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Recent questions tagged quantitative-aptitude
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votes
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answer
1441
CAT 2007 | Question: 10
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? $3$ $2$ $4$ $0$ $1$
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$$0$$1$
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13.9k
points
1.5k
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asked
Dec 6, 2015
Quantitative Aptitude
cat2007
quantitative-aptitude
number-systems
+
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1
votes
0
answers
1442
CAT 2007 | Question: 08
Directions for the below question. Cities A and B are in different time zones. A is located $3000$ km east of B. The table below describes the schedule of an airline operating non-stop flights between A and B. All the times indicated are local and on the same ... difference between A and B? $1$ hour $30$ minutes $2$ hours $2$ hours $30$ minutes $1$ hour cannot be determined
Directions for the below question.Cities A and B are in different time zones. A is located $3000$ km east of B. The table below describes the schedule of an airline opera...
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13.9k
points
801
views
go_editor
asked
Dec 6, 2015
Quantitative Aptitude
cat2007
quantitative-aptitude
speed-distance-time
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0
votes
0
answers
1443
CAT 2007 | Question: 06
Directions for below question: Shabnam is considering three alternatives to invest her surplus cash for a week. She wishes to guarantee maximum returns on her investment. She has three options, each of which can be utilized fully or partially in conjunction with others. Option A: Invest in a ... guaranteed return to Shabnam is $0.25\%$ $0.10\%$ $0.20\%$ $0.15\%$ $0.30\%$
Directions for below question:Shabnam is considering three alternatives to invest her surplus cash for a week. She wishes to guarantee maximum returns on her investment. ...
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13.9k
points
899
views
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asked
Dec 6, 2015
Quantitative Aptitude
cat2007
quantitative-aptitude
percentage
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0
votes
1
answer
1444
CAT 2007 | Question: 04
Directions for the below question: Let $S$ be the set of all pairs $(i, j)$ where $ 1 \leq i \leq j < n$ and $n \geq 4$. Any two distinct number of $S$ are called friends' if they have one constituent of the pairs in common and enemies' otherwise. For example, if $n=4$ ... $2n-7$ $\frac{1}{2} (n^2 - 5n +6)$ $\frac{1}{2} (n^2 - 7n + 14)$
Directions for the below question:Let $S$ be the set of all pairs $(i, j)$ where $ 1 \leq i \leq j < n$ and $n \geq 4$. Any two distinct number of $S$ are called ‘frien...
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13.9k
points
780
views
go_editor
asked
Dec 6, 2015
Quantitative Aptitude
cat2007
quantitative-aptitude
sequences&series
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–
0
votes
0
answers
1445
CAT 2007 | Question: 03
Two circles with centres $\text{P}$ and $\text{Q}$ cut each other at two distinct points $\text{A}$ and $\text{B}.$ The circles have the same radii and neither $\text{P}$ nor $\text{Q}$ falls within the intersection of the circles. What is the smallest range that ... Between $0$ and $90$ Between $0$ and $30$ Between $0$ and $60$ Between $0$ and $75$ Between $0$ and $45$
Two circles with centres $\text{P}$ and $\text{Q}$ cut each other at two distinct points $\text{A}$ and $\text{B}.$ The circles have the same radii and neither $\text{P}$...
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13.9k
points
389
views
go_editor
asked
Dec 6, 2015
Quantitative Aptitude
cat2007
quantitative-aptitude
geometry
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2
votes
1
answer
1446
CAT 2007 | Question: 02
A quadratic function f(x) attains a maximum of $3$ at $x=1.$ The value of the function at $x=0$ is $1.$ What is the value of $f(x)$ at $x=10?$ $-119$ $-159$ $-110$ $-180$ $-105$
A quadratic function f(x) attains a maximum of $3$ at $x=1.$ The value of the function at $x=0$ is $1.$ What is the value of $f(x)$ at $x=10?$$-119$$-159$$-110$$-180$$-10...
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13.9k
points
1.9k
views
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asked
Dec 6, 2015
Quantitative Aptitude
cat2007
quantitative-aptitude
quadratic-equations
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–
1
votes
1
answer
1447
CAT 2007 | Question: 01
The price of Darjeeling tea ( in rupees per kilogram) is $100 + 0.10 n,$ on $n$-th day of $2007\; (n=1, 2, 3, \dots,100),$ and then remains constant. On the other hand, the price of Ooty tea ( in rupees per kilogram) is $89 +0.15 n$ ... On which date in $2007$ will the prices of these two varieties of tea be equal? May $21$ April $11$ May $20$ April $10$ June $30$
The price of Darjeeling tea ( in rupees per kilogram) is $100 + 0.10 n,$ on $n$-th day of $2007\; (n=1, 2, 3, \dots,100),$ and then remains constant. On the other hand, t...
go_editor
13.9k
points
796
views
go_editor
asked
Dec 5, 2015
Quantitative Aptitude
cat2007
quantitative-aptitude
cost-price-selling-price
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–
2
votes
1
answer
1448
CAT 2008 | Question: 25
suppose, the seed of any positive integer $n$ is defined as follows: seed$(n) = n,$ if $n < 10$ $=$seed$(s(n)),$ otherwise where $s(n)$ indicates the sum of digits $n.$ For example, seed$(7)=7,$ seed$(248) =$ seed$(2+4+8) =$ seed$(14) =$ ... $(5) = 5$ etc. How many positive integers $n,$ such that $n <500,$ will have seed$(n) =9?$ $39$ $72$ $81$ $108$ $55$
suppose, the seed of any positive integer $n$ is defined as follows:seed$(n) = n,$ if $n < 10$ $=$seed$(s(n)),$ otherwisewhere $s(n)$ indicates the sum of d...
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13.9k
points
1.0k
views
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asked
Nov 29, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
number-systems
+
–
0
votes
0
answers
1449
CAT 2008 | Question: 24
Rahim plans to Drive from city $\text{A}$ to station $\text{C}$, at the speed of $70$ km per hour, to catch a train arriving there from $\text{B}$. He must reach $\text{C}$ at least $15$ minutes before the arrival of the train. The train leaves $\text{B}$ ... leave $\text{A}$ and still catch the train is closet to $6:15$ am $6:30$ am $6:45$ am $7:00$ am $7:15$ am
Rahim plans to Drive from city $\text{A}$ to station $\text{C}$, at the speed of $70$ km per hour, to catch a train arriving there from $\text{B}$. He must reach $\text{C...
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13.9k
points
626
views
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asked
Nov 29, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
speed-distance-time
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–
0
votes
0
answers
1450
CAT 2008 | Question: 23
Two circles, both of radii $1$ cm, intersect such that the circumference of each one passes through the centre of the other. What is the area (in sq cm) of the intersecting region? $\frac{\pi}{3} - \frac{\sqrt{3}} {4} $ $\frac{2 \pi}{3} + \frac{\sqrt{3}} {2} $ ... $\frac{4 \pi}{3} + \frac{\sqrt{3}} {2} $ $\frac{2 \pi}{3} - \frac{\sqrt{3}} {2} $
Two circles, both of radii $1$ cm, intersect such that the circumference of each one passes through the centre of the other. What is the area (in sq cm) of the intersecti...
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13.9k
points
439
views
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asked
Nov 29, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
geometry
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0
votes
0
answers
1451
CAT 2008 | Question: 20
Three consecutive positive integers are raised to the first, second and third powers respectively and then added. The sum so obtained is a perfect square root equals to the total of the three originals integers. Which of the following best describes the minimum, say m, of these three integers? ... $7 \leq m \leq 9$ $10 \leq m \leq 12$ $13 \leq m \leq 15$
Three consecutive positive integers are raised to the first, second and third powers respectively and then added. The sum so obtained is a perfect square root equals to t...
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13.9k
points
481
views
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asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
number-systems
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–
1
votes
1
answer
1452
CAT 2008 | Question: 19
Consider obtuse-angled triangles with sides $8$ cm, $15$ cm and $x$ cm. If x is an integer, then how many such triangles exist? $5$ $21$ $10$ $15$ $14$
Consider obtuse-angled triangles with sides $8$ cm, $15$ cm and $x$ cm. If x is an integer, then how many such triangles exist?$5$$21$$10$$15$$14$
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13.9k
points
983
views
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asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
geometry
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1
votes
1
answer
1453
CAT 2008 | Question: 18
Consider a square $\text{ABCD}$ with midpoints $\text{E, F, G, H}$ of $\text{AB, BC, CD}$ and $\text{DA}$ respectively. Let $\text{L}$ denote the line passing through $\text{F}$ and $\text{H}.$ Consider points $\text{P}$ and $\text{Q},$ on $\text{L}$ and inside $\text{ABCD},$ ... $2 + \sqrt{3}$ $\frac{10-3 \sqrt{3} } {9} $ $1+ \frac{1}{\sqrt{3} }$ $2 \sqrt{3} -1$
Consider a square $\text{ABCD}$ with midpoints $\text{E, F, G, H}$ of $\text{AB, BC, CD}$ and $\text{DA}$ respectively. Let $\text{L}$ denote the line passing through $\t...
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13.9k
points
3.1k
views
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asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
geometry
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–
0
votes
0
answers
1454
CAT 2008 | Question: 17
The integers $1, 2, \dots, 40$ are written on a blackboard. The following operation is then repeated $39$ times. In each repetition, any two numbers, say a and b, currently on the blackboard are erased and a new number $a+b-1$ is written. What will be the number left on the board at the end? $820$ $821$ $781$ $819$ $780$
The integers $1, 2, \dots, 40$ are written on a blackboard. The following operation is then repeated $39$ times. In each repetition, any two numbers, say a and b, current...
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13.9k
points
429
views
go_editor
asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
number-systems
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–
0
votes
1
answer
1455
CAT 2008 | Question: 14
If the roots of the equation $x^3 -ax^2 +bx - c =0$ are three consecutive integers, then what is the smallest possible value of $b?$ $-\frac{1}{\sqrt{3} }$ $-1$ $0$ $1$ $\frac{1}{\sqrt{3} }$
If the roots of the equation $x^3 -ax^2 +bx - c =0$ are three consecutive integers, then what is the smallest possible value of $b?$$-\frac{1}{\sqrt{3} }$$-1$$0$$1$$\frac...
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13.9k
points
725
views
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asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
cubic-equations
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2
votes
1
answer
1456
CAT 2008 | Question: 13
Let $f(x) $ be a function satisfying $f(x) f(y) =f(xy)$ for all real $x, y$. If $f(2)=4$, then what is the value of $f\left(\frac{1}{2}\right)$ $0$ $\frac{1}{4}$ $\frac{1}{2}$ $1$ cannot be determined
Let $f(x) $ be a function satisfying $f(x) f(y) =f(xy)$ for all real $x, y$. If $f(2)=4$, then what is the value of $f\left(\frac{1}{2}\right)$$0$$\frac{1}{4}$$\frac{1}{2...
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13.9k
points
715
views
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asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
functions
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–
0
votes
2
answers
1457
CAT 2008 | Question: 12
The number of common terms in the two sequences $17, 21, 25,\dots,417$ and $16, 21 26,\dots,466$ is $78$ $19$ $20$ $27$ $22$
The number of common terms in the two sequences $17, 21, 25,\dots,417$ and $16, 21 26,\dots,466$ is$78$$19$$20$$27$$22$
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13.9k
points
1.1k
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Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
sequences&series
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–
2
votes
1
answer
1458
CAT 2008 | Question: 10
Let $f(x) = ax^2 + bx +c$, where $a$, $b$ and $c$ are certain constants and $a \neq 0$. It is known that $f(5) = -3 f(2) $ and that 3 is a root of $f(x)=0$. What is the other root of $f(x)=0?$ $-7$ $-4$ $2$ $6$ cannot be determined
Let $f(x) = ax^2 + bx +c$, where $a$, $b$ and $c$ are certain constants and $a \neq 0$. It is known that $f(5) = -3 f(2) $ and that 3 is a root of $f(x)=0$.What is the ot...
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13.9k
points
895
views
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asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
quadratic-equations
+
–
0
votes
1
answer
1459
CAT 2008 | Question: 09
A shop stores $x$ kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. There after no rice left in the ... $5 \leq x \leq 8$ $9 \leq x \leq 12$ $11 \leq x \leq 14$ $13 \leq x \leq 18$
A shop stores $x$ kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. ...
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13.9k
points
5.7k
views
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asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
cost-price-selling-price
+
–
0
votes
0
answers
1460
CAT 2008 | Question: 08
Find the sum $\sqrt{1+ \frac{1}{1^2} + \frac{1}{2^2} } + \sqrt{1+ \frac{1}{2^2} + \frac{1}{3^2} } + \dots + \sqrt{1+ \frac{1}{2007^2} + \frac{1}{2008^2} }$ $2008 - \frac{1}{2008}$ $2007 - \frac{1}{2007}$ $2007 - \frac{1}{2008}$ $2008 - \frac{1}{2007}$ $2008 - \frac{1}{2009}$
Find the sum $\sqrt{1+ \frac{1}{1^2} + \frac{1}{2^2} } + \sqrt{1+ \frac{1}{2^2} + \frac{1}{3^2} } + \dots + \sqrt{1+ \frac{1}{2007^2} + \frac{1}{2008^2} }$$2008 - \frac{...
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13.9k
points
563
views
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asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
sequences&series
+
–
0
votes
0
answers
1461
CAT 2008 | Question: 07
In a triangle $\text{ABC}$, the lengths of the sides $\text{AB}$ and $\text{AC}$ equal $17.5$ cm and $9$ cm respectively. Let $\text{D}$ be a point on the line segment $\text{BC}$ such that $\text{AD}$ is perpendicular to $\text{BC}.$ ... what is the radius (in cm) of the circle circumscribing the triangle $\text{ABC}?$ $17.05$ $27.85$ $22.45$ $32.25$ $26.25$
In a triangle $\text{ABC}$, the lengths of the sides $\text{AB}$ and $\text{AC}$ equal $17.5$ cm and $9$ cm respectively. Let $\text{D}$ be a point on the line segment $\...
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13.9k
points
479
views
go_editor
asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
geometry
+
–
0
votes
0
answers
1462
CAT 2008 | Question: 05
Consider a right circular cone of base radius $4$ cm and height $10$ cm. A cylinder is to be placed inside the cone with one of the flat surfaces resting on the base of the cone. Find the largest possible total surface area (in sq cm) of the cylinder. $\frac{100 \pi}{3}$ $\frac{80 \pi}{3}$ $\frac{120 \pi}{7}$ $\frac{130 \pi}{9}$ $\frac{110 \pi}{7}$
Consider a right circular cone of base radius $4$ cm and height $10$ cm. A cylinder is to be placed inside the cone with one of the flat surfaces resting on the base of t...
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13.9k
points
649
views
go_editor
asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
mensuration
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–
0
votes
2
answers
1463
CAT 2008 | Question: 06
What are the last two digits of $7^{2008}?$ $21$ $61$ $01$ $41$ $81$
What are the last two digits of $7^{2008}?$$21$$61$$01$$41$$81$
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13.9k
points
950
views
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asked
Nov 26, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
number-systems
+
–
0
votes
1
answer
1464
CAT 2008 | Question: 02
What is the number of distinct terms in the expansion of $(a + b + c)^{20}?$ $231$ $253$ $242$ $210$ $228$
What is the number of distinct terms in the expansion of $(a + b + c)^{20}?$$231$$253$$242$$210$$228$
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13.9k
points
811
views
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asked
Nov 26, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
permutation-combination
binomial-theorem
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–
1
votes
1
answer
1465
CAT 2008 | Question: 01
How many integers, greater than $999$ but not greater than $4000,$ can be formed with the digits $0, 1, 2, 3$ and $4,$ if repetition of digits is allowed? $499$ $500$ $375$ $376$ $501$
How many integers, greater than $999$ but not greater than $4000,$ can be formed with the digits $0, 1, 2, 3$ and $4,$ if repetition of digits is allowed?$499$$500$$375$$...
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13.9k
points
573
views
go_editor
asked
Nov 26, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
permutation-combination
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–
0
votes
1
answer
1466
arrangement-P and C
In how many ways 8 persons can be arranged on two round tables consisting of 4 chairs each? a)720 b)1260 c)2520 d)5040
In how many ways 8 persons can be arranged on two round tables consisting of 4 chairs each?a)720b)1260c)2520d)5040
Pooja Palod
1.8k
points
996
views
Pooja Palod
asked
Sep 27, 2015
Quantitative Aptitude
quantitative-aptitude
permutation-combination
1-mark
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–
2
votes
2
answers
1467
In the given figure, ∠BAC = 120° and AD is the bisector of ∠BAC.
In the given figure, $∠BAC = 120º$ and $AD$ is the bisector of $∠BAC$. If $\frac{(AD)(AB)}{BD} = \frac{AE}{EC}( AE + EC )$ and $∠EDC = ∠ECD$, what is the ratio ...
makhdoom ghaya
8.0k
points
1.6k
views
makhdoom ghaya
asked
Aug 25, 2015
Quantitative Aptitude
quantitative-aptitude
geometry
triangle
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–
0
votes
2
answers
1468
In a section of a timber mill, cylindrical logs of wood, all of uniform dimensions, arrive as the input and are cut into smaller cylindrical pieces of the same radius using manual and mechanical saws.
In a section of a timber mill, cylindrical logs of wood, all of uniform dimensions, arrive as the input and are cut into smaller cylindrical pieces of the same radius usi...
makhdoom ghaya
8.0k
points
1.6k
views
makhdoom ghaya
asked
Aug 25, 2015
Quantitative Aptitude
quantitative-aptitude
work-time
+
–
9
votes
2
answers
1469
Venn Diagram Question
There are $150$ students in a class. The number of students who play Cricket, Hockey, and Basketball are $125, 130, 135$ respectively. If $5$ students do not play any of the three games, the number of students playing all the three games must be at least $90$ $95$ $100$ $105$
There are $150$ students in a class. The number of students who play Cricket, Hockey, and Basketball are $125, 130, 135$ respectively. If $5$ students do not play any of ...
makhdoom ghaya
8.0k
points
17.2k
views
makhdoom ghaya
asked
Aug 25, 2015
Quantitative Aptitude
quantitative-aptitude
venn-diagrams
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–
1
votes
2
answers
1470
Rohan and Sohan start simultaneously from a point A on a circular track and run in the same direction.
Rohan and Sohan start simultaneously from a point A on a circular track and run in the same direction. The speed of Rohan is nine times the speed of Sohan. How many times...
makhdoom ghaya
8.0k
points
4.9k
views
makhdoom ghaya
asked
Aug 24, 2015
Quantitative Aptitude
quantitative-aptitude
time-and-distance
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–
0
votes
2
answers
1471
If x1/5 > x1/3, then how many of the following statements are definitely true about x?
If x1/5 x1/3 , then how many of the following statements are definitely true about x?x2 x3x1/3 x41 x1/3 x-3x-1/3 x31234
makhdoom ghaya
8.0k
points
990
views
makhdoom ghaya
asked
Aug 24, 2015
Quantitative Aptitude
quantitative-aptitude
+
–
1
votes
1
answer
1472
Y is a subset of A such that the geometric mean of no two elements of Y is 350.
