straight y end fraction close parentheses squared is

  • 1 fifth
  • 5

  • 25

  • 25

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19.

Articles are marked at a price which gives a profit of 25%. After allowing a certain discount the profit reduces to 12 1 half percent sign. The discount percent is

  • 11.1%

  • 10%

  • 12 1 half percent sign
  • 12 1 half percent sign
507 Views

20.

The portion of a ditch 48m long, 16.5m wide and 4 m deep that can be filled with stones and earth available during excavation of a tunnel, cylindrical in shape, of diameter 4 m and length 56 m is open parentheses Take space straight pi space equals space 22 over 7 close parentheses

  • 1 fourth Part
  • 1 half Part
  • 2 over 9 Part
  • 2 over 9 Part
380 Views

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