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921
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
922
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$$7$
1 votes
1 answer
923
CAT 2012 | Question: 5
If the roots of the equation $(a^{2}+b^{2})x^{2}+2(b^{2}+c^{2})x+(b^{2}+c^{2})= 0$ are real, which of the following must hold true? $c^{2}\geq a^{2}$ $c^{4}\geq a^{2}(b^{2}+c^{2})$ $b^{2}\geq a^{2}$ $a^{4}\leq b^{2}(a^{2}+c^{2})$
If the roots of the equation $(a^{2}+b^{2})x^{2}+2(b^{2}+c^{2})x+(b^{2}+c^{2})= 0$ are real, which of the following must hold true?$c^{2}\geq a^{2}$$c^{4}\geq a^{2}(b^{2}...
1 votes
1 answer
924
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
925
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$$872$
1 votes
1 answer
926
CAT 2012 | Question: 2
Let $\text{P} = \{2,3,4,\ldots 100\}$ and $\text{Q}= \{101,102,103,\ldots 200\}.$ How many elements of $\text{Q}$ are there such that they do not have any element of $\text{P}$ as a factor? $20$ $24$ $23$ $21$
Let $\text{P} = \{2,3,4,\ldots 100\}$ and $\text{Q}= \{101,102,103,\ldots 200\}.$ How many elements of $\text{Q}$ are there such that they do not have any element of $\te...
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927
CAT 2012 | Question: 1
Consider a sequence $\text{S}$ whose $n$th term $T_{n}$ is defined as $1+\frac{3}{n}$, where $n=1,2, \dots$. Find the product of all the consecutive terms of $\text{S}$ starting from the $4$th term to the $60$th term. $1980.50$ $1985.55$ $1990.55$ $1975.55$
Consider a sequence $\text{S}$ whose $n$th term $T_{n}$ is defined as $1+\frac{3}{n}$, where $n=1,2, \dots$. Find the product of all the consecutive terms of $\text{S}$ s...
1 votes
1 answer
929
CAT 2010 | Question: 3
$\text{P, Q and R}$ are three consecutive odd numbers in ascending order. If the value of three times $\text{P}$ is three less than two times $\text{R}$, find the value of $\text{R}$. $5$ $7$ $9$ $11$
$\text{P, Q and R}$ are three consecutive odd numbers in ascending order. If the value of three times $\text{P}$ is three less than two times $\text{R}$, find the value o...
2 votes
1 answer
931
CAT 2010 | Question: 1
If $r, s$ and $t$ are consecutive odd integers with $r < s < t$, which of the following must be true? $rs = t$ $r + t = 2t – s$ $r + s = t – 2$ $r + t = 2s$
If $r, s$ and $t$ are consecutive odd integers with $r < s < t$, which of the following must be true?$rs = t$$r + t = 2t – s$$r + s = t – 2$$r + t = 2s$
2 votes
1 answer
933
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$$\mid a – b \mid \leq \mid a \mid + \mid b...
1 votes
1 answer
935
CAT 2010 | Question: 7
The sum of the areas of two circles which touch each other externally is $153\pi$. If the sum of their radii is $15$, find the ratio of the larger to the smaller radius $4$ $2$ $3$ None of these
The sum of the areas of two circles which touch each other externally is $153\pi$. If the sum of their radii is $15$, find the ratio of the larger to the smaller radius$4...
1 votes
1 answer
939
CAT 2010 | Question: 15
If three positive real numbers $a, b$ and $c(c>a)$ are in Harmonic Progression, then $\log\left ( a+c \right )+\log\left ( a-2b+c \right )$ is equal to: $2\:\log\left ( c-b \right )$ $2\:\log\left ( a-c\right )$ $2\:\log\left ( c-a\right )$ $\log\:a+\log\:b+\log\:c$
If three positive real numbers $a, b$ and $c(c>a)$ are in Harmonic Progression, then $\log\left ( a+c \right )+\log\left ( a-2b+c \right )$ is equal to:$2\:\log\left ( c-...
1 votes
1 answer
940
CAT 2010 | Question: 14
If $a=b^{2}=c^{3}=d^{4}$ then the value of $\log_{a}\;(abcd)$ would be $\log_{a}1+\log_{a}2+\log_{a}3+\log_{a}4$ $\log_{a}24$ $1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}$ $1+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}$
If $a=b^{2}=c^{3}=d^{4}$ then the value of $\log_{a}\;(abcd)$ would be$\log_{a}1+\log_{a}2+\log_{a}3+\log_{a}4$$\log_{a}24$$1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}$$1+\frac...
