Register
Filter

Recent questions in Quantitative Aptitude

0 votes
0 answers
1723
CAT 2003 | Question: 1-106
When the curves, $y=\log_{10} x$ and $y=x^{-1}$ are drawn in the $x-y$ plane, how many times do they intersect for values $x \geq 1?$ Never Once Twice More than twice
When the curves, $y=\log_{10} x$ and $y=x^{-1}$ are drawn in the $x-y$ plane, how many times do they intersect for values $x \geq 1?$NeverOnceTwiceMore than twice
0 votes
2 answers
1724
CAT 2003 | Question: 1-105
The number of non-negative real roots of $2^x - x - 1 =0$ equals _______ $0$ $1$ $2$ $3$
The number of non-negative real roots of $2^x - x - 1 =0$ equals _______$0$$1$$2$$3$
0 votes
1 answer
1728
CAT 2014 | Question: 50
A quadratic function $ƒ(x)$ attains a maximum of $3$ at $x = 1$. The value of the function at $x = 0$ is $1$. What is the value $ƒ(x)$ at $x = 10$? $–119$ $–159$ $–110$ $–180$
A quadratic function $ƒ(x)$ attains a maximum of $3$ at $x = 1$. The value of the function at $x = 0$ is $1$. What is the value $ƒ(x)$ at $x = 10$? $–119$ $–159$ $�...
0 votes
1 answer
1731
CAT 2014 | Question: 47
Consider four-digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares? $3$ $2$ $4$ $1$
Consider four-digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares? $3$ $2$ $4$ $1$
0 votes
2 answers
1732
CAT 2014 | Question: 46
Suppose you have a currency, named Rubble, in three denominations: $1$ Rubble, $10$ Rubbles and $50$ Rubbles. In how many ways can you pay a bill of $95$ Rubbles? $15$ $16$ $18$ $19$
Suppose you have a currency, named Rubble, in three denominations: $1$ Rubble, $10$ Rubbles and $50$ Rubbles. In how many ways can you pay a bill of $95$ Rubbles? $15$ $1...
0 votes
1 answer
1733
CAT 2014 | Question: 45
Let $a_{n+1}= 2 a_{n}+1 ({n}=0, 1, 2,\dots)$ and $a_{0}=0$. Then $a_{10}$ nearest to. $1023$ $2047$ $4095$ $8195$
Let $a_{n+1}= 2 a_{n}+1 ({n}=0, 1, 2,\dots)$ and $a_{0}=0$. Then $a_{10}$ nearest to.$1023$$2047$$4095$$8195$
0 votes
1 answer
1734
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
1735
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
1736
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
1737
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
1739
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
1740
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
1741
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
1742
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
1743
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...
0 votes
0 answers
1745
CAT 2004 | Question: 85
Identify the incorrect sentence or sentences Last Sunday, Archana had nothing to do. After waking up, she lay on bed thinking what to do. At $11$'o clock she took shower and got ready. She spent most of the day shopping B and C C A and B B, C, and D
Identify the incorrect sentence or sentencesLast Sunday, Archana had nothing to do.After waking up, she lay on bed thinking what to do.At $11$'o clock she took shower and...
1 votes
1 answer
1746
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
1749
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
1752
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$$4...
0 votes
0 answers
1753
CAT 2014 | Question: 2
Instead of a metre scale, a cloth merchant uses a $120$ cm scale while buying, but uses an $80$ cm scale while selling the same cloth. What is his overall profit percentage? $50\%$ $25\%$ $40\%$ $15\%$
Instead of a metre scale, a cloth merchant uses a $120$ cm scale while buying, but uses an $80$ cm scale while selling the same cloth. What is his overall profit percenta...
0 votes
0 answers
1754
CAT 2014 | Question: 1
If $\text{ABCD}$ is a square and $\text{BCE}$ is an equilateral triangle, what is the measure of angle $\angle \text{DEC}?$ $15^{\circ}$ $30^{\circ}$ $20^{\circ}$ $45^{\circ}$
If $\text{ABCD}$ is a square and $\text{BCE}$ is an equilateral triangle, what is the measure of angle $\angle \text{DEC}?$ $15^{\circ}$$30^{\circ}$$20^{\circ}$$45^{\circ...
0 votes
1 answer
1755
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
1756
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
1757
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...
Page: