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Recent questions tagged algebra
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1
CAT 2020 Set-3 | Question: 55
If $x_{1} = \;– 1$ and $x_{m} = x_{m+1} + (m + 1)$ for every positive integer $m, $ then $x_{100}$ equals $ – 5151 $ $ – 5150 $ $ – 5051 $ $ – 5050 $
If $x_{1} = \;– 1$ and $x_{m} = x_{m+1} + (m + 1)$ for every positive integer $m, $ then $x_{100}$ equals $ – 5151 $ $ – 5150 $ $ – 5051 $ $ – 5050 $
asked
Sep 17, 2021
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Quantitative Aptitude
soujanyareddy13
2.7k
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5
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79
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342
101
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cat2020-set3
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1
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CAT 2020 Set-3 | Question: 59
If $\text{a,b,c}$ are non-zero and $14^{a} = 36^{b} = 84^{c},$ then $6b \left( \frac{1}{c} \;– \frac{1}{a} \right)$ is equal to
If $\text{a,b,c}$ are non-zero and $14^{a} = 36^{b} = 84^{c},$ then $6b \left( \frac{1}{c} \;– \frac{1}{a} \right)$ is equal to
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Sep 17, 2021
in
Quantitative Aptitude
soujanyareddy13
2.7k
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5
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79
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342
150
views
cat2020-set3
quantitative-aptitude
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0
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3
CAT 2020 Set-3 | Question: 69
How many pairs $(a,b)$ of positive integers are there such that $a \leq b$ and $ab = 4^{2017} \; ?$ $2017$ $2019$ $2020$ $2018$
How many pairs $(a,b)$ of positive integers are there such that $a \leq b$ and $ab = 4^{2017} \; ?$ $2017$ $2019$ $2020$ $2018$
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Sep 17, 2021
in
Quantitative Aptitude
soujanyareddy13
2.7k
points
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5
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79
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342
33
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cat2020-set3
quantitative-aptitude
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2
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1
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4
CAT 2020 Set-2 | Question: 56
If $\textsf{x}$ and $\textsf{y}$ are positive real numbers satisfying $\textsf{x+y = 102},$ then the minimum possible value of $\textsf{2601} \left( 1 + \frac{1}{\textsf{x}} \right) \left( 1 + \frac{1}{\textsf{y}} \right)$ is
If $\textsf{x}$ and $\textsf{y}$ are positive real numbers satisfying $\textsf{x+y = 102},$ then the minimum possible value of $\textsf{2601} \left( 1 + \frac{1}{\textsf{x}} \right) \left( 1 + \frac{1}{\textsf{y}} \right)$ is
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Sep 17, 2021
in
Quantitative Aptitude
soujanyareddy13
2.7k
points
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5
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79
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342
129
views
cat2020-set2
quantitative-aptitude
algebra
numerical-answer
2
votes
1
answer
5
CAT 2020 Set-2 | Question: 60
For real $\textsf{x}$ , the maximum possible value of $ \frac{x}{\sqrt{1+x^{4}}}$ is $ \frac{1}{\sqrt{3}}$ $1$ $\frac{1}{\sqrt{2}}$ $\frac{1}{2}$
For real $\textsf{x}$ , the maximum possible value of $ \frac{x}{\sqrt{1+x^{4}}}$ is $ \frac{1}{\sqrt{3}}$ $1$ $\frac{1}{\sqrt{2}}$ $\frac{1}{2}$
