Register
Filter

Recent questions

0 votes
0 answers
5124
CAT 2002 | Question: 53
For three integers $x, y$ and $z, x+y+z=15,$ and $xy+yz+xz=3.$ What is the largest value which $x$ can take? $3 \sqrt{13}$ $\sqrt{19}$ $13 /3$ $\sqrt{15}$
For three integers $x, y$ and $z, x+y+z=15,$ and $xy+yz+xz=3.$ What is the largest value which $x$ can take?$3 \sqrt{13}$$\sqrt{19}$$13 /3$$\sqrt{15}$
0 votes
3 answers
5126
CAT 2002 | Question: 51
On dividing a number by $3, 4,$ and $7,$ the remainders are $2, 1,$ and $4$ respectively. If the same number is divided by $84$ then the remainder is $80$ $76$ $53$ None of these
On dividing a number by $3, 4,$ and $7,$ the remainders are $2, 1,$ and $4$ respectively. If the same number is divided by $84$ then the remainder is$80$$76$$53$None of t...
0 votes
0 answers
5127
CAT 2002 | Question: 50
For the capitalized word a sentence is given, you have to find out the option which represents the similar meaning to the given word. OSTENSIBLE – The watchmen’s ostensible job is to guard this building. Blatant Ostentatious Insidious Apparent
For the capitalized word a sentence is given, you have to find out the option which represents the similar meaning to the given word.OSTENSIBLE – The watchmen’s osten...
0 votes
0 answers
5128
CAT 2002 | Question: 49
For the capitalized word a sentence is given, you have to find out the option which represents the similar meaning to the given word. RESTIVE – The waiting public started getting restive when the leader got late for the speech. Angry Violent Restless Distressed
For the capitalized word a sentence is given, you have to find out the option which represents the similar meaning to the given word.RESTIVE – The waiting public starte...
0 votes
0 answers
5130
CAT 2002 | Question: 47
For the capitalized word a sentence is given, you have to find out the option which represents the similar meaning to the given word. PORTENDS – it appears to many that US “war on terrorism” portends trouble in Gulf. Introduces Bodes Spells Evokes
For the capitalized word a sentence is given, you have to find out the option which represents the similar meaning to the given word.PORTENDS – it appears to many that ...
0 votes
0 answers
5148
CAT 2003 | Question: 1-150
Let T be the set of integers $\{3, 11, 19,27, \dots ,451, 459, 467\}$ and S be a subset of T such that the sum of no two elements of S is $470.$ The maximum possible number of elements in S is $32$ $28$ $29$ $30$
Let T be the set of integers $\{3, 11, 19,27, \dots ,451, 459, 467\}$ and S be a subset of T such that the sum of no two elements of S is $470.$ The maximum possible numb...
0 votes
0 answers
5149
CAT 2003 | Question: 1-149
The number of positive integers $n$ in the range $12 \leq n \leq 40$ such that the product $(n-1)(n-2) \dots 3 \cdot 2 \cdot 1$ is not divisible by $n$ is $5$ $7$ $13$ $14$
The number of positive integers $n$ in the range $12 \leq n \leq 40$ such that the product $(n-1)(n-2) \dots 3 \cdot 2 \cdot 1$ is not divisible by $n$ is$5$$7$$13$$14$
0 votes
0 answers
5151
CAT 2003 | Question: 1-147
if $x,y,z$ are distinct positive real numbers then $\frac{x^2(y+z) + y^2(x+z) + z^2(x+y)}{xyz}$ would be greater than $4$ greater than $5$ greater than $6$ None of these
if $x,y,z$ are distinct positive real numbers then $\frac{x^2(y+z) + y^2(x+z) + z^2(x+y)}{xyz}$ would begreater than $4$greater than $5$greater than $6$None of these
0 votes
0 answers
5152
CAT 2003 | Question: 1-146
In a certain examination paper, there are n questions. For $j=1, 2, \dots,n,$ there are $2^{n-i}$ students who answered $j$ or more questions wrongly. If the total number of wrong answer is $4095,$ then the value of $n$ is $12$ $11$ $10$ $9$
In a certain examination paper, there are n questions. For $j=1, 2, \dots,n,$ there are $2^{n-i}$ students who answered $j$ or more questions wrongly. If the total number...
0 votes
0 answers
5153
CAT 2003 | Question: 1-145
Consider the following two curves in the $x-y$ plane $y=x^3 + x^2 +5$ $y=x^2 + x + 5$ Which of the following statements is true for $-2 \leq z \leq 2$? The two curves intersect once The two curves intersect twice The two curves do not intersect The two curves intersect thrice
Consider the following two curves in the $x-y$ plane $y=x^3 + x^2 +5$$y=x^2 + x + 5$Which of the following statements is true for $-2 \leq z \leq 2$?The two curves inters...
0 votes
0 answers
5155
CAT 2003 | Question: 1-143
Given that $-1 \leq v \leq 1, -2 \leq u \leq -0.5 \text{ and } -2 \leq z \leq -0.5 \text{ and } w=\frac{vz}{u}$ then which of the following is necessarily true? $-0.5 \leq w \leq 2$ $-4 \leq w \leq 4$ $-4 \leq w \leq 2$ $-2 \leq w \leq -0.5$
Given that $-1 \leq v \leq 1, -2 \leq u \leq -0.5 \text{ and } -2 \leq z \leq -0.5 \text{ and } w=\frac{vz}{u}$ then which of the following is necessarily true?$-0.5 \leq...
0 votes
0 answers
5158
CAT 2003 | Question: 1-140
if $\log_3\left(2^x - 5\right), \: \log_3\left(2^x - \frac{7}{2}\right)$ are in arithmetic progression, then the value of $x$ is equal to $5$ $4$ $2$ $3$
if $\log_3\left(2^x - 5\right), \: \log_3\left(2^x - \frac{7}{2}\right)$ are in arithmetic progression, then the value of $x$ is equal to$5$$4$$2$$3$
0 votes
0 answers
5159
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
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 in...
0 votes
0 answers
5160
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 $34$ $38$ $36$ $32$
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 th...
Page: