Register

Recent questions tagged quantitative-aptitude

0 votes
0 answers
1241
CAT 2002 | Question: 81
The area of the triangle with the vertices $(a,a), (a+1, a)$ and $(a, a+2)$ is $a^3$ $1$ $0$ None of these
The area of the triangle with the vertices $(a,a), (a+1, a)$ and $(a, a+2)$ is$a^3$$1$$0$None of these
1 votes
1 answer
1243
CAT 2002 | Question: 79
Three friends went for a picnic. First brought five apples and the second brought three. The third friend however brought only Rs. $8$. What is the share of the first friend? $8$ $7$ $1$ None of these
Three friends went for a picnic. First brought five apples and the second brought three. The third friend however brought only Rs. $8$. What is the share of the first fri...
0 votes
1 answer
1244
CAT 2002 | Question: 78
A thief was stealing diamonds from a jewellery store. On his way out, he encountered three guards, each was given half of the existing diamonds and two, to cover it by the thief. In the end, he was left with one diamond. How many did the thief steal? $40$ $36$ $42$ $38$
A thief was stealing diamonds from a jewellery store. On his way out, he encountered three guards, each was given half of the existing diamonds and two, to cover it by th...
0 votes
0 answers
1245
CAT 2002 | Question: 77
A student finds the sum $1 + 2 + 3 + \dots $ as his patience runs out. He found the sum as $575.$ When the teacher declared the result wrong, the student realized that he missed a number. What was the number the student missed? $16$ $18$ $14$ $20$
A student finds the sum $1 + 2 + 3 + \dots $ as his patience runs out. He found the sum as $575.$ When the teacher declared the result wrong, the student realized that he...
0 votes
0 answers
1248
CAT 2002 | Question: 74
There is a common chord of $2$ circles with radius $15$ and $20.$ The distance between the two centres is $25.$ The length of the chord is $48$ $24$ $36$ $28$
There is a common chord of $2$ circles with radius $15$ and $20.$ The distance between the two centres is $25.$ The length of the chord is$48$$24$$36$$28$
0 votes
0 answers
1249
CAT 2002 | Question: 73
Let $S=2x + 5x^2 + 9x^3 + 14x^4 + 20x^5 \dots \dots $ infinity. The coefficient of $n$-th term is$\frac{n(n+3)}{2}$. Then the sum $S$ is $\frac{x(2-x)}{(1-x)^3}$ $\frac{(2-x)}{(1-x)^3}$ $\frac{x(2-x)}{(1-x)^2}$ None of these
Let $S=2x + 5x^2 + 9x^3 + 14x^4 + 20x^5 \dots \dots $ infinity. The coefficient of $n$-th term is$\frac{n(n+3)}{2}$. Then the sum $S$ is$\frac{x(2-x)}{(1-x)^3}$$\frac{(2-...
0 votes
0 answers
1250
CAT 2002 | Question: 72
The remainder when $2^{256}$ is divided by $17$ is $7$ $13$ $11$ $1$
The remainder when $2^{256}$ is divided by $17$ is$7$$13$$11$$1$
0 votes
0 answers
1251
CAT 2002 | Question: 71
In the figure given below, find the distance $\text{PQ}.$ $7$ m $4.5$ m $10.5$ m $6$ m
In the figure given below, find the distance $\text{PQ}.$ $7$ m$4.5$ m$10.5$ m$6$ m
0 votes
0 answers
1254
CAT 2002 | Question: 68
If $f(x) = \log(1+x)/(1-x))$, then $f(x)+f(y)=$ $f(x+y)$ $f(1+xy)$ $(x+y) \: f(1+xy)$ $f (\frac{x+y}{1+xy})$
If $f(x) = \log(1+x)/(1-x))$, then $f(x)+f(y)=$$f(x+y)$$f(1+xy)$$(x+y) \: f(1+xy)$$f (\frac{x+y}{1+xy})$
0 votes
0 answers
1255
CAT 2002 | Question: 67
If $\text{U, V, W}$ and $m$ are natural numbers such that $\text{U}^m + \text{V}^m = \text{W}^m$, then which of the following is true? $m < \min\text{(U, V, W)}$ $m > \max\text{(U, V, W)}$ $m < \max\text{(U, V, W)}$ None of these
If $\text{U, V, W}$ and $m$ are natural numbers such that $\text{U}^m + \text{V}^m = \text{W}^m$, then which of the following is true?$m < \min\text{(U, V, W)}$$m \max\t...
0 votes
0 answers
1257
CAT 2002 | Question: 65
The number of roots of $\frac{A^2}{x} + \frac{b^2}{x-1} =1$ is $1$ $2$ $3$ None of these
The number of roots of $\frac{A^2}{x} + \frac{b^2}{x-1} =1$ is $1$$2$$3$None of these
1 votes
0 answers
1260
CAT 2002 | Question: 62
For all integers $n>0, \: \: 7^{6n} - 6^{6n}$ is divisible by $13$ $128$ $549$ None of these
For all integers $n>0, \: \: 7^{6n} - 6^{6n}$ is divisible by$13$$128$$549$None of these
1 votes
0 answers
1261
CAT 2002 | Question: 61
A string of length $40$ meters is divided into three parts of different lengths. The first part is three times the second part, and the last part is $23$ meters smaller than the first part. Find the length of the largest part $27$ $4$ $5$ $9$
A string of length $40$ meters is divided into three parts of different lengths. The first part is three times the second part, and the last part is $23$ meters smaller t...
1 votes
1 answer
1263
CAT 2002 | Question: 59
Number $\text{S}$ is equal to the square of the sum of the digits of a $2$ digit number $\text{D}.$ If the difference between $\text{S}$ and $\text{D}$ is $27,$ then $\text{D}$ is $32$ $54$ $64$ $52$
Number $\text{S}$ is equal to the square of the sum of the digits of a $2$ digit number $\text{D}.$ If the difference between $\text{S}$ and $\text{D}$ is $27,$ then $\te...
0 votes
1 answer
1264
CAT 2002 | Question: 58
In the following figure, the area of the isosceles right triangle $\text{ABE}$ is $7$ sq.cm. If $\text{EC = 3BE},$ then the area of rectangle $\text{ABCD}$ id (insq.cm.) $64$ $82$ $26$ $56$
In the following figure, the area of the isosceles right triangle $\text{ABE}$ is $7$ sq.cm. If $\text{EC = 3BE},$ then the area of rectangle $\text{ABCD}$ id (insq.cm.)$...
0 votes
0 answers
1265
CAT 2002 | Question: 57
If $x^2 + 5y^2 + z^2 = 2y(2x+z)$, then which of the following statements are necessarily true? $x=2y$ $x=2z$ $2x=z$ Only I Only II Only III Only I and II
If $x^2 + 5y^2 + z^2 = 2y(2x+z)$, then which of the following statements are necessarily true?$x=2y$$x=2z$$2x=z$Only IOnly IIOnly IIIOnly I and II
0 votes
0 answers
1269
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$$\sqrt{15}$
0 votes
3 answers
1271
CAT 2002 | Question: 51
On dividing a number by $3, 4,$ and $7,$ the remainders are $2, 1,$ and $4$ respectively. If the same number is divided by $84$ then the remainder is $80$ $76$ $53$ None of these
On dividing a number by $3, 4,$ and $7,$ the remainders are $2, 1,$ and $4$ respectively. If the same number is divided by $84$ then the remainder is$80$$76$$53$None of t...
0 votes
0 answers
1272
CAT 2003 | Question: 1-150
Let T be the set of integers $\{3, 11, 19,27, \dots ,451, 459, 467\}$ and S be a subset of T such that the sum of no two elements of S is $470.$ The maximum possible number of elements in S is $32$ $28$ $29$ $30$
Let T be the set of integers $\{3, 11, 19,27, \dots ,451, 459, 467\}$ and S be a subset of T such that the sum of no two elements of S is $470.$ The maximum possible numb...
0 votes
0 answers
1273
CAT 2003 | Question: 1-149
The number of positive integers $n$ in the range $12 \leq n \leq 40$ such that the product $(n-1)(n-2) \dots 3 \cdot 2 \cdot 1$ is not divisible by $n$ is $5$ $7$ $13$ $14$
The number of positive integers $n$ in the range $12 \leq n \leq 40$ such that the product $(n-1)(n-2) \dots 3 \cdot 2 \cdot 1$ is not divisible by $n$ is$5$$7$$13$$14$
0 votes
0 answers
1275
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
1276
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
1277
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
1279
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...
Page: