Number System · SSC CGL previous year questions

Find the smallest number to be added to 999, so that 99 divides the sum exactly.

1. A.90
2. B.0
3. C.9
4. D.99

In a division problem, the divisor is 4 times the quotient and 2 times the remainder. If the remainder is 32, then find the dividend.

1. A.1065
2. B.3240
3. C.1650
4. D.1056

Simplify $\frac{(4.2{)}^3-(1.2{)}^3}{(4.2{)}^2+5.04+(1.2{)}^2}$

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

Simplify: $1020÷\left[\frac{4}{3}\text{ of }(26+4)-11\frac{2}{3}\right]$

1. A.17
2. B.28
3. C.31
4. D.36

Which of the following numbers is divisible by both 2 and 5?

1. A.63840
2. B.20792
3. C.37915
4. D.37254

Simplify $4\frac{4}{5}\times \frac{3}{8}+\left(3\frac{1}{2}+\frac{2}{3}\right)\times \frac{4}{5}$

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

Replace * by the smallest digit so that 723*56* is divisible by 6.

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

Simplify the following expression: (3⁄a + 3a)(9⁄a2 − 9 + 9a2) if a = 1.

1. A.54
2. B.81
3. C.63
4. D.27

Which of the following is the largest 5-digit number divisible by 47?

1. A.99,999
2. B.10,000
3. C.99,969
4. D.98,888

Simplify $\frac{0.58\times 0.58\times 0.58-0.001}{0.58\times 0.58+0.058+0.01}$.

1. A.0.37
2. B.0.28
3. C.0.48
4. D.0.42

If $\cot \theta =4/3$, then evaluate $\left(\sec \theta (1+{\cot }^2\theta )({\mathrm{cosec}}^2\theta -{\cot }^2\theta )\right)/{\mathrm{cosec}}^3\theta$.

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

If (7777 + 77) is divided by 78, then the remainder will be:

1. A.78
2. B.77
3. C.76
4. D.1

Simplify: 21 − [6 + 7 − {3.22 − (1.1 × 0.2)}].

1. A.11
2. B.13
3. C.12
4. D.10

Which digits should come in the place of * and #, respectively, if the 7-digit number 62684*# is divisible by both 8 and 5?

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

Simplify: 13 − [7 − (4 + 7) − {7 − (7 − 4 + 7)} + 14]

1. A.9
2. B.13
3. C.26
4. D.0

If a 7-storey building has a 28 m long shadow, the number of storeys of the building whose shadow is 48 m long is:

1. A.14
2. B.24
3. C.16
4. D.12

When a number is divided by 45, the remainder is 21. What will be the remainder when the number is divided by 15?

1. A.6
2. B.5
3. C.3
4. D.0

Simplify the following expression. 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {4 × 2 - (8 - 11)}]

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

Find the remainder when 88 + 6 is divided by 7.

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

In a division sum, the divisor is 13 times the quotient and 6 times the remainder. If the remainder is 39, then the dividend is:

1. A.4240
2. B.4576
3. C.4251
4. D.4800

Which of the following numbers is divisible by 8?

1. A.18718
2. B.18716
3. C.18712
4. D.18714

Which of the following numbers is divisible by 99?

1. A.31548
2. B.60687
3. C.44775
4. D.84456

Simplify $\frac{256x^4-16y^4}{(80x^2-20y^2)(16x^2+4y^2)}$.

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

Simplify the following expression.

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

Simplify the expression $\frac{s^2+t^2+2st-u^2}{s^2-t^2-2tu-u^2}$ provided (s + t + u) ≠ 0.

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