Algebra · SSC CGL previous year questions

412 questions asked across 4 exam years, newest first

Year-wise papers Topic-wise questions

English Practise this topic

2024 120 questions

Q652024 · 13 Sept 2024 · Shift 2
If , what is the value of ? Given that
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: B
Q692024 · 13 Sept 2024 · Shift 2
निम्नलिखित में से a और b के किन मानों के लिए दिए गए समीकरणों में कोई हल नहीं है? x − ay = 2 − a (1 − a)x + 6y = a + b
1. A.a = 3, b ≠ 1
2. B.a = −3, b ≠ 1
3. C.a = −3, b ≠ −1
4. D.a = 3, b ≠ −1
Show answer
Answer: D
Q722024 · 13 Sept 2024 · Shift 2
If , then find the value of .
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: B
Q632024 · 13 Sept 2024 · Shift 3
The value of , when , is:
1. A.3
2. B.4
3. C.1
4. D.2
Show answer
Answer: A
Q702024 · 13 Sept 2024 · Shift 3
If $m = a sec A$ and $y = b tan A$ , then find the value of: $b^{2} m^{2} - a^{2} y^{2} + \frac{a ^{2} y ^{2}}{b ^{2} m ^{2}} + cos^{2} A$ .
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 1
Let $t = \frac{2}{5}$ , then the value of the expression $t^{3} + (\frac{3}{5})^{3} + \frac{9}{5} t$ is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: D
Q662024 · 12 Sept 2024 · Shift 1
If $x + \frac{1}{x} = 15$ , then the value of $\frac{7 x ^{2} - 9 x + 7}{x ^{2} - x + 1}$ is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: D
Q692024 · 12 Sept 2024 · Shift 1
यदि 28.9 : x :: x : 36.1, और x > 0 है, तो x का मान ज्ञात करें।
1. A.38.3
2. B.30.4
3. C.35
4. D.32.3
Show answer
Answer: D
Q722024 · 12 Sept 2024 · Shift 1
Find the value of the following expression.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: B
Q752024 · 12 Sept 2024 · Shift 1
1. A.2
2. B.−1
3. C.1
4. D.0 cosec cosec
Show answer
Answer: B
Q722024 · 12 Sept 2024 · Shift 2
If $cot^{4} ϕ - cot^{2} ϕ = 1$ , then the value of $cos^{4} ϕ + cos^{2} ϕ$ is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: A
Q752024 · 12 Sept 2024 · Shift 2
निम्नलिखित समीकरणों के लिए a और b के मान क्या हैं, जिनके अपरिमित रूप से अनेक हल हों? ax + by = 2 3x - (5 - 2a)y = 6
1. A.a = 1, b = -1
2. B.a = -1, b = -1
3. C.a = -1, b = 1
4. D.a = 1, b = 1
Show answer
Answer: A
Q542024 · 12 Sept 2024 · Shift 3
यदि समीकरणों 2x + y = a, 8x + by = 12 के अनंत हल है, तो a और b के मान का योग निम्नलिखित में से कौन-सा है?
1. A.16
2. B.9
3. C.7
4. D.18
Show answer
Answer: C
Q622024 · 12 Sept 2024 · Shift 3
If $a^{2} + b^{2} + c^{2} = 2 (a + c - 1)$ , then the value of $a^{3} + b^{3} + c^{3} =$ ?
1. A.0
2. B.2
3. C.4
4. D.1
Show answer
Answer: B
Q642024 · 12 Sept 2024 · Shift 3
Find the values of , , and , so as to satisfy the equations given below:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: C
Q672024 · 12 Sept 2024 · Shift 3
Find the exact value of .
1. A.1.5
2. B.0.5
3. C.0.75
4. D.-0.5
Show answer
Answer: B
Q742024 · 12 Sept 2024 · Shift 3
If $7 cos A = 6$ , then the numerical value of $\frac{cosec A + c o t A}{cosec A - c o t A}$ is:
1. A.1
2. B.0
3. C.13
4. D.−13
Show answer
Answer: C
Q552024 · 11 Sept 2024 · Shift 1
Find the value of $\frac{s e c 3 5 ^{\circ}}{cosec 5 5 ^{\circ}} - \frac{c o s 2 5 ^{\circ}}{s i n 6 5 ^{\circ}}$ .
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: B
Q562024 · 11 Sept 2024 · Shift 1
If $x + \frac{1}{x} = 210$ , where x > 1, then the value of $(x^{3} - \frac{1}{x ^{3}})$ is:
1. A.198
2. B.234
3. C.216
4. D.221
Show answer
Answer: B
Q662024 · 11 Sept 2024 · Shift 1
अज्ञात मान प्राप्त करने के लिए दिए गए तीन समीकरणों के समूह को हल कीजिए: x + 2z = 3 x + 2y + 3z = 5 3x - 5z = -13
1. A.x = 0, y = -1, z = 2
2. B.x = 2, y = 0, z = -1
3. C.x = -1, y = 0, z = 2
4. D.x = -1, y = 2, z = 0
Show answer
Answer: C
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
Show answer
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
Show answer
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
Show answer
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
Show answer
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
Show answer
Answer: B