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Recent questions tagged quantitative-aptitude

0 votes
0 answers
641
CAT 2012 | Question: 9
$p$ is a prime and $m$ is a positive integer. How many solutions exist for the equation $p^{6}-p= (m^{2}+m+6)(p-1)$? $0$ $1$ $2$ $\text{Infinite}$
$p$ 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$$\text{Infinite}$
0 votes
0 answers
643
CAT 2012 | Question: 7
In the figure below, $\angle \text{MON} = \angle \text{MPO} = \angle \text{NQO} = 90^{\circ}$ and $\text{OQ}$ is the bisector of $\angle \text{MON}$ and $\text{QN} = 10, \text{OR} = 40/7$. Find $\text{OP}$. $4.8$ $4.5$ $4$ $5$
In the figure below, $\angle \text{MON} = \angle \text{MPO} = \angle \text{NQO} = 90^{\circ}$ and $\text{OQ}$ is the bisector of $\angle \text{MON}$ and $\text{QN} = 10,...
1 votes
1 answer
644
CAT 2012 | Question: 6
Find the remainder of $2^{1040}$ divided by $131$. $1$ $3$ $5$ $7$
Find the remainder of $2^{1040}$ divided by $131$.$1$$3$$5$$7$
1 votes
1 answer
645
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? $c^{2}\geq a^{2}$ $c^{4}\geq a^{2}(b^{2}+c^{2})$ $b^{2}\geq a^{2}$ $a^{4}\leq b^{2}(a^{2}+c^{2})$
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}$$c^{4}\geq a^{2}(b^{2}...
1 votes
1 answer
646
CAT 2012 | Question: 4
Which of the terms $2^{\frac{1}{3}},3^{\frac{1}{4}},4^{\frac{1}{6}},6^{\frac{1}{8}}$ and $10^{\frac{1}{12}}$ is the largest? $2^{\frac{1}{3}} \\$ $3^{\frac{1}{4}} \\$ $4^{\frac{1}{6}} \\$ $10^{\frac{1}{12}}$
Which of the terms $2^{\frac{1}{3}},3^{\frac{1}{4}},4^{\frac{1}{6}},6^{\frac{1}{8}}$ and $10^{\frac{1}{12}}$ is the largest?$2^{\frac{1}{3}} \\$$3^{\frac{1}{4}} \\$$4^{\f...
1 votes
1 answer
647
CAT 2012 | Question: 3
What is the sum of all the $2$-digit numbers which leave a remainder of $6$ when divided by $8$? $612$ $594$ $324$ $872$
What is the sum of all the $2$-digit numbers which leave a remainder of $6$ when divided by $8$?$612$$594$$324$$872$
1 votes
1 answer
648
CAT 2012 | Question: 2
Let $\text{P} = \{2,3,4,\ldots 100\}$ and $\text{Q}= \{101,102,103,\ldots 200\}.$ How many elements of $\text{Q}$ are there such that they do not have any element of $\text{P}$ as a factor? $20$ $24$ $23$ $21$
Let $\text{P} = \{2,3,4,\ldots 100\}$ and $\text{Q}= \{101,102,103,\ldots 200\}.$ How many elements of $\text{Q}$ are there such that they do not have any element of $\te...
0 votes
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649
CAT 2012 | Question: 1
Consider a sequence $\text{S}$ whose $n$th term $T_{n}$ is defined as $1+\frac{3}{n}$, where $n=1,2, \dots$. Find the product of all the consecutive terms of $\text{S}$ starting from the $4$th term to the $60$th term. $1980.50$ $1985.55$ $1990.55$ $1975.55$
Consider a sequence $\text{S}$ whose $n$th term $T_{n}$ is defined as $1+\frac{3}{n}$, where $n=1,2, \dots$. Find the product of all the consecutive terms of $\text{S}$ s...
1 votes
1 answer
651
CAT 2010 | Question: 3
$\text{P, Q and R}$ are three consecutive odd numbers in ascending order. If the value of three times $\text{P}$ is three less than two times $\text{R}$, find the value of $\text{R}$. $5$ $7$ $9$ $11$
$\text{P, Q and R}$ are three consecutive odd numbers in ascending order. If the value of three times $\text{P}$ is three less than two times $\text{R}$, find the value o...
2 votes
1 answer
653
CAT 2010 | Question: 1
If $r, s$ and $t$ are consecutive odd integers with $r < s < t$, which of the following must be true? $rs = t$ $r + t = 2t – s$ $r + s = t – 2$ $r + t = 2s$
If $r, s$ and $t$ are consecutive odd integers with $r < s < t$, which of the following must be true?$rs = t$$r + t = 2t – s$$r + s = t – 2$$r + t = 2s$
1 votes
1 answer
655
CAT 2010 | Question: 7
The sum of the areas of two circles which touch each other externally is $153\pi$. If the sum of their radii is $15$, find the ratio of the larger to the smaller radius $4$ $2$ $3$ None of these
The sum of the areas of two circles which touch each other externally is $153\pi$. If the sum of their radii is $15$, find the ratio of the larger to the smaller radius$4...
2 votes
1 answer
659
CAT 2010 | Question: 9
If $a, b$ and $c$ are three real numbers, then which of the following is not true? $\mid a+b \mid\leq \mid a \mid+\mid b \mid$ $\mid a – b \mid \leq \mid a \mid + \mid b\mid$ $\mid a-b \mid \leq \mid a \mid -\mid b \mid$ $\mid a-c \mid \leq \mid a-b \mid+\mid b-c \mid$
If $a, b$ and $c$ are three real numbers, then which of the following is not true?$\mid a+b \mid\leq \mid a \mid+\mid b \mid$$\mid a – b \mid \leq \mid a \mid + \mid b...
1 votes
1 answer
661
CAT 2010 | Question: 15
If three positive real numbers $a, b$ and $c(c>a)$ are in Harmonic Progression, then $\log\left ( a+c \right )+\log\left ( a-2b+c \right )$ is equal to: $2\:\log\left ( c-b \right )$ $2\:\log\left ( a-c\right )$ $2\:\log\left ( c-a\right )$ $\log\:a+\log\:b+\log\:c$
If three positive real numbers $a, b$ and $c(c>a)$ are in Harmonic Progression, then $\log\left ( a+c \right )+\log\left ( a-2b+c \right )$ is equal to:$2\:\log\left ( c-...
1 votes
1 answer
662
CAT 2010 | Question: 14
If $a=b^{2}=c^{3}=d^{4}$ then the value of $\log_{a}\;(abcd)$ would be $\log_{a}1+\log_{a}2+\log_{a}3+\log_{a}4$ $\log_{a}24$ $1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}$ $1+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}$
If $a=b^{2}=c^{3}=d^{4}$ then the value of $\log_{a}\;(abcd)$ would be$\log_{a}1+\log_{a}2+\log_{a}3+\log_{a}4$$\log_{a}24$$1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}$$1+\frac...
1 votes
1 answer
664
CAT 2010 | Question: 12
For which value of $k$ does the following pair of equations yield a unique solution for $x$ such that the solution is positive? $x^{2}-y^{2}=0$ $(x-k)^{2}+y^{2}=1$ $2$ $0$ $\sqrt{2}$ $\sqrt{-2}$
For which value of $k$ does the following pair of equations yield a unique solution for $x$ such that the solution is positive?$x^{2}-y^{2}=0$$(x-k)^{2}+y^{2}=1$$2$$0$$\s...
