Algebra · SSC CGL previous year questions

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2022 129 questions

Q672022 · 5 Dec 2022 · Shift 4
If x 2− 2xy = 84 and x − y = −10, then the value of y is:
1. A.2
2. B.1
3. C.4
4. D.3
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Answer: C
Q742022 · 5 Dec 2022 · Shift 4
If the 9-digit number 83P93678Q is divisible by 72, then what is the value of $P^{2} + Q^{2} + 12$ ?
1. A.6
2. B.7
3. C.8
4. D.9
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Answer: C
Q622022 · 3 Dec 2022 · Shift 1
If $(4 a + \frac{5}{a} + 5) = 14$ , what is the value of $(16 a^{2} + \frac{25}{a ^{2}})$ ?
1. A.25
2. B.36
3. C.41
4. D.40
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Answer: C
Q672022 · 3 Dec 2022 · Shift 1
If $x - \frac{1}{x} = 13$ , what will be the value of $x^{4} + \frac{1}{x ^{4}}$ ?
1. A.28561
2. B.29243
3. C.27887
4. D.29239
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Answer: D
Q602022 · 3 Dec 2022 · Shift 2
If $x = 3 + 22, x > 0$ , then the value of $x - \frac{1}{x}$ is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q702022 · 3 Dec 2022 · Shift 2
If , then what is the value of ? (x < 0)
1. A.-2
2. B.-1
3. C.1
4. D.0
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Answer: D
Q722022 · 3 Dec 2022 · Shift 2
If x - y = 1 and $x^{2} + y^{2} = 41$ where $x, y \geq 0$ , then the value of x + y will be:
1. A.9
2. B.8
3. C.6
4. D.7
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Answer: A
Q732022 · 3 Dec 2022 · Shift 2
$△ X Y Z \sim △ GS T$ and XY : GS = 2 : 3, XV is the median to the side YZ, and GD is the median to the side ST. The value of $(\frac{Y V}{S D})^{2}$ is ______.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q612022 · 3 Dec 2022 · Shift 3
If 8a3 + 27b3 = 16 and 2a + 3b = 4, then find the value of 16a4 + 81b4.
1. A.26
2. B.30
3. C.28
4. D.32
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Answer: D
Q702022 · 3 Dec 2022 · Shift 3
The value of 95 × 105 is:
1. A.9981
2. B.9935
3. C.9965
4. D.9975
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Answer: D
Q732022 · 3 Dec 2022 · Shift 3
Find the value of the following expression. 123 + (-8)3 + (-4)3
1. A.952
2. B.1152
3. C.1052
4. D.852
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Answer: B
Q512022 · 3 Dec 2022 · Shift 4
The value of $\frac{1 + c o s A}{1 - c o s A}$ is:
1. A.sec A - tan A
2. B.cosec A + cot A
3. C.sec A + tan A
4. D.cosec A - cot A
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Answer: B
Q542022 · 3 Dec 2022 · Shift 4
(mx + n) is a factor of:
1. A.m 2x 2+ 2nx + n 2
2. B.m 2x 2+ 2mnx + n 2
3. C.m 2x 2+ 2mx + n 2
4. D.m 2x 2+ 2mn + n 2
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Answer: B
Q712022 · 3 Dec 2022 · Shift 4
If x + y + z = 0, then what is the value of $\frac{x ^{2}}{y z} + \frac{y ^{2}}{x z} + \frac{z ^{2}}{x y}$ ?
1. A.1
2. B.0
3. C.2
4. D.3
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Answer: D
Q722022 · 3 Dec 2022 · Shift 4
What is the possible value of (a + b + c) – 3 , if a 2+ b 2+ c 2= 9 and ab + bc + ca = 8?
1. A.5
2. B.3
3. C.9
4. D.2
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Answer: D
Q572022 · 2 Dec 2022 · Shift 1
If $x = \frac{5 - 2}{5 + 2}$ , then the value of $x^{2} + x^{- 2}$ is:
1. A.350
2. B.345
3. C.284
4. D.322
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Answer: D
Q592022 · 2 Dec 2022 · Shift 1
If , and , what is the value of ?
1. A.710649
2. B.710647
3. C.710654
4. D.710661
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Answer: B
Q622022 · 2 Dec 2022 · Shift 1
Simplify x + 3(y + x - 2) - (x + y).
1. A.x + 2y - 6
2. B.2x + y - 6
3. C.2x + 3y - 6
4. D.3x + 2y - 6
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Answer: D
Q752022 · 2 Dec 2022 · Shift 1
If the 4-digit number x67y is exactly divisible by 9, then the least value of (x + y) is_____.
1. A.9
2. B.0
3. C.5
4. D.3
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Answer: C
Q582022 · 2 Dec 2022 · Shift 3
If a + b + c = 6, a 2+ b 2+ c 2= 14 and ab + bc + ca = 11, then what is the value of a 3 + b 3 + c 3 - 3abc?
1. A.31
2. B.12
3. C.18
4. D.42
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Answer: C
Q692022 · 2 Dec 2022 · Shift 3
If $k^{4} + \frac{1}{k ^{4}} = 194$ , then what is the value of $k^{3} + \frac{1}{k ^{3}}$ ?
1. A.42
2. B.52
3. C.36
4. D.18
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Answer: B
Q542022 · 2 Dec 2022 · Shift 4
In the given figure, AB = DB and AC = DC. If ∠ABD = 58° and ∠DBC = (2x - 4)°, ∠ACB = (y + 15)° and ∠DCB = 63°, then the value of 2x + 5y is :
1. A.325
2. B.273
3. C.259
4. D.268
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Answer: B
Q582022 · 2 Dec 2022 · Shift 4
If $x + \frac{1}{x} = 8$ , then find the value of $\frac{5}{x ^{2} - 8 x + 2}$ .
1. A.3
2. B.4
3. C.0
4. D.5
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Answer: D
Q652022 · 2 Dec 2022 · Shift 4
If $\frac{( 1 - c o s θ )}{s i n θ} = \frac{1}{5}$ , then what will be the value of $\frac{( 1 + c o s θ )}{s i n θ}$ ?
1. A.5
2. B.2/5
3. C.4/5
4. D.1/5
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Answer: A
Q662022 · 2 Dec 2022 · Shift 4
If $K + \frac{1}{K} = 3$ , then what is the value of $\frac{1}{K ^{3}} + K^{3}$ ?
1. A.36
2. B.10
3. C.18
4. D.54
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Answer: C