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Recent questions tagged number-systems
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81
CAT 2001 | Question: 10
In a $4$-digit number, the sum of the first two digits is equal to that of the last two digits. The sum of the first and last digits is equal to the third digit. Finally, the sum of the second and fourth digits is twice the sum of the other two digits. What is the third digit of the number? $5$ $8$ $1$ $4$
go_editor
asked
in
Quantitative Aptitude
Mar 31, 2016
by
go_editor
13.8k
points
266
views
cat2001
quantitative-aptitude
number-systems
1
vote
4
answers
82
CAT 2000 | Question: 108
Convert the number $1982$ from base $10$ to base $12.$ The result is $1182$ $1912$ $1192$ $1292$
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asked
in
Quantitative Aptitude
Mar 30, 2016
by
go_editor
13.8k
points
1.9k
views
cat2000
quantitative-aptitude
number-systems
0
votes
0
answers
83
CAT 2000 | Question: 98
There is a vertical stack of books marked $1, 2,$ and $3$ on Table-A, with $1$ at the bottom and $3$ on top. These are to be placed vertically on Table-B with $1$ at the bottom and $2$ on the top, by making a series of ... table without disturbing the order of books in it. What is the minimum number of moves in which the above task can be accomplished? One Two Three Four
go_editor
asked
in
Quantitative Aptitude
Mar 29, 2016
by
go_editor
13.8k
points
465
views
cat2000
quantitative-aptitude
number-systems
0
votes
1
answer
84
CAT 2000 | Question: 94
Let $\text{N} = 55^3 + 17^3 – 72^3.\; \text{N}$ is divisible by both $7$ and $13$ both $3$ and $13$ both $17$ and $7$ both $3$ and $17$
go_editor
asked
in
Quantitative Aptitude
Mar 29, 2016
by
go_editor
13.8k
points
577
views
cat2000
quantitative-aptitude
number-systems
3
votes
1
answer
85
CAT 2000 | Question: 72
Sam has forgotten his friend’s seven-digit telephone number. He remembers the following: the first three digits are either $635$ or $674,$ the number is odd, and the number nine appears once. If Sam were to use a trial and error process to reach his friend, what is the minimum number of trials he has to make before he can be certain to succeed? $1000$ $2430$ $3402$ $3006$
go_editor
asked
in
Quantitative Aptitude
Mar 28, 2016
by
go_editor
13.8k
points
21.8k
views
cat2000
quantitative-aptitude
number-systems
0
votes
0
answers
86
CAT 2000 | Question: 69
The integers $34041$ and $32506$ when divided by a three-digit integer $`n\text{’}$ leave the same remainder. What is $`n\text{’}?$ $289$ $367$ $453$ $307$
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asked
in
Quantitative Aptitude
Mar 28, 2016
by
go_editor
13.8k
points
335
views
cat2000
quantitative-aptitude
number-systems
1
vote
1
answer
87
CAT 2000 | Question: 68
Let $\text{N} = 1421 \times 1423 \times 1425.$ What is the remainder when $\text{N}$ is divided by $12?$ $0$ $9$ $3$ $6$
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asked
in
Quantitative Aptitude
Mar 28, 2016
by
go_editor
13.8k
points
535
views
cat2000
quantitative-aptitude
number-systems
0
votes
0
answers
88
CAT 2000 | Question: 66
Let $\text{S}$ be the set of prime numbers greater than or equal to $2$ and less than $100.$ Multiply all elements of $\text{S}.$ With how many consecutive zeros will the product end? $1$ $4$ $5$ $10$
go_editor
asked
in
Quantitative Aptitude
Mar 28, 2016
by
go_editor
13.8k
points
384
views
cat2000
quantitative-aptitude
number-systems
0
votes
0
answers
89
CAT 2000 | Question: 64
Let $\text{S}$ be the set of integers $x$ such that $100 < x < 200$ $x$ is odd $x$ is divisible by $3$ but not by $7$ How many elements does $\text{S}$ contain? $16$ $12$ $11$ $13$
go_editor
asked
in
Quantitative Aptitude
Mar 28, 2016
by
go_editor
13.8k
points
428
views
cat2000
quantitative-aptitude
number-systems
0
votes
0
answers
90
CAT 2000 | Question: 56