0 votes
0 answers
665
CAT 2010 | Question: 11
$\text{ABCD}$ is a rectangle. The points $\text{P}$ and $\text{Q}$ lie on $\text{AD}$ and $\text{AB}$ respectively. If the triangle $\text{PAQ, QBC}$ and $\text{PCD}$ all have the same areas and $\text{BQ} = 2$, then $\text{AQ} = $ $1+\sqrt{5}$ $1-\sqrt{5}$ $\sqrt{7}$ $2\sqrt{7}$
$\text{ABCD}$ is a rectangle. The points $\text{P}$ and $\text{Q}$ lie on $\text{AD}$ and $\text{AB}$ respectively. If the triangle $\text{PAQ, QBC}$ and $\text{PCD}$ all...
1 votes
1 answer
667
Finding the divisor
A number when divided by a divisor leaves a remainder of $24$. When twice the original number is divided by the same divisor, the remainder is $11$. What is the value of the divisor? $12$ $13$ $35$ $37$ $59$
A number when divided by a divisor leaves a remainder of $24$. When twice the original number is divided by the same divisor, the remainder is $11$. What is the value of ...
2 votes
2 answers
669
Interview Question
You have to play three games with opponents A and B in a specified sequence. You win the series if you win two consecutive games. A is a stronger player than B. Which sequence maximizes your chance of winning the series? AAB ABA BAB BAA All are the same.
You have to play three games with opponents A and B in a specified sequence. You win the series if you win two consecutive games. A is a stronger player than B. Which seq...
4 votes
4 answers
670
Problem on ages (RS AGGARWAL)
Four years ago, the father's age was three times the age of his son. The total of the ages of the father and the son after four years will be 64 years. What is the father's age at present?
Four years ago, the father's age was three times the age of his son. The total of the ages of the father and the son after four years will be 64 years. What is the father...
1 votes
1 answer
671
How to Prepare for Quantitatve Aptitude, Chapter: Number System, Topic: HCF & LCM
Which of the following represents the largest 4 digit number which can be added to 7249 in order to make the derived number divisible by each of 12, 14, 21, 33, and 54.(a...
0 votes
1 answer
672
self doubt
How many four-digit numbers, with distinct digits are there such that the sum of the digits of each of these numbers is an odd natural number? $2160$ $2090$ $1880$ $2376$
How many four-digit numbers, with distinct digits are there such that the sum of the digits of each of these numbers is an odd natural number?$2160$$2090$ $1880$ $2376$
6 votes
3 answers
674
NIELIT 2017
aamir and birju can cut 5000 g of wood in 20 min.birju and charles can cut 5000 g of wood in 40 min.charles and aamir can cut 5 kg of wood in 30 min.how much time charles will take to cut 5 kg wood alone??
aamir and birju can cut 5000 g of wood in 20 min.birju and charles can cut 5000 g of wood in 40 min.charles and aamir can cut 5 kg of wood in 30 min.how much time charles...
3 votes
1 answer
675
permutation question
How many ways $10$ roses can be distributed among $3$ girls?
How many ways $10$ roses can be distributed among $3$ girls?
3 votes
1 answer
676
Number System
$N$ is a $4$ digit number If the left most digit is removed the resulting number is $ \frac{1}{9}{th} \ of \ N$ How many such numbers are possible?
$N$ is a $4$ digit number If the left most digit is removed the resulting number is $ \frac{1}{9}{th} \ of \ N$ How many such numbers are possible?
2 votes
1 answer
678
A!*B!*C!=D!, A,B,C are all odd natural numbers and D=10,what is A*B*C?
A!*B!*C!=D!, A,B,C are all odd natural numbers and D=10,what is A*B*C?18910531527Please share approach too,
2 votes
1 answer
679
Calendar
The calendar for the year 2007 will be the same for the year. (a) 2012 (b) 2018
The calendar for the year 2007 will be the same for the year. (a) 2012 (b) 2018
2 votes
1 answer
680
Time Distance
Two trains A and B start simultaneously in the opposite direction from two points A and B and arrive at their destination 9 and 4 hrs respectively after their meeting each other. At what rate does the second train B travel if the fist travel at 80 kmph.
Two trains A and B start simultaneously in the opposite direction from two points A and B and arrive at their destination 9 and 4 hrs respectively after their meeting eac...
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