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SSC CGL Exam Quantitative Aptitude Study Material

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Trigonometry

If α is an cute angle and 2sinα + 15 cos²α = 7 then the value of cot α is

a) `4/3
b) `4/5
c) `5/4
d) `3/4

✔Answer

✔Solution

Correct Answer Is : `3/4

Solution Is :

If sinθ + sin² θ = 1 then the value of cos² θ + cos?4 θ is

a) 0
b) 2
c) -1
d) 1

✔Answer

✔Solution

Correct Answer Is : 1

Solution Is :

If sin (A-B) = sin A cos B - cos A sin B, then sin 15θ° will be

a)
b)
c)
d)

✔Answer

✔Solution

Correct Answer Is :

Solution Is :

The shadow of a tower standing on a level plane is found to be 40cm longer
Q.When the sun`s altitude is 45θ°, than
Q.When it is 60θ°, the height of the tower is

a) 30 (3 +√3) metre
b) 40 (3 +√3) metre
c) 20 (3 +√3) metre
d) 10 (3 +√3) metre

✔Answer

✔Solution

Correct Answer Is : 20 (3 +√3) metre

Solution Is :

From two points on the ground and lying on a straight line through the foot of a pillar, the two angles of elevation of the top of the pillar are complementary to each other. If the distances of the two points from the foot of the pillar are 12 metres and 27 metres and the two points lie on the same side of the pillar. Then the height( in metres) of the pillar is

a) 12
b) 18
c) 15
d) 16

✔Answer

✔Solution

Correct Answer Is : 18

Solution Is :

If 0°<θ<90° and 2 secθ=3 [cosec]² θ ,then θ is

a) π/6
b) π/4
c) π/3
d) π/5

✔Answer

✔Solution

Correct Answer Is : π/3

Solution Is :

a) 2 cosθ
b) 2 sinθ
c) 2 cotθ
d) 2 secθ

✔Answer

✔Solution

Correct Answer Is : 2 secθ

Solution Is :

If cos θ = 3/5, then the value of sinθ . secθ . tanθ is

a) 9/16
b) 1 7/9
c) 3/4
d) 1 1/3

✔Answer

✔Solution

Correct Answer Is : 1 7/9

Solution Is :

From the peak of a hill
Q.Which is 300 m high, the angle of depression of two sides of a bridge lying in a ground are 45° and 30° (both ends of the bridge are on the same side of the hill). Then the length of the bridge is

a) 300(√3-1) m
b) 300(√3+1) m
c) 300√3 m
d) 300/√3 m

✔Answer

✔Solution

Correct Answer Is : 300(√3-1) m

Solution Is :

If the height of pole is 2√3 meter and the length of its shadow is 2 meter, then the angle o elevation of the sun is

a) 90°
b) 45°
c) 30°
d) 60°

✔Answer

✔Solution

SSC CGL Exam Quantitative Aptitude Study Material

Trigonometry

If α is an cute angle and 2sinα + 15 cos2α = 7 then the value of cot α is

Correct Answer Is : `3/4

Solution Is :

If sinθ + sin2 θ = 1 then the value of cos2 θ + cos?4 θ is

Correct Answer Is : 1

Solution Is :

If sin (A-B) = sin A cos B - cos A sin B, then sin 15θ° will be

Correct Answer Is :

Solution Is :

The shadow of a tower standing on a level plane is found to be 40cm longerQ.When the sun`s altitude is 45θ°, thanQ.When it is 60θ°, the height of the tower is

Correct Answer Is : 20 (3 +√3) metre

Solution Is :

Correct Answer Is : 18

Solution Is :

If 0°<θ<90° and 2 secθ=3 [cosec]2 θ ,then θ is

Correct Answer Is : π/3

Solution Is :

Correct Answer Is : 2 secθ

Solution Is :

If cos θ = 3/5, then the value of sinθ . secθ . tanθ is

Correct Answer Is : 1 7/9

Solution Is :

From the peak of a hill Q.Which is 300 m high, the angle of depression of two sides of a bridge lying in a ground are 45° and 30° (both ends of the bridge are on the same side of the hill). Then the length of the bridge is

Correct Answer Is : 300(√3-1) m

Solution Is :

If the height of pole is 2√3 meter and the length of its shadow is 2 meter, then the angle o elevation of the sun is

Correct Answer Is : 60°

Solution Is :

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If α is an cute angle and 2sinα + 15 cos²α = 7 then the value of cot α is

If sinθ + sin² θ = 1 then the value of cos² θ + cos?4 θ is

The shadow of a tower standing on a level plane is found to be 40cm longer
Q.When the sun`s altitude is 45θ°, than
Q.When it is 60θ°, the height of the tower is

If 0°<θ<90° and 2 secθ=3 [cosec]² θ ,then θ is

From the peak of a hill
Q.Which is 300 m high, the angle of depression of two sides of a bridge lying in a ground are 45° and 30° (both ends of the bridge are on the same side of the hill). Then the length of the bridge is