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Recent questions tagged quantitative-aptitude

2 votes
1 answer
403
CAT 2018 Set-1 | Question: 93
If $f(x+2)=f(x)+f(x+1)$ for all positive integers $x$, and $f(11)=91,f(15)=617$, then $f(10)$ equals ________
If $f(x+2)=f(x)+f(x+1)$ for all positive integers $x$, and $f(11)=91,f(15)=617$, then $f(10)$ equals ________
2 votes
1 answer
404
CAT 2018 Set-1 | Question: 92
The number of integers $x$ such that $0.25 < 2^x < 200$, and $2^x +2$ is perfectly divisible by either $3$ or $4$, is _______
The number of integers $x$ such that $0.25 < 2^x < 200$, and $2^x +2$ is perfectly divisible by either $3$ or $4$, is _______
2 votes
1 answer
405
CAT 2018 Set-1 | Question: 91
How many numbers with two or more digits can be formed with the digits $1,2,3,4,5,6,7,8,9$, so that in every such number, each digit is used at most once and the digits appear in the ascending order?
How many numbers with two or more digits can be formed with the digits $1,2,3,4,5,6,7,8,9$, so that in every such number, each digit is used at most once and the digits a...
2 votes
1 answer
410
CAT 2018 Set-1 | Question: 97
Let $f(x) = \text{min }\{2x^2, 52−5x\}$, where $x$ is any positive real number. Then the maximum possible value of $f(x)$ is ________
Let $f(x) = \text{min }\{2x^2, 52−5x\}$, where $x$ is any positive real number. Then the maximum possible value of $f(x)$ is ________
1 votes
1 answer
418
CAT 2017 Set-2 | Question: 71
Out of the shirts produced in a factory, $15\%$ are defective, while $20\%$ of the rest are sold in the domestic market. If the remaining $8840$ shirts are left for export, then the number of shirts produced in the factory is $13600$ $13000$ $13400$ $14000$
Out of the shirts produced in a factory, $15\%$ are defective, while $20\%$ of the rest are sold in the domestic market. If the remaining $8840$ shirts are left for expor...
1 votes
1 answer
423
CAT 2017 Set-2 | Question: 75
Mayank buys some candies for Rs $15$ a dozen and an equal number of different candies for Rs $12$ a dozen. He sells all for Rs $16.50$ a dozen and makes a profit of Rs $150$. How many dozens of candies did he buy altogether? $50$ $30$ $25$ $45$
Mayank buys some candies for Rs $15$ a dozen and an equal number of different candies for Rs $12$ a dozen. He sells all for Rs $16.50$ a dozen and makes a profit of Rs $1...
1 votes
1 answer
424
CAT 2017 Set-2 | Question: 77
If $a, b, c$ are three positive integers such that $a$ and $b$ are in the ratio $3:4$ while $b$ and $c$ are in the ratio $2:1$, then which one of the following is a possible value of $(a + b+c)$? $201$ $205$ $207$ $210$
If $a, b, c$ are three positive integers such that $a$ and $b$ are in the ratio $3:4$ while $b$ and $c$ are in the ratio $2:1$, then which one of the following is a possi...
1 votes
1 answer
425
CAT 2017 Set-2 | Question: 84
$\text{ABCD}$ is a quadrilateral inscribed in a circle with centre $\text{O}$. If $\angle \text{COD} =120$ degrees and $\angle \text{BAC} = 30$ degrees, then the value of $\angle \text{BCD}$ (in degrees) is $89$ $87$ $86$ $90$
$\text{ABCD}$ is a quadrilateral inscribed in a circle with centre $\text{O}$. If $\angle \text{COD} =120$ degrees and $\angle \text{BAC} = 30$ degrees, then the value of...
1 votes
1 answer
426
CAT 2017 Set-2 | Question: 83
The points $\left ( 2,5 \right )$ and $\left ( 6,3 \right )$ are two end points of a diagonal of a rectangle. If the other diagonal has the equation $y=3x+c$, then $c$ is $-5$ $-6$ $-7$ $-8$
The points $\left ( 2,5 \right )$ and $\left ( 6,3 \right )$ are two end points of a diagonal of a rectangle. If the other diagonal has the equation $y=3x+c$, then $c$ is...
2 votes
1 answer
428
CAT 2017 Set-2 | Question: 81
Let $\text{ABCDEF}$ be a regular hexagon with each side of length $1$ cm. The area (in sq cm) of a square with $\text{AC}$ as one side is $3\sqrt{2}$ $3$ $4$ $\sqrt{3}$
Let $\text{ABCDEF}$ be a regular hexagon with each side of length $1$ cm. The area (in sq cm) of a square with $\text{AC}$ as one side is $3\sqrt{2}$$3$$4$$\sqrt{3}$
1 votes
1 answer
430
CAT 2017 Set-2 | Question: 89
Let $f\left ( x \right )=x^{2}$ and $g\left ( x \right )=2^{x}$, for all real $x$. Then the value of $ f \left ( f\left ( g\left ( x \right ) \right )+g\left( f\left ( x \right ) \right ) \right)$ at $x=1$ is $16$ $18$ $36$ $40$
Let $f\left ( x \right )=x^{2}$ and $g\left ( x \right )=2^{x}$, for all real $x$. Then the value of $ f \left ( f\left ( g\left ( x \right ) \right )+g\left( f\left ( x...
1 votes
1 answer
431
CAT 2017 Set-2 | Question: 88
If $x$ is a real number such that $\log_{3}5=\log_{5}\left ( 2+x \right )$, then which of the following is true? $0<x<3$ $23<x<30$ $x>30$ $3<x<23$
If $x$ is a real number such that $\log_{3}5=\log_{5}\left ( 2+x \right )$, then which of the following is true?$0<x<3$$23<x<30$$x>30$$3<x<23$
1 votes
1 answer
433
CAT 2017 Set-2 | Question: 87
If the product of three consecutive positive integers is $15600$ then the sum of the squares of these integers is $1777$ $1785$ $1875$ $1877$
If the product of three consecutive positive integers is $15600$ then the sum of the squares of these integers is $1777$$1785$$1875$$1877$
1 votes
1 answer
434
CAT 2017 Set-2 | Question: 85
If three sides of a rectangular park have a total length $400$ ft, then the area of the park is maximum when the length (in ft) of its longer side is $299$ $200$ $201$ $399$
If three sides of a rectangular park have a total length $400$ ft, then the area of the park is maximum when the length (in ft) of its longer side is$299$$200$$201$$399$
1 votes
1 answer
435
CAT 2017 Set-2 | Question: 94
How many different pairs $(a,b)$ of positive integers are there such that $a\leq b$ and $1/a+1/b=1/9$ None of these $2$ $0$ $1$
How many different pairs $(a,b)$ of positive integers are there such that $a\leq b$ and $1/a+1/b=1/9$None of these$2$$0$$1$
1 votes
1 answer
437
CAT 2017 Set-2 | Question: 93
Let $a_{1},a_{2},a_{3},a_{4},a_{5}$ be a sequence of five consecutive odd numbers. Consider a new sequence of five consecutive even numbers ending with $2a_{3}$. If the sum of the numbers in the new sequence is $450$, then $a_{5}$ is $50$ $51$ $52$ $49$
Let $a_{1},a_{2},a_{3},a_{4},a_{5}$ be a sequence of five consecutive odd numbers. Consider a new sequence of five consecutive even numbers ending with $2a_{3}$. If the s...
2 votes
2 answers
438
CAT 2017 Set-2 | Question: 91
If $9^{\left ( x-1/2 \right )}-2^{\left ( 2x-2 \right )}=4^{x}-3^{\left (2x-3 \right )}$, then $x$ is $3/2$ $2/5$ $3/4$ $4/9$
If $9^{\left ( x-1/2 \right )}-2^{\left ( 2x-2 \right )}=4^{x}-3^{\left (2x-3 \right )}$, then $x$ is$3/2$$2/5$$3/4$$4/9$
1 votes
1 answer
439
CAT 2017 Set-2 | Question: 90
The minimum possible value of the sum of the squares of the roots of the equation $x^{2}+\left ( a+3 \right )x-\left ( a+5 \right )=0$ is $1$ $2$ $3$ $4$
The minimum possible value of the sum of the squares of the roots of the equation $x^{2}+\left ( a+3 \right )x-\left ( a+5 \right )=0$ is$1$$2$$3$$4$
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