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1 1 vote
0 0 answers
1.1k
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CAT 2003 | Question: 2-112
Answer the questions on the basis of the following information.Recently, the answers of a test held nationwide were leaked to a group of unscrupulous people. The investig...
0 0 votes
0 0 answers
1.2k
1.2k views
CAT 2003 | Question: 2-111
Answer the questions on the basis of the following information.Recently, the answers of a test held nationwide were leaked to a group of unscrupulous people. The investig...
0 0 votes
0 0 answers
1.1k
1.1k views
CAT 2003 | Question: 2-110
Answer the questions on the basis of the following information.Recently, the answers of a test held nationwide were leaked to a group of unscrupulous people. The investig...
0 0 votes
1 1 answer
2.3k
2.3k views
CAT 2003 | Question: 2-109
Answer the question on the basis of following information.Four families decided to attend the marriage ceremony of one of their colleagues. One family has no kids, while ...
0 0 votes
2 answers 2 answers
3.2k
3.2k views
CAT 2003 | Question: 2-108
Answer the question on the basis of following information.Four families decided to attend the marriage ceremony of one of their colleagues. One family has no kids, while ...
1 1 vote
1 answers 1 answer
3.7k
3.7k views
CAT 2003 | Question: 2-107
Answer the question on the basis of following information.Four families decided to attend the marriage ceremony of one of their colleagues. One family has no kids, while ...
0 0 votes
1 answers 1 answer
2.3k
2.3k views
CAT 2003 | Question: 2-106
Answer the question on the basis of following information.Four families decided to attend the marriage ceremony of one of their colleagues. One family has no kids, while ...
1 1 vote
1 answers 1 answer
5.7k
5.7k views
CAT 2003 | Question: 2-105
$70\%$ of the employees in a multinational corporation have VCD players, $75$ percent have microwave ovens, $80$ percent have ACs and $85$ percent have washing machines. ...
0 0 votes
0 0 answers
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1.0k views
CAT 2003 | Question: 2-104
Each question is followed by two statements, A and B. Answer each question using the following instructions.Choose $1$ if the question can be answered by using statement ...
0 0 votes
0 0 answers
1.0k
1.0k views
CAT 2003 | Question: 2-103
Each question is followed by two statements, A and B. Answer each question using the following instructions.Choose $1$ if the question can be answered by using statement ...
0 0 votes
0 0 answers
927
927 views
CAT 2003 | Question: 2-102
Each question is followed by two statements, A and B. Answer each question using the following instructions.Choose $1$ if the question can be answered by using statement ...
0 0 votes
0 0 answers
1.2k
1.2k views
CAT 2003 | Question: 2-101
Each question is followed by two statements, A and B. Answer each question using the following instructions.Choose $1$ if the question can be answered by using statement ...
0 0 votes
2 answers 2 answers
6.1k
6.1k views
CAT 2003 | Question: 2-100
Answer the questions on the basis of the information given below.The seven basic symbols in a certain numeral system and their respective values are as follows:$\text{I} ...
0 0 votes
1 answers 1 answer
2.6k
2.6k views
CAT 2003 | Question: 2-99
Answer the questions on the basis of the information given below.The seven basic symbols in a certain numeral system and their respective values are as follows:$\text{I} ...
0 0 votes
1 answers 1 answer
2.0k
2.0k views
CAT 2003 | Question: 2-98
Answer the questions on the basis of the information given below.The seven basic symbols in a certain numeral system and their respective values are as follows:$\text{I} ...
0 0 votes
0 0 answers
1.3k
1.3k views
CAT 2003 | Question: 2-97
Let $S_1$ be a square of side a. Another square $S_2$ is formed by joining the mid-points of the sides of $S_1$. The same process is applied to $S_2$ to form yet another ...
1 1 vote
1 1 answer
1.8k
1.8k views
CAT 2003 | Question: 2-96
What is the sum of '$n$' terms in the series: $\log m + \log \frac{m^2}{n} + \log \frac{m^3}{n^2} + \log \frac{m^4}{n^3} + \dots + \log \frac{m^n}{n^{n-1}}?$$\log \left[\...
0 0 votes
0 0 answers
1.2k
1.2k views
CAT 2003 | Question: 2-95
In the figure given below (not drawn to scale), $\text{A, B}$ and $\text{C}$ are three points on a circle with centre $\text{O}.$ The chord $\text{BA}$ is extended to a p...
1 1 vote
1 1 answer
1.7k
1.7k views
CAT 2003 | Question: 2-94
What is the sum of all two-digit numbers that give a remainder of $3$ when they are divided by $7?$$666$$676$$683$$777$
1 1 vote
1 1 answer
1.9k
1.9k views
CAT 2003 | Question: 2-93
If $\log_{10} x - \log_{10} \sqrt{x} = 2 \log_x 10$ then a possible value of $x$ is given by$10$$\frac{1}{100}$$\frac{1}{1000}$None of these
0 0 votes
0 0 answers
1.5k
1.5k views
CAT 2003 | Question: 2-92
In the figure below (not drawn to scale), rectangle $\text{ABCD}$ is inscribed in the circle with centre at $\text{O}.$ The length of side $\text{AB}$ is greater than tha...
0 0 votes
0 0 answers
1.3k
1.3k views
CAT 2003 | Question: 2-91
Consider two different cloth-cutting processes. In the first one, $n$ circular cloth pieces are cut from a square cloth piece of side $a$ in the following steps: the orig...
0 0 votes
0 0 answers
1.5k
1.5k views
CAT 2003 | Question: 2-90
An intelligence agency forms a code of two distinct digits selected from $0, 1, 2, \dots 9$ such that the first digit of the code is nonzero. The code, handwritten on a s...
0 0 votes
1 answers 1 answer
1.6k
1.6k views
CAT 2003 | Question: 2-89
If three positive real numbers $x, y, z$ satisfy $y – x = z – y$ and $x y z = 4,$ then what is the minimum possible value of $y?$$2^{\frac{1}{3}}$$2^{\frac{2}{3}}$$2^{\fr...
0 0 votes
1 answers 1 answer
1.7k
1.7k views
CAT 2003 | Question: 2-88
If both $a$ and $b$ belong to the set $\{1, 2, 3, 4\}$, then the number of equations of the form $ax^2 + bx + 1 = 0$ having real roots is$10$$7$$6$$12$
0 0 votes
0 0 answers
1.1k
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CAT 2003 | Question: 2-87
In the figure (not drawn to scale) given below, if $\text{AD = CD = BC},$ and $\measuredangle \text{BCE} = 96^{\circ}$, how much is $\measuredangle \text{DBC}?$$32^{\cir...
0 0 votes
0 0 answers
2.1k
2.1k views
CAT 2003 | Question: 2-86
A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top of the tower is observed from the car and, in the process,...
0 0 votes
0 0 answers
1.0k
1.0k views
CAT 2003 | Question: 2-85
In the figure (not drawn to scale) given below, $\text{P}$ is a point on $\text{AB}$ such that $\text{AP : PB} = 4:3. \;\text{PQ}$ is parallel to $\text{AC}$ and $\text{Q...
0 0 votes
1 1 answer
5.3k
5.3k views
CAT 2003 | Question: 2-84
There are $12$ towns grouped into four zones with three towns per zone. It is intended to connect the towns with telephone lines such that every two towns are connected w...
0 0 votes
1 answers 1 answer
1.8k
1.8k views
CAT 2003 | Question: 2-83
Answer the questions on the basis of the information given below.A string of three English letters is formed as per the following rulesThe first letter is any vowel.The s...
0 0 votes
1 answers 1 answer
2.2k
2.2k views
CAT 2003 | Question: 2-82
Answer the questions on the basis of the information given below.A string of three English letters is formed as per the following rulesThe first letter is any vowel.The s...
0 0 votes
0 0 answers
1.7k
1.7k views
CAT 2003 | Question: 2-81
Two binary operations $\oplus$ and $*$ are defined over the set $\{a, e, f, g, h\}$ as per the following tables$\oplus$aefghaaefgheefghaffghaegghaefhhaefg $\ast$aefghaaaa...
1 1 vote
1 answers 1 answer
2.1k
2.1k views
CAT 2003 | Question: 2-80
Two binary operations $\oplus$ and $^ \ast $ are defined over the set $\{a, e, f, g, h\}$ as per the following tables$\oplus$aefghaaefgheefghaffghaegghaefhhaefg $\ast$aef...
0 0 votes
1 answers 1 answer
2.8k
2.8k views
CAT 2003 | Question: 2-79
Two binary operations $\oplus$ and $^\ast$ are defined over the set $\{a, e, f, g, h\}$ as per the following tables$\oplus$aefghaaefgheefghaffghaegghaefhhaefg$^\ast$aefgh...
0 0 votes
1 1 answer
3.0k
3.0k views
CAT 2003 | Question: 2-78
If $x$ and $y$ are integers then the equation $5x + 19y = 64$ hasno solution for $x < 300$ and $y < 0$no solution for $x 250$ and $y – 100$a solution for $250 < x < 300...
0 0 votes
1 answers 1 answer
1.7k
1.7k views
CAT 2003 | Question: 2-77
What is the remainder when $4^{96}$ is divided by $6?$ $0$$2$$3$$4$
0 0 votes
0 0 answers
989
989 views
CAT 2003 | Question: 2-76
The length of the circumference of a circle equals the perimeter of a triangle of equal sides, and also the perimeter of a square. The areas covered by the circle, triang...
1 1 vote
1 answers 1 answer
3.2k
3.2k views
CAT 2003 | Question: 2-75
Using only $2, 5, 10, 25$ and $50$ paise coins, what will be the minimum number of coins required to pay exactly $78$ paise, $69$ paise and Rs $1.01$ to three different ...
0 0 votes
1 answers 1 answer
1.7k
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CAT 2003 | Question: 2-74
If $\frac{1}{3} \log_3 \text{M} + 3 \log_3 \text{N} =1 + \log_{0.008} 5$, then$\text{M}^9 = \frac{9}{\text{N}}$$\text{N}^9 = \frac{9}{\text{M}}$$\text{M}^3 = \frac{3}{\te...
0 0 votes
1 answers 1 answer
3.7k
3.7k views
CAT 2003 | Question: 2-73
A real number $x$ satisfying $1- \frac{1}{n} < x \leq 3 + \frac{1}{n}$ for every positive integer $n,$ is best described by$1 < x < 4$$0 < x \leq 4$$0 < x \geq 4$$1 \leq ...
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