Algebra · SSC CGL previous year questions

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2023 93 questions

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
Q722023 · 14 Jul 2023 · Shift 1
If (a + b + c) = 16, and (a2 + b2 + c2) = 90, find the value of (ab + bc + ca).
1. A.84
2. B.83
3. C.82
4. D.81
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Answer: B
Q562023 · 14 Jul 2023 · Shift 2
What is the value of 64x3 + 38x2y + 20xy2 + y3, when x = 3 and y = - 4?
1. A.1236
2. B.488
3. C.536
4. D.1256
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Answer: D
Q632023 · 14 Jul 2023 · Shift 2
What is the value of a3 + b3 + c3 if (a + b + c) = 0?
1. A.a2 + b2 + c2 - 3 abc
2. B.0
3. C.3 abc
4. D.a2 + b2 + c2 - ab - bc - ca days days days days
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Answer: C
Q672023 · 14 Jul 2023 · Shift 2
Find the simplified value of the given expression. $4 \frac{4}{5} \div \frac{3}{5}$ of $5 + \frac{4}{5} \times \frac{3}{10} - \frac{1}{5}$
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q632023 · 14 Jul 2023 · Shift 3
If $x + \frac{1}{x} = 7$ , then the value of $x^{6} + \frac{1}{x ^{6}}$ is:
1. A.113682
2. B.103682
3. C.103882
4. D.103862
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Answer: B
Q692023 · 14 Jul 2023 · Shift 4
If x > 0, and , what is the value of ?
1. A.717√2
2. B.723√2
3. C.720√2
4. D.726√2
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Answer: A
Q722023 · 14 Jul 2023 · Shift 4
If Δ XYZ ≅ Δ LMR, then m + x + p = ____________.
1. A.7
2. B.6
3. C.9
4. D.13
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Answer: C
Q732023 · 14 Jul 2023 · Shift 4
If a = 17,b = 13, then find the value of the expression (a3 - b3 - 3a2b + 3ab2).
1. A.-64
2. B.-27000
3. C.27000
4. D.64
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Answer: D