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Quantitative Reasoning MCQs Quiz For Entry Test
1. Find the value of k if f(x) = x³ - kx² + 11x -6 and (x - 1) is a factor of f(x) ?
4
None of these
8
6 (Answer)
2. Resolve into factors: 16(x - y)² -9(x + y)² ?
x + 7y) (7x +y)
x - 7y) ( 7x -y) (Answer)
None of these
(x - 5) (5x - y)
3. When (x³ - 2x + px - q) is divided by x² - 2x - 3 the remainder is (x - 6). The value of p and q are ?
p = 2 , q = 6
p = 2 , q = -6
p = -2 , q = 6 (Answer)
p = -2 , q = -6
4. If x/y + y/x = 6, Find the value of x³/y³ + y³/x³ ?
None of these
198 (Answer)
176
184
5. If a + b + c = 0, the value of (a²/bc + b²/ca + c²/ab) is ?
1
3 (Answer)
-1
0
6. Resolve into factors: 4x² + 12xy + 9y² - 8x -12y ?
(2x + 3y) (2x + 3y - 4) (Answer)
None of these
(3x + 2y) (4x + 2y - 3)
(2x - 3y) (2x + 3y + 4y)
7. If (x - 2) is a factor of the polynomial x³ - 2x² + ax - 1, Find the value of a ?
11/6
7/6 (Answer)
5/6
None of these
8. Resolve into factors: 81x² y² + 108 xyz + 36z² ?
None of these
(6xy + 9z)²
(9xy - 7z)²
(9xy + 6z)² (Answer)
9. If 5x² - 4x - 1 is divided by x - 1, the remainder is ?
None of these
0 (Answer)
1
2
10. Resolve into factors: (a + b)² - 14c(a + b) + 49c² ?
None of these
(a + b + 9c)²
( a - b - 9c)²
(a + B - 7c)² (Answer)
11. Find the factors of (a - b)³ + (b - c )³ + (c - a)³ ?
5(a - b) (b - c) (c - a)
3(a + b) (b + c) (c + a)
3(a - b) (b - c) (c - a) (Answer)
None of these
