Algebra · SSC CGL previous year questions

412 questions asked across 4 exam years, newest first

Year-wise papers Topic-wise questions

हिंदी में देखें Practise this topic

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
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
If x + 1⁄9x = 3, then the value of 9x2 + 1⁄9x2 is:
1. A.81
2. B.79
3. C.77
4. D.87
Show answer
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°
Show answer
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
Show answer
Answer: C
Q752024 · 10 Sept 2024 · Shift 1
The value of 15 ÷ 3 of 2 × 2 + 9 ÷ 18 of 2 × 4 − 4 ÷ 8 × 2 is:
1. A.5
2. B.23⁄4
3. C.73⁄4
4. D.8
Show answer
Answer: A
Q532024 · 10 Sept 2024 · Shift 2
Find the values of x, y and z, so as to satisfy the equations given below: 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
Show answer
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
Show answer
Answer: A
Q552024 · 10 Sept 2024 · Shift 3
If ∆PQR ≅ ∆MON such that ∠PQR = 82°, ∠QRP = 47°, ∠RPQ = 51°, ∠MON = (5y - 8)°, QR = 24 and ON = 3x + y, then find (x + y).
1. A.20
2. B.14
3. C.18
4. D.16
Show answer
Answer: A
Q562024 · 10 Sept 2024 · Shift 3
If 45 ÷ 3 + 4 × A – 48 ÷ 24 + 4 = 1, then the value of A is:
1. A.2
2. B.4
3. C.−4
4. D.−2
Show answer
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
Show answer
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
Show answer
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
Show answer
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
Show answer
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
Show answer
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
Show answer
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
Show answer
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
Show answer
Answer: C