Register

Recent questions tagged quantitative-aptitude

0 votes
1 answer
1321
CAT 2014 | Question: 44
John bought five toffees and ten chocolates together for forty rupees. Subsequently, he returned one toffee and got two chocolates in exchange. The price of an chocolate would be $1$ $2$ $3$ $4$
John bought five toffees and ten chocolates together for forty rupees. Subsequently, he returned one toffee and got two chocolates in exchange. The price of an chocolate ...
0 votes
0 answers
1322
CAT 2014 | Question: 37
A lead cuboid of $8$ inches in length, $11$ inches in breadth, and $2$ inches thick was melted and resolidified into the form of a rod of $8$ inches diameter. The length of such a rod, in inches, is nearest to $3$ $3.5$ $4$ $4.5$
A lead cuboid of $8$ inches in length, $11$ inches in breadth, and $2$ inches thick was melted and resolidified into the form of a rod of $8$ inches diameter. The length ...
1 votes
1 answer
1323
CAT 2014 | Question: 35
A box contains $6$ red balls, $7$ green balls and $5$ blue balls. Each ball is of a different size. The probability that the red ball selected is the smallest red ball, is $1/18$ $1/3$ $1/6$ $2/3$
A box contains $6$ red balls, $7$ green balls and $5$ blue balls. Each ball is of a different size. The probability that the red ball selected is the smallest red ball, i...
0 votes
0 answers
1324
CAT 2014 | Question: 34
A five digit number is formed using digits $1, 3, 5, 7$ and $9$ without repeating any one of them. What is the sum of all such possible numbers? $6666600$ $6666660$ $6666666$ None
A five digit number is formed using digits $1, 3, 5, 7$ and $9$ without repeating any one of them. What is the sum of all such possible numbers? $6666600$ $6666660$ $6666...
0 votes
1 answer
1326
CAT 2014 | Question: 27
The line $\text{AB}$ is $6$ metres in length and is tangent to the inner one of the two concentric circles at point $\text{C}.$ It is known that the radii of the two circles are integers. The radius of the outer circle is $5$ metres $4$ metres $6$ metres $3$ metres
The line $\text{AB}$ is $6$ metres in length and is tangent to the inner one of the two concentric circles at point $\text{C}.$ It is known that the radii of the two circ...
0 votes
0 answers
1327
CAT 2014 | Question: 26
Three identical cones with base radius $r$ are placed on their bases so that each is touching the other two. The radius of the circle drawn through their vertices is smaller than $r$. equal to $r$. larger than $r$. depends on the height of the cones.
Three identical cones with base radius $r$ are placed on their bases so that each is touching the other two. The radius of the circle drawn through their vertices is smal...
0 votes
0 answers
1328
CAT 2014 | Question: 25
From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. What is the ratio of the two numbers? $2 : 1$ $3 : 1$ $3 : 2$ None
From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. What is the rat...
0 votes
1 answer
1329
CAT 2014 | Question: 11
If $y = f(x)$ and $f(x) = (1 - x) / (1 + x)$, which of the following is true? $f(2x) = f(x) – 1$ $x = f(2y) - 1$ $f(1/x) = f(x)$ $x = f(y)$
If $y = f(x)$ and $f(x) = (1 - x) / (1 + x)$, which of the following is true? $f(2x) = f(x) – 1$ $x = f(2y) - 1$ $f(1/x) = f(x)$ $x = f(y)$
0 votes
1 answer
1330
CAT 2014 | Question: 10
A circle is inscribed in a given square and another circle is circumscribed about the square. What is the ratio of the area of the inscribed circle to that of the circumscribed circle? $2 : 3$ $3 : 4$ $1 : 4$ $1 : 2$
A circle is inscribed in a given square and another circle is circumscribed about the square. What is the ratio of the area of the inscribed circle to that of the circums...
1 votes
1 answer
1331
CAT 2004 | Question: 73
A circle with radius $2$ is placed against a right angle. Another small circle is also placed as shown in the adjoining figure. What is the radius of the smaller circle? $3-2 \sqrt{2}$ $4-2 \sqrt{2}$ $7-4 \sqrt{2}$ $6-4 \sqrt{2}$
A circle with radius $2$ is placed against a right angle. Another small circle is also placed as shown in the adjoining figure. What is the radius of the smaller circle?$...
