Algebra · SSC CGL previous year questions

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2023 93 questions

Q672023 · 24 Jul 2023 · Shift 4
If (4y - ) = 13, find the value of (y2 + ).
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: C
Q742023 · 24 Jul 2023 · Shift 4
If $x + \frac{1}{x} = 9$ , then find $x^{4} + \frac{1}{x ^{4}}$ .
1. A.5431
2. B.6561
3. C.6156
4. D.6239
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Answer: D
Q752023 · 24 Jul 2023 · Shift 4
Find the value of k if 13 - [10 - {16 + 8 ÷ (k - 2)} + 2] = 20.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q542023 · 21 Jul 2023 · Shift 1
If x + y = 7 and xy = 19, then calculate the value of x2 + y2.
1. A.17
2. B.12
3. C.11
4. D.19
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Answer: C
Q582023 · 21 Jul 2023 · Shift 1
If (a + b + c) = 12, and (ab + bc + ca) = 47, find the value of (a3 + b3 + c3 - 3abc).
1. A.24
2. B.36
3. C.48
4. D.42
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Answer: B
Q592023 · 21 Jul 2023 · Shift 1
Find the value of the given expression: 10 ÷ 5 × 1 + 3 - [8 - {5 - (7 - 7 - 9)}]
1. A.11
2. B.10
3. C.9
4. D.8
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Answer: A
Q602023 · 21 Jul 2023 · Shift 2
The value of (32)2 + 3 × 3 ÷ 3 - 3 is:
1. A.32
2. B.92
3. C.23
4. D.30
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Answer: B
Q642023 · 21 Jul 2023 · Shift 2
What is the value of $(\frac{1}{a} - \frac{1}{b} - \frac{1}{c})$ if, $\frac{2 a - 5}{a} - \frac{4 b - 5}{b} + \frac{6 c + 5}{c} = 0$ ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: A
Q672023 · 21 Jul 2023 · Shift 2
If , what is the value of ?
1. A.1030
2. B.960
3. C.1000
4. D.970
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Answer: D
Q722023 · 21 Jul 2023 · Shift 2
Find the value of $\frac{1 - s i n 3 θ}{1 + s i n 3 θ}$
1. A.sec 3θ - tan 3θ
2. B.(sec 3θ - tan 3θ)3
3. C.( sec 3θ - tan 3θ)2
4. D.sec 3θ + tan 3θ
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Answer: A
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
Show answer
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
Show answer
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
Show answer
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
Show answer
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
Show answer
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
Show answer
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
Show answer
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
Show answer
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
Show answer
Answer: C