The ratio between the height of tower and the point at some dist

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

26.

A number when divided by 6 leaves remainder 3. When the square of the same number is divided by 6, the remainder is

  • 0

  • 2

  • 1

  • 1

1312 Views

27.

Find the wrong number in the given series
3, 7, 16, 35, 70, 153

  • 70

  • 16

  • 153

  • 153

331 Views

28.

The averages of runs scored by a player in 11 innings is 63 and the average of his first innings is 60 and the average of last six innings is 65. Find the runs scored in the sixth inning. 

  • 60

  • 54

  • 67

  • 67

541 Views

29.

In a parade of school students, the number of boys and girls are in the ratio of  9:7 respectively and the total number of boys and girls are 256. Find the number of girls.

  • 102

  • 112

  • 118

  • 118

459 Views

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30.

Two persons ride towards each other from two places 55km apart, one riding at 12 km/h and the other at 10 km/h. When will they be 11 km apart?

  • 2h and 30 min

  • 1h and 30 min

  • 2h

  • 2h

484 Views

31.

A train 150 m long passes a telegraphic post in 12 seconds. Find the speed of the train.

  • 50 km/h

  • 12.5 km/h

  • 25 km/h

  • 25 km/h

316 Views

32.

At an election, a candidate secures 40% of the votes, but is defeated by the other candidate by a majority of 298 votes. Find the total number of votes recorded.

  • 1580

  • 1490

  • 1470

  • 1470

606 Views

33.

If straight x minus 1 over straight x space equals 2, then what is the value of straight x squared plus 1 over straight x squared ?

  • 4

  • 5

  • 3

  • 3

263 Views

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34.

The ratio between the height of tower and the point at some distance is 5 square root of 3 colon 5. What will be the angle of elevation?

  • 30 degree
  • 60 degree
  • 90 degree
  • 90 degree


B.

60 degree

Let, height of tower  = 5 square root of 3 straight x
and distance of a point = 5x
Let, angle of elevation  = straight theta
Then,  in  increment ABC,
                    tanθ space equals AC over BC space
rightwards double arrow space space space space space space tanθ space equals space fraction numerator 5 square root of 3 over denominator 5 straight x end fraction straight x

              equals space square root of 3
rightwards double arrow space space space tanθ space equals space square root of 3 space equals space tan 60 degree
rightwards double arrow space space space space space straight theta space equals space 60 degree

564 Views

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35.

Successive discount of 20% and 10% is given on an item of ₹700, find the selling price.

  • 504

  • 196

  • 582

  • 582

284 Views

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