asked
Sep 17, 2021
in
Quantitative Aptitude
soujanyareddy13
2.7k
points
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5
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79
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342
114
views
cat2020-set2
quantitative-aptitude
algebra
3
votes
1
answer
6
CAT 2020 Set-2 | Question: 71
The number of integers that satisfy the equality $\left( x^{2} – 5x + 7 \right)^{x+1} = 1$ is $2$ $3$ $5$ $4$
The number of integers that satisfy the equality $\left( x^{2} – 5x + 7 \right)^{x+1} = 1$ is $2$ $3$ $5$ $4$
asked
Sep 17, 2021
in
Quantitative Aptitude
soujanyareddy13
2.7k
points
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5
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79
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342
130
views
cat2020-set2
quantitative-aptitude
algebra
1
vote
1
answer
7
CAT 2020 Set-1 | Question: 57
The number of real$-$valued of the equation $2^{x}+2^{-x}=2-(x-2)^{2}$ is infinite $1$ $0$ $2$
The number of real$-$valued of the equation $2^{x}+2^{-x}=2-(x-2)^{2}$ is infinite $1$ $0$ $2$
asked
Sep 16, 2021
in
Quantitative Aptitude
soujanyareddy13
2.7k
points
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5
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79
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342
133
views
cat2020-set1
quantitative-aptitude
algebra
1
vote
1
answer
8
CAT 2020 Set-1 | Question: 59
How many distinct positive integer-valued solutions exist to the equation $\left ( x^{2}-7x+11 \right )^{(x^{2}-13x+42)} =1$? $6$ $8$ $2$ $4$
How many distinct positive integer-valued solutions exist to the equation $\left ( x^{2}-7x+11 \right )^{(x^{2}-13x+42)} =1$? $6$ $8$ $2$ $4$
asked
Sep 16, 2021
in
Quantitative Aptitude
soujanyareddy13
2.7k
points
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5
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79
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342
109
views
cat2020-set1
quantitative-aptitude
algebra
2
votes
1
answer
9
CAT 2020 Set-1 | Question: 67
If $x=\left ( 4096 \right )^{7+4\sqrt{3}}$, then which of the following equals $64$? $\frac{x^{7}}{x^{2\sqrt{3}}}$ $\frac{x^{7}}{x^{4\sqrt{3}}}$ $\frac{x\frac{7}{2}}{x\frac{4}{\sqrt{3}}}$ $\frac{x\frac{7}{2}}{x^{2\sqrt{3}}}$
If $x=\left ( 4096 \right )^{7+4\sqrt{3}}$, then which of the following equals $64$? $\frac{x^{7}}{x^{2\sqrt{3}}}$ $\frac{x^{7}}{x^{4\sqrt{3}}}$ $\frac{x\frac{7}{2}}{x\frac{4}{\sqrt{3}}}$ $\frac{x\frac{7}{2}}{x^{2\sqrt{3}}}$
asked
Sep 16, 2021
in
Quantitative Aptitude
soujanyareddy13
2.7k
points
●
5
●
79
●
342
86
views
cat2020-set1
quantitative-aptitude
algebra
1
vote
1
answer
10
CAT 2020 Set-1 | Question: 69
If $a, b$ and $c$ are positive integers such that $ab=432, bc=96$ and $c<9,$ then the smallest possible value of $a+b+c$ is $56$ $59$ $49$ $46$
If $a, b$ and $c$ are positive integers such that $ab=432, bc=96$ and $c<9,$ then the smallest possible value of $a+b+c$ is $56$ $59$ $49$ $46$
asked
Sep 16, 2021
in
Quantitative Aptitude
soujanyareddy13
2.7k
points
●
5
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79
●
342
108
views
cat2020-set1
quantitative-aptitude
algebra
1
vote
1
answer
11
CAT 2020 Set-1 | Question: 72
A gentleman decided to treat a few children in the following manner. He gives half of his total stock of toffees and one extra to the first child, and then the half of the remaining stock along with one extra to the second and continues giving ... fashion. His total stock exhausts after he takes care of $5$ children. How many toffees were there in his stock initially?
A gentleman decided to treat a few children in the following manner. He gives half of his total stock of toffees and one extra to the first child, and then the half of the remaining stock along with one extra to the second and continues giving away in this fashion. His total stock exhausts after he takes care of $5$ children. How many toffees were there in his stock initially?
asked
Sep 16, 2021
in
Quantitative Aptitude
soujanyareddy13
2.7k
points
●
5
●
79
●
342
113
views
cat2020-set1
quantitative-aptitude
algebra
numerical-answer
1
vote
1
answer
12
CAT 2020 Set-1 | Question: 75
The number of distinct real roots of the equation $\left ( x+\frac{1}{x}\right )^{2}-3\left ( x+\frac{1}{x} \right )+2= 0$ equals
The number of distinct real roots of the equation $\left ( x+\frac{1}{x}\right )^{2}-3\left ( x+\frac{1}{x} \right )+2= 0$ equals
asked
Sep 16, 2021
in
Quantitative Aptitude
soujanyareddy13
2.7k
points
●
5
●
79
●
342
102
views
cat2020-set1
quantitative-aptitude
algebra
numerical-answer
1
vote
1
answer
13
NIELIT 2016 MAR Scientist D: 71
A certain number when added to $50\%$ of itself is $27$. What is the number? $7$ $9$ $11$ $18$
A certain number when added to $50\%$ of itself is $27$. What is the number? $7$ $9$ $11$ $18$
asked
Apr 3, 2020
in
Quantitative Aptitude
Lakshman Patel RJIT
10.7k
points
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118
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744
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834
198
views
nielit2016mar-scientistd
quantitative-aptitude
algebra
0
votes
1
answer
14
NIELIT 2016 MAR Scientist D: 70
Twelve less than $4$ times a number is $20$. What is the number? $2$ $4$ $6$ $8$
Twelve less than $4$ times a number is $20$. What is the number? $2$ $4$ $6$ $8$
asked
Apr 3, 2020
in
Quantitative Aptitude
Lakshman Patel RJIT
10.7k
points
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118
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744
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834
265
views
nielit2016mar-scientistd
quantitative-aptitude
algebra
1
vote
1
answer
15
NIELIT 2016 MAR Scientist D: 69
The sum of a number and its double is $69$. What is the number? $46.6$ $34.5$ $23$ $20$
The sum of a number and its double is $69$. What is the number? $46.6$ $34.5$ $23$ $20$
asked
Apr 3, 2020
in
Quantitative Aptitude
Lakshman Patel RJIT
10.7k
points
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118
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744
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834
207
views
nielit2016mar-scientistd
quantitative-aptitude
algebra
0
votes
1
answer
16
NIELIT 2019 Feb Scientist D - Section D: 3
A school has $378$ girls and $675$ boys. All the students divided into strictly boys and strictly girls students sections. All the sections in the school has same number of students. What is the number of sections in the school? $27$ $36$ $39$ $23$
A school has $378$ girls and $675$ boys. All the students divided into strictly boys and strictly girls students sections. All the sections in the school has same number of students. What is the number of sections in the school? $27$ $36$ $39$ $23$
asked
Apr 3, 2020
in
Quantitative Aptitude
Lakshman Patel RJIT
10.7k
points
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118
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744
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834
302
views
nielit2019feb-scientistd
quantitative-aptitude
algebra
0
votes
1
answer
17
NIELIT 2019 Feb Scientist D - Section D: 26
A dog at point $A$ goes in pursuit of a fox $30$ $m$ away. The dog makes $2$ $m$ and the fox, $1$ m long leaps. If the dog makes two leaps to the fox’s three, at what distance from $A$ will the dog catch up with the fox ? $100$ $m$ $110$ $m$ $105$ $m$ $120$ $m$
A dog at point $A$ goes in pursuit of a fox $30$ $m$ away. The dog makes $2$ $m$ and the fox, $1$ m long leaps. If the dog makes two leaps to the fox’s three, at what distance from $A$ will the dog catch up with the fox ? $100$ $m$ $110$ $m$ $105$ $m$ $120$ $m$
asked
Apr 3, 2020
in
Quantitative Aptitude
Lakshman Patel RJIT
10.7k
points
