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

111.

With average speed of 40 km/h, a train reaches its destination in time. If it goes with an average speed of 35 km/h, it is late by 15 min. The total journey is

  • 30 km

  • 40 km

  • 70 km

  • 80 km

53 Views

112.

A man makes a profit of 20% on the sale by selling 20 articles for ₹ 1, the number of articles he bought by ₹ 1 is

  • 20

  • 24

  • 25

  • 30

31 Views

113.

The number of seats in an auditorium is increased by 25%. The price of a ticket is also increased by 12%. Then, the increase in revenue collection will be

  • 40%

  • 35%

  • 45%

  • 48%

51 Views

114.

A ship is moving at a speed of 30 km/h. To know the depth of the ocean beneath it. It sends a radio wave which travels at a speed 200 m/s. The ship receives the signal after it has moved 500 m. The depth of the ocean is

  • √143/2 km

  • 12 km

  • 6 km

  • 8 km

73 Views

Advertisement
115.

A person takes a loan of ₹ 10000 partly from a bank at 8% per annum and remaining from another bank at 10% per annum. He pays a total interest of ₹ 950 per annum. Amount of loan taken from the first bank (in ₹) is

  • 2500

  • 5200

  • 2050

  • 5020

36 Views

116.

If straight a squared space plus space 1 over straight a squared space equals space 98 space left parenthesis straight a space greater than space 0 right parenthesis comma then the value of straight a cubed space plus space 1 over straight a cubed will be

  • 535

  • 1030

  • 790

  • 970

33 Views

Advertisement

117.

If straight x space equals space 1 plus square root of 2 space plus space square root of 3 comma space space then the value of (2x4 - 8x3 - 5x2 + 26x - 28) is

  • 6 square root of 6

  • 0

  • 3 square root of 6

  • 2 square root of 6


A.

6 square root of 6

straight x space equals space space 1 space plus space square root of 2 space plus space square root of 3
rightwards double arrow space space straight x space minus space 1 space equals space square root of 2 space plus space square root of 3
S.B.S.
rightwards double arrow space space space left parenthesis straight x space minus space 1 right parenthesis squared space equals space left parenthesis square root of 2 space plus space square root of 3 right parenthesis squared
rightwards double arrow space space space straight x squared space minus 2 straight x space plus space 1 space equals space 2 space plus space 3 space plus space 2 square root of 6
rightwards double arrow space space space space straight x squared minus 2 straight x space equals space 4 space plus space 2 square root of 6
rightwards double arrow space space space space straight x squared space minus space 2 straight x space minus space 4 space equals space 2 square root of 6 space space space space space space space space space space space space space space space space space space space
Again, S.B.S.
    rightwards double arrow space space space space space space left parenthesis straight x squared minus 2 straight x minus 4 right parenthesis squared space equals space left parenthesis 2 square root of 6 right parenthesis squared
space space space space space open curly brackets therefore space left parenthesis straight a space plus space straight b space plus space straight c right parenthesis squared space equals space straight a squared space plus space straight b squared space plus space straight c squared space plus space 2 ab space plus space 2 bc space plus space 2 ca close curly brackets
rightwards double arrow space space space space space straight x to the power of 4 minus 4 straight x squared space plus space 16 space minus space 4 straight x cubed space plus space 16 straight x space minus space 8 straight x squared space equals space 24
rightwards double arrow space space space space space straight x to the power of 4 space minus 4 straight x cubed space minus space 4 straight x squared space plus space 16 straight x space minus space 8 space equals space 0
rightwards double arrow space space space space space 2 straight x to the power of 4 space minus space 8 straight x cubed space minus space 8 straight x squared space plus space 32 straight x space minus space 16 space equals space 0
rightwards double arrow space space space space 2 straight x to the power of 4 space minus space 8 straight x cubed space minus space 5 straight x squared space plus space 26 straight x space minus space 28 space equals space 3 straight x squared space minus space 6 straight x minus space 12

      equals space 3 left parenthesis straight x squared space minus space 2 straight x right parenthesis space minus space 12 space equals space 3 left parenthesis 4 plus 2 square root of 6 right parenthesis minus 12
equals space 12 space plus space 6 square root of 6 space minus space 12 space equals space 6 square root of 6
   

43 Views

Advertisement
118.

If the distance between two points (0, -5) and (x, 0) is 13 unit, then x equal to

  • 10

  • plus-or-minus space 10

  • 12

  • plus-or-minus space 12

80 Views

Advertisement
119.

If 4x = 18y,  then the value of open parentheses straight x over straight y minus 1 close parentheses is

  • 1 third

  • 7 over 2

  • 2 over 3

  • 3 over 2

48 Views

120.

If straight x space plus space 1 over straight x space equals space 5 comma then the value of fraction numerator straight x to the power of 4 space plus space begin display style 1 over straight x squared end style over denominator straight x squared space minus space 3 straight x space plus space 1 end fraction is

  • 70

  • 50

  • 110

  • 55

29 Views

Advertisement