Algebra · SSC CGL previous year questions

What is the value of $(0.02^3+0.004^3)÷(0.2^3+0.04^3)$?

1. A.0.002
2. B.0.0045
3. C.0.0102
4. D.0.001

What is the value of $(0.4\times 0.4\times 0.4+0.02\times 0.02\times 0.02)÷(1.2\times 1.2\times 1.2+0.06\times 0.06\times 0.06)$?

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

If , then what is the value of ?

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

What is the value of $(\sqrt{18}+\sqrt{2}{)}^2-(\sqrt{8}+\sqrt{2}{)}^2$?

1. A.14
2. B.15
3. C.16
4. D.17

What is the value of $\left(\frac{7}{8}\times 2.4\right)÷0.6$?

1. A.3.5
2. B.2.5
3. C.3.2
4. D.2.8

Which of the following represents the correct simplified value of the continued fraction:

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

Given , find the value of .

1. A.119
2. B.125
3. C.130
4. D.145

What is the value of $\frac{0.1\times 0.1\times 0.1+0.03\times 0.03\times 0.03}{0.3\times 0.3\times 0.3+0.09\times 0.09\times 0.09}$ ?

1. A.0.027
2. B.0.009
3. C.0.729
4. D.0.037

Given , find the value of .

1. A.55
2. B.57
3. C.52
4. D.50

If , then what is the value of A?

1. A.30°
2. B.25°
3. C.18°
4. D.40°

If , then what is the value of ?

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

If , then find the value of .

1. A.4
2. B.5
3. C.9
4. D.11

If $A+B=90^{\circ }$ and $\sin A=\frac{3}{5}$, then find the value of $\tan B$.

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

If , then find the value of .

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

What is the value of 4 + 44 + 444 + 4444 + 44444?

1. A.49380
2. B.42300
3. C.41300
4. D.45000

What is the equation of line through (0, 3) with slope −1?

1. A.y = −x + 3
2. B.y = x − 3
3. C.y = −x − 3
4. D.y = x + 3

Given , determine the value of .

1. A.25
2. B.24
3. C.26
4. D.23

The line y = mx + 5 passes through (1, 8). Find m.

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

If , determine the value of .

1. A.8√7/7
2. B.7√7/8
3. C.7√7/9
4. D.9√7/7

If , determine the value of .

1. A.3√3
2. B.5√3
3. C.7√3
4. D.9√3

Given a linear equation in two variables: 5x + 7y - 8 = 0, which of the following linear equations, along with the given equation, forms a system of linear equations having no solution?

1. A.10x + 14y - 16 = 0
2. B.5x + 7y - 16 = 0
3. C.5x - 7y - 8 = 0
4. D.7x + 5y - 8 = 0

If , then find the value of .

1. A.112
2. B.98
3. C.96
4. D.108

If $8\cot \theta =7$, then the value of $\frac{1+\sin \theta }{\cos \theta }$ is:

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

The side BC of △ABC is produced to a point D. If AC = BC and ∠BAC = 70°, then find the value of 2.5∠ACD – 1.5∠ABC.

1. A.235°
2. B.245°
3. C.225°
4. D.230°

The five-digit number 45yz0 is divisible by 40. What is the maximum possible value of (y + z)?

1. A.16
2. B.18
3. C.17
4. D.15