Algebra · SSC CGL previous year questions

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2024 120 questions

Q612024 · 13 Sept 2024 · Shift 1
If , then the value of p is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q672024 · 13 Sept 2024 · Shift 1
If 321y72 is a multiple of 6, where y is a digit, what is the least value of y?
1. A.0
2. B.7
3. C.2
4. D.3
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Answer: A
Q712024 · 13 Sept 2024 · Shift 1
The solution of the following equations is: 5x + 4y - 8z = 1 7x - 9y + z = -1 2x + 3y - 4z = 1
1. A.x = 1, y = 1, z = -1
2. B.x = 1, y = 1, z = 1
3. C.x = -1, y = 1, z = 1
4. D.x = 1, y = -1, z = 1
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Answer: B
Q622024 · 13 Sept 2024 · Shift 2
If $\frac{t a n ( x )}{s e c ( x )} = \frac{1}{2}$ , then the value of $(sin (x) + cos (x))^{2}$ is ______.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q642024 · 13 Sept 2024 · Shift 2
Let a + b = 1, then the value of $(\frac{1}{a ^{2}} + \frac{1}{b ^{2}} + \frac{2}{ab})$ is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
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
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Answer: B
Q692024 · 13 Sept 2024 · Shift 2
For which of the following values of a and b do the given equations have NO solution? 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
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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
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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
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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
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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
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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
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Answer: D
Q692024 · 12 Sept 2024 · Shift 1
If 28.9 : x :: x : 36.1, and x > 0, then find the value of x.
1. A.38.3
2. B.30.4
3. C.35
4. D.32.3
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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
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Answer: B
Q752024 · 12 Sept 2024 · Shift 1
1. A.2
2. B.−1
3. C.1
4. D.0 cosec cosec
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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
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Answer: A
Q752024 · 12 Sept 2024 · Shift 2
For the following equations, what are the values of a and b to have infinitely many solutions? 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
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Answer: A
Q542024 · 12 Sept 2024 · Shift 3
Which of the following is the sum of the values of a and b if the equations 2x + y = a, 8x + by = 12 have infinite solutions?
1. A.16
2. B.9
3. C.7
4. D.18
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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
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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
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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
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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
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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
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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
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Answer: B
Q662024 · 11 Sept 2024 · Shift 1
Solve the given set of three equations to get the value of the unknowns: 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
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Answer: C