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118
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744
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834
318
views
nielit2019feb-scientistd
quantitative-aptitude
algebra
0
votes
1
answer
18
NIELIT 2019 Feb Scientist D - Section D: 27
If $5$ spiders can catch $5$ files in $5$ minutes. How many files can $100$ spiders catch in $100$ minutes : $100$ $1000$ $500$ $2000$
If $5$ spiders can catch $5$ files in $5$ minutes. How many files can $100$ spiders catch in $100$ minutes : $100$ $1000$ $500$ $2000$
asked
Apr 3, 2020
in
Quantitative Aptitude
Lakshman Patel RJIT
10.7k
points
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118
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744
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834
210
views
nielit2019feb-scientistd
quantitative-aptitude
algebra
0
votes
0
answers
19
NIELIT 2016 MAR Scientist C - Section A: 12
The expression $(11.98\times 11.98 + 11.98 \times x +0.02 \times 0.02)$ will be a perfect square for $x$ equal to: $2.02$ $0.17$ $0.04$ $1.4$
The expression $(11.98\times 11.98 + 11.98 \times x +0.02 \times 0.02)$ will be a perfect square for $x$ equal to: $2.02$ $0.17$ $0.04$ $1.4$
asked
Apr 2, 2020
in
Quantitative Aptitude
Lakshman Patel RJIT
10.7k
points
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118
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744
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834
112
views
nielit2016mar-scientistc
algebra
quadratic-equations
0
votes
1
answer
20
NIELIT 2016 MAR Scientist C - Section A: 15
The value of $\large\frac{(0.96)^3-(0.1)^3}{(0.96)^2+0.096+(0.1)^2}$ is : $0.86$ $0.95$ $0.97$ $1.06$
The value of $\large\frac{(0.96)^3-(0.1)^3}{(0.96)^2+0.096+(0.1)^2}$ is : $0.86$ $0.95$ $0.97$ $1.06$
asked
Apr 2, 2020
in
Quantitative Aptitude
Lakshman Patel RJIT
10.7k
points
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118
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744
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834
304
views
nielit2016mar-scientistc
algebra
0
votes
0
answers
21
NIELIT 2019 Feb Scientist C - Section D: 15
The simplified form of $\left[ \left ( \left( \dfrac{a+1}{a-1}\right)^2+3 \right)\div \left( \left( \dfrac{a+1}{a-1}\right)^2+3\right) \right] \div \left [\left( \dfrac{a^{3}+1}{a^{3}-1}\right)-\dfrac{2a}{a-1} \right]$ is: $a-1$ $1-a$ $-1$ $1$
The simplified form of $\left[ \left ( \left( \dfrac{a+1}{a-1}\right)^2+3 \right)\div \left( \left( \dfrac{a+1}{a-1}\right)^2+3\right) \right] \div \left [\left( \dfrac{a^{3}+1}{a^{3}-1}\right)-\dfrac{2a}{a-1} \right]$ is: $a-1$ $1-a$ $-1$ $1$
asked
Apr 1, 2020
in
Quantitative Aptitude
Lakshman Patel RJIT
10.7k
points
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118
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744
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834
158
views
nielit2019feb-scientistc
algebra
0
votes
1
answer
22
NIELIT 2019 Feb Scientist C - Section D: 23
$₹6500/-$ were divided among a certain number of persons. If there had been $15$ more persons, each would have got $₹30/-$ less. Find the original number of persons. $50$ $60$ $45$ $55$
$₹6500/-$ were divided among a certain number of persons. If there had been $15$ more persons, each would have got $₹30/-$ less. Find the original number of persons. $50$ $60$ $45$ $55$
asked
Apr 1, 2020
in
Quantitative Aptitude
Lakshman Patel RJIT
10.7k
points
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118
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744
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834
323
views
nielit2019feb-scientistc
quantitative-aptitude
algebra
0
votes
1
answer
23
NIELIT 2019 Feb Scientist C - Section D: 30
A charitable trust donates $28$ different books of Maths, $16$ different books of science and $12$ different books of social science to poor students. Each student is given maximum number of books of only one subject of their interest and each student got equal number of books. Find the total number of students who got books. $14$ $10$ $12$ $15$
