# SSC Quantitative Aptitude Questions (Day-53)

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1)Â

(a) 33/32

(b) 11/29

(c) 33/47

(d) 11/32

2) If âˆš5 tan Î¸ = 5 sin Î¸, then what is the value of (sin2 Î¸ â€“ cos2Î¸)=?

(a) 3/5

(b) 1/5

(c) 4/5

(d) 2/5

3)Â

(a) 3

(b) 4

(c) 5

(d) 7

4) Two posts are 4 m apart. Both posts are on same side of a tree. If the angles of depressions of these posts when observed from the top of the tree are45o and 60o respectively, then what is the height of the tree?

(a) âˆš3 + 1

(b) âˆš3(âˆš3 +1)

(c) 2âˆš3 (âˆš3 + 1)

(d) 4âˆš3(âˆš3 + 1)

5) If cosec Î¸ + 3 sec Î¸ = 5 cosec Î¸, then what is the value of cot Î¸?

(a) 4/3

(b) 3/4

(c) 1/âˆš3

(d) âˆš3

Direction (6-10): The given pie chart shows the runs scored by 5 players in a match.

6) The runs scored by Kohli are how much percent more than the runs scored by Sharma?

(a) 100

(b) 33.33

(c) 66.66

(d) 50

7) Runs scored by Kohli is what percent of runs scored by Yuvraj?

(a) 124.39

(b) 134.21

(c) 113.13

(d) 126.67

8) Runs scored by Pujara is what percent of total runs scored by these 5 players?

(a) 25

(b) 30

(c) 20

(d) 23

9) What is the central angle (in degrees) made by the sector of runs scored by Yuvraj?

(a) 77.68

(b) 74.64

(c) 72.12

(d) 79.34

10) If runs scored by Rahane is 50% of the runs scored by Yuvraj, then runs scored by Rahane is what percent of total runs scored by Kohli, Pujara and Dhoni?

(a) 16.41

(b) 17.82

(c) 18.92

(d) 16.31

Required % = 102/82 Ã— 100

= 124.39%

Total runs = 380

Pujara scored = 76

Yuvraj scored = 82 runs

Total runs = 380

Central angle (in degrees) = 82/380 Ã— 360Â°

= 77.68Â°

Rahane scored 50% of Yuvrajâ€™s runs

= 82 Ã— 50/100 = 41 runs

Runs scored by Kohli, pujari and Dhoni= 230

Required % = 41/230 Ã— 100

= 17.82%

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