CAT Quantitative Aptitude

Test Preparation on CAT Quantitative Aptitude

1.

If (x + 2)(x - a) = px^2 + qx + 8, what are the values of the constants a, p and q?

1a = - 4, p = 1, q = 6
2a = - 4, p = 2, q = 5
3a = -8, p = 1, q = 7
4a = - 4, p = 8, q = 7

2.

(x + l)(2x - 2)(3x + 3) = ax^3 + bx^2 + cx + d. What are the values of a, b, c and d?

1a - 7, b = 8, c = -6, d = -3
2a - 6, b = 6, c = -6, d = -6
3a - 4, b = 8, c = -6, d = -6
4a - 6, b = 8, c = -6, d = 8

3.

Factorise a. x3 + 2x2-11x-12 b. x^3-2x2-9x+ 18 c. 6x^3 - 5x^2 - 2x + 1

1(a) (x + 1) ( X + 4) (x - 3)
2(b) (X + 2) ( X + 3) ( X - 3)
3(c) (X - 1) (3x - 1) ( 2x + 1)
4All of the above

4.

The graph of x^3 - x^2 + 2x will cut the X axis at how many points? What will be the co-ordinates of the point/s at which the graph intersects the X axis?

1(0, 0)
2(0, 2)
3(4, 0)
4(8, 0)

5.

What is the value of k for which the expression x-^3 + kx^2 + 3x + 4 is divisible by (x + 3)?

132/9
233/9
335/8
487/4

6.

What is the value of k and 1 if the expression kx-^3 + 4x^2 + Ix + 5 is divisible by (x^2-1)?

1The values of k and i are inconsistent
2The values of k and i are infinite
3The values of k and i are negative
4The values of k and i are pssitive

7.

What is the common factor of the polynomials 3x^2 + 5x - 2 and 3x^2 - 7x + 2?

1(3x - 4)
2(3x - 7)
3(3x - 8)
4(3x - 1)

8.

What is the common factor of the polynomials 2x^ - x and 4x^ + 8x + 3?

1No common factor
2No common factor match
3No common factor exists
4No common factor possible

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