A charitable trust donates $28$ different books of Maths, $16$ different books of science and $12$ different books of social science to poor students. Each student is given maximum number of books of only one subject of their interest and each student got equal number of books. Find the total number of students who got books. $14$ $10$ $12$ $15$
asked
Apr 1, 2020
in
Quantitative Aptitude
Lakshman Patel RJIT
10.7k
points
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118
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744
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834
348
views
nielit2019feb-scientistc
quantitative-aptitude
algebra
0
votes
1
answer
24
NIELIT 2019 Feb Scientist C - Section C: 3
The factors of $(x^{2}+4y^{2}+4y-4xy-2x-8)$ are: $(x-2y-4)(x-2y+2)$ $(x-y+2)(x-4y-4)$ $(x+2y-4)(x+2y+2)$ None of these
The factors of $(x^{2}+4y^{2}+4y-4xy-2x-8)$ are: $(x-2y-4)(x-2y+2)$ $(x-y+2)(x-4y-4)$ $(x+2y-4)(x+2y+2)$ None of these
asked
Apr 1, 2020
in
Quantitative Aptitude
Lakshman Patel RJIT
10.7k
points
●
118
●
744
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834
251
views
nielit2019feb-scientistc
algebra
1
vote
2
answers
25
NIELIT 2019 Feb Scientist C - Section C: 19
If $a^{x}=b, b^{y}=c$ and $c^{z}=a$, then $xyz$ equals: $abc$ $\dfrac{1}{abc}$ $1$ None
If $a^{x}=b, b^{y}=c$ and $c^{z}=a$, then $xyz$ equals: $abc$ $\dfrac{1}{abc}$ $1$ None
asked
Apr 1, 2020
in
Quantitative Aptitude
Lakshman Patel RJIT
10.7k
points
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118
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744
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834
284
views
nielit2019feb-scientistc
algebra
1
vote
1
answer
26
CAT 2019 Set-2 | Question: 86
What is the largest positive integer $n$ such that $\frac{n^{2}+7n+12}{n^{2}-n-12}$ is also a positive integer? $8$ $12$ $16$ $6$
What is the largest positive integer $n$ such that $\frac{n^{2}+7n+12}{n^{2}-n-12}$ is also a positive integer? $8$ $12$ $16$ $6$
asked
Mar 20, 2020
in
Quantitative Aptitude
go_editor
13.3k
points
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306
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2250
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2467
356
views
cat2019-2
quantitative-aptitude
algebra
1
vote
1
answer
27
CAT 2019 Set-2 | Question: 97
If $5^{x}-3^{y}=13438$ and $5^{x-1}+3^{y+1}=9686$, then $x+y$ equals _______
If $5^{x}-3^{y}=13438$ and $5^{x-1}+3^{y+1}=9686$, then $x+y$ equals _______
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Mar 20, 2020
in
Quantitative Aptitude
go_editor
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306
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2250
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2467
261
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cat2019-2
quantitative-aptitude
algebra
numerical-answer
2
votes
1
answer
28
CAT 2018 Set-1 | Question: 69
Given that $x^{2018}y^{2017}=1/2$ and $x^{2016}y^{2019}=8$, the value of $x^2+y^3$ is $35/4$ $37/4$ $31/4$ $33/4$
Given that $x^{2018}y^{2017}=1/2$ and $x^{2016}y^{2019}=8$, the value of $x^2+y^3$ is $35/4$ $37/4$ $31/4$ $33/4$
asked
Mar 20, 2020
in
Quantitative Aptitude
go_editor
13.3k
points
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306
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2250
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2467
216
views
cat2018-1
quantitative-aptitude
algebra
2
votes
1
answer
29
CAT 2018 Set-1 | Question: 77
If $u^2+(u-2v-1)^2=-4v(u+v)$, then what is the value of $u+3v$ ? $1/4$ $0$ $1/2$ $-1/4$
If $u^2+(u-2v-1)^2=-4v(u+v)$, then what is the value of $u+3v$ ? $1/4$ $0$ $1/2$ $-1/4$
asked
Mar 20, 2020
in
Quantitative Aptitude
go_editor
13.3k
points
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306
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2250
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2467
154
views
cat2018-1
quantitative-aptitude
algebra
1
vote
1
answer
30
CAT 2017 Set-2 | Question: 94
How many different pairs $(a,b)$ of positive integers are there such that $a\leq b$ and $1/a+1/b=1/9$ None of these $2$ $0$ $1$
How many different pairs $(a,b)$ of positive integers are there such that $a\leq b$ and $1/a+1/b=1/9$ None of these $2$ $0$ $1$
