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Recent questions tagged functions
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CAT 201016
Let $f$ be an injective map with domain $\left \{ x, y, z \right \}$ and the range $\left \{ 1, 2, 3 \right \}$ such that exactly one of the following statements is correct and the remaining are false. $f\left \{x \right \}=1,f\left ( y \right )\neq 1,f\left ( z \right )\neq 2.$ The value of $f^{1}\left ( 1 \right )$ is $x$ $y$ $z$ None of the above
asked
Mar 1
in
Quantitative Aptitude
by
Arjun
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8k
points)
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52
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cat2010
functions
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CAT1999100
Answer the question based on the information given below: Let x and y be real numbers and let $f(x, y) = x+y, F(f(x, y)) = f(x,y) \text{ and } G(f(x, y)) = F(f(x, y))$ Which of the following expressions yields $x^2$ as a result? $F(f(x, x)).G(f(x, x))$ $F(f(x, x)).G(f(x, x)).4$ $F(f(x, x)).G(f(x, x)) \: \log_2 16$ $f(x,x).f(x,x)$
asked
May 14, 2016
in
Logical Reasoning
by
jothee
(
11.3k
points)
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154
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468
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1150

70
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cat1999
logicalreasoning
functions
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votes
1
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CAT199998
Answer the question based on the information given below: Let x and y be real numbers and let $f(x, y) = x+y, F(f(x, y)) = f(x,y) \text{ and } G(f(x, y)) = F(f(x, y))$ Which of the following statements is true? $F(f(x,y)) .G(f(x,y)) = F(f(x,y)).G(f(x,y))$ ... $F(f(x,y)) .G(f(x,y)) \neq G(f(x,y)).F(f(x,y))$ $F(f(x,y)) +G(f(x,y)) + f(x,y)= f(x,y)$
asked
May 14, 2016
in
Logical Reasoning
by
jothee
(
11.3k
points)
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154
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468
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1150

84
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cat1999
logicalreasoning
functions
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votes
1
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4
CAT200461,62
Answer the questions on the basis of the information given below: $f_1(x)$ =x $0 \leq x \leq 1$ =1 $x \geq 1$ =0 otherwise $f_2(x)$ =$f_1(x)$ for all x $f_3(x)$ =$f_2(x)$ for all x $f_4(x)$ =$f_3(x)$ for all x How many of the following products are necessarily zero for every ... $f_2(x) = f_4(x) \: \text{for all x}$ $f_1(x) + f_3(x) = 0 \: \text{for all x}$
asked
Jan 13, 2016
in
Quantitative Aptitude
by
jothee
(
11.3k
points)
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154
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468
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73
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cat2004
quantitativeaptitude
functions
+2
votes
1
answer
5
CAT200702
A quadratic function f(x) attains a maximum of 3 at x=1. The value of the function at x=0 is 1.What is the value of f(x) at x=10? 119 159 110 180 105
asked
Dec 6, 2015
in
Quantitative Aptitude
by
jothee
(
11.3k
points)
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154
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468
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1150

83
views
cat2007
quantitativeaptitude
functions
0
votes
1
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6
CAT200814
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 $b$? $\frac{1}{\sqrt{3} }$ 1 0 1 $\frac{1}{\sqrt{3} }$
asked
Nov 28, 2015
in
Quantitative Aptitude
by
jothee
(
11.3k
points)
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154
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468
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1150

103
views
cat2008
quantitativeaptitude
functions
+2
votes
1
answer
7
CAT200813
Let $f(x) $ be a function satisfying $f(x) f(y) =f(xy)$ for all real $x, y$. If $f(2)=4$, then what is the value of $f(\frac{1}{2})$ 0 $\frac{1}{4}$ $\frac{1}{2}$ 1 cannot be determined
asked
Nov 28, 2015
in
Quantitative Aptitude
by
jothee
(
11.3k
points)
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154
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468
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1150

79
views
cat2008
quantitativeaptitude
functions
+2
votes
1
answer
8
CAT200810
Let $f(x) = ax^2 + bx +c$, where $a$, $b$ and $c$ are certain constants and $a \neq 0$. It is known that $f(5) = 3 f(2) $ and that 3 is a root of $f(x)=0$. What is the other root of $f(x)=0$? 7 4 2 6 cannot be determined
asked
Nov 28, 2015
in
Quantitative Aptitude
by
jothee
(
11.3k
points)
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154
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468
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1150

118
views
cat2008
quantitativeaptitude
functions
0
votes
1
answer
9
If f(x) = minimum of (3x + 5, 10  2x), what is the maximum possible value of f(x)?
asked
Aug 24, 2015
in
Quantitative Aptitude
by
makhdoom ghaya
(
7.8k
points)
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81
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353
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800

706
views
quantitativeaptitude
functions
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