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Recent questions tagged quantitative-aptitude

0 votes
1 answer
1403
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
1405
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$$35$
0 votes
0 answers
1406
CAT 2006 | Question: 75
An equilateral triangle $\text{BP}$ is drawn inside a square $\text{ABCD}.$ What is the value of the angle $\text{APD}$ in degrees? $75$ $90$ $120$ $135$ $150$
An equilateral triangle $\text{BP}$ is drawn inside a square $\text{ABCD}.$ What is the value of the angle $\text{APD}$ in degrees?$75$$90$$120$$135$$150$
1 votes
1 answer
1407
CAT 2006 | Question: 74
If $\log_y x = a \cdot \log_z y = b \cdot \log_x z = ab$ then which of the following pairs of values for $(a,b)$ is not possible? $-2, 1/2$ $1,1$ $0.4, 2.5$ $\pi, 1/\pi$ $2,2$
If $\log_y x = a \cdot \log_z y = b \cdot \log_x z = ab$ then which of the following pairs of values for $(a,b)$ is not possible?$-2, 1/2$$1,1$$0.4, 2.5$$\pi, 1/\pi$$2,2...
0 votes
1 answer
1408
CAT 2006 | Question: 73
The number of employees in Obelix Menhor Co. is a prime number and is less than $300.$ The ratio of the number of employees who are graduates and above, to that of employees who are not, possibly be $101:88$ $87:100$ $110:111$ $85:98$ $97:84$
The number of employees in Obelix Menhor Co. is a prime number and is less than $300.$ The ratio of the number of employees who are graduates and above, to that of employ...
0 votes
1 answer
1411
CAT 2006 | Question: 70
When you reverse the digits of the number $13,$ the number increases by $18.$ How many other two digit numbers increase by $18$ when their digits are reversed? $5$ $6$ $7$ $8$ $10$
When you reverse the digits of the number $13,$ the number increases by $18.$ How many other two digit numbers increase by $18$ when their digits are reversed?$5$$6$$7$$8...
0 votes
1 answer
1414
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
1415
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$$-8 \leq x \leq 8$
0 votes
0 answers
1417
CAT 2006 | Question: 62
Consider the set $\text{S} = \{1, 2, 3, \dots, 1000\}.$ How many arithmetic progressions can be formed from the elements of $\text{S}$ that start with $1$ and with $1000$ and have at least $3$ elements? $3$ $4$ $6$ $7$ $8$
Consider the set $\text{S} = \{1, 2, 3, \dots, 1000\}.$ How many arithmetic progressions can be formed from the elements of $\text{S}$ that start with $1$ and with $1000$...
1 votes
0 answers
1418
CAT 2006 | Question: 61
The graph $y-x$ against $y +x$ is as shown as below. (all graphs in this question are drawn to scale and the same scale has been used on each axis). Then, Which of the options given shows the graph of $y$ against $x.$
The graph $y-x$ against $y +x$ is as shown as below. (all graphs in this question are drawn to scale and the same scale has been used oneach axis). Then, Which of the opt...
0 votes
1 answer
1419
CAT 2006 | Question: 60
The sum of four consecutive two digit odd numbers, when divided by $10,$ becomes a perfect square. Which of the following can possibly be one of these four numbers? $21$ $25$ $41$ $67$ $73$
The sum of four consecutive two digit odd numbers, when divided by $10,$ becomes a perfect square. Which of the following can possibly be one of these four numbers?$21$$2...
0 votes
1 answer
1421
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
1422
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$$...
0 votes
1 answer
1423
CAT 2006 | Question: 56
A group of $630$ children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. What numbers of rows is not possible? $3$ $4$ $5$ $6$ $7$
A group of $630$ children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. What numbers of rows is ...
0 votes
1 answer
1424
CAT 2006 | Question: 55
Consider the sequence where the $n^{\text{th}}$ term $t_n = \frac{n}{n+2}, n=1, 2, \dots.$ The value of $t_3 \times t_4 \times t_5 \times \dots \times t_{53}$ equals: $2/495$ $2/477$ $12/55$ $1/1485$ $1/2970$
Consider the sequence where the $n^{\text{th}}$ term $t_n = \frac{n}{n+2}, n=1, 2, \dots.$ The value of $t_3 \times t_4 \times t_5 \times \dots \times t_{53}$ equals:$2/4...