asked
Mar 16, 2020
in
Quantitative Aptitude
go_editor
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306
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2250
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2467
146
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cat2017-2
quantitative-aptitude
algebra
1
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31
CAT 2017 Set-2 | Question: 91
If $9^{\left ( x-1/2 \right )}-2^{\left ( 2x-2 \right )}=4^{x}-3^{\left (2x-3 \right )}$, then $x$ is $3/2$ $2/5$ $3/4$ $4/9$
If $9^{\left ( x-1/2 \right )}-2^{\left ( 2x-2 \right )}=4^{x}-3^{\left (2x-3 \right )}$, then $x$ is $3/2$ $2/5$ $3/4$ $4/9$
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Mar 16, 2020
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Quantitative Aptitude
go_editor
13.3k
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306
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2250
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2467
150
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cat2017-2
quantitative-aptitude
algebra
1
vote
1
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32
CAT 2017 Set-1 | Question: 90
If $9^{2x-1}-81^{x-1}= 1944$ then $x$ is $3$ $9/4$ $4/9$ $1/3$
If $9^{2x-1}-81^{x-1}= 1944$ then $x$ is $3$ $9/4$ $4/9$ $1/3$
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Mar 13, 2020
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Quantitative Aptitude
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306
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2467
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cat2017-1
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algebra
1
vote
1
answer
33
CAT 2017 Set-1 | Question: 88
If $x+1= x^{2}$ and $x> 0$, then $2x^{4}$ is $6+4\sqrt{5}$ $3+5\sqrt{5}$ $5+3\sqrt{5}$ $7+3\sqrt{5}$
If $x+1= x^{2}$ and $x> 0$, then $2x^{4}$ is $6+4\sqrt{5}$ $3+5\sqrt{5}$ $5+3\sqrt{5}$ $7+3\sqrt{5}$
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Mar 13, 2020
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Quantitative Aptitude
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306
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2250
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2467
191
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cat2017-1
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algebra
1
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1
answer
34
CAT 2017 Set-1 | Question: 94
If $a, b, c$ and $d$ are integers such that $a+b+c+d=30$ , then the minimum possible value of $( a-b )^{2}+( a-c )^{2}+( a-d)^{2}$ is $1$ $2$ $5$ $6$
If $a, b, c$ and $d$ are integers such that $a+b+c+d=30$ , then the minimum possible value of $( a-b )^{2}+( a-c )^{2}+( a-d)^{2}$ is $1$ $2$ $5$ $6$
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Mar 13, 2020
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Quantitative Aptitude
go_editor
13.3k
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306
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2250
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2467
136
views
cat2017-1
quantitative-aptitude
algebra
1
vote
1
answer
35
CAT 2016 | Question: 100
If three positive real numbers $x,y,z$ satisfy $y–x=z–y$ and $xyz = 4$, then what is the minimum possible value of $y$? $2^{(1/3)}$ $2^{(2/3)}$ $2^{(1/4)}$ $2^{(3/4)}$
If three positive real numbers $x,y,z$ satisfy $y–x=z–y$ and $xyz = 4$, then what is the minimum possible value of $y$? $2^{(1/3)}$ $2^{(2/3)}$ $2^{(1/4)}$ $2^{(3/4)}$
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Mar 11, 2020
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Quantitative Aptitude
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306
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152
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cat2016
quantitative-aptitude
algebra
0
votes
1
answer
36
CAT 2015 | Question: 92
Let $x<0,\:0<y<1,\:z>1$. Which of the following may be false? $\left (x ^{2} -z^{2}\right )$ has to be positive. $yz$ can be less than one. $xy$ can never be zero. $\left (y ^{2} -z^{2}\right )$ is always negative.
