How to prepare for Quantitative Aptitude for the CAT>Chapter 20 - Functions>Level of Difficulty>Q 57

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CAT

IMPORTANT

Earn 100

$x$ and $y$ are non negative integers such that $4 x + 6 y = 20,$ and $x^{2} \leq M / y^{2 / 3}$ for all values of $x, y .$ What is thr minimum value of $M ?$

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Important Questions on Functions

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 20 - Functions>Level of Difficulty>Q 58

Let

ψ (x) = \frac{x + 3}{2}

and

θ (x) = 3 x^{2} + 2

. Find the value of

θ (ψ (- 7))

.

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 20 - Functions>Level of Difficulty>Q 59

If

F (a + b) = F (a) . F (b) \div 2

, where

F (b) \neq 0

and

F (a) \neq 0

, then what is the value of

F (12 b) ?

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 20 - Functions>Level of Difficulty>Q 60

A function $a = θ (b)$ is said to br reflexive functions?
(i) $\frac{3 b + 5}{4 b - 3}$
(ii) $\frac{3 b + 5}{5 b - 2}$
(iii) $\frac{2 b + 12}{12 b - 2}$

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 20 - Functions>Level of Difficulty>Q 67

If

f (x) = \frac{x^{2} + 1}{x - 1}

then

f (f (f (2))) = 2

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 20 - Functions>Level of Difficulty>Q 86

Which of the following curves correctly represents

y = |x - 2|

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 20 - Functions>Level of Difficulty>Q 87

Which of the following represents the curves of

y = \log |x| ?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 20 - Functions>Level of Difficulty>Q 88

Which of the following options correctly represents the curve of

f (x) = {(x - 1)}^{3}

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 20 - Functions>Level of Difficulty>Q 89

Which of the following options correctly represents the curve

f (x) = \frac{e^{|x|}}{2}