Algebra · SSC CGL previous year questions

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2023 93 questions

Q682023 · 19 Jul 2023 · Shift 2
If (3y − 3/y) = 5, find the value of (y² + 1/y²).
1. A.47/9
2. B.49/9
3. C.41/9
4. D.43/9
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Answer: D
Q642023 · 19 Jul 2023 · Shift 3
If x² - 7x + 1 = 0, and 0 < x < 1, what is the value of x2 − 1/x²?
1. A.21√5
2. B.−21√5
3. C.28√5
4. D.−28√5
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Answer: B
Q622023 · 19 Jul 2023 · Shift 4
The mid points of AB and AC of a ΔABC are X and Y, respectively. If BC + XY = 18 units, then the value of BC - XY is:
1. A.12 cm
2. B.6 cm
3. C.8 cm
4. D.4 cm
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Answer: B
Q712023 · 19 Jul 2023 · Shift 4
If (a + b + c) = 20, and a2 + b2 + c2 = 152, find the value of a3 + b3 + c3 - 3abc.
1. A.560
2. B.640
3. C.480
4. D.720
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Answer: A
Q552023 · 18 Jul 2023 · Shift 2
The value of $(\frac{1}{s i n θ} + \frac{1}{t a n θ}) (\frac{1}{s i n θ} - \frac{1}{t a n θ})$ is:
1. A.0
2. B.2
3. C.3
4. D.1
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Answer: D
Q592023 · 18 Jul 2023 · Shift 2
If 405 : y :: y : 125, and y > 0, then find the value of y.
1. A.225
2. B.205
3. C.215
4. D.235
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Answer: A
Q652023 · 18 Jul 2023 · Shift 2
If , what will be the value of ?
1. A.-8898
2. B.-8896
3. C.-8886
4. D.-8892
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Answer: C
Q682023 · 18 Jul 2023 · Shift 2
If (a + b + c) = 19 and (a2 + b2 + c2) = 155, find the value of (a - b)2 + (b - c)2 + (c - a)2.
1. A.104
2. B.108
3. C.100
4. D.98
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Answer: A
Q512023 · 18 Jul 2023 · Shift 3
If $a^{2} + b^{2} + c^{2} = ab + b c + a c$ , then the value of $\frac{11 a ^{4} + 13 b ^{4} + 17 c ^{4}}{17 a ^{2} b ^{2} + 9 b ^{2} c ^{2} + 15 c ^{2} a ^{2}}$ is ?
1. A.1
2. B.2
3. C.11
4. D.4
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Answer: A
Q582023 · 18 Jul 2023 · Shift 3
The value of 51 ÷ {25 + (25 of 12 ÷ 30) − (54 ÷ 5 of 125)} is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q732023 · 18 Jul 2023 · Shift 3
If $(x + \frac{1}{x}) = 5$ , and x > 1, what is the value of $(x^{8} - \frac{1}{x ^{8}})$ ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q522023 · 18 Jul 2023 · Shift 4
If a + b + c = 6 and a2 + b2 + c2 = 14, then what is the value of (a - b)2 + (b - c)2 + (c - a)2 ?
1. A.-8
2. B.8
3. C.10
4. D.6
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Answer: D
Q632023 · 18 Jul 2023 · Shift 4
If $p = \frac{2 + 1}{2 - 1}$ and $q = \frac{2 - 1}{2 + 1}$ then find the value of $\frac{p ^{2}}{q} + \frac{q ^{2}}{p}$ .
1. A.200
2. B.196
3. C.198
4. D.188
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Answer: C
Q552023 · 17 Jul 2023 · Shift 1
Simplify the following expression. (3x + 5)2 + (3x - 5)2
1. A.500x
2. B.450x
3. C.9x2 + 50
4. D.2(9x2 + 25)
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Answer: D
Q592023 · 17 Jul 2023 · Shift 1
Simplify the given expression. y + 2x - [ (y - (y - x + y) - (x + y) + y] - 2y.
1. A.-y
2. B.-2x
3. C.Y
4. D.2x
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Answer: D
Q722023 · 17 Jul 2023 · Shift 1
If , and 0 < x < 1, find the value of .
1. A.3√5
2. B.4√3
3. C.-4√3
4. D.-3√5
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Answer: D
Q722023 · 17 Jul 2023 · Shift 2
If = √6, and x > 1, what is the value of ?
1. A.1024√15
2. B.992√15
3. C.998√15
4. D.1012√15
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Answer: B
Q522023 · 17 Jul 2023 · Shift 3
What is the value of the given expression? (a + b + c)2 - a2 - b2 - c2
1. A.2abc
2. B.2(ab + bc + ca)
3. C.2(a + b + c)
4. D.2ab + bc - 2ca
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Answer: B
Q752023 · 17 Jul 2023 · Shift 3
If , what will be the value of ?
1. A.-7776
2. B.-6726
3. C.-6738
4. D.-6732
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Answer: B
Q592023 · 17 Jul 2023 · Shift 4
What is the value of $\frac{X}{Y}$ if $\frac{X - 5 Y}{X + 5 Y} = \frac{7}{13}$ .
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q612023 · 17 Jul 2023 · Shift 4
If . what is the value of ?
1. A.9604
2. B.9602
3. C.9600
4. D.9606
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Answer: B
Q642023 · 17 Jul 2023 · Shift 4
In the given figure if AD ⊥ BC, AC = 26 units, CD = 10 units, BC = 42 units, ∠DAC = x and ∠B = y then the value of $\frac{6}{c o s x} - \frac{5}{c o s y} + 8 tan y$ is:
1. A.16/9units
2. B.13/6 units
3. C.25/4 units
4. D.15/7 units
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Answer: C
Q752023 · 17 Jul 2023 · Shift 4
What is the value of (27x3 - 58x2y + 31xy2 - 8y3), when x = -5 and y = -7?
1. A.1924
2. B.-1924
3. C.-1926
4. D.1926
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Answer: A
Q612023 · 14 Jul 2023 · Shift 1
If $7 b - \frac{1}{4 b} = 7$ , then what is the value of $16 b^{2} + \frac{1}{49 b ^{2}}$ ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q692023 · 14 Jul 2023 · Shift 1
What is the value of (3x3 + 5x2y+ 12xy2 + 7y3), when x = -4 and y = -1?
1. A.-329
2. B.-359
3. C.-361
4. D.-327
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Answer: D