Number System · SSC CGL previous year questions

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2024 71 questions

Q672024 · 26 Sept 2024 · Shift 3
is divisible by which of the following given numbers?
1. A.5
2. B.2
3. C.4
4. D.3 cosec cosec
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Answer: D
Q722024 · 26 Sept 2024 · Shift 3
Simplify $\frac{4 x ^{2} - 49 y ^{2}}{2 x + 7 y} + 7 y - 2 x$
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q542024 · 25 Sept 2024 · Shift 1
Evaluate $2 \cdot \frac{t a n 5 4 ^{\circ}}{c o t 3 6 ^{\circ}} - \frac{c o t 4 1 ^{\circ}}{t a n 4 9 ^{\circ}}$ .
1. A.0
2. B.-1
3. C.1
4. D.2
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Answer: C
Q662024 · 25 Sept 2024 · Shift 2
If m is even, then (8m - 1) is divisible by:
1. A.8
2. B.65
3. C.42
4. D.63
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Answer: D
Q732024 · 25 Sept 2024 · Shift 2
Simplify: [25 −48 ÷ 6 + 12 × 2] + 78 − [5 + 3 of (25 − 2 × 10)]
1. A.89
2. B.90
3. C.98
4. D.99
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Answer: D
Q682024 · 25 Sept 2024 · Shift 3
Which of the following numbers is divisible by 6?
1. A.62233
2. B.438750
3. C.12581
4. D.128530
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Answer: B
Q662024 · 24 Sept 2024 · Shift 1
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
Q532024 · 24 Sept 2024 · Shift 2
On dividing a number by 55, we get 28 as the remainder. On dividing the same number by 11, what is the remainder?
1. A.5
2. B.6
3. C.7
4. D.8
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Answer: B
Q662024 · 24 Sept 2024 · Shift 2
Simplify the following expression.
1. A.42
2. B.12
3. C.46
4. D.21
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Answer: C
Q512024 · 24 Sept 2024 · Shift 3
Which composite number can divide the sum of the first 12 natural numbers?
1. A.12
2. B.8
3. C.6
4. D.4
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Answer: C
Q722024 · 24 Sept 2024 · Shift 3
Simplify: $\frac{1 + s i n θ - c o s θ}{1 + s i n θ + c o s θ}$
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q552024 · 23 Sept 2024 · Shift 1
Simplify. $\frac{( 232 ) ^{3} + ( 140 ) ^{3} + ( 353 ) ^{3} - 3 \times 232 \times 140 \times 353}{( 232 ) ^{2} + ( 140 ) ^{2} + ( 353 ) ^{2} - 232 \times 140 - 140 \times 353 - 353 \times 232}$
1. A.725
2. B.596
3. C.445
4. D.261
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Answer: A
Q572024 · 23 Sept 2024 · Shift 1
Simplify 6 × [28 ÷ 84 × {36 × 49 ÷ (6 × 7)}].
1. A.94
2. B.84
3. C.64
4. D.74
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Answer: B
Q592024 · 23 Sept 2024 · Shift 1
Aman has certain number of notes of denomination ₹20 and ₹10 which amount to ₹390. If the numbers of notes of each kind are interchanged, then the new amount is ₹90 less than before. Find the number of notes of ₹20 denomination.
1. A.16
2. B.14
3. C.15
4. D.12
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Answer: A
Q522024 · 23 Sept 2024 · Shift 3
Simplify the following expression: 0.07 × 0.28 ÷ 0.04 + 0.64 − 1.64 ÷ 0.04
1. A.36.78
2. B.-39.87
3. C.38.56
4. D.-46.48
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Answer: B
Q672024 · 23 Sept 2024 · Shift 3
The number 4,29,714 is divisible by:
1. A.6 and 5
2. B.3 and 6
3. C.4 and 6
4. D.3 and 5
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Answer: B
Q572024 · 19 Sept 2024 · Shift 1
Each of Ravi and Kavita had some marbles. Kavita had 12 more marbles than Ravi had. If each of them had one more marble, then three times the number of marbles Kavita would then have had would have been equal to four times the number of marbles Ravi would then have had. How many marbles did Kavita actually have?
1. A.51
2. B.48
3. C.43
4. D.47
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Answer: D
Q632024 · 19 Sept 2024 · Shift 1
What number should be subtracted from $x^{3} - 4 x^{2} - 8 x + 11$ to make the number divisible by $(x + 2)$ ?
1. A.9
2. B.3
3. C.5
4. D.7
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Answer: B
Q532024 · 19 Sept 2024 · Shift 2
Simplify: $[1 - sin^{2} 3 2^{\circ} + \frac{1}{1 + t a n ^{2} 5 8 ^{\circ}}]$
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q652024 · 19 Sept 2024 · Shift 2
Simplify the following expression 25 ÷ 5 + 3 of 2 - 4 + 6 of 3 ÷ 2 - 8 + 4
1. A.8
2. B.16
3. C.12
4. D.4
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Answer: C
Q692024 · 19 Sept 2024 · Shift 2
From the given numbers A, B, C and D, which number is NOT divisible by 11? A = 712712 B = 177210 C = 64614 D = 756148
1. A.D
2. B.C
3. C.B
4. D.A
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Answer: A
Q632024 · 19 Sept 2024 · Shift 3
1. A.604
2. B.602
3. C.601
4. D.603
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Answer: C
Q642024 · 19 Sept 2024 · Shift 3
Which of the following numbers is NOT divisible by 8?
1. A.5544
2. B.7344
3. C.7497
4. D.4608
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Answer: C
Q592024 · 18 Sept 2024 · Shift 1
A number r when divided by 8 leaves remainder 3. What will be the remainder when (r² + 6r + 7) is divided by 8?
1. A.4
2. B.3
3. C.1
4. D.2
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Answer: D
Q602024 · 18 Sept 2024 · Shift 1
Simplify the following: $[(5 \frac{1}{2} - 3 \frac{1}{3}) of 1 \frac{5}{13} + 1 - 2 \times 3 \frac{5}{2} \div 2 \frac{3}{4}]$
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A