100 Algebra Previous Year Questions of SSC CGL

Algebra Previous Year Questions

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algebra previous year questions

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

Correct answer: 97/36

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

Correct answer: 0

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

Correct answer: 1

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

Correct answer: 0

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

Correct answer: 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

Correct answer: 5

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

Correct answer: 729

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

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

Correct answer: 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

Correct answer: –1/2

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

Correct answer: 17/8, 15/8

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

Correct answer: 1, 0

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

Correct answer: 1:9

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

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

Correct answer: 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

Correct answer: – 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

Correct answer: 1/10

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

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

Correct answer: 110

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

Correct answer: 79

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

Correct answer: 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

Correct answer: 243

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

  1. –1
  2. 0
  3. 1
  4. 3

Correct answer: 0

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

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

Correct answer: 0

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

  1. – 9
  2. – 81
  3. + 9
  4. + 81

Correct answer: + 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

Correct answer: 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

Correct answer: 117

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

Correct answer: 319/81

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

Correct answer: 52

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

Correct answer: 1

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

  1. –125
  2. 5
  3. 1/125
  4. 625

Correct answer: –125

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

Correct answer: 770

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

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

Correct answer: 2

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

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

Correct answer: 21

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

  1. 11
  2. ± √22
  3. 21
  4. ± √21

Correct answer: ± √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

Correct answer: 40

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

  1. 5
  2. 2
  3. 2√3
  4. 2√2

Correct answer: 2√3

 

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