Given A = { 1, 3, 9, 27, 81,................................3100 }Y is a subset of A such that the geometric mean of no two elements of Y is 350. N is the maximum possib...
makhdoom ghaya
8.0k
points
676
views
makhdoom ghaya
asked
Aug 24, 2015
Quantitative Aptitude
quantitative-aptitude
sets
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–
0
votes
2
answers
1473
If f(x) = minimum of (3x + 5, 10 - 2x), what is the maximum possible value of f(x)?
If f (x) = minimum of (3x + 5, 10 - 2x), what is the maximum possible value of f (x)?1368
makhdoom ghaya
8.0k
points
2.2k
views
makhdoom ghaya
asked
Aug 24, 2015
Quantitative Aptitude
quantitative-aptitude
functions
+
–
1
votes
2
answers
1474
Let M be the set of all even numbers from 1 to 25 and all the odd numbers between 26 and 200.
Let M be the set of all even numbers from 1 to 25 and all the odd numbers between 26 and 200. If all the elements of M are multiplied, find the number of zeroes at the en...
makhdoom ghaya
8.0k
points
2.8k
views
makhdoom ghaya
asked
Aug 22, 2015
Quantitative Aptitude
quantitative-aptitude
+
–
0
votes
2
answers
1475
A rectangle of the largest possible area is cut out from a semi-circle of perimeter 72 cm
A rectangle of the largest possible area is cut out from a semi-circle of perimeter 72 cm. What is the area of the rectangle cut out? ( Take n = 22 / 7 )196 cm 2156.8 cm ...
makhdoom ghaya
8.0k
points
4.2k
views
makhdoom ghaya
asked
Aug 22, 2015
Quantitative Aptitude
quantitative-aptitude
+
–
1
votes
3
answers
1476
In a class of 51 students, the difference between the highest mark and the least mark is 70.
In a class of 51 students, the difference between the highest mark and the least mark is 70. If the average score is calculated without considering the student who got th...
makhdoom ghaya
8.0k
points
5.5k
views
makhdoom ghaya
asked
Aug 22, 2015
Quantitative Aptitude
quantitative-aptitude
percentage
average
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–
2
votes
2
answers
1477
What is the least number of cuts required to cut a cube into 84 identical pieces,
What is the least number of cuts required to cut a cube into 84 identical pieces, assuming all cuts are made parallel to the faces of the cube?11121310
makhdoom ghaya
8.0k
points
22.5k
views
makhdoom ghaya
asked
Aug 22, 2015
Quantitative Aptitude
quantitative-aptitude
+
–
1
votes
2
answers
1478
Ganesh and Sarath were given a quadratic equation in x to solve.
Ganesh and Sarath were given a quadratic equation in x to solve. Ganesh made a mistake in copying the constant term of the equation and got a root as 12. Sarath made a mi...
makhdoom ghaya
8.0k
points
1.5k
views
makhdoom ghaya
asked
Aug 22, 2015
Quantitative Aptitude
quantitative-aptitude
+
–
0
votes
1
answer
1479
Three friends - A, B and C - go boating in a stream and decide to play a game.
Three friends - A, B and C - go boating in a stream and decide to play a game. B and C are at a point X at time t =0 seconds. B is on a boat which is floating with the st...
makhdoom ghaya
8.0k
points
2.8k
views
makhdoom ghaya
asked
Aug 21, 2015
Quantitative Aptitude
quantitative-aptitude
+
–
1
votes
3
answers
1480
A is a non-empty set having n elements. P and Q are two subsets of A, such that P is a subset of Q.
A is a non-empty set having n elements. P and Q are two subsets of A, such that P is a subset of Q. Find the number of ways of choosing the subsets P and Q.4 n3 n2 nn 2
makhdoom ghaya
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makhdoom ghaya
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Aug 21, 2015
Quantitative Aptitude
quantitative-aptitude
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