1 votes
1 answer
942
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
943
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...
0 votes
1 answer
945
If 3x-2y=8, then 4y-6x is
1 votes
1 answer
946
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 ...
1 votes
1 answer
948
(number system) self doubts
when a number is divided by 13 ,the remainder is 11.when the same number is divided by 17,the remainder is 9.what is the number?
when a number is divided by 13 ,the remainder is 11.when the same number is divided by 17,the remainder is 9.what is the number?
0 votes
1 answer
949
triangle
The perimeter of a right angled triangle is 60 cm,its hypotenuse is 26 cm.what is the area of the triangle?
The perimeter of a right angled triangle is 60 cm,its hypotenuse is 26 cm.what is the area of the triangle?
0 votes
1 answer
950
work and wages(self doubts)
A can do a certain work in the same time in which B and C together can do it.If A and B together could do it in 10 days and C can alone in 50 days,then B alone in 50 days, then B alone could do it in:
A can do a certain work in the same time in which B and C together can do it.If A and B together could do it in 10 days and C can alone in 50 days,then B alone in 50 day...
0 votes
2 answers
951
work and time (self doubts)
A can do piece of work in 4 hours: B and C together can do it in 3 hours,while A and C together can do it in 2 hours. how long will B alone take to do it?
A can do piece of work in 4 hours: B and C together can do it in 3 hours,while A and C together can do it in 2 hours. how long will B alone take to do it?
0 votes
1 answer
952
work and time
3 men and 4 women can complete a work in 10 days by working 12 hours a day. 13 men and 24 women can do the same work by working same hours a day in 2 days. How much time would 12 men and 1 women working same hours a day will take to complete the whole work?
3 men and 4 women can complete a work in 10 days by working 12 hours a day. 13 men and 24 women can do the same work by working same hours a day in 2 days. How much time ...
0 votes
1 answer
953
work and wages
A and B took a job to be completed in 20 days. They started working together and after 12 days, C joined them and the whole job finished in 15 days. How much time would C require to complete the job if only C was hired?
A and B took a job to be completed in 20 days. They started working together and after 12 days, C joined them and the whole job finished in 15 days. How much time would C...
0 votes
2 answers
954
self doubts
Two friends A and B were employed to do a work. Initial deadline was fixed at 24 days. Both started working together but after 20 days, A left the work and the whole work took 30 days to complete. In how much time can B alone can do the work? ( In this question what in initial unit to do work or total work)
Two friends A and B were employed to do a work. Initial deadline was fixed at 24 days. Both started working together but after 20 days, A left the work and the whole work...
3 votes
1 answer
955
Amcat
What is the LCM of 147/64 and 30/44?
What is the LCM of 147/64 and 30/44?
1 votes
0 answers
957
altitude
A son Invest Half of his money in 47 stock at 100 and the other half in 67 at 90:Had he Inverted his money in order to buy Casual Amount of each stock, he would get 210 less of his Income Find his total Investment6100205
A son Invest Half of his money in 47 stock at 100 and the other half in 67 at 90:Had he Inverted his money in order to buy Casual Amount of each stock, he would get 210 l...
1 votes
1 answer
958
GEOMETRY
A car is approaching a light houise at uniform speed.The angle of elevation of car at the top of the light house changes from 45 to 60(IN DEGREES) in10 min.The time (in min) in which the car reach the base of the tower ?
A car is approaching a light houise at uniform speed.The angle of elevation of car at the top of the light house changes from 45 to 60(IN DEGREES) in10 min.The time (in ...
0 votes
1 answer
959
Probability
Can someone explain answer for this question(26)? In a box, there are $8$ red, $7$ blue and $6$ green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ? $\frac{2}{3}$ $\frac{3}{4}$ $\frac{7}{19}$ $\frac{9}{21}$
Can someone explain answer for this question(26)?In a box, there are $8$ red, $7$ blue and $6$ green balls. One ball is picked up randomly. What is the probability that i...
0 votes
0 answers
960
SELF
An oblong piece of ground measures 19m 2.5 dm by 12m5dm.From center of each side of the ground, a path 2m wide goes across to the center of the opposite side. What is the area of the path? A)59.5 m^2 B)54 m^2 C)78.4 m^2 D)34 m^2
An oblong piece of ground measures 19m 2.5 dm by 12m5dm.From center of each side of the ground, a path 2m wide goes across to the center of the opposite side. What is the...
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