Algebra · SSC CGL previous year questions

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2023 93 questions

Q522023 · 26 Jul 2023 · Shift 4
Find the value of the given expression 14 ÷ 7 × 1 + 3 - [18 - {15 - (7 - 7 - 2)}]
1. A.5
2. B.6
3. C.4
4. D.3
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Answer: C
Q552023 · 26 Jul 2023 · Shift 4
If (a + b + c) = 14, and (a3 + b3 + c3 - 3abc) = 98, find the value of (ab + bc + ca)
1. A.60
2. B.64
3. C.65
4. D.63
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Answer: D
Q692023 · 26 Jul 2023 · Shift 4
Expand and simplify the algebraic expression: (x - 5)2 + (x + 3)2 + 4x
1. A.2(x2 - 17)
2. B.2(x2 + 17)
3. C.(x2 + 17)
4. D.2(x2 - 5x + 17)
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Answer: B
Q602023 · 25 Jul 2023 · Shift 1
What value of 'y' will satisfy the following equation?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q652023 · 25 Jul 2023 · Shift 1
If $(y - \frac{1}{y}) = 4$ , find the value of $(y^{6} + \frac{1}{y ^{6}})$ .
1. A.5774
2. B.4096
3. C.5776
4. D.5778
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Answer: D
Q752023 · 25 Jul 2023 · Shift 1
If x2 - 15x + 1 = 0, what is the value of x4 - 223x2 + 6?
1. A.9
2. B.5
3. C.6
4. D.0
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Answer: B
Q572023 · 25 Jul 2023 · Shift 2
The value of which of the following is different from the other options?
1. A.sin 90°
2. B.sec 60°
3. C.cos 0°
4. D.tan 45°
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Answer: B
Q532023 · 25 Jul 2023 · Shift 3
The value of $\frac{1 + c o s θ}{1 - c o s θ}$ is:
1. A.sec θ + tan θ
2. B.cosec θ - cot θ
3. C.cosec θ + cot θ
4. D.sec θ - tan θ
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Answer: C
Q562023 · 25 Jul 2023 · Shift 3
If $(y + \frac{1}{y}) = 4$ , find the value of $(y^{6} + \frac{1}{y ^{6}})$
1. A.2702
2. B.2704
3. C.4096
4. D.2706
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Answer: A
Q642023 · 25 Jul 2023 · Shift 3
What is the remainder when (x17 + 1) is divided by (x + 1)?
1. A.x
2. B.x - 1
3. C.0
4. D.1
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Answer: C
Q672023 · 25 Jul 2023 · Shift 4
If (a + b - c) = 20, and a2+ b2 + c2 = 152, find the value of a3 + b3 - c3 + 3abc.
1. A.480
2. B.720
3. C.640
4. D.560
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Answer: D
Q512023 · 24 Jul 2023 · Shift 1
The value of $\frac{p ^{2} - ( q - r ) ^{2}}{( p + r ) ^{2} - q ^{2}} + \frac{q ^{2} - ( p - r ) ^{2}}{( p + q ) ^{2} - r ^{2}} + \frac{r ^{2} - ( p - q ) ^{2}}{( q + r ) ^{2} - p ^{2}}$ is:
1. A.1
2. B.2
3. C.0
4. D.3
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Answer: A
Q642023 · 24 Jul 2023 · Shift 1
What is the value of the given expression?
1. A.16
2. B.64
3. C.20
4. D.24
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Answer: A
Q652023 · 24 Jul 2023 · Shift 1
If 720 ÷ 8 + 915 ÷ 15 − m + 32 × 5 = 1104 ÷ 16 × 111 ÷ 37, then the value of m is:
1. A.104
2. B.518
3. C.207
4. D.311
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Answer: A
Q582023 · 24 Jul 2023 · Shift 3
If , then find the value of the expression .
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: C
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
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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
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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