Register
Filter

Recent questions in Quantitative Aptitude

0 votes
0 answers
1802
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$$20$
0 votes
1 answer
1804
CAT 2005 | Question: 19
For a positive integer $n$, let $\text{P}_n$ denote product of the digits of $n$ and $\text{S}_n$ denote the sum of the digits of $n$ The number of integers between $10$ and $1000$ for which $\text{P}_n + \text{S}_n = n$ is $81$ $16$ $18$ $9$
For a positive integer $n$, let $\text{P}_n$ denote product of the digits of $n$ and $\text{S}_n$ denote the sum of the digits of $n$ The number of integers between $10$ ...
0 votes
0 answers
1805
CAT 2005 | Question: 18
If $x \geq y$ and $y > 1$ then the value of the expression $\log_x\left(\frac{x}{y}\right) + \log_y\left(\frac{y}{x}\right)$ can never be $-1$ $-0.5$ $0$ $1$
If $x \geq y$ and $y 1$ then the value of the expression $\log_x\left(\frac{x}{y}\right) + \log_y\left(\frac{y}{x}\right)$ can never be$-1$$-0.5$$0$$1$
1 votes
1 answer
1807
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$$9$
0 votes
0 answers
1809
CAT 2005 | Question: 14
If $a_1 =1$ and $a_{n+1}-3a_n +2 = 4n$ for every positive integer n then $a_{100}$ equals $3^{99} - 200$ $3^{99} + 200$ $3^{100} - 200$ $3^{100} + 200$
If $a_1 =1$ and $a_{n+1}-3a_n +2 = 4n$ for every positive integer n then $a_{100}$ equals$3^{99} - 200$$3^{99} + 200$$3^{100} - 200$$3^{100} + 200$
0 votes
0 answers
1811
CAT 2005 | Question: 13
0 votes
0 answers
1813
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
1814
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
1815
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$$4$ or $28$
0 votes
1 answer
1816
CAT 2005 | Question: 08
If $\text{R} = \dfrac{30^{65} – 29^{65}}{30^{64} + 29^{64}}$ then $0 < \text{R} \leq 0.1$ $0.1 < \text{R} \leq 0.5$ $0.5 < \text{R} \leq 1.0$ $\text{R} > 1.0$
If $\text{R} = \dfrac{30^{65} – 29^{65}}{30^{64} + 29^{64}}$ then$0 < \text{R} \leq 0.1$$0.1 < \text{R} \leq 0.5$$0.5 < \text{R} \leq 1.0$$\text{R} 1.0$
0 votes
1 answer
1820
CAT 2005 | Question: 03
Two identical circles intersect so that their centres, and the points at which they intersect, form a square of side $1$ cm. The area in sq. cm of the portion that is common to the two circles is $\pi / 4$ $\frac{\pi}{2} – 1$ $\frac{\pi}{5}$ $\sqrt{2} – 1$
Two identical circles intersect so that their centres, and the points at which they intersect, form a square of side $1$ cm. The area in sq. cm of the portion that is com...
1 votes
1 answer
1822
CAT 2005 | Question: 01
If $x=(16^3 +17^3 + 18^3 + 19^3)$ then $x$ divided by $70$ leaves a remainder of $0$ $1$ $69$ $35$
If $x=(16^3 +17^3 + 18^3 + 19^3)$ then $x$ divided by $70$ leaves a remainder of $0$$1$$69$$35$
0 votes
0 answers
1823
CAT 2006 | Question: 75
An equilateral triangle $\text{BP}$ is drawn inside a square $\text{ABCD}.$ What is the value of the angle $\text{APD}$ in degrees? $75$ $90$ $120$ $135$ $150$
An equilateral triangle $\text{BP}$ is drawn inside a square $\text{ABCD}.$ What is the value of the angle $\text{APD}$ in degrees?$75$$90$$120$$135$$150$
1 votes
1 answer
1824
CAT 2006 | Question: 74
If $\log_y x = a \cdot \log_z y = b \cdot \log_x z = ab$ then which of the following pairs of values for $(a,b)$ is not possible? $-2, 1/2$ $1,1$ $0.4, 2.5$ $\pi, 1/\pi$ $2,2$
If $\log_y x = a \cdot \log_z y = b \cdot \log_x z = ab$ then which of the following pairs of values for $(a,b)$ is not possible?$-2, 1/2$$1,1$$0.4, 2.5$$\pi, 1/\pi$$2,2...
0 votes
1 answer
1825
CAT 2006 | Question: 73
The number of employees in Obelix Menhor Co. is a prime number and is less than $300.$ The ratio of the number of employees who are graduates and above, to that of employees who are not, possibly be $101:88$ $87:100$ $110:111$ $85:98$ $97:84$
The number of employees in Obelix Menhor Co. is a prime number and is less than $300.$ The ratio of the number of employees who are graduates and above, to that of employ...
0 votes
1 answer
1828
CAT 2006 | Question: 70
When you reverse the digits of the number $13,$ the number increases by $18.$ How many other two digit numbers increase by $18$ when their digits are reversed? $5$ $6$ $7$ $8$ $10$
When you reverse the digits of the number $13,$ the number increases by $18.$ How many other two digit numbers increase by $18$ when their digits are reversed?$5$$6$$7$$8...
0 votes
1 answer
1831
CAT 2006 | Question: 66
Let $f(x) = \max (2x +1, 3 – 4x)$ where $x$ is any real number. Then the minimum possible value of $f(x)$ is: $1/3$ $1/2$ $2/3$ $4/3$ $5/3$
Let $f(x) = \max (2x +1, 3 – 4x)$ where $x$ is any real number. Then the minimum possible value of $f(x)$ is:$1/3$$1/2$$2/3$$4/3$$5/3$
0 votes
1 answer
1832
CAT 2006 | Question: 65
What values of $x$ satisfy $x^{\frac{2}{3}} + x^{\frac{1}{3}} - 2 \leq 0?$ $-8 \leq x \leq 1$ $-1 \leq x \leq 8$ $1 < x < 8$ $1 \leq x \leq 8$ $-8 \leq x \leq 8$
What values of $x$ satisfy $x^{\frac{2}{3}} + x^{\frac{1}{3}} - 2 \leq 0?$$-8 \leq x \leq 1$$-1 \leq x \leq 8$$1 < x < 8$$1 \leq x \leq 8$$-8 \leq x \leq 8$
0 votes
0 answers
1834
CAT 2006 | Question: 62
Consider the set $\text{S} = \{1, 2, 3, \dots, 1000\}.$ How many arithmetic progressions can be formed from the elements of $\text{S}$ that start with $1$ and with $1000$ and have at least $3$ elements? $3$ $4$ $6$ $7$ $8$
Consider the set $\text{S} = \{1, 2, 3, \dots, 1000\}.$ How many arithmetic progressions can be formed from the elements of $\text{S}$ that start with $1$ and with $1000$...
2 votes
0 answers
1835
CAT 2006 | Question: 61
The graph $y-x$ against $y +x$ is as shown as below. (all graphs in this question are drawn to scale and the same scale has been used on each axis). Then, Which of the options given shows the graph of $y$ against $x?$
The graph $y-x$ against $y +x$ is as shown as below. (all graphs in this question are drawn to scale and the same scale has been used on each axis).Then, Which of the opt...
0 votes
1 answer
1836
CAT 2006 | Question: 60
The sum of four consecutive two digit odd numbers, when divided by $10,$ becomes a perfect square. Which of the following can possibly be one of these four numbers? $21$ $25$ $41$ $67$ $73$
The sum of four consecutive two digit odd numbers, when divided by $10,$ becomes a perfect square. Which of the following can possibly be one of these four numbers?$21$$2...
0 votes
1 answer
1838
CAT 2006 | Question: 58
The number of solutions of the equation $2x+y=40$ where both $x$ and $y$ are positive integers and $x \leq y$ is: $7$ $13$ $14$ $18$ $20$
The number of solutions of the equation $2x+y=40$ where both $x$ and $y$ are positive integers and $x \leq y$ is:$7$$13$$14$$18$$20$
0 votes
0 answers
1839
CAT 2006 | Question: 57
What are the values of $x$ and $y$ that satisfy both the equations? $2^{0.7x} \cdot 3^{-1.25y} = 8\sqrt{6} / 27$ $4^{0.3x} \cdot 9^{0.2y} = 8.(81)^{\frac{1}{5}}$ $x=2, y=5$ $x=2.5, y=6$ $x=3, y=5$ $x=3, y=4$ $x=5, y=2$
What are the values of $x$ and $y$ that satisfy both the equations?$2^{0.7x} \cdot 3^{-1.25y} = 8\sqrt{6} / 27$$4^{0.3x} \cdot 9^{0.2y} = 8.(81)^{\frac{1}{5}}$$x=2, y=5$$...
0 votes
1 answer
1840
CAT 2006 | Question: 56
A group of $630$ children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. What numbers of rows is not possible? $3$ $4$ $5$ $6$ $7$
A group of $630$ children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. What numbers of rows is ...
Page: