# Algebra Previous Year Questions

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### Algebra Previous Year Questions

If 2x + (9/x) = 9, then what is the minimum value of x2 + (1/x2)?

1. 95/36
2. 97/36
3. 86/25
4. 623/27

If (5x – y)/(5x + y) = 3/7, then what is the value of (4x2 + y2 – 4xy)/(9x2 + 16y2 + 24xy)?

1. 0
2. 3/7
3. 18/ 49
4. 1/6

If (x + y)2 = xy + 1 and x3 – y3 = 1, then what is the value of x – y?

1. 1
2. 0
3. –1
4. 2

###### Algebra Previous Year Questions

If (x – y) = 7, then what is the value of (x – 15)3 – (y – 8)3?

1. 0
2. 343
3. 392
4. 2863

If x – y – √18 = –1 and x + y – 3√2 = 1, then what is the value of 12xy(x2 – y2)?

1. 0
2. 1
3. 512√2
4. 612√2

If p/q = r/s = t/u = √5, then what is the value of [(3p2 + 4r2 + 5t2)/(3q2 + 4s2 + 5u2)]?

1. 1/5
2. 5
3. 25
4. 60

If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x3 + y3 + z3 – 3xyz?

1. 81
2. 361
3. 729
4. 6561

If x4 + (1/x4) = 34, then what is the value of x3 – (1/x3)?

1. 0
2. 6
3. 8
4. 14

###### Algebra Previous Year Questions

If x = 1 – y and x2 = 2 – y2, then what is the value of xy?

1. 1
2. 2
3. –1/2
4. –1

If 4(x+y) = 256 and (256)(x-y) = 4, then what is the value of x and y?

1. 17/8, 15/8
2. 17/4, 15/4
3. 9/17, 15/17
4. 8/17, 8/15

If the expression px3 – qx2 – 7x – 6 is completely divisible by x2 – x – 6, then what is the value of p and q respectively?

1. 0, 1
2. 1, 0
3. 2, 1
4. 1, 2

If the expression px3 – 2x2 – qx + 18 is completely divisible by (x2 – 9), then what is the ratio between p and q respectively?

1. 1:9
2. 1:3
3. 3:1
4. 9:1

If 3a – (3/a) – 3 = 0, then what is the value of a3 – (1/a3) + 2?

1. 0
2. 2
3. 4
4. 6

If x3 + 2x2 – 5x + k is divisible by x + 1, then what is the value of k?

1. –6
2. –1
3. 0
4. 6

If 3x + [1/(5x)] = 7, then what is the value of 5x/(15x2 + 15x + 1)?

1. 1/5
2. 1/10
3. 2/5
4. 10

If x + [1/(4x)] = 5/2, then what is the value of (64x6 + 1)/8x3?

1. 110
2. 115
3. 125
4. 140

###### Algebra Previous Year Questions

If x2 + x = 19, then what is the value of (x + 5)2 + [1/(x + 5)2]?

1. 77
2. 79
3. 81
4. 83

If α and β are roots of the equation 3x2 – 13x + 14 = 0, then what is the value of (α/β) + (β/α)?

1. 65/28
2. 53/14
3. 9
4. 85/42

If a + b + c = 9 and ab + bc + ca = 18, then what is the value of a3 + b3 + c3 – 3abc?

1. 189
2. 243
3. 361
4. 486

If (x/y) + (y/x) = 1, then what is the value of x3 + y3?

1. –1
2. 0
3. 1
4. 3

If 5x = 30-y = 6z, then what is the value of (xy + yz + zx)/xyz?

1. 0
2. 1
3. 2
4. 3

For what value of k, the expression x6 – 18x3 + k will be a perfect square?

1. – 9
2. – 81
3. + 9
4. + 81

If (x + y + z) = 12, xy + yz + zx = 44 and xyz = 48, then what is the value of x3 + y3 + z3?

1. 104
2. 144
3. 196
4. 288

###### Algebra Previous Year Questions

If x(2x + 3) = 90 and 7y-1/2 + 2y-1/2 = y1/2 (x and y are positive numbers), then what is the value of x2 + y2?

1. 45
2. 109
3. 117
4. 126

If x/y = 4/9, then what is the value of (7x2 – 19xy + 11y2)/y2?

1. 59/81
2. 100/27
3. 319/81
4. 913/81

If x – 3 + [1/(x – 3)] = 4, what is the value of (x – 3)3 + [1/(x – 3)3]?

1. 14
2. 18
3. 52
4. 76

If x2+ y2 + z2 = xy + yz + zx, then what is the value of (7x + 3y – 5z)/5x?

1. 0
2. 1
3. 5
4. 33/5

If (x/5) + (5/x) = – 2, then what is the value of x3?

1. –125
2. 5
3. 1/125
4. 625

If a + b + c = 11 and ab + bc + ca = 17, then what is the value of a3 + b3 + c3 – 3abc?

1. 121
2. 168
3. 300
4. 770

If x + (1/x) = 2, then what is the value of x21 + (1/x1331)?

1. 0
2. 1
3. 2
4. 4

If x3 – y3 = 81 and x – y = 3, then what is the value of x2 + y2?

1. 18
2. 21
3. 27
4. 36

When [x + (1/x)] = 5, then what is the value of [x – (1/x)]?

1. 11
2. ± √22
3. 21
4. ± √21

If x = (√2 + 1)/(√2 – 1), then what is the value of (x5 + x4 + x2 + x)/x3?

1. 40
2. 37.5
3. 38
4. 20√2

If x = 5 – 2√6, then what is the value of √x +(1/√x)?

1. 5
2. 2
3. 2√3
4. 2√2

Name:- Algebra Previous Year Question for SSC CGL

File Format:- PDF

File Size:- 2 MB

Total Pages:- 9

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100 Algebra Previous Year Questions of SSC CGL

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