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Recent questions tagged cat2012
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41
CAT 2012 | Question: 20
$\text{A, B}$ and $\text{C}$ can independently do a work in $15$ days, $20$ days and $30$ days, respectively. They work together for some time after which $\text{C}$ leaves. $\text{A}$ total of $₹18000$ is paid for the work and $\text{B}$ gets $₹6000$ more than $\text{C}$. For how many days did $\text{A}$ work? $2$ $4$ $6$ $8$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
186
views
cat2012
quantitative-aptitude
work-time
work-cost
0
votes
0
answers
42
CAT 2012 | Question: 19
A car $\text{A}$ starts from a point $\text{P}$ towards another point $\text{Q}$. Another car $\text{B}$ starts (also from $\text{P})\; 1$ hour after the first car and overtakes it after covering $30\%$ of the distance $\text{PQ}$. After that, the cars continue. On ... the time taken by car $\text{B}$ to cover the distance $\text{PQ}$ (in hours). $3$ $4$ $5$ $3\frac{1}{3}$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
179
views
cat2012
quantitative-aptitude
speed-distance-time
0
votes
0
answers
43
CAT 2012 | Question: 18
A vessel has a milk solution in which milk and water are in the ratio $4:1$. By addition of water to it,milk solution with milk and water in the ratio $4:3$ was formed. On replacing $14\;\text{L}$ of this solution with pure milk the ratio of milk and water changed to $5:3$. What is the volume of the water added? $12\;\text{L}$ $60\;\text{L}$ $32\;\text{L}$ $24\;\text{L}$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
209
views
cat2012
quantitative-aptitude
alligation-mixture
0
votes
0
answers
44
CAT 2012 | Question: 17
Read the information carefully and answer the questions follow that. A cricket tournament had three teams India, Australia and Sri Lanka taking part in it. The format of the tournament was such that in the preliminary stage each of these teams, would play the other teams ... at the end of the preliminary stage, then atleast how many points did it have? $16$ $17$ $18$ $20$
Chandanachandu
asked
in
Logical Reasoning
Mar 5, 2020
by
Chandanachandu
308
points
234
views
cat2012
logical-reasoning
logic-puzzles
0
votes
0
answers
45
CAT 2012 | Question: 16
Read the information carefully and answer the questions follow that. A cricket tournament had three teams India, Australia and Sri Lanka taking part in it. The format of the tournament was such that in the preliminary stage each of these teams, would play the other ... the preliminary stage, then what is the maximum number of points it could have scored? $12$ $14$ $16$ $20$
Chandanachandu
asked
in
Logical Reasoning
Mar 5, 2020
by
Chandanachandu
308
points
144
views
cat2012
logical-reasoning
logic-puzzles
0
votes
0
answers
46
CAT 2012 | Question: 15
Read the information carefully and answer the questions follow that. A cricket tournament had three teams India, Australia and Sri Lanka taking part in it. The format of the tournament was such that in the preliminary stage each of these teams, would play the other ... then what is the minimum number of points it would scored in the preliminary stage? $8$ $10$ $12$ $16$
Chandanachandu
asked
in
Logical Reasoning
Mar 5, 2020
by
Chandanachandu
308
points
222
views
cat2012
logical-reasoning
logic-puzzles
0
votes
0
answers
47
CAT 2012 | Question: 13
If $a= \dfrac{x}{y+z},b= \dfrac{y}{z+y},c= \dfrac{z}{x+y}$, then which of the following statements is/are true? $\dfrac{b+c-1}{yz}+\dfrac{a+c-1}{xz}+\dfrac{a+b-1}{yx}=1 \\$ $\dfrac{x^{2}}{a(1-bc)}= \dfrac{y^{2}}{b(1-ca)}= \dfrac{z^{2}}{c(1-ab)} \\$ $(a+b)c+(b+c)a+(a+c)b= \dfrac{2(x+y+z)(xy+xz+yz)-6xyz}{(x+y)(y+z)(z+x)}$ I and II I and III II and III None of these
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
214
views
cat2012
quantitative-aptitude
algebra
0
votes
1
answer
48
CAT 2012 | Question: 14
If $\alpha$ and $\beta$ are the roots of the quadratic equation $x^{2}-10x+15= 0$, then find the quadratic equation whose roots are $\bigg(\alpha+\dfrac{\alpha }{\beta }\bigg)$ and $\bigg(\beta +\dfrac{\beta}{\alpha}\bigg)$ $15x^{2}+71x+210= 0$ $5x^{2}-22x+56= 0$ $3x^{2}-44x+78= 0$ Cannot be determined
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
225
views
cat2012
quantitative-aptitude
quadratic-equations
0
votes
0
answers
49
CAT 2012 | Question: 12
