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Recent questions tagged functions
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CAT 2004 | Question: 62
Answer the questions on the basis of the information given below: $f_{1}(x) = \left\{\begin{matrix} x & 0 \leq x \leq 1 \\ 1 & x \geq 1 \\ 0 & \text{otherwise} \end{matrix}\right.$ $f_{2}(x) = f_{1}(-x) \;\; \text{for all} \; x $ ... $f_2(-x) = f_4(x) \: \text{for all }\;x$ $f_1(x) + f_3(x) = 0 \: \text{for all }\;x$
Answer the questions on the basis of the information given below:$f_{1}(x) = \left\{\begin{matrix} x & 0 \leq x \leq 1 \\ 1 & x \geq 1 \\ 0 & \text{otherwise} \end{matri...
Lakshman Bhaiya
13.7k
points
223
views
Lakshman Bhaiya
asked
Mar 30, 2022
Quantitative Aptitude
cat2004
quantitative-aptitude
functions
+
–
1
votes
1
answer
2
CAT 2021 Set-3 | Quantitative Aptitude | Question: 12
If $f(x) = x^{2} – 7x$ and $g(x) = x + 3,$ then the minimum value of $f(g(x)) – 3x$ is $ -16$ $ -15$ $ -20$ $ -12$
If $f(x) = x^{2} – 7x$ and $g(x) = x + 3,$ then the minimum value of $f(g(x)) – 3x$ is$ -16$$ -15$$ -20$$ -12$
soujanyareddy13
2.7k
points
395
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set3
quantitative-aptitude
functions
+
–
1
votes
1
answer
3
CAT 2021 Set-2 | Quantitative Aptitude | Question: 15
For all real values of $x,$ the range of the function $f(x) = \dfrac{x^{2} + 2x + 4}{2x^{2} + 4x + 9}$ is $ \left(\frac{3}{7}, \frac{1}{2} \right)$ $ \left[\frac{3}{7}, \frac{1}{2} \right)$ $ \left[\frac{3}{7}, \frac{8}{9} \right)$ $ \left[\frac{4}{9}, \frac{8}{9} \right]$
For all real values of $x,$ the range of the function $f(x) = \dfrac{x^{2} + 2x + 4}{2x^{2} + 4x + 9}$ is$ \left(\frac{3}{7}, \frac{1}{2} \right)$$ \left[\frac{3}{7}, \fr...
soujanyareddy13
2.7k
points
360
views
soujanyareddy13
asked
Jan 20, 2022
Quantitative Aptitude
cat2021-set2
quantitative-aptitude
functions
+
–
1
votes
1
answer
4
CAT 2021 Set-1 | Quantitative Aptitude | Question: 8
$f(x) = \dfrac{x^{2} + 2x – 15}{x^{2} – 7x – 18}$ is negative if and only if $ – 2 < x < 3 \; \text{or} \; x > 9 $ $ x < – 5 \; \text{or} \; 3 < x < 9 $ $ – 5 < x < – 2 \; \text{or} \; 3 < x < 9 $ $ x < – 5 \; \text{or} \; – 2 < x < 3 $
$f(x) = \dfrac{x^{2} + 2x – 15}{x^{2} – 7x – 18}$ is negative if and only if$ – 2 < x < 3 \; \text{or} \; x 9 $$ x < – 5 \; \text{or} \; 3 < x < 9 $$ – 5 < x...
soujanyareddy13
2.7k
points
513
views
soujanyareddy13
asked
Jan 19, 2022
Quantitative Aptitude
cat2021-set1
quantitative-aptitude
functions
+
–
1
votes
1
answer
5
CAT 2020 Set-3 | Question: 58
If $ f(x+y) = f(x) f(y) $ and $ f(5) = 4,$ then $ f(10) – f(-10) $ is equal to $0$ $15.9375$ $3$ $14.0625$
If $ f(x+y) = f(x) f(y) $ and $ f(5) = 4,$ then $ f(10) – f(-10) $ is equal to $0$$15.9375$$3$$14.0625$
soujanyareddy13
2.7k
points
443
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set3
quantitative-aptitude
functions
+
–
2
votes
1
answer
6
CAT 2020 Set-2 | Question: 72
Let $f(x) = x^{2} + ax + b $ and $g(x) = f(x+1) – f(x-1).$ If $ f(x) \geq 0 $ for all real $x,$ and $ g(20) = 72,$ then the smallest possible value of $b$ is $1$ $16$ $0$ $4$
Let $f(x) = x^{2} + ax + b $ and $g(x) = f(x+1) – f(x-1).$ If $ f(x) \geq 0 $ for all real $x,$ and $ g(20) = 72,$ then the smallest possible value of $b$ is $1$$16$$0$...
soujanyareddy13
2.7k
points
507
views
soujanyareddy13
asked
Sep 17, 2021
Quantitative Aptitude
cat2020-set2
quantitative-aptitude
functions
+
–
1
votes
1
answer
7
CAT 2020 Set-1 | Question: 68
If $f\left ( 5+x \right )= f\left ( 5-x \right )$ for every real $x,$ and $f\left ( x \right )=0$ has four distinct real roots, then the sum of these roots is $0$ $40$ $10$ $20$
If $f\left ( 5+x \right )= f\left ( 5-x \right )$ for every real $x,$ and $f\left ( x \right )=0$ has four distinct real roots, then the sum of these roots is$0$$40$$10$$...
soujanyareddy13
2.7k
points
467
views
soujanyareddy13
asked
Sep 16, 2021
Quantitative Aptitude
cat2020-set1
quantitative-aptitude
functions
+
–
1
votes
1
answer
8
CAT 2019 Set-2 | Question: 95
Let $f$ be a function such that $f (mn) = f (m) f (n)$ for every positive integers $m$ and $n$. If $f (1), f (2)$ and $f (3)$ are positive integers, $f (1) < f (2),$ and $f (24) = 54$, then $f (18)$ equals _______
Let $f$ be a function such that $f (mn) = f (m) f (n)$ for every positive integers $m$and $n$. If $f (1), f (2)$ and $f (3)$ are positive integers, $f (1) < f (2),$ and $...
go_editor
13.8k
points
620
views
go_editor
asked
Mar 20, 2020
Quantitative Aptitude
cat2019-2
quantitative-aptitude
functions
numerical-answer
+
–
2
votes
1
answer
9
CAT 2018 Set-1 | Question: 93
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 ________
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 ________
go_editor
13.8k
points
564
views
go_editor
asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
functions
numerical-answer
+
–
1
votes
1
answer
10
CAT 2017 Set-2 | Question: 89
Let $f\left ( x \right )=x^{2}$ and $g\left ( x \right )=2^{x}$, for all real $x$. Then the value of $ f \left ( f\left ( g\left ( x \right ) \right )+g\left( f\left ( x \right ) \right ) \right)$ at $x=1$ is $16$ $18$ $36$ $40$
Let $f\left ( x \right )=x^{2}$ and $g\left ( x \right )=2^{x}$, for all real $x$. Then the value of $ f \left ( f\left ( g\left ( x \right ) \right )+g\left( f\left ( x...
go_editor
13.8k
points
474
views
go_editor
asked
Mar 16, 2020
Quantitative Aptitude
cat2017-2
quantitative-aptitude
functions
+
–
1
votes
1
answer
11
CAT 2017 Set-2 | Question: 98
Let $f\left ( x \right )=2x-5$ and $g\left ( x \right )=7-2x.$ Then $ \mid f\left ( x \right ) + g\left ( x \right ) \mid=\mid f(x) \mid + \mid g\left ( x \right ) \mid$ if and only if $5/2<x<7/2$ $x\leq 5/2$ or $x\geq 7/2$ $x< 5/2$ or $x\geq 7/2$ $5/2\leq x\leq 7/2$
Let $f\left ( x \right )=2x-5$ and $g\left ( x \right )=7-2x.$ Then $ \mid f\left ( x \right ) + g\left ( x \right ) \mid=\mid f(x) \mid + \mid g\left ( x \right ) \mid$ ...
