Algebra · SSC CGL previous year questions

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2023 93 questions

Q552023 · 26 Jul 2023 · Shift 2
If (a3 + b3 + c3 - 3abc) = 405, and (a - b)2 + (b - c)2 + (c -a)2 = 54, find the value of (a + b + c).
1. A.15
2. B.45
3. C.9
4. D.27
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Answer: A
Q582023 · 26 Jul 2023 · Shift 2
A 9-digit number 846523X7Y is divisible by 9, and Y - X = 6. Find the value of .
1. A.4
2. B.2
3. C.6
4. D.8
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Answer: C
Q632023 · 26 Jul 2023 · Shift 2
If (a + b + c) = 13, and (ab + bc + ca) = 54, find the value of (a2 + b2 + c2).
1. A.63
2. B.65
3. C.61
4. D.59
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Answer: C
Q732023 · 26 Jul 2023 · Shift 2
If x + = 1, then the value of = ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q742023 · 26 Jul 2023 · Shift 2
What is the value of 6 - (6 ÷ 2 - 3 + 7 - 2) × [{3 - 2 ÷ 2} × 5 - 6]?
1. A.-4
2. B.-14
3. C.-12
4. D.-16
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Answer: B
Q552023 · 26 Jul 2023 · Shift 3
Find the value of $\frac{c o s ^{2} 1 5 ^{\circ} - s i n ^{2} 1 5 ^{\circ}}{c o s ^{2} 14 5 ^{\circ} + s i n ^{2} 14 5 ^{\circ}}$
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q582023 · 26 Jul 2023 · Shift 3
If $tan A = \frac{3}{8}$ , then the value of $\frac{3 s i n A + 2 c o s A}{3 s i n A - 2 c o s A}$ is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q602023 · 26 Jul 2023 · Shift 3
The value of $\frac{2}{3} - \frac{5}{6} \times \frac{4}{5} \div \frac{4}{3} + \frac{1}{2}$ is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q692023 · 26 Jul 2023 · Shift 3
If , and x > 1, what is the value of ?
1. A.120√3
2. B.128√3
3. C.112√3
4. D.108√3
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Answer: C
Q742023 · 26 Jul 2023 · Shift 3
If what is the value of ?
1. A.10404
2. B.1020√ 104
3. C.10406
4. D.10400
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Answer: B
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
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Answer: C