If $x$ is a real number, $[x]$ is greatest integer less than or equal to $x$, then $3[x]+2-[x]= 0$. Will the above equation have any real root? Yes No Will have real roots for $x< 0$ Will have real roots for $x> 0$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
111
views
cat2012
quantitative-aptitude
number-systems
0
votes
0
answers
50
CAT 2012 | Question: 11
A rectangle is drawn such that none of its sides has length greater than $‘a\text{’}$. All lengths less than $‘a\text{’}$ are equally likely. The chance that the rectangle has its diagonal greater than $‘a\text{’}$ is (in terms of $\%)$ $29.3 \%$ $21.5\%$ $66.66\%$ $33.33\%$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
122
views
cat2012
quantitative-aptitude
geometry
2
votes
0
answers
51
CAT 2012 | Question: 10
A certain number written in a certain base is $144$. Which of the following is always true? Square root of the number written in the same base is $12$. If base is increased by $2$, the number becomes $100$. Only I Only II Neither I nor II Both I and II
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
752
views
cat2012
quantitative-aptitude
number-systems
0
votes
0
answers
52
CAT 2012 | Question: 9
$p$ is a prime and $m$ is a positive integer. How many solutions exist for the equation $p^{6}-p= (m^{2}+m+6)(p-1)$? $0$ $1$ $2$ $\text{Infinite}$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
124
views
cat2012
quantitative-aptitude
number-systems
1
vote
1
answer
53
CAT 2012 | Question: 8
If $(a^{2}+b^{2}),(b^{2}+c^{2})$ and $(a^{2}+c^{2})$ are in geometric progression, which of the following holds true? $b^{2}-c^{2}= \dfrac{a^{4}-c^{4}}{b^{2}+a^{2}} \\$ $b^{2}-a^{2}= \dfrac{a^{4}-c^{4}}{b^{2}+c^{2}} \\$ $b^{2}-c^{2}= \dfrac{b^{4}-a^{4}}{b^{2}+a^{2}} \\$ $b^{2}-a^{2}= \dfrac{b^{4}-c^{4}}{b^{2}+a^{2}}$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
176
views
cat2012
quantitative-aptitude
geometric-progression
0
votes
0
answers
54
CAT 2012 | Question: 7
In the figure below, $\angle \text{MON} = \angle \text{MPO} = \angle \text{NQO} = 90^{\circ}$ and $\text{OQ}$ is the bisector of $\angle \text{MON}$ and $\text{QN} = 10, \text{OR} = 40/7$. Find $\text{OP}$. $4.8$ $4.5$ $4$ $5$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
158
views
cat2012
quantitative-aptitude
geometry
1
vote
1
answer
55
CAT 2012 | Question: 6
Find the remainder of $2^{1040}$ divided by $131$. $1$ $3$ $5$ $7$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
282
views
cat2012
quantitative-aptitude
number-systems
0
votes
1
answer
56
CAT 2012 | Question: 5
If the roots of the equation $(a^{2}+b^{2})x^{2}+2(b^{2}+c^{2})x+(b^{2}+c^{2})= 0$ are real, which of the following must hold true? $c^{2}\geq a^{2}$ $c^{4}\geq a^{2}(b^{2}+c^{2})$ $b^{2}\geq a^{2}$ $a^{4}\leq b^{2}(a^{2}+c^{2})$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
224
views
cat2012
quantitative-aptitude
quadratic-equations
1
vote
1
answer
57
CAT 2012 | Question: 4
Which of the terms $2^{\frac{1}{3}},3^{\frac{1}{4}},4^{\frac{1}{6}},6^{\frac{1}{8}}$ and $10^{\frac{1}{12}}$ is the largest? $2^{\frac{1}{3}} \\$ $3^{\frac{1}{4}} \\$ $4^{\frac{1}{6}} \\$ $10^{\frac{1}{12}}$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
141
views
cat2012
quantitative-aptitude
number-systems
1
vote
1
answer
58
CAT 2012 | Question: 3
What is the sum of all the $2$-digit numbers which leave a remainder of $6$ when divided by $8$? $612$ $594$ $324$ $872$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
252
views
cat2012
quantitative-aptitude
number-systems
1
vote
1
answer
59
CAT 2012 | Question: 2
Let $\text{P} = \{2,3,4,\ldots 100\}$ and $\text{Q}= \{101,102,103,\ldots 200\}.$ How many elements of $\text{Q}$ are there such that they do not have any element of $\text{P}$ as a factor? $20$ $24$ $23$ $21$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
717
views
cat2012
quantitative-aptitude
number-systems
0
votes
0
answers
60
CAT 2012 | Question: 1
Consider a sequence $\text{S}$ whose $n$th term $T_{n}$ is defined as $1+\frac{3}{n}$, where $n=1,2, \dots$. Find the product of all the consecutive terms of $\text{S}$ starting from the $4$th term to the $60$th term. $1980.50$ $1985.55$ $1990.55$ $1975.55$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Lakshman Patel RJIT
12.1k
points
136
views
cat2012
quantitative-aptitude
sequences&series
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