go_editor
13.8k
points
636
views
go_editor
asked
Mar 16, 2020
Quantitative Aptitude
cat2017-2
quantitative-aptitude
functions
+
–
1
votes
1
answer
12
CAT 2017 Set-2 | Question: 97
If $f\left ( ab \right )=f\left ( a \right )f\left ( b \right )$ for all positive integers $a$ and $b$, then the largest possible value of $f\left (1\right )$ is $1$ $2$ $0$ $3$
If $f\left ( ab \right )=f\left ( a \right )f\left ( b \right )$ for all positive integers $a$ and $b$, then the largest possible value of $f\left (1\right )$ is $1$$2$$0...
go_editor
13.8k
points
463
views
go_editor
asked
Mar 16, 2020
Quantitative Aptitude
cat2017-2
quantitative-aptitude
functions
+
–
1
votes
1
answer
13
CAT 2017 Set-1 | Question: 99
If $f( x)=\dfrac{5x+2}{ 3x-5}$ and $g( x )=x^{2}-2x-1,$ then the value of $g( f( f( 3 ) ) )$ is $2$ $1/3$ $6$ $2/3$
If $f( x)=\dfrac{5x+2}{ 3x-5}$ and $g( x )=x^{2}-2x-1,$ then the value of $g( f( f( 3 ) ) )$ is $2$$1/3$$6$$2/3$
go_editor
13.8k
points
622
views
go_editor
asked
Mar 13, 2020
Quantitative Aptitude
cat2017-1
quantitative-aptitude
functions
+
–
1
votes
1
answer
14
CAT 2016 | Question: 73
$A, S, M$ and $D$ are functions of $x$ and $y$, and they are defined as follows. $A(x, y) = x + y$ $M(x, y) = xy$ $S(x,y)= x-y$ $D(x,y)= x/y, y\neq 0$ What is the value of $M(M(A(M(x, y), S(y, x)), x), A(y, x))$ for $x = 2, y = 3$? $60$ $140$ $25$ $70$
$A, S, M$ and $D$ are functions of $x$ and $y$, and they are defined as follows.$A(x, y) = x + y$$M(x, y) = xy$$S(x,y)= x-y$$D(x,y)= x/y, y\neq 0$What is the value of $M(...
go_editor
13.8k
points
708
views
go_editor
asked
Mar 11, 2020
Quantitative Aptitude
cat2016
quantitative-aptitude
functions
+
–
0
votes
0
answers
15
CAT 2015 | Question: 81
The set of all positive integers is the union of two disjoint subsets$:\left \{ f\left ( 1 \right ),f\left ( 2 \right ), \dots, f\left ( n \right ), \dots \right \}$ ... $n \geq 1$. What is the value of $g\left ( 1 \right )?$ $0$ $2$ $1$ Cannot be determined
The set of all positive integers is the union of two disjoint subsets$:\left \{ f\left ( 1 \right ),f\left ( 2 \right ), \dots, f\left ( n \right ), \dots \right \}$ and ...
go_editor
13.8k
points
480
views
go_editor
asked
Mar 9, 2020
Quantitative Aptitude
cat2015
quantitative-aptitude
functions
+
–
1
votes
1
answer
16
CAT 2015 | Question: 82
For all non-negative integers $x$ and $y$, $f(x,y)$ is defined as below. $f( 0,y) = y+1$ $f(x+1,0) = f( x, 1)$ $f( x+1, y+1) = f\left( x,f( x+1,y) \right)$ Then what is the value of $f(1,2)$ ________
For all non-negative integers $x$ and $y$, $f(x,y)$ is defined as below.$f( 0,y) = y+1$$f(x+1,0) = f( x, 1)$$f( x+1, y+1) = f\left( x,f( x+1,y) \right)$Then what is the v...
go_editor
13.8k
points
2.5k
views
go_editor
asked
Mar 9, 2020
Quantitative Aptitude
cat2015
quantitative-aptitude
functions
numerical-answer
+
–
1
votes
1
answer
17
CAT 2011 | Question: 4
$\begin{array}{}Let\;f_{n+1}(x)&=f_n(x)+1\;\text{if $n$ is a multiple of 3}\\ &=f_n(x)-1\;\text{otherwise.}\end{array}$ If $f_1(1)=0$, then what is $f_{50}(1)$? $-18$ $-16$ $-17$ Cannot be determined
$\begin{array}{}Let\;f_{n+1}(x)&=f_n(x)+1\;\text{if $n$ is a multiple of 3}\\ &=f_n(x)-1\;\text{otherwise.}\end{array}$If $f_1(1)=0$, then what is $f_{50}(1)$?$-18$$-16$$...
