Aptitude Overflow
Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Blogs
Exams
Dark Mode
Recent questions tagged cat2003-1
0
votes
0
answers
81
CAT 2003 | Question: 1-139
If the product of $n$ positive real numbers is unity, then their sum is necessarily a multiple of $n$ equal to $n+\left(\frac{1}{n}\right)$ never less than $n$ a positive integer
go_editor
asked
in
Quantitative Aptitude
Feb 10, 2016
by
go_editor
13.4k
points
157
views
cat2003-1
quantitative-aptitude
number-systems
0
votes
0
answers
82
CAT 2003 | Question: 1-138
There are $8436$ steel balls, each with a radius of $1$ centimeter, stacked in a pile, with $1$ ball on top, $3$ balls in second layer, $6$ in the third layer, $10$ in the fourth, and so on. The number of horizontal layers in the pile is $34$ $38$ $36$ $32$
go_editor
asked
in
Quantitative Aptitude
Feb 9, 2016
by
go_editor
13.4k
points
239
views
cat2003-1
quantitative-aptitude
mensuration
0
votes
0
answers
83
CAT 2003 | Question: 1-136
In a triangle $\text{ABC, AB= 6, BC= 8}$ and $\text{AC=10}.$ A perpendicular dropped from $\text{B}$, meets the side $\text{AC}$ at $\text{D}.$ A circles of radius $\text{BD}$ (with centre $\text{B})$ is drawn. If the circle cuts $\text{AB}$ and $\text{BC}$ at $\text{P}$ and $\text{Q}$ respectively, then $\text{AP : QC}$ is equal to $1:1$ $3:2$ $4:1$ $3:8$
go_editor
asked
in
Quantitative Aptitude
Feb 9, 2016
by
go_editor
13.4k
points
188
views
cat2003-1
quantitative-aptitude
geometry
0
votes
0
answers
84
CAT 2003 | Question: 1-135
A vertical tower $\text{OP}$ stands at the centre $\text{O}$ of a square $\text{ABCD}.$ Let $h$ and $b$ denote the lengths $\text{OP}$ and $\text{AB}$ respectively. Suppose $\measuredangle \text{APB} = 60^{\circ}$. Then the relationship between $h$ and $b$ can be expressed as $2b^2 = h^2$ $2h^2 = b^2$ $3b^2 = 2h^2$ $3h^2 = 2b^2$
go_editor
asked
in
Quantitative Aptitude
Feb 9, 2016
by
go_editor
13.4k
points
281
views
cat2003-1
quantitative-aptitude
trigonometry
height-distance
0
votes
0
answers
85
CAT 2003 | Question: 1-137
In the diagram given below, $\measuredangle \text{ABD} = \measuredangle \text{CDB} = \measuredangle \text{PQD} = 90^{\circ}$. If $\text{AB : CD} = 3:1,$ the ratio of $\text{CD : PQ}$ is $1:0.69$ $1:0.75$ $1:0.72$ None of these
go_editor
asked
in
Quantitative Aptitude
Feb 8, 2016
by
go_editor
13.4k
points
145
views
cat2003-1
quantitative-aptitude
geometry
0
votes
0
answers
86
CAT 2003 | Question: 1-134
How many three digit positive integers, with digits $x, y$ and $z$ in the hundred's, ten's and unit's place respectively, exist such that $x < y, z < y$ and $x \neq 0?$ $245$ $285$ $240$ $320$
go_editor
asked
in
Quantitative Aptitude
Feb 8, 2016
by
go_editor
13.4k
points
187
views
cat2003-1
quantitative-aptitude
permutation-combination
0
votes
0
answers
87
CAT 2003 | Question: 1-133
In the figure below, $\text{ABCDEF}$ is a rectangular hexagon and $\measuredangle \text{AOF} = 90^{\circ}$ is parallel to $\text{ED}.$ What is the ratio of the area of the triangle $\text{AOF}$ to that of the hexagon $\text{ABCDEF}?$ $\frac{1}{12}$ $\frac{1}{6}$ $\frac{1}{24}$ $\frac{1}{18}$
go_editor
asked
in
Quantitative Aptitude
Feb 8, 2016
by
go_editor
13.4k
points
263
views
cat2003-1
quantitative-aptitude
geometry
0
votes
0
answers
88
CAT 2003 | Question: 1-132
Three horses are grazing within a semi-circular field. In the diagram given below, AB is the diameter of the semi-circular field with center at O. Horses are tied up at P, R and S such that PO and RO are the radii of semi-circles with centres at P and R ... the area of the semi-circle with diameter AB that cannot be grazed by the horses is nearest to $20$ $28$ $36$ $40$
go_editor
asked
in
Quantitative Aptitude
Feb 8, 2016
by
go_editor
13.4k
points
348
views
cat2003-1
quantitative-aptitude
geometry
0
votes
0
answers
89
CAT 2003 | Question: 1-131
Let $a, b, c, d$ be the four integers such that $a +b+c+d =4m+1$ where m is a positive integer. Given $m,$ which one of the following is necessarily true? The minimum possible value of $a^2 + b^2 + c^2 + d^2$ is $4m^2 - 2m + 1$ ... $4m^2 - 2m + 1$ The maximum possible value of $a^2 + b^2 + c^2 + d^2$ is $4m^2 + 2m + 1$
go_editor
asked
in
Quantitative Aptitude
Feb 8, 2016
by
go_editor
13.4k
points
227
views
cat2003-1
quantitative-aptitude
algebra
0
votes
0
answers
90
CAT 2003 | Question: 1-130
There are two concentric circles such that the area of the outer circle is four times of the area of inner circle. Let A, B and C be the three distinct points on the perimeter of the outer circle such that AB and AC are tangents to the inner circle. If the area of the outer circle is ... $\pi \sqrt{12}$ $\frac{9}{\pi}$ $\frac{9 \sqrt{3} }{\pi}$ $\frac{6 \sqrt{3} }{\pi}$
go_editor
asked
in
Quantitative Aptitude
Feb 8, 2016
by
go_editor
13.4k
points
174
views
cat2003-1
quantitative-aptitude
geometry
0
votes
0
answers
91
CAT 2003 | Question: 1-129
Let $p$ and $q$ be the roots of the quadratic equation $x^2 - (a-2) x-a -1 =0.$ What is the minimum possible value of $p^2 + q^2?$ $0$ $3$ $4$ $5$
go_editor
asked
in
Quantitative Aptitude
Feb 8, 2016
by
go_editor
13.4k
points
240
views
cat2003-1
quantitative-aptitude
quadratic-equations
0
votes
1
answer
92
CAT 2003 | Question: 1-128
The $288$-th term of the series $a,b,b,c,c,c,d,d,d,d,e,e,e,e,e,f,f,f,f,f,f, \dots$ is $u$ $v$ $w$ $x$
go_editor
asked
in
Quantitative Aptitude
Feb 8, 2016
by
go_editor
13.4k
points
296
views
cat2003-1
quantitative-aptitude
sequences&series
0
votes
0
answers
93
CAT 2003 | Question: 1-127
Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is $90^{\circ}$ or concanve if the internal angle is $270^{\circ}$. If the number of convex corners in such a polygon is $25,$ the number of concave corners must be $20$ $0$ $21$ $22$
go_editor
asked
in
Quantitative Aptitude
Feb 8, 2016
by
go_editor
13.4k
points
253
views
cat2003-1
quantitative-aptitude
geometry
1
vote
1
answer
94
CAT 2003 | Question: 1-126
At the end of the year $1998,$ Shepard bought none dozen goats. Henceforth, every year he added $p\%$ of the goats at the beginning of the year and sold $q\%$ of the goats at the end of the year where $p>0$ and $q>0.$ If Shepard had $9$ dozen goats at ... after making the sales for that year, which of the following is true? $p=q$ $p<q$ $p>q$ $p = \frac {q}{2}$
go_editor
asked
in
Quantitative Aptitude
Feb 8, 2016
by
go_editor
13.4k
points
1.5k
views
cat2003-1
quantitative-aptitude
percentage
0
votes
0
answers
95
CAT 2003 | Question: 1-121
Choose $1$ if the question can be answered by one of the statements alone but not by the other. Choose $2$ if the question can be answered by using either statement alone. Choose $3$ if the question can be answered by using both the statements together, but cannot be answered by ... $a=2$ and $b$ is an integer? $b$ is even $b$ is greater than $16$
go_editor
asked
in
Quantitative Aptitude
Feb 7, 2016
by
go_editor
13.4k
points
200
views
cat2003-1
quantitative-aptitude
algebra
1
vote
1
answer
96
CAT 2003 | Question: 1-120
In a $4000$ meter race around a circular stadium having a circumference of $1000$ meters, the fastest runner and the slowest runner reach the same point at the end of $5$th minute, for the first time after the start of the race. All the runners have the same ... runner, what is the time taken by the fastest runner to finish the race? $20$ min $15$ min $10$ min $5$ min
go_editor
asked
in
Quantitative Aptitude
Feb 7, 2016
by
go_editor
13.4k
points
1.0k
views
cat2003-1
quantitative-aptitude
speed-distance-time
0
votes
0
answers
97
CAT 2003 | Question: 1-119
A positive whole number $\text{M}$ less than $100$ is represented in base $2$ notation, in base $3$ notation, and base $5$ notation. It is found that in all three cases the last digit is $1,$ while in exactly two out of three cases the leading digit is $1.$ Then $\text{M}$ equals $31$ $63$ $75$ $91$
go_editor
asked
in
Quantitative Aptitude
Feb 7, 2016
by
go_editor
13.4k
points
265
views
cat2003-1
quantitative-aptitude
number-systems
0
votes
0
answers
98
CAT 2003 | Question: 1-118
How many even integers $n,$ where $100 \leq n \leq 200$, are divisible neither by $7$ nor by $9?$ $40$ $37$ $39$ $38$
go_editor
asked
in
Quantitative Aptitude
Feb 7, 2016
by
go_editor
13.4k
points
189
views
cat2003-1
quantitative-aptitude
number-systems
0
votes
0
answers
99
CAT 2003 | Question: 1-117
The function $f(x) = |x-2| + |2.5-x| + |3.6-x|$, where $x$ is a real number, attains a minimum at $x=2.3$ $x=2.5$ $x=2.7$ None of these
go_editor
asked
in
Quantitative Aptitude
Feb 7, 2016
by
go_editor
13.4k
points
146
views
cat2003-1
quantitative-aptitude
functions
0
votes
0
answers
100
CAT 2003 | Question: 1-116
Let $g(x) = \max(5-x, \: x+2)$. The smallest possible value of $g(x)$ is $4.0$ $4.5$ $1.5$ None of these
go_editor
asked
in
Quantitative Aptitude
Feb 7, 2016
by
go_editor
13.4k
points
179
views
cat2003-1
quantitative-aptitude
maxima-minima
0
votes
0
answers
101
CAT 2003 | Question: 1-115
$27$ persons attend a party. Which one of the following statements can never be true? There is a person in the party who is acquainted with all the $26$ members. Each person in the party has a different number of acquaintances. There is a person in the party who has odd number of acquaintances. In the party, there is no set of three mutual acquaintances.
go_editor
asked
in
Quantitative Aptitude
Feb 7, 2016
by
go_editor
13.4k
points
306
views
cat2003-1
quantitative-aptitude
permutation-combination
0
votes
0
answers
102
CAT 2003 | Question: 1-114
A test has $50$ questions. A student scores $1$ mark for the correct answer, $-1/3$ for a wrong answer and $-1/6$ for not attempting the question. If the net score of the student is $32,$ the number of questions answered wrongly by that student cannot be less than $6$ $12$ $3$ $9$
go_editor
asked
in
Quantitative Aptitude
Feb 7, 2016
by
go_editor
13.4k
points
222
views
cat2003-1
quantitative-aptitude
number-systems
0
votes
1
answer
103
CAT 2003 | Question: 1-111
Answer the question on the basis of the information given below: A city has two perfectly circular and concentric ring roads, the outer ring road (OR) being twice as long as the inner ring road (IR). There are also four (straight line) chord roads from $\text{E1},$ the east end ... of the outer ring road is $\sqrt{5} : 2$ $\sqrt{5} : -2$ $\sqrt{5} : \pi$ None of these
go_editor
asked
in
Quantitative Aptitude
Feb 7, 2016
by
go_editor
13.4k
points
1.3k
views
cat2003-1
quantitative-aptitude
speed-distance-time
0
votes
2
answers
104
CAT 2003 | Question: 1-110
The sum of $3$-rd and $15$-th elements of an arithmetic progression is equal to the sum of $6$-th, $11$-th and $13$-th elements of the same progression. Then which element of the series should necessarily be equal to zero? $1$-st $9$-th $12$-th None of these
go_editor
asked
in
Quantitative Aptitude
Feb 5, 2016
by
go_editor
13.4k
points
470
views
cat2003-1
quantitative-aptitude
arithmetic-progression
0
votes
0
answers
105
CAT 2003 | Question: 1-109
A leather factory produces two kinds of bags, standard and deluxe. The profit margin is Rs. $20$ on a standard bag and Rs. $30$ on a deluxe bag. Every bag must be processed on a machine A and on machine B. The processing times per bag on the two ... $100$ bags, Deluxe $60$ bags Standard $50$ bags, Deluxe $100$ bags Standard $60$ bags, Deluxe $90$ bags
go_editor
asked
in
Quantitative Aptitude
Feb 5, 2016
by
go_editor
13.4k
points
781
views
cat2003-1
quantitative-aptitude
profit-loss
0
votes
0
answers
106
CAT 2003 | Question: 1-108
Which one of the following conditions must $p, q,$ and $r$ satisfy so that the following system of linear simultaneous equations has at least one solution, such that $p+ q + r \neq 0?$ $x+2y-3z=p$ $2x+6y-11z=q$ $x-2y+7z=r$ $5p - 2q - r=0$ $5p + 2q + r=0$ $5p + 2q - r=0$ $5p - 2q + r=0$
go_editor
asked
in
Quantitative Aptitude
Feb 5, 2016
by
go_editor
13.4k
points
242
views
cat2003-1
quantitative-aptitude
system-of-equations
0
votes
0
answers
107
CAT 2003 | Question: 1-107
Let A and B two solid spheres such that the surface area of B is $300\%$ higher than the surface area of A. The volume of area is found to be $k\%$ lower than the volume of B. The value of $k$ must be ________ $85.5$ $92.5$ $90.5$ $87.5$
go_editor
asked
in
Quantitative Aptitude
Feb 5, 2016
by
go_editor
13.4k
points
266
views
cat2003-1
quantitative-aptitude
mensuration
0
votes
0
answers
108
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
go_editor
asked
in
Quantitative Aptitude
Feb 5, 2016
by
go_editor
13.4k
points
1.9k
views
cat2003-1
quantitative-aptitude
logarithms
0
votes
2
answers
109
CAT 2003 | Question: 1-105
The number of non-negative real roots of $2^x - x - 1 =0$ equals _______ $0$ $1$ $2$ $3$
go_editor
asked
in
Quantitative Aptitude
Feb 5, 2016
by
go_editor
13.4k
points
647
views
cat2003-1
quantitative-aptitude
algebra
0
votes
0
answers
110
CAT 2003 | Question: 1-103
New Age Consultants have three consultants Gyani, Medha and Buddhi. The sum of the number of projects handled by Gyani and Buddhi individually is equal to the number of projects in which Medha is involved. All three consultants are involved in ... Gyani alone is involved? Uniquely equal to zero. Uniquely equal to one Uniquely equal to four cannot be determined uniquely
go_editor
asked
in
Quantitative Aptitude
Feb 5, 2016
by
go_editor
13.4k
points
271
views
cat2003-1
quantitative-aptitude
work-time
0
votes
1
answer
111
CAT 2003 | Question: 1-101
Answer the question on the basis of the information given below: A certain perfume is available at a duty-free shop at the Bangkok international airport. It is priced in the Thai currency Baht but other currencies are also acceptable. In particular, the shop accepts Euro ... remaining amount in US Dollars. How much does R owe to S in That Bahts? $428$ $416$ $334$ $324$
go_editor
asked
in
Quantitative Aptitude
Feb 5, 2016
by
go_editor
13.4k
points
2.1k
views
cat2003-1
quantitative-aptitude
number-systems
0
votes
0
answers
112
CAT 2003 | Question: 1-98
Answer the question on the basis of the information given below: Five friends meet every morning at Sree Sagar restaurant for an idli-vada breakfast. Each consumes a different number of idlis and Vadas. The number of idlis consumed are $1, 4, 5, 6,$ and $8$, ... statements is true? Daljit eats $5$ idlis. Ignesh eats $8$ idlis. Bimal eats $1$ idlis. Bimal eats $6$ idlis.
go_editor
asked
in
Logical Reasoning
Feb 4, 2016
by
go_editor
13.4k
points
623
views
cat2003-1
logical-reasoning
logic-puzzles
0
votes
0
answers
113
CAT 2003 | Question: 1-95
Answer the question on the basis of the information given below: Five women decided to go for shopping in MG road, Bangalore. They arrived at the designated meeting place in the following order$: 1.$ Archana, $2.$ Chellama, $3.$ Dhenuka, $4.$ ... amount and Chellamma the smallest. What was the amount spent by Helen? Rs. $1193$ Rs. $1340$ Rs. $2234$ Rs. $2517$
go_editor
asked
in
Logical Reasoning
Feb 4, 2016
by
go_editor
13.4k
points
160
views
cat2003-1
logical-reasoning
logic-puzzles
0
votes
0
answers
114
CAT 2003 | Question: 1-93
Answer the question on the basis of the information given below: Some children were taking free throws at the basket ball court in the school during lunch break. Below are some facts about how many baskets these children shot. Ganesh shot $8$ baskets less ... . Jugraj shot $19$ baskets and Dhanraj shot $27$ baskets. Dhanraj shot $11$ baskets and Ashish shot $16$ baskets.
go_editor
asked
in
Logical Reasoning
Feb 4, 2016
by
go_editor
13.4k
points
254
views
cat2003-1
logical-reasoning
logic-puzzles
0
votes
0
answers
115
CAT 2003 | Question: 1-92
Choose 1 if the question can be answered by one of the statements alone but not by other. Choose 2 if the question can be answered by using either statement alone. Choose 3 if the question can be answered by using both the statements together but cannot be answered by using ... race? A and C run the same race and A wins by $375$ meters. The length of the race is $1$ km.
go_editor
asked
in
Logical Reasoning
Feb 4, 2016
by
go_editor
13.4k
points
241
views
cat2003-1
logical-reasoning
logic-puzzles
0
votes
0
answers
116
CAT 2003 | Question: 1-91
Choose 1 if the question can be answered by one of the statements alone but not by other. Choose 2 if the question can be answered by using either statement alone. Choose 3 if the question can be answered by using both the statements together but cannot be ... her was S and the total number of amount spent was Rs. $210.$ The total number of vowels obtained was $18.$
go_editor
asked
in
Logical Reasoning
Feb 4, 2016
by
go_editor
13.4k
points
174
views
cat2003-1
logical-reasoning
logic-puzzles
0
votes
0
answers
117
CAT 2003 | Question: 1-90
Choose 1 if the question can be answered by one of the statements alone but not by other. Choose 2 if the question can be answered by using either statement alone. Choose 3 if the question can be answered by using both the statements together but cannot ... many times did he toss the coin? The game ended normally. The total number of tails obtained in that game was $138$
go_editor
asked
in
Logical Reasoning
Jan 30, 2016
by
go_editor
13.4k
points
234
views
cat2003-1
logical-reasoning
logic-puzzles
0
votes
0
answers
118
CAT 2003 | Question: 1-89
Choose 1 if the question can be answered by one of the statements alone but not by other. Choose 2 if the question can be answered by using either statement alone. Choose 3 if the question can be answered by using both the statements together but cannot be ... . The siblings of F and M are unmarried. How many brothers does M have? F has two brothers. M has five siblings.
go_editor
asked
in
Logical Reasoning
Jan 30, 2016
by
go_editor
13.4k
points
142
views
cat2003-1
logical-reasoning
family-relationships
0
votes
0
answers
119
CAT 2003 | Question: 1-86
Answer the questions on the basis of the information given below: Seven varsity basketball players (A, B, C, D, E, F and G) are to be honoured at a special luncheon. The players will be seated on the dais in a row. A and G have to leave ... bitter rivals and therefore must be seated as far apart as possible. Which of the following cannot be seated at either end? C D F G
go_editor
asked
in
Logical Reasoning
Jan 30, 2016
by
go_editor
13.4k
points
240
views
cat2003-1
logical-reasoning
logic-puzzles
0
votes
0
answers
120
CAT 2003 | Question: 1-83
Answer the question based in the information given below: Rang Barsey Paint Company (RBPC) is in the business of manufacturing paints. RBPC buys RED, YELLOW, WHITE, ORANGE and PINK paints. ORANGE paint can also be produced by mixing RED and YELLOW paints in equal proportions. ... . $19.50$ per litre Rs. $19.75$ per litre Rs. $20.00$ per litre Rs. $20.25$ per litre
go_editor
asked
in
Logical Reasoning
Jan 30, 2016
by
go_editor
13.4k
points
609
views
cat2003-1
logical-reasoning
logic-puzzles
Page:
« prev
1
2
3
4
next »
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
-tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Subjects
All categories
English Language
(1.7k)
Analytical Aptitude
(1.5k)
Quantitative Aptitude
(1.9k)
Spatial Aptitude
(11)
General Awareness
(139)
Computer Knowledge
(70)
Attitude and Leadership
(120)
Teaching Skills
(0)
Others
(0)
Recent Posts
UPSC CDS II 2021
HOW TO PREPARE FOR IELTS?
Previous Year CAT Papers
GRE Exam: New Test Pattern 2016 – 2017
Raise your Visibility to Attract GRE Test Takers
Recent questions tagged cat2003-1