Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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.

square root of 1 plus straight x over 144 end root space equals space 13 over 12 comma then x equals to

  • 1

  • 13

  • 27

  • 25

56 Views

62.

If 'O' is the incentre of the Δ PQR. If ∠POR = 115° then value of ∠PQR is

  • 40°

  • 65°

  • 50°

  • 25°

82 Views

63.

The in-radius of triangle is 4 cm and its area is 34 sq cm. The perimeter of the triangle is

  • 8.5 cm

  • 17 cm

  • 34 cm

  • 20 cm

94 Views

64.

If tan space straight theta space plus space cot space straight theta space equals space 2 then the value of tan to the power of straight n straight theta space plus space cot to the power of straight n straight theta is

  • 2n

  • 2 to the power of straight n over 2 end exponent

  • 2 to the power of 1 half end exponent

  • 2

45 Views

Advertisement
65.

A certain number of men can do a piece of work in 60 days. If there were 6 men more, the work can be finished 20 days earlier. The number of men working is

  • 6

  • 12

  • 18

  • 24

49 Views

66.

If a2 = b + c,   b2 = c + a,   c2 = a + b, then the value of:
3 open parentheses 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 space plus space fraction numerator 1 over denominator straight c plus 1 end fraction close parentheses

  • 1

  • 1 third

  • 3

  • 4

51 Views

67.

The area of a Δ ABC is 10.8 cm2. If CP = PB and 2AQ = QB, then the area of the Δ APQ is:

  • 3.6 cm2

  • 0.9 cm2

  • 2.7 cm2

  • 1.8 cm2

218 Views

68.

ABCD is a trapezium in which AD || BC and AB = DC = 10 m. Then the distance of AD from BC is

  • 10√2 m

  • 4√2 m

  • 5√2 m

  • 6√2 m

110 Views

Advertisement
Advertisement

69.

From the top of a building 60 m high, the angle of depression of the top and bottom of a tower are observed to be 30° and 60°. The height of the tower (in metre) is:

  • 40

  • 45

  • 50

  • 55


A.

40


In Δ ABC,
  tan space 30 degree space equals space AC over BC
fraction numerator 1 over denominator square root of 3 end fraction space space equals space fraction numerator 60 minus straight h over denominator straight a end fraction
straight a space equals space square root of 3 space left parenthesis 60 space minus space straight h right parenthesis            ...(i)
In Δ ADE,
  tan space 60 degree space equals space AE over DE
space space space square root of 3 space equals space 60 over straight a
space space space space straight a space equals space fraction numerator 60 over denominator square root of 3 end fraction space space space space 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
From (i) and (ii)
square root of 3 left parenthesis 60 minus straight h right parenthesis space equals space fraction numerator 60 over denominator square root of 3 end fraction
space space space 3 left parenthesis 60 space minus space straight h right parenthesis space equals space 60
space space space 180 space minus space 3 straight h space equals space 60
space space space space space space space space space space space space 3 straight h space equals space 180 space minus 60
space space space space space space space space space space space space space 3 straight h space equals space 120
space space space space space space space space space space space space space space space straight h space equals space 40 space straight m

56 Views

Advertisement
70.

If a circle of radius 12 cm is divided into two equal parts by one concentric circle, then radius of inner circle is

  • 6 cm

  • 4 cm

  • 6 square root of 2 space cm

  • 4 square root of 2 space cm

83 Views

Advertisement