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Recent questions tagged cat2002

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87
CAT 2002 | Question: 96
If $pqr=1$ then $\frac{1}{1+p+r^{-1}} + \frac{1}{1+q+r^{-1}} + \frac{1}{1+r+p^{-1}} $ is equivalent to $p+q+r$ $\frac{1}{p+q+r}$ $1$ $p^{-1}+q^{-1}+r^{-1}$
If $pqr=1$ then $\frac{1}{1+p+r^{-1}} + \frac{1}{1+q+r^{-1}} + \frac{1}{1+r+p^{-1}} $ is equivalent to$p+q+r$$\frac{1}{p+q+r}$$1$$p^{-1}+q^{-1}+r^{-1}$
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94
CAT 2002 | Question: 86
In how many ways, we can choose a black and a white square on a chess board such that the two are not in the same row or column? $32$ $96$ $24$ None of these
In how many ways, we can choose a black and a white square on a chess board such that the two are not in the same row or column?$32$$96$$24$None of these
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95
CAT 2002 | Question: 85
How many numbers between $0$ and one million can be formed using $0, 7$ and $8?$ $486$ $1086$ $728$ None of these
How many numbers between $0$ and one million can be formed using $0, 7$ and $8?$$486$$1086$$728$None of these
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99
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
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101
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...
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102
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...
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103
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...
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106
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$$28$
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107
CAT 2002 | Question: 73
Let $S=2x + 5x^2 + 9x^3 + 14x^4 + 20x^5 \dots \dots $ infinity. The coefficient of $n$-th term is$\frac{n(n+3)}{2}$. Then the sum $S$ is $\frac{x(2-x)}{(1-x)^3}$ $\frac{(2-x)}{(1-x)^3}$ $\frac{x(2-x)}{(1-x)^2}$ None of these
Let $S=2x + 5x^2 + 9x^3 + 14x^4 + 20x^5 \dots \dots $ infinity. The coefficient of $n$-th term is$\frac{n(n+3)}{2}$. Then the sum $S$ is$\frac{x(2-x)}{(1-x)^3}$$\frac{(2-...
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108
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$$1$
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109
CAT 2002 | Question: 71
In the figure given below, find the distance $\text{PQ}.$ $7$ m $4.5$ m $10.5$ m $6$ m
In the figure given below, find the distance $\text{PQ}.$ $7$ m$4.5$ m$10.5$ m$6$ m
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112
CAT 2002 | Question: 68
If $f(x) = \log(1+x)/(1-x))$, then $f(x)+f(y)=$ $f(x+y)$ $f(1+xy)$ $(x+y) \: f(1+xy)$ $f (\frac{x+y}{1+xy})$
If $f(x) = \log(1+x)/(1-x))$, then $f(x)+f(y)=$$f(x+y)$$f(1+xy)$$(x+y) \: f(1+xy)$$f (\frac{x+y}{1+xy})$
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113
CAT 2002 | Question: 67
If $\text{U, V, W}$ and $m$ are natural numbers such that $\text{U}^m + \text{V}^m = \text{W}^m$, then which of the following is true? $m < \min\text{(U, V, W)}$ $m > \max\text{(U, V, W)}$ $m < \max\text{(U, V, W)}$ None of these
If $\text{U, V, W}$ and $m$ are natural numbers such that $\text{U}^m + \text{V}^m = \text{W}^m$, then which of the following is true?$m < \min\text{(U, V, W)}$$m \max\t...
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115
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
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118
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
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119
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...
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