0 votes
0 answers
1334
CAT 2004 | Question: 70
Let $u=( \log_2 x)^2 – 6 \log_2 x + 12$ where $x$ is a real number. Then the equation $x^u =256$, has no solution for $x$ exactly one solution for $x$ exactly two distinct solutions for $x$ exactly three distinct solutions for $x$
Let $u=( \log_2 x)^2 – 6 \log_2 x + 12$ where $x$ is a real number. Then the equation $x^u =256$, hasno solution for $x$exactly one solution for $x$exactly two distinct...
0 votes
0 answers
1337
CAT 2014 | Question: 3
From a circular sheet of paper with a radius $20$ cm, four circles of radius $5$ cm each are cut out. What is the ratio of the uncut to the cut portion? $1:3$ $4:1$ $3:1$ $4:3$
From a circular sheet of paper with a radius $20$ cm, four circles of radius $5$ cm each are cut out. What is the ratio of the uncut to the cut portion? $1:3$$4:1$$3:1$$4...
0 votes
0 answers
1338
CAT 2014 | Question: 2
Instead of a metre scale, a cloth merchant uses a $120$ cm scale while buying, but uses an $80$ cm scale while selling the same cloth. What is his overall profit percentage? $50\%$ $25\%$ $40\%$ $15\%$
Instead of a metre scale, a cloth merchant uses a $120$ cm scale while buying, but uses an $80$ cm scale while selling the same cloth. What is his overall profit percenta...
0 votes
0 answers
1339
CAT 2014 | Question: 1
If $\text{ABCD}$ is a square and $\text{BCE}$ is an equilateral triangle, what is the measure of angle $\angle \text{DEC}?$ $15^{\circ}$ $30^{\circ}$ $20^{\circ}$ $45^{\circ}$
If $\text{ABCD}$ is a square and $\text{BCE}$ is an equilateral triangle, what is the measure of angle $\angle \text{DEC}?$ $15^{\circ}$$30^{\circ}$$20^{\circ}$$45^{\circ...
0 votes
1 answer
1340
CAT 2004 | Question: 68
In the adjoining figure, the lines represent one-way roads allowing travel only northwards or only westwards. Along how many distinct routes can a car reach point B from point A? $15$ $56$ $120$ $336$
In the adjoining figure, the lines represent one-way roads allowing travel only northwards or only westwards. Along how many distinct routes can a car reach point B from ...
0 votes
0 answers
1341
CAT 2004 | Question: 67
The remainder, when $(15^{23} + 23^{23})$ is divided by $19,$ is $4$ $15$ $0$ $18$
The remainder, when $(15^{23} + 23^{23})$ is divided by $19,$ is$4$$15$$0$$18$
0 votes
1 answer
1342
CAT 2004 | Question: 66
Consider the sequence of the numbers $a_1, a_2, a_3, \dots$ to infinity where $a_1 = 81.33$ and $a_2 = -19$, and $a_j = a_{j-1} - a_{j-2}$ for $j \geq 3$. What is the sum of the first $6002$ terms of this sequence? $-100.33$ $-30.00$ $62.33$ $119.33$
Consider the sequence of the numbers $a_1, a_2, a_3, \dots$ to infinity where $a_1 = 81.33$ and $a_2 = -19$, and $a_j = a_{j-1} - a_{j-2}$ for $j \geq 3$. What is the sum...
0 votes
0 answers
1346
CAT 2004 | Question: 60
On a semicircle with diameter AD; chord BC is parallel to the diameter. Further, each of the chords AB and CD has length $2,$ while has length $8.$ What is the length of BC? $7.5$ $7$ $7.75$ None of the above
On a semicircle with diameter AD; chord BC is parallel to the diameter. Further, each of the chords AB and CD has length $2,$ while has length $8.$ What is the length of ...
