TCS NQT 2026 || PYQ || APTITUDE || Algebra || CLASS

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Question 1

If x4 + y4 = 19 and x + y = 1, Find x2y2-2xy = ?

  • 10

  • 9

  • 8

  • 7

Question 2

Factor of x29- x26 - x23 + 1.

  • (x-1) but not (x+1)

  • (x+1) but not (x-1)

  • both (x+1) and (x-1)

  • Neither (x+1) nor (x-1)/

Question 3

If (x+1) and (x-1) are factors of ax3 +bx2 + 3x + 5, find the value of a and

  • 3,5

  • -3, -5

  • -3, 4

  • -4, 5

Question 4

x2 + bx + 7 is divided by (x-1) leaves remainder =(12) find b?.

  • 1

  • 2

  • 3

  • 4

Question 5

find the H.C.F of the polynomial 30(x2 - 3x+2) and 50 (x2 - 2x + 1).

  • 10

  • 30(x-1)

  • 10(x-1)2

  • None

Question 6

Find H.C.F. of 30x3-30x2-15x+27 and 30x3-61x2-24x+10

  • 31 x2 + 29 x + 17

  • 31 x2 + 9 x + 17

  • 31 x2 - 9 x -27

  • 30x2 + 11 x + 11

Question 7

√x + 1/ √x = 1, find x512 + 1/x 512

  • 1

  • -1

  • 512

  • 256

Question 8

If x2 + x + 1 =0 Find x3 + 1 = ?

  • 2

  • -1

  • 0

  • 4

Question 9

If √x+1/ √x = 1 find x40 + 1/ x40

  • -1

  • 0

  • 1

  • 40

Question 10

If x2 + x =5 Find (x + 3)3 + 1/(x + 3)3 = ?

  • 110

  • 40

  • 85

  • 120

There are 11 questions to complete.

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