Let $\text{D}$ be a recurring decimal of the form, $\text{D} = 0.a_1a_2a_1a_2a_1a_2 \dots,$ where digits $a_1$ and $a_2$ lie between $0$ and $9.$ Further, at most one of them is zero. Then which of the following numbers necessarily produces an integer, when multiplied by $\text{D}?$ $18$ $108$ $198$ $288$
go_editor
asked
in
Quantitative Aptitude
Mar 26, 2016
by
go_editor
13.8k
points
336
views
cat2000
quantitative-aptitude
number-systems
0
votes
0
answers
91
CAT 2002 | Question: 76
For all real $\text{X, [X]}$ represents the greatest integer. If $\text{L(X,Y) = [X] + [Y] + [X+Y]}$ and $\text{G(X, Y) = [2X] + [2Y]}.$ Then the ordered pair $\text{(X,Y)}$ cannot be determined if $\text{L(X,Y) > G(X,Y)}$ $\text{L(X,Y) + G(X,Y)}$ $\text{L(X,Y) < G(X,Y)}$ None of these
go_editor
asked
in
Quantitative Aptitude
Mar 2, 2016
by
go_editor
13.8k
points
329
views
cat2002
quantitative-aptitude
number-systems
0
votes
0
answers
92
CAT 2002 | Question: 72
The remainder when $2^{256}$ is divided by $17$ is $7$ $13$ $11$ $1$
go_editor
asked
in
Quantitative Aptitude
Mar 2, 2016
by
go_editor
13.8k
points
256
views
cat2002
quantitative-aptitude
number-systems
0
votes
0
answers
93
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
go_editor
asked
in
Quantitative Aptitude
Mar 2, 2016
by
go_editor
13.8k
points
277
views
cat2002
quantitative-aptitude
number-systems
0
votes
0
answers
94
CAT 2002 | Question: 63
$n_1, n_2, n_3, \dots, n_{10}$ are 10 numbers such that $n_1 > 0$ and the numbers are given in ascending order. How many triplets can be formed using these numbers such that in each triplet, the first number is less than the second number, and the second number is less than the third number? $109$ $27$ $36$ None of these
go_editor
asked
in
Quantitative Aptitude
Mar 2, 2016
by
go_editor
13.8k
points
301
views
cat2002
quantitative-aptitude
number-systems
1
vote
0
answers
95
CAT 2002 | Question: 62
For all integers $n>0, \: \: 7^{6n} - 6^{6n}$ is divisible by $13$ $128$ $549$ None of these
go_editor
asked
in
Quantitative Aptitude
Mar 2, 2016
by
go_editor
13.8k
points
291
views
cat2002
quantitative-aptitude
number-systems
1
vote
0
answers
96
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 $27$ $4$ $5$ $9$
go_editor
asked
in
Quantitative Aptitude
Mar 1, 2016
by
go_editor
13.8k
points
314
views
cat2002
quantitative-aptitude
number-systems
1
vote
1
answer
97
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 $32$ $54$ $64$ $52$
go_editor
asked
in
Quantitative Aptitude
Mar 1, 2016
by
go_editor
13.8k
points
613
views
cat2002
quantitative-aptitude
number-systems
0
votes
3
answers
98
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
go_editor
asked
in
Quantitative Aptitude
Mar 1, 2016
by
go_editor
13.8k
points
977
views
cat2002
quantitative-aptitude
number-systems
0
votes
0
answers
99
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 $32$ $28$ $29$ $30$
go_editor
asked
in
Quantitative Aptitude
Feb 10, 2016
by
go_editor
13.8k
points
368
views
cat2003-1
quantitative-aptitude
number-systems
0
votes
0
answers
100
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 $5$ $7$ $13$ $14$
go_editor
asked
in
Quantitative Aptitude
Feb 10, 2016
by
go_editor
13.8k
points
351
views
cat2003-1
quantitative-aptitude
number-systems
0
votes
0
answers
101
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 $12$ $11$ $10$ $9$
go_editor
asked
in
Quantitative Aptitude
Feb 10, 2016
by
go_editor
13.8k
points
339
views
cat2003-1
quantitative-aptitude
number-systems
0
votes
0
answers
102
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
go_editor
asked
in
Quantitative Aptitude
Feb 10, 2016
by
go_editor
13.8k
points
297
views
cat2003-1
quantitative-aptitude
number-systems
0
votes
0
answers
103
CAT 2003 | Question: 1-119
A positive whole number $\text{M}$ less than $100$ is represented in base $2$ notation, in base $3$ notation, and base $5$ notation. It is found that in all three cases the last digit is $1,$ while in exactly two out of three cases the leading digit is $1.$ Then $\text{M}$ equals $31$ $63$ $75$ $91$
go_editor
asked
in
Quantitative Aptitude
Feb 7, 2016
by
go_editor
13.8k
points
408
views
cat2003-1
quantitative-aptitude
number-systems
0
votes
0
answers
104
CAT 2003 | Question: 1-118
How many even integers $n,$ where $100 \leq n \leq 200$, are divisible neither by $7$ nor by $9?$ $40$ $37$ $39$ $38$
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asked
in
Quantitative Aptitude
Feb 7, 2016
by
go_editor
13.8k
points
324
views
cat2003-1
quantitative-aptitude
number-systems
0
votes
0
answers
105
CAT 2003 | Question: 1-114
A test has $50$ questions. A student scores $1$ mark for the correct answer, $-1/3$ for a wrong answer and $-1/6$ for not attempting the question. If the net score of the student is $32,$ the number of questions answered wrongly by that student cannot be less than $6$ $12$ $3$ $9$
go_editor
asked
in
Quantitative Aptitude
Feb 7, 2016
by
go_editor
13.8k
points
398
views
cat2003-1
quantitative-aptitude
number-systems
0
votes
1
answer
106
CAT 2003 | Question: 1-101
Answer the question on the basis of the information given below: A certain perfume is available at a duty-free shop at the Bangkok international airport. It is priced in the Thai currency Baht but other currencies are also acceptable. In particular, the shop accepts Euro ... remaining amount in US Dollars. How much does R owe to S in That Bahts? $428$ $416$ $334$ $324$
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asked
in
Quantitative Aptitude
Feb 5, 2016
by
go_editor
13.8k
points
2.5k
views
cat2003-1
quantitative-aptitude
number-systems
0
votes
0
answers
107
CAT 2014 | Question: 48
The price of Coffee (in rupees per kilogram) is $100 + 0.10n$, on the $n$th day of $2007 \;(n = 1, 2,\dots, 100)$, and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is $89 + 0.15n$, on the $n$th day of ... date in $2007$ will the prices of coffee and tea be equal? $\text{May 21}$ $\text{April 11}$ $\text{May 20}$ $\text{April 10}$
makhdoom ghaya
asked
in
Quantitative Aptitude
Jan 17, 2016
by
makhdoom ghaya
8.1k
points
433
views
cat2014
quantitative-aptitude
number-systems
0
votes
1
answer
108
CAT 2014 | Question: 47
Consider four-digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares? $3$ $2$ $4$ $1$
makhdoom ghaya
asked
in
Quantitative Aptitude
Jan 17, 2016
by
makhdoom ghaya
8.1k
points
461
views
cat2014
quantitative-aptitude
number-systems
0
votes
0
answers
109
CAT 2014 | Question: 44
John bought five toffees and ten chocolates together for forty rupees. Subsequently, he returned one toffee and got two chocolates in exchange. The price of an chocolate would be $1$ $2$ $3$ $4$
makhdoom ghaya
asked
in
Quantitative Aptitude
Jan 17, 2016
by
makhdoom ghaya
8.1k
points
631
views
cat2014
quantitative-aptitude
number-systems
0
votes
0
answers
110
CAT 2004 | Question: 67
The remainder, when $(15^{23} + 23^{23})$ is divided by $19,$ is $4$ $15$ $0$ $18$
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asked
in
Quantitative Aptitude
Jan 13, 2016
by
go_editor
13.8k
points
377
views
cat2004
quantitative-aptitude
number-systems
0
votes
1
answer
111
CAT 2004 | Question: 53
Each family in a locality has at most two adults, and no family has fewer than three children. Considering all the families together, there are more adults than boys, more boys than girls, and more girls than families. Then the minimum possible number of family in the locality is $4$ $5$ $2$ $3$
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asked
in
Quantitative Aptitude
Jan 12, 2016
by
go_editor
13.8k
points
1.4k
views
cat2004
quantitative-aptitude
number-systems
0
votes
1
answer
112
CAT 2004 | Question: 48
Suppose $n$ is an integer such that the sum of the digits of $n$ is $2,$ and $10^{10} < n < 10^{11}$. The number of different values for $n$ is $11$ $10$ $9$ $8$
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asked
