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Recent questions tagged quantitative-aptitude

0 votes
2 answers
1361
CAT 2004 | Question: 43
If the sum of first $11$ terms of an arithmetic progression equals that of a first $19$ terms, then what is the sum of the first $30$ terms? $0$ $-1$ $1$ Not unique
If the sum of first $11$ terms of an arithmetic progression equals that of a first $19$ terms, then what is the sum of the first $30$ terms?$0$$-1$$1$Not unique
1 votes
1 answer
1364
CAT 2004 | Question: 40
A milkman mixes $20$ litres of water with $80$ litres of milk. After selling one-fourth of his mixture, he adds water to replenish the quantity that he has sold. What is the current proportion of water to milk? $2:3$ $1:2$ $1:3$ $3:4$
A milkman mixes $20$ litres of water with $80$ litres of milk. After selling one-fourth of his mixture, he adds water to replenish the quantity that he has sold. What is ...
1 votes
1 answer
1366
HCF and LCM
Calculate number of pairs Whose LCM is 800 and HCF is 20
Calculate number of pairs Whose LCM is 800 and HCF is 20
0 votes
0 answers
1368
CAT 2009 | Question: 19
There are three coplanar parallel lines. If any $p$ points are taken on each of the lines, then find the maximum number of triangles with the vertices of these points. $p^{2}(4p-3)$ $p^{3}(4p-3)$ $p(4p-3)$ $p^{3}$
There are three coplanar parallel lines. If any $p$ points are taken on each of the lines, then find the maximum number of triangles with the vertices of these points.$p^...
0 votes
0 answers
1369
CAT 2009 | Question: 18
M is the center of the circle. $l(\text{QS})=10 \sqrt{2},l (\text{PR}) = l(\text{RS})$ and $\text{PR} \| \text{QS}$. Find the area of the shaded region. (use $\pi=3$) $100$ sq. units $114$ sq. units $50$ sq. units $200$ sq. units
M is the center of the circle. $l(\text{QS})=10 \sqrt{2},l (\text{PR}) = l(\text{RS})$ and $\text{PR} \| \text{QS}$. Find the area of the shaded region. (use $\pi=3$)$100...
0 votes
0 answers
1372
CAT 2009 | Question: 15
A train crosses a platform $100$ meters long in $60$ seconds at a speed of $45$ km per hour. The time taken by the train to cross an electric pole, is $8$ seconds $1$ minute $52$ seconds Data inadequate.
A train crosses a platform $100$ meters long in $60$ seconds at a speed of $45$ km per hour. The time taken by the train to cross an electric pole, is$8$ seconds$1$ minut...
0 votes
0 answers
1380
CAT 2005 | Question: 27
Let $g(x)$ be a function such that $g(x+1) +g(x-1) = g(x)$ for every real $x.$ Then for what value of $p$ is the relation $g(x+p)=g(x)$ necessarily true for every real $x?$ $5$ $3$ $2$ $6$
Let $g(x)$ be a function such that $g(x+1) +g(x-1) = g(x)$ for every real $x.$ Then for what value of $p$ is the relation $g(x+p)=g(x)$ necessarily true for every real $x...
0 votes
0 answers
1381
CAT 2005 | Question: 26
Let $x=\sqrt{4+\sqrt{4-\sqrt{4+\sqrt{4-}}}} \dots$ to infinity. Then $x$ equals $3$ $\frac{\sqrt{13} -1}{2}$ $\frac{\sqrt{13} +1}{2}$ $\sqrt{13}$
Let $x=\sqrt{4+\sqrt{4-\sqrt{4+\sqrt{4-}}}} \dots$ to infinity. Then $x$ equals$3$$\frac{\sqrt{13} -1}{2}$$\frac{\sqrt{13} +1}{2}$$\sqrt{13}$
0 votes
0 answers
1382
CAT 2005 | Question: 25
Let $\text{S}$ be a positive integer such that every element $n$ of $\text{S}$ satisfies the conditions $1000 \leq n \leq 1200$ every digit in $n$ is odd Then how many elements of $\text{S}$ are divisible by $3?$ $9$ $10$ $11$ $12$
Let $\text{S}$ be a positive integer such that every element $n$ of $\text{S}$ satisfies the conditions$1000 \leq n \leq 1200$every digit in $n$ is oddThen how many elem...
0 votes
0 answers
1384
CAT 2005 | Question: 23
Consider the triangle $\text{ABC}$ shown in the following figure where $\text{BC = 12 cm, DB =9 cm, CD=6 cm,}$ and $\angle \text{BCD} = \angle \text{BAC}.$ What is the ratio of the perimeter of the triangle $\text{ADC}$ to that of the triangle $\text{BDC}?$ $7/9$ $8/9$ $6/9$ $5/9$
Consider the triangle $\text{ABC}$ shown in the following figure where $\text{BC = 12 cm, DB =9 cm, CD=6 cm,}$ and $\angle \text{BCD} = \angle \text{BAC}.$ What is the ra...
