Number System · SSC CGL previous year questions

Simplify: $\left(\frac{5}{6}+\frac{3}{4}\right)÷\left(\frac{7}{8}-\frac{1}{3}\right)$

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

Simplify: $\sqrt{45}+\sqrt{20}-\sqrt{5}$.

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

Evaluate: $(0.05^3+0.01^3)÷(0.25^3+0.05^3)$

1. A.0.008
2. B.0.004
3. C.0.006
4. D.0.002

Simplify: $\left(\frac{7}{5}÷\frac{14}{15}\right)\times \left(\frac{10}{7}÷\frac{5}{3}\right)$

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

1. A.4.3418
2. B.5.3418
3. C.6.5526
4. D.7.5526

Simplify: $\left(\left(1.5+\frac{3}{4}\right)÷\left(2.25-\frac{1}{2}\right)\right)+0.6$

1. A.1.8857
2. B.2.8857
3. C.3.8857
4. D.4.8857

Evaluate: 80% of $350-37\frac{1}{2}$% of $160+11$% of 500

1. A.225
2. B.250
3. C.275
4. D.300

Simplify: $\sqrt{98}-\sqrt{32}+\sqrt{50}$

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

Simplify: $\left(3.2-1\frac{3}{5}\right)+\left(2\frac{1}{4}÷0.5\right)$

1. A.8.2
2. B.6.1
3. C.7.7
4. D.10.5

Evaluate the expression: $\left(\frac{1}{4}÷\frac{1}{2}\right)÷\left(\frac{1}{15}+1-\frac{9}{10}\right)$

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

Simplify: $\sqrt{50}+\sqrt{18}-\sqrt{8}$

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

Evaluate: $6-\left[\frac{2}{3}÷\left\{\frac{1}{6}+\left(\frac{1}{2}\times \left(1-\frac{1}{3}\right)\right)\right\}\right]$

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

Simplify: $\left(1\frac{2}{5}+2.6\right)-1\frac{3}{4}$

1. A.2.25
2. B.2.1
3. C.2.35
4. D.2.5

Evaluate the expression: $\left(\frac{1}{3-\sqrt{8}}\right)-\left(\frac{1}{\sqrt{8}-\sqrt{7}}\right)+\left(\frac{1}{\sqrt{7}-\sqrt{6}}\right)-\left(\frac{1}{\sqrt{6}-\sqrt{5}}\right)+\left(\frac{1}{\sqrt{5}-2}\right)=$?

1. A.5
2. B.3
3. C.2
4. D.0

Simplify: $\left(2\frac{1}{2}+3.6\right)-1.9$

1. A.4.2
2. B.5.2
3. C.6.2
4. D.7.2

Evaluate: $7\frac{1}{4}-\left[\frac{5}{6}÷\left\{\frac{1}{3}-\left(\frac{1}{2}\times \left(\frac{3}{4}-\frac{1}{4}\right)\right)\right\}\right]$

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

Evaluate the continued fraction:

1. A.67/29
2. B.41/17
3. C.45/19
4. D.47/20

Simplify: $\left(\frac{1}{7+\sqrt{2}}\right)+\left(\frac{1}{7-\sqrt{2}}\right)-\left(\frac{14}{49-2}\right)$

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

Evaluate: $12\frac{1}{2}$% of 560 km + $66\frac{2}{3}$% of 240 km

1. A.140 km
2. B.230 km
3. C.320 km
4. D.450 km

Evaluate the given expression.

1. A.0
2. B.2
3. C.3
4. D.5

Find the remainder when 920 + 2 is divided by 4.

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

A number whose fifth part increased by 5 is equal to its third part decreased by 7. Find half of the number.

1. A.150
2. B.45
3. C.80
4. D.60

In a room, there are some chairs and some people. If on each chair, only one person is seated, then there is no chair for exactly one person. If on each chair, two persons sit, then there is one vacant chair. What is the number of chairs in the room?

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

Simplify the following expression. (60 + 64 ÷ 4 of 4) × {1000 ÷ ((10 of (3 + 2)) × 2 of 5)} − 28 + (100 × 3 of 3).

1. A.1000
2. B.100
3. C.500
4. D.600

Simplify 626 × 2912 ÷ 8138

1. A.364
2. B.224
3. C.285
4. D.310