Algebra · SSC CGL previous year questions

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2022 129 questions

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
Q702022 · 2 Dec 2022 · Shift 4
Which of the following statement is correct? I. The value of $10 0^{2} - 9 9^{2} + 9 8^{2} - 9 7^{2} + 9 6^{2} - 9 5^{2} + 9 4^{2} - 9 3^{2} + \dots + 2^{2} - 1^{2}$ is 5050. II. If $8 x + \frac{8}{x} = - 16$ and x < 0, then the value of $x^{197} + x^{- 197}$ is 2.
1. A.Only I
2. B.Only II
3. C.Both I and II
4. D.Neither I nor II
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Answer: A
Q642022 · 1 Dec 2022 · Shift 1
If $x^{2} - 5 x + 1 = 0$ , then the value of $\frac{x ^{6} + x ^{4} + x ^{2} + 1}{5 x ^{3}}$ = ?
1. A.30
2. B.25
3. C.23
4. D.28
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Answer: C
Q662022 · 1 Dec 2022 · Shift 1
If $\frac{( 17 ) ^{3} + ( 7 ) ^{3}}{( 1 7 ^{2} + 7 ^{2} - k )} = 24$ , then what is the value of k?
1. A.119
2. B.128
3. C.24
4. D.109
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Answer: A
Q742022 · 1 Dec 2022 · Shift 1
If $\frac{4 [( 17 ) ^{3} - ( 7 ) ^{3} ]}{( 1 7 ^{2} + 7 ^{2} + p )} = 40$ , then what is the value of p?
1. A.-119
2. B.-129
3. C.119
4. D.129
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Answer: C
Q512022 · 1 Dec 2022 · Shift 2
x is a negative number such that $k + k^{- 1} = - 2$ , then what is the value of $\frac{k ^{2} + 4 k - 2}{k ^{2} + k - 5}$ ?
1. A.7
2. B.1
3. C.-7
4. D.-1
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Answer: B
Q522022 · 1 Dec 2022 · Shift 2
If $(x + \frac{1}{x}) = 52$ , then what is the value of $(x^{4} + x^{- 4})$ ?
1. A.2542
2. B.2650
3. C.2452
4. D.2302
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Answer: D
Q562022 · 1 Dec 2022 · Shift 2
What will be the value of $\frac{s i n 3 0 ^{\circ} s i n 4 0 ^{\circ} s i n 5 0 ^{\circ} s i n 6 0 ^{\circ}}{c o s 3 0 ^{\circ} c o s 4 0 ^{\circ} c o s 5 0 ^{\circ} c o s 6 0 ^{\circ}}$ ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q532022 · 1 Dec 2022 · Shift 3
If a + b =11 and ab = 35, then what is the value of (a 4 + b 4)?
1. A.151
2. B.261
3. C.124
4. D.102
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Answer: A