Number System · SSC CGL previous year questions

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2023 64 questions

Q512023 · 26 Jul 2023 · Shift 3
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
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Answer: D
Q572023 · 26 Jul 2023 · Shift 3
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
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Answer: A
Q732023 · 26 Jul 2023 · Shift 4
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
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Answer: C
Q592023 · 25 Jul 2023 · Shift 1
Find the remainder when 88 + 6 is divided by 7.
1. A.0
2. B.2
3. C.3
4. D.1
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Answer: A
Q612023 · 25 Jul 2023 · Shift 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
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Answer: C
Q612023 · 25 Jul 2023 · Shift 2
Which of the following numbers is divisible by 8?
1. A.18718
2. B.18716
3. C.18712
4. D.18714
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Answer: C
Q692023 · 25 Jul 2023 · Shift 2
Which of the following numbers is divisible by 99?
1. A.31548
2. B.60687
3. C.44775
4. D.84456
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Answer: B
Q702023 · 25 Jul 2023 · Shift 2
Simplify $\frac{256 x ^{4} - 16 y ^{4}}{( 80 x ^{2} - 20 y ^{2} ) ( 16 x ^{2} + 4 y ^{2} )}$ .
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q522023 · 25 Jul 2023 · Shift 3
Simplify the following expression.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q612023 · 25 Jul 2023 · Shift 4
Simplify the expression $\frac{s ^{2} + t ^{2} + 2 s t - u ^{2}}{s ^{2} - t ^{2} - 2 t u - u ^{2}}$ provided (s + t + u) ≠ 0.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q742023 · 25 Jul 2023 · Shift 4
Which of the following numbers is divisible by 44?
1. A.32802
2. B.54736
3. C.93472
4. D.27048
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Answer: B
Q752023 · 25 Jul 2023 · Shift 4
Simplify the expression $\frac{x - y}{x + y}$ where x = 2 and y = 3.
1. A.2 - 6
2. B.- 5
3. C.5 - 2
4. D.2 - 5
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Answer: D
Q522023 · 24 Jul 2023 · Shift 3
Simplify the following. $\frac{0.01 \times 0.01 \times 0.01 + 0.003 \times 0.003 \times 0.003}{0.05 \times 0.05 - 0.015 \times 0.05 + 0.015 \times 0.015}$
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q662023 · 24 Jul 2023 · Shift 3
Simplify the following expression. 2 + (30 - 26)2 ÷ 83-2 × 0.5
1. A.2
2. B.1
3. C.3
4. D.0
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Answer: C
Q682023 · 24 Jul 2023 · Shift 3
Simplify the given expression. 15 - (-5) × {4 - (7 - 3)} ÷ [3 × {5 + (-3) × (-6)}]
1. A.21
2. B.15
3. C.88
4. D.125
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Answer: B
Q552023 · 24 Jul 2023 · Shift 4
Simplify $\frac{1}{2 + 2 p} + \frac{1}{2 + 2 q} + \frac{1}{2 + 2 r}$ , where $p = \frac{x}{y + z}$ , if $q = \frac{y}{z + x}$ and $r = \frac{z}{x + y}$ .
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: A
Q612023 · 24 Jul 2023 · Shift 4
Simplify: 220 + 80 ÷ [63 - {7 × 8 + (13 - 2 × 4)}]
1. A.260
2. B.270
3. C.240
4. D.250
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Answer: A
Q632023 · 24 Jul 2023 · Shift 4
Simplify the given expression.
1. A.3
2. B.1
3. C.2
4. D.4
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Answer: C
Q572023 · 21 Jul 2023 · Shift 1
Simplify the given expression. (a - 2b) (b - 3a) + (a + b) (a - 3b) - (b - 3a) (4a-5b)
1. A.8a2 - 10ab
2. B.8a2 + 10ab
3. C.10a2 - 14ab
4. D.10a2 - 4ab
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Answer: C
Q522023 · 21 Jul 2023 · Shift 2
Simplify $264 - [142 - {75 + (38 - (\frac{5}{4} + \frac{11}{4}))}]$
1. A.231
2. B.230
3. C.232
4. D.234
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Answer: A
Q512023 · 21 Jul 2023 · Shift 3
Simplify the following expression. [(1 + p)(1 + p2)(1 + p4)(1 + p8)(1 + p16)(1 - p) - 1]
1. A.-p32
2. B.p32
3. C.(1 + p32)
4. D.(1 - p32 )
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Answer: A
Q672023 · 21 Jul 2023 · Shift 3
Simplify the following expression.
1. A.tanθ
2. B.sinθ
3. C.secθ
4. D.cosθ
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Answer: A
Q572023 · 21 Jul 2023 · Shift 4
Simplify $\frac{1 + s i n t}{4 - 4 s i n t} - \frac{1 - s i n t}{4 + 4 s i n t}$
1. A.4tan t . sin t
2. B.tan t . sec t
3. C.tan t - sin t
4. D.tan t + sin t
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Answer: B
Q622023 · 21 Jul 2023 · Shift 4
What is the smallest number that can be added to 9454351626 so that it becomes divisible by 11?
1. A.1
2. B.6
3. C.5
4. D.4
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Answer: B
Q562023 · 20 Jul 2023 · Shift 1
Which of the following numbers is divisible by 11?
1. A.97174
2. B.17295
3. C.56923
4. D.63962
Show answer
Answer: A