Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 11

EASY

CAT

IMPORTANT

Earn 100

If $f (x + 2) = f (x) + f (x + 1)$ for all positive integers $x$ , and $f (11) = 91, f (15) = 617$ , then $f (10)$ equals_____.

Important Questions on X+2 Maths

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 12

Given that

x^{2018} y^{2017} = \frac{1}{2}

and

x^{2016} y^{2019} = 8

, the value of

x^{2} + y^{3}

is

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 13

If

x + 1 = x^{2}

and

x > 0

, then

2 x^{4}

is

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 14

If

9^{2 x - 1} - 81^{x - 1} = 1944

, then

x

is?

EASY

CAT

IMPORTANT

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

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

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