Other Quant · SSC CGL previous year questions

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2024 57 questions

Q552024 · 18 Sept 2024 · Shift 3
$sin A sin B =$ ______.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q602024 · 18 Sept 2024 · Shift 3
If 3a + 2b = 27 and 27a³ + 8b³ = 1458, then find 2ab.
1. A.72
2. B.75
3. C.70
4. D.77
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Answer: B
Q622024 · 18 Sept 2024 · Shift 3
The given expression is equivalent to:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q672024 · 18 Sept 2024 · Shift 3
A seller sold 19 cookies for ₹95 instead of 20 cookies in one kg, cheating a customer. What is the gain (in ₹) if the seller bought the cookies for ₹76?
1. A.22.8
2. B.28.2
3. C.26.2
4. D.25.8
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Answer: A
Q712024 · 18 Sept 2024 · Shift 3
If A:B = 6:8 and B:C = 7:12, then A:B:C is:
1. A.21:28:48
2. B.21:32:40
3. C.14:31:20
4. D.11:23:40
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Answer: A
Q532024 · 17 Sept 2024 · Shift 1
If A:B = 6 : 8 and B:C = 7 : 10, then A:B:C is:
1. A.14:31:20
2. B.21:23:40
3. C.21:28:40
4. D.23:32:40 cosec
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Answer: C
Q562024 · 17 Sept 2024 · Shift 1
If x > 1 and $x^{2} + \frac{1}{x ^{2}} = 83$ , then $x^{3} - \frac{1}{x ^{3}}$ is:
1. A.876
2. B.884
3. C.756
4. D.754
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Answer: C
Q572024 · 17 Sept 2024 · Shift 1
The circumference of the base of a cylindrical vessel is 44 cm and its height is 25 cm. How many liters of water can it hold? (Take π = 22/7)
1. A.3.85
2. B.83.5
3. C.3.58
4. D.38.5
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Answer: A
Q562024 · 17 Sept 2024 · Shift 2
If $a = x cos θ + y sin θ$ and $b = x sin θ - y cos θ$ , then $a^{2} + b^{2}$ is equal to:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q632024 · 17 Sept 2024 · Shift 2
In a rhombus PQRS, O is any interior point such that OP = OR. What is the degree measure of ?
1. A.240°
2. B.120°
3. C.180°
4. D.200°
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Answer: C
Q662024 · 17 Sept 2024 · Shift 2
If $8 a^{3} + b^{3} + 27 c^{3} = 18 ab c$ , then the relation among a, b, and c is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q512024 · 17 Sept 2024 · Shift 3
If $tan (A) = \frac{3}{5}$ , then $cos (A)$ is equal to:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q682024 · 17 Sept 2024 · Shift 3
A function of two variable varies directly with x and inversely with y. Determine function when x = 5 and y = 3. Given that, for x = 0 and y = 1, f = 15 and for x = 1 and y = 15, f = 2.
1. A.2
2. B.15
3. C.5
4. D.10
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Answer: D
Q542024 · 13 Sept 2024 · Shift 1
If △PQR ≅ △ABC, AB = 6 cm, ∠B = 50° and ∠A = 70°, then which of the following is true?
1. A.QR = 6 cm, ∠R = 60°
2. B.QR = 6 cm, ∠Q = 60°
3. C.QP = 6 cm, ∠P = 60°
4. D.QP = 6 cm, ∠R = 60°
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Answer: D
Q682024 · 13 Sept 2024 · Shift 1
If A:B = 6:8 and B:C = 5:10, then A:B:C is:
1. A.1:2:4
2. B.3:4:8
3. C.4:3:2
4. D.1:3:4
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Answer: B
Q572024 · 12 Sept 2024 · Shift 2
If m + n = 24, then (m - 16)³ + (n - 8)³ is ____.
1. A.0
2. B.320
3. C.576
4. D.40
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Answer: A
Q582024 · 12 Sept 2024 · Shift 2
Solve the following: $\frac{1}{1 + c o s θ} + \frac{1}{1 - c o s θ} =$ ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: C
Q602024 · 12 Sept 2024 · Shift 2
Solve the following: $[(2.5 + 1.5)^{2} \div 4 of \frac{1}{2} \times 8 - 1]$
1. A.63
2. B.81
3. C.27.1
4. D.0
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Answer: A
Q632024 · 12 Sept 2024 · Shift 2
If $7 tan θ = 3$ , then $\frac{7 s i n θ + 5 c o s θ}{7 s i n θ - 2 c o s θ}$ is:
1. A.8
2. B.6
3. C.5
4. D.7
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Answer: A
Q512024 · 11 Sept 2024 · Shift 1
In a rhombus ABCD, O is any interior point such that OA = OC. What is five-ninths of the degree measure of ∠DOB?
1. A.150°
2. B.100°
3. C.90°
4. D.120°
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Answer: B
Q702024 · 11 Sept 2024 · Shift 1
Mrudula starts her job with a certain monthly salary and earns a fixed increment every year. If her salary was ₹28,400 after six years of service and ₹52,997 after fifteen years, find her annual increment.
1. A.₹1,824
2. B.₹12,002
3. C.₹1,200
4. D.₹2,733
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Answer: D
Q642024 · 11 Sept 2024 · Shift 2
△ABC and △RPQ are congruent, then the side of △ABC that corresponds to PQ is:
1. A.BC
2. B.AR
3. C.CA
4. D.AB
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Answer: A
Q532024 · 11 Sept 2024 · Shift 3
Naman bought few apples for ₹720 from a shop. He negotiated the price and the shopkeeper reduced it by ₹2 per apple. Due to this, Naman could buy four more apples than what he had bought earlier. How many apples did he originally buy?
1. A.36
2. B.44
3. C.40
4. D.48
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Answer: A
Q702024 · 11 Sept 2024 · Shift 3
In a △LMN, ∠L = 118° and LM = LN. Find ∠N.
1. A.31°
2. B.62°
3. C.42°
4. D.65°
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Answer: A
Q542024 · 10 Sept 2024 · Shift 1
$\frac{2 + t a n ^{2} 2 A + c o t ^{2} 2 A}{s e c 2 A \cdot cosec 2 A}$ is equal to ______.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: A