Other Quant · SSC CGL previous year questions

In a rhombus PQRS, O is any interior point such that OP = OR. What is the degree measure of ?

1. A.240°
2. B.120°
3. C.180°
4. D.200°

If $8a^3+b^3+27c^3=18abc$, then the relation among a, b, and c is:

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

If $\tan (A)=\frac{3}{5}$, then $\cos (A)$ is equal to:

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

A function of two variable varies directly with x and inversely with y. Determine function when x = 5 and y = 3. Given that, for x = 0 and y = 1, f = 15 and for x = 1 and y = 15, f = 2.

1. A.2
2. B.15
3. C.5
4. D.10

If △PQR ≅ △ABC, AB = 6 cm, ∠B = 50° and ∠A = 70°, then which of the following is true?

1. A.QR = 6 cm, ∠R = 60°
2. B.QR = 6 cm, ∠Q = 60°
3. C.QP = 6 cm, ∠P = 60°
4. D.QP = 6 cm, ∠R = 60°

If A:B = 6:8 and B:C = 5:10, then A:B:C is:

1. A.1:2:4
2. B.3:4:8
3. C.4:3:2
4. D.1:3:4

If m + n = 24, then (m - 16)³ + (n - 8)³ is ____.

1. A.0
2. B.320
3. C.576
4. D.40

Solve the following: $\frac{1}{1+\cos \theta }+\frac{1}{1-\cos \theta }=$?

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

Solve the following: $\left[(2.5+1.5{)}^2÷4\text{ of }\frac{1}{2}\times 8-1\right]$

1. A.63
2. B.81
3. C.27.1
4. D.0

If $7\tan \theta =3$, then $\frac{7\sin \theta +5\cos \theta }{7\sin \theta -2\cos \theta }$ is:

1. A.8
2. B.6
3. C.5
4. D.7

In a rhombus ABCD, O is any interior point such that OA = OC. What is five-ninths of the degree measure of ∠DOB?

1. A.150°
2. B.100°
3. C.90°
4. D.120°

Mrudula starts her job with a certain monthly salary and earns a fixed increment every year. If her salary was ₹28,400 after six years of service and ₹52,997 after fifteen years, find her annual increment.

1. A.₹1,824
2. B.₹12,002
3. C.₹1,200
4. D.₹2,733

△ABC and △RPQ are congruent, then the side of △ABC that corresponds to PQ is:

1. A.BC
2. B.AR
3. C.CA
4. D.AB

Naman bought few apples for ₹720 from a shop. He negotiated the price and the shopkeeper reduced it by ₹2 per apple. Due to this, Naman could buy four more apples than what he had bought earlier. How many apples did he originally buy?

1. A.36
2. B.44
3. C.40
4. D.48

In a △LMN, ∠L = 118° and LM = LN. Find ∠N.

1. A.31°
2. B.62°
3. C.42°
4. D.65°

$\frac{2+{\tan }^{2}2A+{\cot }^{2}2A}{\sec 2A\cdot \mathrm{cosec}2A}$ is equal to ______.

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

The ages of two friends, Ram and Ravi, differ by 7 years. Ram’s mother Mayadevi is three times as old as Ram, and Ravi is four times as old as his brother Soham. The ages of Mayadevi and Soham differ by 65 years. Find the age of Mayadevi (in years).

1. A.45
2. B.69
3. C.36
4. D.85

Let 0° < t < 90°. Then which of the followings is true?

1. A.sin t < cos t when t > 45∘
2. B.sin t ≠ cos t when t = 45∘
3. C.sin t < cos t when t < 45∘
4. D.sin t > cos t when t < 45∘

ΔEFG and ΔHIJ are similar. Also, ∠E = ∠H and ∠F = ∠I. If 3EF = HI and FG = 9 cm, then IJ is equal to ____.

1. A.27 cm
2. B.9 cm
3. C.18 cm
4. D.3 cm

If A:B = 6:8 and B:C = 5:12, then A:B:C is:

1. A.10:23:14
2. B.11:32:44
3. C.14:31:28
4. D.15:20:48

If $2\tan \theta =3$, then $\frac{3\sin \theta -2\cos \theta }{3\sin \theta +2\cos \theta }$ is equal to:

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

$\frac{3\sin 58^{\circ }}{5\cos 32^{\circ }}+\frac{2\cos 62^{\circ }}{5\sin 28^{\circ }}$ is equal to:

1. A.2
2. B.0
3. C.1
4. D.3

Let a + b = 2c, then which of the following expressions is true?

1. A.a² − ac = b² − bc
2. B.a² + 2ac = b² + 2bc
3. C.a² − 2bc = b² − 2ac
4. D.a² + 2bc = b² + 2ac

What is $\tan \frac{\theta }{2}$?

1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4

The following formula is used to calculate which of the following?

1. A.Length of a sector
2. B.Area of an arc
3. C.Radius of a circle
4. D.Length of an arc