Krithiga2101
298
points
837
views
Krithiga2101
asked
Mar 9, 2020
Quantitative Aptitude
cat2011
quantitative-aptitude
functions
+
–
0
votes
0
answers
18
CAT 2011 | Question: 17
The graphs given alongside represent two functions $f(x)\:\text{and}\:g(x)$ respectively. Which of the following is true? $g(x)=[f(x)]$ $g(x)=f(-x)$ $g(x)=-f(x)$ None of these
The graphs given alongside represent two functions $f(x)\:\text{and}\:g(x)$ respectively. Which of the following is true?$g(x)=[f(x)]$$g(x)=f(-x)$$g(x)=-f(x)$None of thes...
Krithiga2101
298
points
541
views
Krithiga2101
asked
Mar 9, 2020
Quantitative Aptitude
cat2011
quantitative-aptitude
functions
+
–
0
votes
0
answers
19
CAT 2011 | Question: 20
Consider the function given by $f(x) =\mid x-1\mid-x$ What is the area of the triangle bounded by the graph of the given function with the coordinate axis given by $x=0\:\text{and}\:y=0$? $2$ $\large\frac{1}{4}$ $\large\frac{1}{2}$ $1$
Consider the function given by $f(x) =\mid x-1\mid-x$What is the area of the triangle bounded by the graph of the given function with the coordinate axis given by $x=0\:\...
Krithiga2101
298
points
664
views
Krithiga2101
asked
Mar 9, 2020
Quantitative Aptitude
cat2011
quantitative-aptitude
functions
area
+
–
0
votes
0
answers
20
CAT 2011 | Question: 21
Consider the function given by $f(x) =\mid x-1\mid-x$ Which of the following is not true about the graph of $f(x)$? A portion of the graph is parallel to the line $y = 25$. A portion of graph is in 2nd quadrant. Some portion of graph lies in 1st quadrant. Some portion of graph lies in 3rd quadrant.
Consider the function given by $f(x) =\mid x-1\mid-x$Which of the following is not true about the graph of $f(x)$?A portion of the graph is parallel to the line $y = 25$....
Krithiga2101
298
points
444
views
Krithiga2101
asked
Mar 9, 2020
Quantitative Aptitude
cat2011
quantitative-aptitude
functions
+
–
1
votes
1
answer
21
CAT 2019 Set-1 | Question: 87
For any positive integer $n$, let $f(n)=n(n+1)$ if n is even, and $f(n)=n+3$ if n is odd. if $m$ is a positive integer such that $8f(m+1)-f(m)=2$, then $m$ equals _______
For any positive integer $n$, let $f(n)=n(n+1)$ if n is even, and $f(n)=n+3$ if n is odd. if $m$ is a positive integer such that $8f(m+1)-f(m)=2$, then $m$ equals ______...
go_editor
13.8k
points
713
views
go_editor
asked
Mar 8, 2020
Quantitative Aptitude
cat2019-1
quantitative-aptitude
functions
numerical-answer
+
–
1
votes
1
answer
22
CAT 2019 Set-1 | Question: 90
Consider a function $f$ satisfying $f(x+y)=f(x)f(y)$ where $x,y$ are positive integers, and $f(1)=2$. If $f(a+1)+f(a+2)+\ldots +f(a+n)=16(2^{n}-1)$ then $a$ is equal to ______
Consider a function $f$ satisfying $f(x+y)=f(x)f(y)$ where $x,y$ are positive integers, and $f(1)=2$. If $f(a+1)+f(a+2)+\ldots +f(a+n)=16(2^{n}-1)$ then $a$ is equal to _...
