Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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61.

In a right angled triangle if hypotense is 20 cm and ratio of other two sides is 4 : 3, the length of the sides are

  • 4 cm and 3 cm

  • 8 cm and 6 cm 

  • 12 cm and 9 cm

  • 16 cm and 12 cm


D.

16 cm and 12 cm

Let the second and the third sides be 4x and 3x.
(H)2 = (P)2 + (B)2
(20)2 = (4x)2 + (3x)2
400 = 16x2 + 9x2
400 = 25x2
rightwards double arrow space space space straight x squared space equals space 400 over 25 space equals space 16
rightwards double arrow space space space straight x space equals space 4 space cm
therefore space space Second space side space equals space 4 straight x space equals space 4 space cross times space 4 space equals space 16 space cm
space and space third space side space equals space 3 space cross times space 4 space equals space 12 space cm

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62.

If sinA + sin2A = 1, what is the value of cos2 + cos4A = ?

  • 1 half

  • 1

  • 2

  • 3

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63.

The least number which when divides 37044, gives the result a perfect cube is

  • 2

  • 4

  • 14

  • 21

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64.

A man spends in 8 months as much as he earns in 6 months. He saves â‚¹ 6,000/- in a year. His average monthly income is:

  • ₹ 2,400/-

  • ₹ 2,000/-

  • ₹ 2,150/-

  • ₹ 1,800/-

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65.

If straight a space equals space square root of 2 space plus space 1  and  straight b space equals space square root of 2 minus 1 comma space then the value of fraction numerator 1 over denominator straight a plus 1 end fraction space plus space fraction numerator 1 over denominator straight b plus 1 end fraction will be

  • 0

  • 1

  • 2

  • -1

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66.

If fraction numerator 3 over denominator left parenthesis straight x plus 2 right parenthesis thin space left parenthesis 2 straight x plus 1 right parenthesis end fraction space space equals space fraction numerator straight a over denominator 2 straight x plus 1 end fraction space plus space fraction numerator straight b over denominator straight x plus 2 end fraction be an identity, then the value of b is

  • 0

  • -1

  • 2

  • 3

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67.

In Δ ABC, ∠BAC = 90° and AD is perpendicular to BC. If AD = 6cm and BD = 4 cm, then the length of BC is

  • 10 cm

  • 12 cm

  • 13 cm

  • 15 cm

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68.

D and E are the points on the sides AB and AC respectively of a Delta; ABC and AD = 8 cm, DB = 12 cm, AE = 6 cm and EC = 9 cm, then BC is equal to

  • DE = 2/5 DE

  • DE = 5/2 DE

  • DE = 3/2 DE

  • DE = 3/5 DE

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69.

ABC is a right angled triangle with angle straight A space equals space 90 degree. Then the value of cos2A + cos2B + cos2C is:

  • 2

  • 1

  • 0

  • 3

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70.

In what time (in years) will â‚¹ 8,000/- amount to â‚¹ 9,261/- at 5% per annum, compounded annually?

  • 3

  • 3 1 half

  • 4

  • 4 1 half

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