Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 15

EASY

CAT

IMPORTANT

Earn 100

The minimum possible value of the sum of the squares of the roots of the equation $x^{2} + (a + 3) x - (a + 5) = 0$ is

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Important Questions on X+2 Maths

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 16

The number of solutions

(x, y, z)

to the equation

x - y - z = 25

where

x, y, and z

are positive integers such that

x \leq 40, y \leq 12 and z \leq 12

is

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 17

For how many integers

n

, will the inequality

(n - 5) (n - 10) - 3 (n - 2) \leq 0

be satisfied?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 18

If

9^{x - \frac{1}{2}} - 2^{2 x - 2} = 4^{x} - 3^{2 x - 3}

, then

x

is

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 19

If x and y are real numbers, the least possible value of the expression.

4 (x - 2)^{2} + 4 (y - 3)^{2} - 2 (x - 3)^{2}

is

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 20

The smallest integer

x

for which the inequality

\frac{x - 7}{x^{2} + 5 x - 36} = 0

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 21

Find the value of x which satisfies the following equation

$4 \log_{7} (x - 8) = \log_{3} 81$

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 22

The value of

x

for which the equation

\sqrt{4 x + 9} + \sqrt{4 x - 9} = 5 + \sqrt{7}

will be satisfied, is:

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 23

If the roots of the equation

x^{3} - {ax}^{2} + bx - c = 0

are three consecutive integers, then what is the smallest possible value of b?