0 votes
0 answers
1386
CAT 2005 | Question: 21
In the $\text{X-Y}$ plane, the area of the region bounded by the graph $|x+y| + |x-y| =4$ is $8$ $12$ $16$ $20$
In the $\text{X-Y}$ plane, the area of the region bounded by the graph $|x+y| + |x-y| =4$ is$8$$12$$16$$20$
0 votes
1 answer
1388
CAT 2005 | Question: 19
For a positive integer $n$, let $\text{P}_n$ denote product of the digits of $n$ and $\text{S}_n$ denote the sum of the digits of $n$ The number of integers between $10$ and $1000$ for which $\text{P}_n + \text{S}_n = n$ is $81$ $16$ $18$ $9$
For a positive integer $n$, let $\text{P}_n$ denote product of the digits of $n$ and $\text{S}_n$ denote the sum of the digits of $n$ The number of integers between $10$ ...
0 votes
0 answers
1389
CAT 2005 | Question: 18
If $x \geq y$ and $y > 1$ then the value of the expression $\log_x\left(\frac{x}{y}\right) + \log_y\left(\frac{y}{x}\right)$ can never be $-1$ $-0.5$ $0$ $1$
If $x \geq y$ and $y 1$ then the value of the expression $\log_x\left(\frac{x}{y}\right) + \log_y\left(\frac{y}{x}\right)$ can never be$-1$$-0.5$$0$$1$
1 votes
1 answer
1391
CAT 2005 | Question: 16
The rightmost non-zero digit of the number $30^{2720}$ is ______ $1$ $3$ $7$ $9$
The rightmost non-zero digit of the number $30^{2720}$ is ______$1$$3$$7$$9$
0 votes
0 answers
1393
CAT 2005 | Question: 14
If $a_1 =1$ and $a_{n+1}-3a_n +2 = 4n$ for every positive integer n then $a_{100}$ equals $3^{99} - 200$ $3^{99} + 200$ $3^{100} - 200$ $3^{100} + 200$
If $a_1 =1$ and $a_{n+1}-3a_n +2 = 4n$ for every positive integer n then $a_{100}$ equals$3^{99} - 200$$3^{99} + 200$$3^{100} - 200$$3^{100} + 200$
0 votes
0 answers
1396
CAT 2005 | Question: 11
Let $n! = 1 \times 2 \times 3 \times \dots \times n$ for integer $n \geq 1$. If $p = 1! (2 \times 2!) + (3 \times 3!) + \dots + (10 \times 10!)$, then $p+2$ when divided by $11!$ leaves a remainder of $10$ $0$ $7$ $1$
Let $n! = 1 \times 2 \times 3 \times \dots \times n$ for integer $n \geq 1$. If $p = 1! (2 \times 2!) + (3 \times 3!) + \dots + (10 \times 10!)$, then $p+2$ when divided ...
0 votes
1 answer
1397
CAT 2005 | Question: 10
For which value of $k$ does the following pair of equations yield a unique solution for $x$ such that the solution is positive? $x^2 - y^2 =0$ $(x-k)^2 + y^2 =1$ $2$ $0$ $\sqrt{2}$ -$\sqrt{2}$
For which value of $k$ does the following pair of equations yield a unique solution for $x$ such that the solution is positive?$x^2 - y^2 =0$$(x-k)^2 + y^2 =1$$2$$0$$\sqr...
0 votes
1 answer
1398
CAT 2005 | Question: 09
What is the distance in cm between two parallel chords of length $32$ cm and $24$ cm in a circle of radius $20$ cm? $1$ or $7$ $2$ or $14$ $3$ or $21$ $4$ or $28$
What is the distance in cm between two parallel chords of length $32$ cm and $24$ cm in a circle of radius $20$ cm?$1$ or $7$$2$ or $14$$3$ or $21$$4$ or $28$
0 votes
1 answer
1399
CAT 2005 | Question: 08
If $\text{R} = \dfrac{30^{65} – 29^{65}}{30^{64} + 29^{64}}$ then $0 < \text{R} \leq 0.1$ $0.1 < \text{R} \leq 0.5$ $0.5 < \text{R} \leq 1.0$ $\text{R} > 1.0$
If $\text{R} = \dfrac{30^{65} – 29^{65}}{30^{64} + 29^{64}}$ then$0 < \text{R} \leq 0.1$$0.1 < \text{R} \leq 0.5$$0.5 < \text{R} \leq 1.0$$\text{R} 1.0$
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