0 votes
0 answers
1347
CAT 2004 | Question: 59
In the adjoining figure, chord $\text{ED}$ is parallel to the diameter $\text{AC}$ of the circle. If $\angle \text{CBE} = 65^{\circ}$ then what is the value of $\angle \text{DEC}?$ $35^{\circ}$ $55^{\circ}$ $45^{\circ}$ $25^{\circ}$
In the adjoining figure, chord $\text{ED}$ is parallel to the diameter $\text{AC}$ of the circle. If $\angle \text{CBE} = 65^{\circ}$ then what is the value of $\angle \t...
0 votes
1 answer
1352
CAT 2004 | Question: 52
Two boats, travelling at $5$ and $10$ kms per hour, head directly towards each other. They begin at a distance of $20$ kms from each other. How far apart are they (in kms) one minute before they collide? $1/12$ $1/6$ $1/4$ $1/3$
Two boats, travelling at $5$ and $10$ kms per hour, head directly towards each other. They begin at a distance of $20$ kms from each other. How far apart are they (in kms...
0 votes
0 answers
1353
CAT 2004 | Question: 51
Let $f(x) = ax^2 - b |x|$, where $a$ and $b$ are constants. Then at $x=0, f(x)$ is, maximized whenever $a>0, b>0$ maximized whenever $a>0, b<0$ minimized whenever $a>0, b>0$ minimized whenever $a>0, b<0$
Let $f(x) = ax^2 - b |x|$, where $a$ and $b$ are constants. Then at $x=0, f(x)$ is, maximized whenever $a>0, b>0$maximized whenever $a>0, b<0$minimized whenever $a>0, b>0...
1 votes
1 answer
1354
CAT 2004 | Question: 50
Let $y=\dfrac{1}{2+ \dfrac{1}{3+ \dfrac{1}{2+ \dfrac{1}{3+ \dots } } } }$ what is the value of $y?$ $\frac{\sqrt{13} +3} {2}$ $\frac{\sqrt{13} -3} {2}$ $\frac{\sqrt{15} +3} {2}$ $\frac{\sqrt{15} -3} {2}$
Let $y=\dfrac{1}{2+ \dfrac{1}{3+ \dfrac{1}{2+ \dfrac{1}{3+ \dots } } } }$ what is the value of $y?$$\frac{\sqrt{13} +3} {2}$$\frac{\sqrt{13} -3} {2}$$\frac{\sqrt{15} +3} ...
0 votes
1 answer
1355
CAT 2004 | Question: 49
If $\frac{a}{a+b} = \frac{b}{c+a} = \frac{c}{a+b} = r$, then $r$ cannot take any value except $1/2$ $-1$ $1/2$ or $-1$ -$1/2$ or $-1$
If $\frac{a}{a+b} = \frac{b}{c+a} = \frac{c}{a+b} = r$, then $r$ cannot take any value except$1/2$$-1$$1/2$ or $-1$-$1/2$ or $-1$
0 votes
1 answer
1356
CAT 2004 | Question: 48
Suppose $n$ is an integer such that the sum of the digits of $n$ is $2,$ and $10^{10} < n < 10^{11}$. The number of different values for $n$ is $11$ $10$ $9$ $8$
Suppose $n$ is an integer such that the sum of the digits of $n$ is $2,$ and $10^{10} < n < 10^{11}$. The number of different values for $n$ is$11$$10$$9$$8$
0 votes
1 answer
1357
CAT 2004 | Question: 47
If $f(x) = x^3 - 4x + p$, and $f(0)$ and $f(1)$ are of opposite signs, then which of the following is necessarily true? $-1 < p < 2$ $0 < p < 3$ $-2 < p < 1$ $-3 < p < 0$
If $f(x) = x^3 - 4x + p$, and $f(0)$ and $f(1)$ are of opposite signs, then which of the following is necessarily true?$-1 < p < 2$$0 < p < 3$$-2 < p < 1$$-3 < p < 0$
0 votes
1 answer
1358
CAT 2004 | Question: 46
The total number of integer pairs $(x,y)$ satisfying the equation $x+y=xy$ is $0$ $1$ $2$ None of these
The total number of integer pairs $(x,y)$ satisfying the equation $x+y=xy$ is$0$$1$$2$None of these
Page: