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2 votes
1 answer
4891
CAT 2001 | Question: 48
Let $n$ be the number of different $5$ digit numbers, divisible by $4$ with the digits $1, 2, 3, 4, 5$ and $6,$ no digit being repeated in the numbers. What is the value of $n?$ $144$ $168$ $192$ None of these
Let $n$ be the number of different $5$ digit numbers, divisible by $4$ with the digits $1, 2, 3, 4, 5$ and $6,$ no digit being repeated in the numbers. What is the value ...
0 votes
3 answers
4892
CAT 2001 | Question: 47
The figure below shows the network connecting cities A, B, C, D, E and F. The arrows indicate permissible direction of travel. What is the number of distinct paths from A to F? $9$ $10$ $11$ None of these
The figure below shows the network connecting cities A, B, C, D, E and F. The arrows indicate permissible direction of travel. What is the number of distinct paths from A...
1 votes
0 answers
4897
CAT 2001 | Question: 42
Let $b$ be a positive integer and $a = b^2 – b$. If b $\geq$ 4, then $a^2 – 2a$ is divisible by $15$ $20$ $24$ None of these
Let $b$ be a positive integer and $a = b^2 – b$. If b $\geq$ 4, then $a^2 – 2a$ is divisible by$15$$20$$24$None of these
0 votes
0 answers
4898
CAT 2001 | Question: 41
A rectangular pool $20$ metres wide and $60$ metres long is surrounded by a walkway of uniform width. If the total area of the walkway is $516$ square metres, how wide, in metres, is the walkway? $43$ m $4.3$ m $3$ m $3.5$ m
A rectangular pool $20$ metres wide and $60$ metres long is surrounded by a walkway of uniform width. If the total area of the walkway is $516$ square metres, how wide, i...
1 votes
1 answer
4899
CAT 2001 | Question: 40
Based on the figure below, what is the value of $x,$ if $y = 10?$ $0$ $11$ $12$ None of these
Based on the figure below, what is the value of $x,$ if $y = 10?$$0$$11$$12$None of these
2 votes
1 answer
4901
CAT 2001 | Question: 37
Let $x, y$ be two positive numbers such that $x + y =1.$ Then, the minimum value of $\left(x+ \frac{1}{x} \right)^2 + \left(y + \frac{1}{y}\right)^2$ is $12$ $20$ $12.5$ $13.3$
Let $x, y$ be two positive numbers such that $x + y =1.$ Then, the minimum value of $\left(x+ \frac{1}{x} \right)^2 + \left(y + \frac{1}{y}\right)^2$ is$12$$20$$12.5$$13....
1 votes
1 answer
4905
CAT 2001 | Question: 33
A set of consecutive positive integers beginning with $1$ is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is $35 \frac{7}{17}$. What was the number erased? $7$ $8$ $9$ None of these
A set of consecutive positive integers beginning with $1$ is written on the blackboard. A student came along and erased one number. The average of the remaining numbers i...
0 votes
1 answer
4907
CAT 2001 | Question: 31
Fresh grapes contain $90\%$ water by weight while dry grapes contain $20\%$ water by weight. What is the weight of dry grapes available from $20$ kg of fresh grapes? $2$ kg $2.4$ kg $2.5$ kg None of these
Fresh grapes contain $90\%$ water by weight while dry grapes contain $20\%$ water by weight. What is the weight of dry grapes available from $20$ kg of fresh grapes?$2$ k...
0 votes
0 answers
4909
CAT 2001 | Question: 29
Euclid has a triangle in mind, Its longest side has length $20$ and another of its sides has length $10.$ Its area is $80.$ What is the exact length of its third side? $\sqrt{260}$ $\sqrt{250}$ $\sqrt{240}$ $\sqrt{270}$
Euclid has a triangle in mind, Its longest side has length $20$ and another of its sides has length $10.$ Its area is $80.$ What is the exact length of its third side?$\s...
0 votes
1 answer
4911
CAT 2001 | Question: 27
If $a, b, c$ and $d$ are four positive real numbers such that $abcd = 1,$ what is the minimum value of $(1 + a)(1 + b)(1 + c)(1 + d)?$ $4$ $1$ $16$ $18$
If $a, b, c$ and $d$ are four positive real numbers such that $abcd = 1,$ what is the minimum value of $(1 + a)(1 + b)(1 + c)(1 + d)?$$4$$1$$16$$18$
0 votes
1 answer
4915
CAT 2001 | Question: 24
All the page numbers from a book are added, beginning at page $1.$ However, one page number was mistakenly added twice. The sum obtained was $1000.$ Which page number was added twice? $44$ $45$ $10$ $12$
All the page numbers from a book are added, beginning at page $1.$ However, one page number was mistakenly added twice. The sum obtained was $1000.$ Which page number was...
1 votes
1 answer
4916
CAT 2001 | Question: 23
Two sides of a plot measure $32$ metres and $24$ metres and the angle between them is a perfect right angle. The other two sides measure $25$ metres each and the other three are not right angles. What is the area of the plot? $768$ $534$ $696.5$ $684$
Two sides of a plot measure $32$ metres and $24$ metres and the angle between them is a perfect right angle. The other two sides measure $25$ metres each and the other th...
1 votes
1 answer
4920
CAT 2001 | Question: 19
In a number system the product of $44$ and $11$ is $1034.$ The number $3111$ of this system, when converted to the decimal number system, becomes $406$ $1086$ $213$ $691$
In a number system the product of $44$ and $11$ is $1034.$ The number $3111$ of this system, when converted to the decimal number system, becomes$406$$1086$$213$$691$
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