go_editor
13.8k
points
511
views
go_editor
asked
Mar 8, 2020
Quantitative Aptitude
cat2019-1
quantitative-aptitude
functions
numerical-answer
+
–
1
votes
0
answers
23
CAT 2013 | Question: 23
If $g(x)=p\mid x \mid-qx^2$, where $p$ and $q$ are constants, then at $x=0, g(x)$ will be maximum when $p>0,q>0$ minimum when $p<0,q<0$ minimum when $p>0,q<0$ maximum when $p>0,q<0$
If $g(x)=p\mid x \mid-qx^2$, where $p$ and $q$ are constants, then at $x=0, g(x)$ will bemaximum when $p>0,q>0$minimum when $p<0,q<0$minimum when $p>0,q<0$maximum when $p...
admin
3.7k
points
533
views
admin
asked
Mar 6, 2020
Quantitative Aptitude
cat2013
quantitative-aptitude
functions
+
–
0
votes
0
answers
24
CAT 2013 | Question: 29
Let $f(x)= \dfrac{1}{1+x^2}$ and $g(x)=\dfrac{e^{−x}}{1+[x]}$, where $[x]$ is the greatest integer less than or equal to $x$. Then which of the following domain is true? domain of $(f+g)=R-(-2,-1]$ domain of $(f+g)=R-[-1,0)$ ... Both II and IV Both I and III Both I and IV Both II and III
Let $f(x)= \dfrac{1}{1+x^2}$ and $g(x)=\dfrac{e^{−x}}{1+[x]}$, where $[x]$ is the greatest integer less than or equal to $x$. Then which of the following domain is true...
admin
3.7k
points
467
views
admin
asked
Mar 6, 2020
Quantitative Aptitude
cat2013
quantitative-aptitude
functions
+
–
0
votes
0
answers
25
CAT 2010 | Question: 16
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
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 corre...
Arjun
8.6k
points
437
views
Arjun
asked
Mar 1, 2020
Quantitative Aptitude
cat2010
quantitative-aptitude
functions
+
–
0
votes
1
answer
26
CAT 1999 | Question: 100
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? $F(f(x, -x)).G(f(x, -x))$ $F(f(x, x)).G(f(x, x)).4$ $-F(f(x, x)).G(f(x, -x)) \: \log_2 16$ $f(x,x).f(x,x)$
Answer the question based on the information given below:Let x and y be real numbers and let$f(x, y) = |x+y|, F(f(x, y)) = -f(x,y) \text{ and } G(f(x, y)) = -F(f(x, y))$W...
go_editor
13.8k
points
520
views
go_editor
asked
May 14, 2016
Logical Reasoning
cat1999
logical-reasoning
functions
+
–
0
votes
1
answer
27
CAT 1999 | Question: 98
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? $F(f(x,y)) .G(f(x,y)) = -F(f(x,y)).G(f(x,y))$ ... $F(f(x,y)) .G(f(x,y)) \neq G(f(x,y)).F(f(x,y))$ $F(f(x,y)) +G(f(x,y)) + f(x,y)= f(-x,-y)$
Answer the question based on the information given below:Let x and y be real numbers and let$f(x, y) = |x+y|, F(f(x, y)) = -f(x,y) \text{ and } G(f(x, y)) = -F(f(x, y))$W...
go_editor
13.8k
points
638
views
go_editor
asked
May 14, 2016
Logical Reasoning
cat1999
logical-reasoning
functions
+
–
0
votes
0
answers
28
CAT 2000 | Question: 76
Answer the following question based on the information given below. For real numbers $x, y,$ ... $x$ and $y$ are less than $-1$ Both $x$ and $y$ are positive Both $x$ and $y$ are negative $y > x$
Answer the following question based on the information given below.For real numbers $x, y,$ let$f(x, y) = \left\{\begin{matrix} \text{Positive square-root of}\; (x + y),\...
go_editor
13.8k
points
751
views
go_editor
asked
May 1, 2016
Quantitative Aptitude
cat2000
quantitative-aptitude
functions
+
–
0
votes
0
answers
29
CAT 2000 | Question: 79
Answer the following question based on the information given below. For three distinct real numbers $x, y$ and $z,$ let $f(x, y, z) = \min(\max(x, y), \max(y, z), \max(z, x))$ $g(x, y, z) = \max(\min(x, y), \min(y, z), \min(z, x))$ ... $(h(x, y, z) - f(x, y, z))/(n(x, y, z) - g(x, y, z))$
Answer the following question based on the information given below.For three distinct real numbers $x, y$ and $z,$ let$f(x, y, z) = \min(\max(x, y), \max(y, z), \max(z, x...
