Algebra · SSC CGL previous year questions

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2023 93 questions

Q742023 · 21 Jul 2023 · Shift 2
What is the value of (27x3 + 58x2y + 31xy2 + 8y3), when x = 5 and y = -7?
1. A.1924
2. B.-1926
3. C.-1924
4. D.1926
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Answer: C
Q582023 · 21 Jul 2023 · Shift 3
The value of (16 + 14) ÷ 2 - 12 + 16 × 4 - 28 + 13 (-16 + 13) is:
1. A.6
2. B.0
3. C.-3
4. D.3
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Answer: B
Q602023 · 21 Jul 2023 · Shift 3
If x and y are positive numbers such that x - y = 5 and xy = 150, then the value of (x + y) is:
1. A.45
2. B.25
3. C.35
4. D.15
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Answer: B
Q612023 · 21 Jul 2023 · Shift 3
The value of $\frac{3}{2} \div \frac{1}{7} \times [(\frac{1}{2} - \frac{1}{3}) \div \frac{1}{42}] =$ ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q742023 · 21 Jul 2023 · Shift 3
If (x2 - ) = 4 , and x > 1, what is the value of (x3 - )?
1. A.20
2. B.24
3. C.18
4. D.22
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Answer: D
Q522023 · 21 Jul 2023 · Shift 4
If 28 ∶ 98 ∶∶ 98 ∶ y, find the value of y.
1. A.333
2. B.338
3. C.348
4. D.343
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Answer: D
Q542023 · 21 Jul 2023 · Shift 4
Find the value of a to make 6234a6 divisible by 9.
1. A.8
2. B.7
3. C.10
4. D.6
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Answer: D
Q552023 · 21 Jul 2023 · Shift 4
If (a - b) = 1, then what is the value of (a3 - b3)?
1. A.a2 + ab + b2
2. B.(a + b)2 + 3ab
3. C.a2 - ab + b2
4. D.a2 + 2ab + b2
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Answer: A
Q692023 · 21 Jul 2023 · Shift 4
What is the value of 64x3 + 36x2y + 24xy2 + 2y3, when x = 3 and y = -4?
1. A.304
2. B.1456
3. C.1584
4. D.432
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Answer: B
Q742023 · 21 Jul 2023 · Shift 4
If (x2 + ) = 18, and x > 0, what is the value of (x3 + )?
1. A.36
2. B.40
3. C.46
4. D.34
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Answer: D
Q672023 · 20 Jul 2023 · Shift 1
If (a3 + b3 + c3 - 3abc) = 405, and (a + b + c) = 15, find the value of (a - b)2 + (b - c)2+(c - a)2.
1. A.27
2. B.54
3. C.18
4. D.45
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Answer: B
Q532023 · 20 Jul 2023 · Shift 2
If x > 0 and , what is the value of ?
1. A.1561
2. B.1563
3. C.1560
4. D.1562
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Answer: A
Q672023 · 20 Jul 2023 · Shift 2
If x + y + z = 4 and x2 + y2 + z2 = 12, then find xy + yz + xz.
1. A.4
2. B.6
3. C.7
4. D.2
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Answer: D
Q682023 · 20 Jul 2023 · Shift 2
If $(5 y + \frac{5}{y}) = 11$ , find the value of $(y^{2} + \frac{1}{y ^{2}})$ .
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q722023 · 20 Jul 2023 · Shift 3
If $(x - \frac{1}{x}) = 22$ , and x > 1, what is the value of $(x^{6} - \frac{1}{x ^{6}})$ ?
1. A.372√6
2. B.384√6
3. C.396√6
4. D.420√6
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Answer: C
Q732023 · 20 Jul 2023 · Shift 3
If $(2 y + \frac{2}{y}) = 7$ , find the value of $(y^{2} + \frac{1}{y ^{2}})$ .
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q532023 · 20 Jul 2023 · Shift 4
If (X - ) = 6, and x > 0, find the value of (x2 - ).
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q602023 · 20 Jul 2023 · Shift 4
If (x + ) = 3 , and x > 1, what is the value of (x8 - )?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q672023 · 20 Jul 2023 · Shift 4
Find the value of $\frac{c o s 4 1 ^{\circ}}{s i n 4 9 ^{\circ}} + \frac{s i n 5 1 ^{\circ}}{c o s 3 9 ^{\circ}}$
1. A.4
2. B.2
3. C.3
4. D.1
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Answer: B
Q512023 · 19 Jul 2023 · Shift 1
An 11-digit number 7823326867X is divisible by 18. What is the value of X?
1. A.6
2. B.4
3. C.8
4. D.2
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Answer: D
Q542023 · 19 Jul 2023 · Shift 1
If $(x + \frac{1}{x}) = 22$ and x > 1, what is the value of $(x^{6} - \frac{1}{x ^{6}})$ ?
1. A.140√2
2. B.116√2
3. C.144√2
4. D.128√2
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Answer: A
Q552023 · 19 Jul 2023 · Shift 1
If $\frac{s i n x - c o s x}{s i n x + c o s x} = \frac{2}{5}$ , then the value of $\frac{1 + c o t ^{2} x}{1 - c o t ^{2} x}$ is:
1. A.2.25
2. B.1.45
3. C.3.75
4. D.5.25
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Answer: B
Q702023 · 19 Jul 2023 · Shift 1
A varies directly as (B + 18) and A = 108 when B = 36. Find the value of A when B = 68.
1. A.75
2. B.86
3. C.127
4. D.172
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Answer: D
Q742023 · 19 Jul 2023 · Shift 1
If , then what will be the value of A? (0° < θ < 90°)
1. A.90°
2. B.45°
3. C.60°
4. D.30°
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Answer: C
Q542023 · 19 Jul 2023 · Shift 2
If (a + b + c) = 12, and (a² + b² + c²) = 50, find the value of (a³ + b³ + c³ – 3abc).
1. A.36
2. B.24
3. C.42
4. D.48
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Answer: A