Let $x<0,\:0<y<1,\:z>1$. Which of the following may be false? $\left (x ^{2} -z^{2}\right )$ has to be positive. $yz$ can be less than one. $xy$ can never be zero. $\left (y ^{2} -z^{2}\right )$ is always negative.
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Mar 9, 2020
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Quantitative Aptitude
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144
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cat2015
quantitative-aptitude
algebra
2
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1
answer
37
CAT 2019 Set-1 | Question: 83
If $(5.55)^{x}=(0.555)^{y}=1000$, then the value of $\frac{1}{x}-\frac{1}{y}$ is $3$ $1$ $\frac{1}{3}$ $\frac{2}{3}$
If $(5.55)^{x}=(0.555)^{y}=1000$, then the value of $\frac{1}{x}-\frac{1}{y}$ is $3$ $1$ $\frac{1}{3}$ $\frac{2}{3}$
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Mar 8, 2020
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Quantitative Aptitude
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algebra
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0
answers
38
CAT 2011 | Question: 53
Consider the following operators defined below
[email protected]
$: gives the positive difference of $x$ and $y.$ $x\$y$: gives the sum of squares of $x$ and $y.$ $x₤y$: gives the positive difference of the squares of $x$ and $y.$ $x\&y$:gives the product of $ ... $ will be equal to $x₤y$ $x\$y$ $(x₤y)(
[email protected]
)$ Cannot be determined
Consider the following operators defined below
[email protected]
$: gives the positive difference of $x$ and $y.$ $x\$y$: gives the sum of squares of $x$ and $y.$ $x₤y$: gives the positive difference of the squares of $x$ and $y.$ $x\&y$:gives the product of $x$ and $ ... $ will be equal to $x₤y$ $x\$y$ $(x₤y)(
[email protected]
)$ Cannot be determined
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Mar 7, 2020
in
Logical Reasoning
Krithiga2101
262
points
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6
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53
●
68
66
views
cat2011
logical-reasoning
algebra
0
votes
0
answers
39
CAT 2011 | Question: 52
Consider the following operators defined below
[email protected]
$: gives the positive difference of $x$ and $y.$ $x\$y$: gives the sum of squares of $x$ and $y.$ $x₤y$: gives the positive difference of the squares of $x$ and $y.$ $x\&y$:gives the product of $x$ and $ ... $, then find $(x\$y)+(x₤y)$. $2x^2$ $2y^2$ $2(x^2+y^2)$ Cannot be determined
Consider the following operators defined below
[email protected]
$: gives the positive difference of $x$ and $y.$ $x\$y$: gives the sum of squares of $x$ and $y.$ $x₤y$: gives the positive difference of the squares of $x$ and $y.$ $x\&y$:gives the product of $x$ and $y.$ Also, $x,y\:\in ... $, then find $(x\$y)+(x₤y)$. $2x^2$ $2y^2$ $2(x^2+y^2)$ Cannot be determined
asked
Mar 7, 2020
in
Logical Reasoning
Krithiga2101
262
points
●
6
●
53
●
68
92
views
cat2011
logical-reasoning
algebra
0
votes
0
answers
40
CAT 2011 | Question: 51
Given $a$ and $b = a-b$; $a$ and $b$ but $c=a+c-b$; $a$ or $b=b-a$; $a$ but not $b= a+b$; find $1$ or $(2$ but not $(3$ or $(4$ and $5$ but $(6$ but not $(7$ and $(8$ or $9) ) ) ) ) ).$ $9$ $-8$ $-11$ $17$
Given $a$ and $b = a-b$; $a$ and $b$ but $c=a+c-b$; $a$ or $b=b-a$; $a$ but not $b= a+b$; find $1$ or $(2$ but not $(3$ or $(4$ and $5$ but $(6$ but not $(7$ and $(8$ or $9) ) ) ) ) ).$ $9$ $-8$ $-11$ $17$
asked
Mar 7, 2020
in
Logical Reasoning
Krithiga2101
262
points
●
6
●
53
●
68
117
views
cat2011
logical-reasoning
algebra
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