Algebra · SSC CGL previous year questions

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2022 129 questions

Q652022 · 8 Dec 2022 · Shift 2
If $x = \frac{5 - 4}{5 + 4}$ and $y = \frac{5 + 4}{5 - 4}$ then the value of $\frac{x ^{2} - x y + y ^{2}}{x ^{2} + x y + y ^{2}}$ = ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q702022 · 8 Dec 2022 · Shift 2
If $\frac{2 p}{p ^{2} - 5 p + 1} = \frac{1}{10}, p \neq = 0$ , then the value of $(p + \frac{1}{p})$ is:
1. A.10
2. B.25
3. C.1
4. D.15
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Answer: B
Q652022 · 8 Dec 2022 · Shift 3
If abc = 5, what is 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
Q732022 · 8 Dec 2022 · Shift 3
If 4(z + 7) (2z – 1) = Az2 + Bz + C, then the value of A + B + C is:
1. A.28
2. B.32
3. C.74
4. D.81
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Answer: B
Q582022 · 8 Dec 2022 · Shift 4
If , then what is the value of ?
1. A.9
2. B.6
3. C.7
4. D.5
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Answer: C
Q592022 · 8 Dec 2022 · Shift 4
What is the value of a2 + b2 + c2, if a + b + c = 9 and ab + bc + ca = 23?
1. A.22
2. B.32
3. C.49
4. D.35
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Answer: D
Q682022 · 8 Dec 2022 · Shift 4
If $x + \frac{1}{x} = 25$ where x > 1, then the value of $x^{3} - \frac{1}{x ^{3}}$ is:
1. A.82
2. B.76
3. C.86
4. D.78
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Answer: B
Q682022 · 7 Dec 2022 · Shift 1
Simplify the following equation. What is the difference between the two values of x?
1. A.8
2. B.16
3. C.5
4. D.17
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Answer: D
Q692022 · 7 Dec 2022 · Shift 1
If a number K = 42 × 25 × 54 × 135 is divisible by 3a, then find the maximum value of a.
1. A.6
2. B.7
3. C.4
4. D.5
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Answer: B
Q702022 · 7 Dec 2022 · Shift 1
If $x^{2} + y^{2} + 2 y + 4 x + 5 = 0$ , then $\frac{x + y}{x - y} =$ ______.
1. A.-3
2. B.1/3
3. C.-1
4. D.3
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Answer: D
Q722022 · 7 Dec 2022 · Shift 1
The value of , where x ≠ y ≠ z, is equal to:
1. A.1/4
2. B.1/2
3. C.1/3
4. D.1/9
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Answer: B
Q572022 · 7 Dec 2022 · Shift 2
If $K + \frac{1}{K} + 2 = 0$ and K < 0, then what is the value of $K^{10} + \frac{1}{K ^{11}}$ ?
1. A.1
2. B.0
3. C.-1
4. D.2
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Answer: B
Q592022 · 7 Dec 2022 · Shift 2
If $x + \frac{1}{x} = 2$ , then $x^{3} + \frac{1}{x ^{3}} =$ ?
1. A.1
2. B.8
3. C.2
4. D.0
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Answer: C
Q662022 · 7 Dec 2022 · Shift 2
If 14 ∶ 30 ∶∶ 7 ∶ x, then what is the value of x?
1. A.15
2. B.21
3. C.09
4. D.12
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Answer: A
Q532022 · 7 Dec 2022 · Shift 3
Simplify the given expression. (5x + 8y) (25x2 + 64y2 - 40xy)
1. A.125x3 - 512y3
2. B.25x3 + 64y3
3. C.125x3 + 512y3
4. D.25x3 - 64y3
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Answer: C
Q572022 · 7 Dec 2022 · Shift 3
In $△$ XYZ, XO is the median and $X O = \frac{1}{2} Y Z$ . If $∠ Y X O = 3 0^{\circ}$ , then what is the value of $∠ X Y Z$ ?
1. A.15°
2. B.90°
3. C.30°
4. D.60°
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Answer: C
Q732022 · 7 Dec 2022 · Shift 3
What will be the value of ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q542022 · 7 Dec 2022 · Shift 4
If $x + \frac{1}{x} = 7$ , find the value of $x^{3} + \frac{1}{x ^{3}}$ .
1. A.343
2. B.322
3. C.340
4. D.332
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Answer: B
Q562022 · 7 Dec 2022 · Shift 4
If (a + 1)2 + (a + 2)2 = 16 then what is the value of 40 + 12a + 4a2?
1. A.56
2. B.62
3. C.74
4. D.52
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Answer: B
Q622022 · 7 Dec 2022 · Shift 4
Which of the following statement is correct? I. If $K + \frac{1}{K} = 12$ , $K^{2} + \frac{1}{K ^{2}} = 142$ . II. The value of $(k^{2} + \frac{1}{k ^{2}}) (k - \frac{1}{k}) (k^{4} + \frac{1}{k ^{4}}) (k + \frac{1}{k})$ is $k^{16} - \frac{1}{k ^{16}}$ .
1. A.Only I
2. B.Neither I nor II
3. C.Both I and II
4. D.Only II
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Answer: A
Q512022 · 6 Dec 2022 · Shift 1
The value of 97 × 103 is ______.
1. A.7999
2. B.9991
3. C.8991
4. D.9981
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Answer: B
Q552022 · 6 Dec 2022 · Shift 1
If $x + \frac{1}{x} = 1$ , then the value of $x^{12} + x^{9} + x^{6} + x^{3} + 1$ is:
1. A.1
2. B.-1
3. C.0
4. D.-2
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Answer: A
Q562022 · 6 Dec 2022 · Shift 1
The mid points of AB and AC of a △ ABC are X and Y, respectively. If BC + XY = 24 units, then the value of BC - XY is:
1. A.5 cm
2. B.4 cm
3. C.6 cm
4. D.8 cm
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Answer: D
Q612022 · 6 Dec 2022 · Shift 2
If $\frac{a}{b} + \frac{b}{a} = 1$ and a + b = 2, then the value of $a^{3} + b^{3}$ is:
1. A.0
2. B.3
3. C.1
4. D.2
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Answer: A
Q652022 · 6 Dec 2022 · Shift 2
If 4x2 + y2 = 40 and xy = 6, find the positive value of 2x + y.
1. A.8
2. B.6
3. C.5
4. D.4
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Answer: A