Algebra · SSC CGL previous year questions

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2023 93 questions

Q732023 · 20 Jul 2023 · Shift 3
If $(2 y + \frac{2}{y}) = 7$ , find the value of $(y^{2} + \frac{1}{y ^{2}})$ .
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q532023 · 20 Jul 2023 · Shift 4
If (X - ) = 6, and x > 0, find the value of (x2 - ).
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q602023 · 20 Jul 2023 · Shift 4
If (x + ) = 3 , and x > 1, what is the value of (x8 - )?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q672023 · 20 Jul 2023 · Shift 4
Find the value of $\frac{c o s 4 1 ^{\circ}}{s i n 4 9 ^{\circ}} + \frac{s i n 5 1 ^{\circ}}{c o s 3 9 ^{\circ}}$
1. A.4
2. B.2
3. C.3
4. D.1
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Answer: B
Q512023 · 19 Jul 2023 · Shift 1
An 11-digit number 7823326867X is divisible by 18. What is the value of X?
1. A.6
2. B.4
3. C.8
4. D.2
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Answer: D
Q542023 · 19 Jul 2023 · Shift 1
If $(x + \frac{1}{x}) = 22$ and x > 1, what is the value of $(x^{6} - \frac{1}{x ^{6}})$ ?
1. A.140√2
2. B.116√2
3. C.144√2
4. D.128√2
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Answer: A
Q552023 · 19 Jul 2023 · Shift 1
If $\frac{s i n x - c o s x}{s i n x + c o s x} = \frac{2}{5}$ , then the value of $\frac{1 + c o t ^{2} x}{1 - c o t ^{2} x}$ is:
1. A.2.25
2. B.1.45
3. C.3.75
4. D.5.25
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Answer: B
Q702023 · 19 Jul 2023 · Shift 1
A varies directly as (B + 18) and A = 108 when B = 36. Find the value of A when B = 68.
1. A.75
2. B.86
3. C.127
4. D.172
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Answer: D
Q742023 · 19 Jul 2023 · Shift 1
If , then what will be the value of A? (0° < θ < 90°)
1. A.90°
2. B.45°
3. C.60°
4. D.30°
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Answer: C
Q542023 · 19 Jul 2023 · Shift 2
If (a + b + c) = 12, and (a² + b² + c²) = 50, find the value of (a³ + b³ + c³ – 3abc).
1. A.36
2. B.24
3. C.42
4. D.48
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Answer: A
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
Show answer
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
Show answer
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