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SSCCGL Quantitative Aptitude Solved Question Paper 2015

Multiple Choice Questions

41.

If $sec space straight theta space minus space tan space straight theta space equals space fraction numerator 1 over denominator square root of 3 end fraction comma$ the value of $sec space straight theta. space space tan space straight theta$ is

$2 over 3$
$fraction numerator 2 over denominator square root of 3 end fraction$
$fraction numerator 4 over denominator square root of 3 end fraction$
$fraction numerator 4 over denominator square root of 3 end fraction$

359 Views

42.

A car covers four successive 7km distances at speeds of 10 km/hour, 20 km/hour, 30 km/hour and 60 km/hour respectively. Its average speed over this distance is

30 km/hour
20 km/hour
60 km/hour
60 km/hour

748 Views

43.

If 64 buckets of water are removed from a cubical shaped water tank completely filled with water, $1 third$ of the tank remains filled with water. The length of each side of the tank is 1.2 m. Assuming that all buckets are of the same measure, then the volume (in litres) of water contained by each bucket is

313 Views

44.

The centroid of a Δ ABC is G. The area of Δ ABC is 60 cm². The area of ΔGBC is

10 cm²
30 cm²
40 cm²
40 cm²

287 Views

45.

The base of a right pyramid is a square side 10 cm. If the height of the pyramid is 12 cm, then its total surface area is

400 cm²
460 cm²
260 cm²
260 cm²

445 Views

46.

60 kg of an alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3 : 2 and alloy B has tin and copper in the ratio 1 : 4, the amount of tin in the new alloy is

53 kg
44 kg
80 kg
80 kg

853 Views

47.

If $5 space cos space straight theta space plus space 12 space sin space straight theta space equals space 13$ , $0 degree less than straight theta less than 90 degree comma$ then the value of $sin space straight theta$ is

$5 over 13$
$negative 12 over 13$
$6 over 13$
$6 over 13$

165 Views

48.

In trapezium ABCD, AB || CD and AB = 2CD. Its diagonals intersect at O. If the area of ΔAOB = 84 cm², then the area of ΔCOD is equal to

72 cm²
21 cm²
42 cm²
42 cm²

729 Views

49.
Quadrilateral ABCD is circumscribed about a circle. If the lengths of AB, BC and CD are 7 cm, 8.5 cm and 9.2 cm respectively, then the length ( in cm) of DA is

7.7

16.2

10.7

10.7

7.7

As tangents drawn from an external point are always equal.
∴ AP = AS ...(i)
BP = BQ ...(ii)
CR = CQ ...(iii)
DR = DS ...(iv)
on adding all these, we have
AP + BP + CR + DR = AS + BQ + CQ + DS
⟹ (AP + BP) + (CR + DR) = (AS + DS) + (BQ + CQ)
⟹ AB + CD = BC + DA
⟹ 7 + 9.2 = 8.5 + DA
⟹ 16.2 = 8.5 + DA
⟹ DA = 16.2 - 8.5 = 7.7 cm.

334 Views

50.

In a school there were 1554 students and the ratio of the number of the boys and girls was 4 : 3. After a few days, 30 girls joined the school but a few boys left; as a result the ratio of the boys and girls became 7 : 6. The number of boys who left the school is

747 Views