go_editor
13.8k
points
449
views
go_editor
asked
May 1, 2016
Quantitative Aptitude
cat2000
quantitative-aptitude
functions
+
–
0
votes
1
answer
30
CAT 2000 | Question: 78
Answer the following question based on the information given below. For three distinct real numbers $x, y$ and $z,$ let $f(x, y, z) = \min(\max(x, y), \max(y, z), \max(z, x))$ $g(x, y, z) = \max(\min(x, y), \min(y, z), \min(z, x))$ ... $(j(x, y, z) - g(x, y, z))/h(x, y, z)$ $(f(x, y, z) - h(x, y, z))/f(x, y, z)$
Answer the following question based on the information given below.For three distinct real numbers $x, y$ and $z,$ let$f(x, y, z) = \min(\max(x, y), \max(y, z), \max(z, x...
go_editor
13.8k
points
1.2k
views
go_editor
asked
May 1, 2016
Quantitative Aptitude
cat2000
quantitative-aptitude
functions
+
–
1
votes
1
answer
31
CAT 2014 | Question: 33
Use the following information for next two questions: A function $f(x)$ is said to be even if $f(-x) = f(x)$, and odd if $f(-x) = -f(x)$. Thus, for example, the function given by $f(x)=x^{2}$ is even, while the ... questions. The sum of two odd functions is always an even function is always an odd function is sometimes odd and sometimes even may be neither odd nor even
Use the following information for next two questions: A function $f(x)$ is said to be even if $f(-x) = f(x)$, and odd if $f(-x) = -f(x)$. Thus, for example, the function ...
go_editor
13.8k
points
697
views
go_editor
asked
Apr 27, 2016
Quantitative Aptitude
cat2014
quantitative-aptitude
functions
+
–
0
votes
0
answers
32
CAT 2000 | Question: 88
Answer the following question based on the information given below. For a real number $x,$ let f(x) = 1/(1 + x), if x is non-negative = 1+ x, if x is negative f$^n$(x) = f(f$^{n – 1}$(x)), n = 2, 3, .... $r$ is an integer $\geq 2.$ Then what is the value of $f^{r-1}(-r) + f^r(-r)+f^{r+1}(-r)$? $-1$ $0$ $1$ None of these
Answer the following question based on the information given below.For a real number $x,$ letf(x)= 1/(1 + x),if x is non-negative = 1+ x,if x is negativef$^n$(x)= f(f$^{n...
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Apr 25, 2016
Quantitative Aptitude
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quantitative-aptitude
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33
CAT 2000 | Question: 84
Answer the following question based on the information given below. Given below is a graph made up of straight-line segments shown as thick lines. Choose the answer as if $f(x) = 3 f(–x);$ if $f(x) = –f(–x);$ if $f(x) = f(–x);$ and if $3 f(x) = 6 f(–x),$ for $x\geq 0.$ $1$ $2$ $3$ $4$
Answer the following question based on the information given below.Given below is a graph made up of straight-line segments shown as thick lines. Choose the answer asif $...
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13.8k
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483
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Apr 25, 2016
Quantitative Aptitude
cat2000
quantitative-aptitude
functions
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34
CAT 2000 | Question: 83
Answer the following question based on the information given below. Given below is a graph made up of straight-line segments shown as thick lines. Choose the answer as if $f(x) = 3 f(–x);$ if $f(x) = –f(–x);$ if $f(x) = f(–x);$ and if $3 f(x) = 6 f(–x),$ for $x\geq 0.$ $1$ $2$ $3$ $4$
Answer the following question based on the information given below.Given below is a graph made up of straight-line segments shown as thick lines. Choose the answer asif $...
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13.8k
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515
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Apr 25, 2016
Quantitative Aptitude
cat2000
quantitative-aptitude
functions
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0
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0
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35
CAT 2000 | Question: 107
For all non-negative integers $x$ and $y, f(x, y)$ is defined as below $f(0, y) = y + 1$ $f(x + 1, 0) = f(x, 1)$ $f(x + 1,y + 1) = f(x, f(x + 1, y))$ Then, what is the value of $f(1, 2)?$ Two Four Three Cannot be determined
For all non-negative integers $x$ and $y, f(x, y)$ is defined as below$f(0, y) = y + 1$$f(x + 1, 0) = f(x, 1)$$f(x + 1,y + 1) = f(x, f(x + 1, y))$Then, what is the value ...
