Q1.

Find the remainder if polynomial p(x) = x4 + x3 - 2x2 + x +1 is divided by (x - 1).

  • 1

  • 2

  • 3

  • 4

Solution:

2

Q2.

Find the value of without actually calculation:

(-12)3 + (7)3 + (5)3

  • -1260

  • -4565

  • 3456

  • 1245

Solution:

-1260

Q3.

If a + b + c = 0, find the value of \( {(b + c) ^2 \over bc} + {(c + a) ^2 \over ca} + {(a + b) ^2 \over ab}\).

  • 4

  • 6

  • 2

  • 3

Solution:

NA

Q4.

If ab + bc + ca = 0 , then the value of :

\( {1 \over a^2 - bc} + {1 \over b^2 - ca} + {1 \over c^2 - ab}\)

  • 1

  • 0

  • 3

  • 2

Solution:

NA

Q5.

If x + y - z  = 4 and x2 + y2 + z2 = 38, then find the value xy - yz - zx.

  • - 11

  • 12

  • 11

  • -12

Solution:

NA

Q6.

If the sum of 2 number is 7 and the sum of their cubes is 133, find the sum of their squares. 

  • 30

  • 25

  • 29

  • 21

Solution:

NA

Q7.

If a + b + c = 0, then find the value of \( { a^2 \over bc} + { b^2 \over ca} + { c^2 \over ab}\)

  • 3

  • 6

  • 2

  • 8

Solution:

NA

Q8.

If x - \( {1 \over x}\) = \( {1 \over 3}\), find 9x2 + \( {9 \over x^2}\) . 

  • 15

  • 19

  • 20

  • 10

Solution:

NA

Q9.

If a + b + c= 6 and  ab + bc + ca = 11, find the value of a3 + b3 + c3 - 3abc . 

  • 14

  • 12

  • 17

  • 18

Solution:

NA