0 votes
2 answers
1426
CAT 2006 | Question: 53
If $a/b=1/3, b/c=2, c/d=1/2, d/e=3$ and $e/f=1/4$ then what is the value of $abc/def?$ $3/8$ $27/8$ $3/4$ $27/4$ $1/4$
If $a/b=1/3, b/c=2, c/d=1/2, d/e=3$ and $e/f=1/4$ then what is the value of $abc/def?$$3/8$$27/8$$3/4$$27/4$$1/4$
0 votes
1 answer
1427
CAT 2006 | Question: 52
Which among $2^{\frac{1}{2}} , 3^{\frac{1}{3}}, 4^{\frac{1}{4}}, 6^{\frac{1}{6}} \text{ and } 12^{\frac{1}{12}}$ is the largest? $2^{\frac{1}{2}}$ $3^{\frac{1}{3}}$ $4^{\frac{1}{4}}$ $6^{\frac{1}{6}}$ $12^{\frac{1}{12}}$
Which among $2^{\frac{1}{2}} , 3^{\frac{1}{3}}, 4^{\frac{1}{4}}, 6^{\frac{1}{6}} \text{ and } 12^{\frac{1}{12}}$ is the largest?$2^{\frac{1}{2}}$$3^{\frac{1}{3}}$$4^{\fra...
0 votes
1 answer
1428
CAT 2006 | Question: 51
If $x=-0.5$ then which of the following has the smallest value? $2^{\frac{1}{x}}$ $\frac{1}{x}$ $\frac{1}{x^2}$ $2^x$ $\frac{1}{\sqrt{-x}}$
If $x=-0.5$ then which of the following has the smallest value?$2^{\frac{1}{x}}$$\frac{1}{x}$$\frac{1}{x^2}$$2^x$$\frac{1}{\sqrt{-x}}$
0 votes
2 answers
1429
profit and loss
A sells B a diamond at a profit of 30%. B sells it to C at a loss of 20%. What profit did A earn if C paid Rs.1040 for the diamond? (a) Rs.410 (b) Rs.200 (c) Rs.400 (d) Rs.140
A sells B a diamond at a profit of 30%. B sells it to C at a loss of 20%. What profit did A earn if C paid Rs.1040 for the diamond?(a) Rs.410 (b) Rs.200(c) Rs.400 (d) R...
2 votes
1 answer
1432
CAT 2007 | Question: 25
A function $f(x) $ satisfies $f(1)=3600$ and $f(1)+f(2)+ \dots + f(n) = n^2 f(n)$, for all positive integers $n>1.$ What is the value of $f(9)?$ $80$ $240$ $200$ $100$ $120$
A function $f(x) $ satisfies $f(1)=3600$ and $f(1)+f(2)+ \dots + f(n) = n^2 f(n)$, for all positive integers $n>1.$ What is the value of $f(9)?$$80$$240$$200$$100$$120$
3 votes
2 answers
1436
CAT 2007 | Question: 21
How many pairs of positive integers, $m, n$ satisfy $1/m +4/n=1/12$ where $n$ is an odd integer less than $60?$ $6$ $4$ $7$ $5$ $3$
How many pairs of positive integers, $m, n$ satisfy $1/m +4/n=1/12$ where $n$ is an odd integer less than $60?$$6$$4$$7$$5$$3$
1 votes
1 answer
1437
CAT 2007 | Question: 20
Suppose you have a currency, named Miso, in three denominations. $1$ Miso, $10$ Misos and $50$ Misos. In how many ways you can pay a bill of $107$ Misos? $17$ $16$ $18$ $15$ $19$
Suppose you have a currency, named Miso, in three denominations. $1$ Miso, $10$ Misos and $50$ Misos. In how many ways you can pay a bill of $107$ Misos?$17$$16$$18$$15$$...
0 votes
1 answer
1440
CAT 2007 | Question: 11
In a tournament, there are $n$ teams $T_1, T_2 ......., T$ with $n > 5$. Each team consists of $k$ players, $k>3$ ... in the tournament, considering all the $n$ teams together? $n(k-1)$ $k(n-1)$ $n(k-2)$ $k(k-2)$ $(n-1) (k-1)$
In a tournament, there are $n$ teams $T_1, T_2 ......., T$ with $n 5$. Each team consists of $k$ players, $k>3$. The following pairs of teams have one player in common:$...
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