We are providing you the set of 50 questions, which are most repetitive questions of the quantitative aptitude came in last five years. Try all these questions and attempt similar questions too. All are provided with complete explanation through which you can easily see analyse the complete solution. An important thing is that SSC repeats its questions, so it is very helpful to you as you may get the same question in exam.
Q1. P and Q are two points observed from the top of a building 10√3 m high. IF the angles of depression of the points are complementary and PQ = 20 m, then the distance of P from the building is
a) 25 m
b) 45 m
c) 30 m
d) 40 m
Answer: c
Solution:
Q2. If A and B are complementary angles, then the value of Sin A cos B + cos A sin B – tan A tan B + sec2A – cot2 B is
a) 2
b) 0
c) 1
d) -1
Answer: a
Solution:
Q3. The least value of 2sin2θ + 2cos2θ is
a) 3
b) 5
c) 1
d) 2
Answer: d
Solution:
Q4. A, O, B are three points on a line segment and C is a points not lying on AOB. IF ∠AOC = 40o and OX, OY are the internal and external bisectors of ∠AOC respectively, then ∠BOY is
a) 70o
b) 80o
c) 75o
d) 68o
Answer: a
Solution:
a) 1/16
b) 1/8
c) 1/2
d) 1/4
Answer: c
Solution:
Q6. If 2 – cos2θ = 3sinθ*cosθ, then tanθ is
a) 1/2
b) 0
c) 2/3
d) 1/3
Answer: a
Solution:
Q7. If sinθ +cosθ √2cos (90 - θ), then cotθ is
a) √2 +1
b) 0
c) √2
d) √2 -1
Answer: d
Solution:
Q8. If x sin3θ + y cos3θ = sinθ*cos θ and x sin θ = y cos θ, then x2 + y3 is
a) 1/√2
b)1/2
c) 1
d) √2
Answer: c
Solution:
Q9. In the following figure, O is the centre of the circle and XO is perpendicular to OY. If the area of the triangle XOY is 32, then the area of the circle is
Answer: a
Solution:
Q10. The side BC of triangle ABC is produced to D. If ∠ACD = 108° and ∠B = 2 ∠A then ∠A is
a) 36°
b) 72°
c) 108°
d) 59°
Answer: b
Solution:
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