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Mar 30, 2016
Quantitative Aptitude
cat2000
quantitative-aptitude
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36
CAT 2000 | Question: 105
The set of all positive integers is the union of two disjoint subsets $\{f(1), f(2),\dots ,f(n),\dots\}$ and $\{g(1), g(2),\dots,g(n),\dots\},$ where $f(1) < f(2) <\dots < f(n) < \dots,$ and $g(1) < g(2) <\dots< g(n) < \dots,$ and $g(n) = f(f(n)) + 1$ for all $n \geq 1.$ What is the value of $g(1)?$ Zero Two One Cannot be determined
The set of all positive integers is the union of two disjoint subsets $\{f(1), f(2),\dots ,f(n),\dots\}$ and $\{g(1), g(2),\dots,g(n),\dots\},$ where $f(1) < f(2) <\dots ...
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Mar 30, 2016
Quantitative Aptitude
cat2000
quantitative-aptitude
functions
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37
CAT 2000 | Question: 87
Answer the following question based on the information given below. For a real number $x$, let f(x) = 1/(1 + x), if x is non-negative = 1+ x, if x is negative f$^n$(x) = f(f$^{n – 1}$(x)), n = 2, 3, .... What is the value of the product, $f(2)f^2(2)f^3(2)f^4(2)f^5(2)$? $\frac{1}{3}$ $3$ $\frac{1}{18}$ None of these
Answer the following question based on the information given below.For a real number $x$, letf(x)= 1/(1 + x),if x is non-negative = 1+ x,if x is negativef$^n$(x)= f(f$^{n...
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13.8k
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313
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Mar 29, 2016
Quantitative Aptitude
cat2000
quantitative-aptitude
functions
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0
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0
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38
CAT 2000 | Question: 82
Answer the following question based on the information given below. Given below is a graph made up of straight-line segments shown as thick lines. Choose the answer as if $f(x) = 3 f(–x);$ if $f(x) = –f(–x);$ if $f(x) = f(–x);$ and if $3 f(x) = 6 f(–x),$ for $x\geq 0.$ $1$ $2$ $3$ $4$
Answer the following question based on the information given below.Given below is a graph made up of straight-line segments shown as thick lines. Choose the answer asif $...
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13.8k
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318
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asked
Mar 29, 2016
Quantitative Aptitude
cat2000
quantitative-aptitude
functions
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0
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0
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39
CAT 2000 | Question: 77
Answer the following question based on the information given below. For three distinct real numbers $x, y$ and $z,$ let $f(x, y, z) = \min(\max(x, y), \max(y, z), \max(z, x))$ $g(x, y, z) = \max(\min(x, y), \min(y, z), \min(z, x))$ ... $f(x, y, z)/g(x, y, z)$ $(f(x, y, z) + h(x, y, z) - g(x, y, z))/j(x, y, z)$
Answer the following question based on the information given below.For three distinct real numbers $x, y$ and $z,$ let$f(x, y, z) = \min(\max(x, y), \max(y, z), \max(z, x...
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Mar 29, 2016
Quantitative Aptitude
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quantitative-aptitude
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0
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40
CAT 2000 | Question: 75
Answer the following question based on the information given below. For real numbers $x, y,$ let $f(x, y) = \left\{\begin{matrix} \text{Positive square-root of}\; (x + y),\;\text{if}\; (x + y)^{0.5}\;\text{is real} \\ (x + y)^2,\;\text{otherwise} \end{matrix}\right.$ ... $f(x, y) - (g(x, y))^2$ $g(x, y) - (f(x, y))^2$ $f(x, y) + g(x, y)$
Answer the following question based on the information given below.For real numbers $x, y,$ let$f(x, y) = \left\{\begin{matrix} \text{Positive square-root of}\; (x + y),\...
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13.8k
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394
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Mar 29, 2016
Quantitative Aptitude
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quantitative-aptitude
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