Algebra · SSC CGL previous year questions

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2024 120 questions

Q582024 · 11 Sept 2024 · Shift 2
Find the value of: $[\frac{4}{3} tan^{2} 6 0^{\circ} + 3 cos^{2} 3 0^{\circ} - 2 sec^{2} 3 0^{\circ} - \frac{3}{4} cot^{2} 6 0^{\circ}] \div [sin 6 0^{\circ} cos 3 0^{\circ} - cos 6 0^{\circ} sin 3 0^{\circ}]$
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q622024 · 11 Sept 2024 · Shift 2
Evaluate the value of $(cosec 5 6^{\circ} cos 3 4^{\circ} - cos 5 9^{\circ} cosec 3 1^{\circ})$ .
1. A.2
2. B.0
3. C.1
4. D.−1
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Answer: B
Q632024 · 11 Sept 2024 · Shift 2
The value of the expression $(1.5 5^{2} + 0.5 5^{2} + 1.55 \times 0.55)$ 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
Q652024 · 11 Sept 2024 · Shift 2
If 0.4x + 0.16y = 1.7 and 0.3x + 0.12y = 3.4, then which of the following is correct?
1. A.The system has unique solution.
2. B.The system has finitely many solutions but not unique.
3. C.The system has infinitely many solutions.
4. D.The system has no solution. cosec cosec
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Answer: D
Q612024 · 11 Sept 2024 · Shift 3
यदि x + 1⁄9x = 3 हो, तो 9x2 + 1⁄9x2 का मान ज्ञात कीजिए।
1. A.81
2. B.79
3. C.77
4. D.87
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Answer: B
Q752024 · 11 Sept 2024 · Shift 3
In a $△$ ABC, if $\frac{1}{2} ∠ A + ∠ B + ∠ C = 12 0^{\circ}$ , then the value of $\frac{1}{4} ∠ A$ is:
1. A.30°
2. B.60°
3. C.20°
4. D.40°
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Answer: A
Q682024 · 10 Sept 2024 · Shift 1
If , then find the value of .
1. A.146
2. B.140
3. C.142
4. D.144
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Answer: C
Q752024 · 10 Sept 2024 · Shift 1
15 ÷ 3 of 2 × 2 + 9 ÷ 18 of 2 × 4 − 4 ÷ 8 × 2 का मान ज्ञात करें।
1. A.5
2. B.23⁄4
3. C.73⁄4
4. D.8
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Answer: A
Q532024 · 10 Sept 2024 · Shift 2
x, y और z के वे मान ज्ञात करें, जिससे नीचे दिए गए समीकरणों को संतुष्ट किया जा सके: x + y + z = 12; x + y − z = 6; x − y + z = 4
1. A.x = 5, y = 4, z = −3
2. B.x = 5, y = −4, z = 3
3. C.x = 5, y = −4, z = −3
4. D.x = 5, y = 4, z = 3
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Answer: D
Q632024 · 10 Sept 2024 · Shift 2
If $x + \frac{1}{x} = 7$ , then the value of $x + \frac{1}{x}$ is equal to:
1. A.47
2. B.51
3. C.45
4. D.49
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Answer: A
Q552024 · 10 Sept 2024 · Shift 3
यदि ∆PQR ≅ ∆MON इस प्रकार है कि ∠PQR = 82°, ∠QRP = 47°, ∠RPQ = 51°, ∠MON = (5y - 8)°, QR = 24 और ON = 3x + y है, तो (x + y) ज्ञात करें।
1. A.20
2. B.14
3. C.18
4. D.16
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Answer: A
Q562024 · 10 Sept 2024 · Shift 3
यदि 45 ÷ 3 + 4 × A – 48 ÷ 24 + 4 = 1 है, तो A का मान क्या होगा?
1. A.2
2. B.4
3. C.−4
4. D.−2
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Answer: C
Q682024 · 10 Sept 2024 · Shift 3
If $x^{2} + y^{2} = 280$ and $x y = 120$ , then find the value of $\frac{x - y}{x + y}$ .
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q692024 · 10 Sept 2024 · Shift 3
If , , then what is the value of ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q702024 · 10 Sept 2024 · Shift 3
For what value of k will the lines 2x + 7ky – 8 = 0 and x + y – 9 = 0 have no solution?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q552024 · 9 Sept 2024 · Shift 3
If x, y and z are positive numbers and x + y + z = 1, then the least value of $\frac{1}{x} + \frac{1}{y} + \frac{1}{z}$ is:
1. A.11
2. B.7
3. C.5
4. D.9
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Answer: D
Q592024 · 9 Sept 2024 · Shift 3
If 7845K854 is divisible by 11, then what is the value of K?
1. A.9
2. B.8
3. C.6
4. D.7
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Answer: A
Q642024 · 9 Sept 2024 · Shift 3
If $\frac{7 s i n θ + 4 c o s θ}{9 s i n θ - 2 c o s θ} = \frac{5}{4}$ , then the value of $\frac{t a n ^{2} θ + 5}{t a n ^{2} θ - 5}$ is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q652024 · 9 Sept 2024 · Shift 3
If the equations 4x + (k − 2)y + 3 = 0 and (k − 2)x + 9y − 5 = 0 (k > 0) are parallel, then find the value of k2 + 6.
1. A.72
2. B.68
3. C.70
4. D.64
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Answer: C
Q722024 · 9 Sept 2024 · Shift 3
If , then find the value of .
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C