in
Quantitative Aptitude
Jan 12, 2016
by
go_editor
13.8k
points
1.9k
views
cat2004
quantitative-aptitude
number-systems
0
votes
1
answer
113
CAT 2004 | Question: 45
On January $1\; 2004,$ two new societies, $\text{S}_1$ and $\text{S}_2$ are formed, each with $n$ members. On the first day of each subsequent month, $\text{S}_1$ adds $b$ members and $\text{S}_2$ multiplies its current number of members by a constant factor $r.$ Both societies ... members on July $2,\; 2004.$ If $b=10.5n,$ what is the value of $r?$ $2.0$ $1.9$ $1.8$ $1.7$
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asked
in
Quantitative Aptitude
Jan 12, 2016
by
go_editor
13.8k
points
1.4k
views
cat2004
quantitative-aptitude
number-systems
0
votes
1
answer
114
CAT 2004 | Question: 42
$\text{N}$ persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two minute song one pair after the other. If the total time taken for singing is $28$ minutes then what is $\text{N}?$ $5$ $7$ $9$ None of these
go_editor
asked
in
Quantitative Aptitude
Jan 12, 2016
by
go_editor
13.8k
points
895
views
cat2004
quantitative-aptitude
number-systems
0
votes
1
answer
115
CAT 2005 | Question: 29
Three Englishmen and three Frenchmen work for the same company. Each of them knows a secret not known to others. They need to exchange these secrets over person-to- person phone calls so that eventually each person knows all six secrets. None of the Frenchmen knows ... knows French. what is the minimum number of phone calls needed for the above purpose? $5$ $10$ $9$ $15$
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asked
in
Quantitative Aptitude
Dec 29, 2015
by
go_editor
13.8k
points
888
views
cat2005
quantitative-aptitude
number-systems
0
votes
0
answers
116
CAT 2005 | Question: 25
Let $\text{S}$ be a positive integer such that every element $n$ of $\text{S}$ satisfies the conditions $1000 \leq n \leq 1200$ every digit in $n$ is odd Then how many elements of $\text{S}$ are divisible by $3?$ $9$ $10$ $11$ $12$
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asked
in
Quantitative Aptitude
Dec 29, 2015
by
go_editor
13.8k
points
266
views
cat2005
quantitative-aptitude
number-systems
0
votes
1
answer
117
CAT 2005 | Question: 19
For a positive integer $n$, let $\text{P}_n$ denote product of the digits of $n$ and $\text{S}_n$ denote the sum of the digits of $n$ The number of integers between $10$ and $1000$ for which $\text{P}_n + \text{S}_n = n$ is $81$ $16$ $18$ $9$
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asked
in
Quantitative Aptitude
Dec 29, 2015
by
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13.8k
points
586
views
cat2005
quantitative-aptitude
number-systems
1
vote
1
answer
118
CAT 2005 | Question: 16
The rightmost non-zero digit of the number $30^{2720}$ is ______ $1$ $3$ $7$ $9$
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asked
in
Quantitative Aptitude
Dec 29, 2015
by
go_editor
13.8k
points
561
views
cat2005
quantitative-aptitude
number-systems
0
votes
1
answer
119
CAT 2005 | Question: 13
The digits of a three digit number $\text{A}$ are written in the reverse order to form another three digit number $\text{B}.$ If $\text{B}$ is greater than $\text{A}$ and $\text{B-A}$ is perfectly divisible by $7,$ then which of the following is necessarily true? $100 <\text{A}< 299$ $106 <\text{A}< 305$ $112 <\text{A}< 311$ $118 <\text{A}< 317$
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asked
in
Quantitative Aptitude
Dec 29, 2015
by
go_editor
13.8k
points
675
views
cat2005
quantitative-aptitude
number-systems
0
votes
0
answers
120
CAT 2005 | Question: 11
Let $n! = 1 \times 2 \times 3 \times \dots \times n$ for integer $n \geq 1$. If $p = 1! (2 \times 2!) + (3 \times 3!) + \dots + (10 \times 10!)$, then $p+2$ when divided by $11!$ leaves a remainder of $10$ $0$ $7$ $1$
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asked
in
Quantitative Aptitude
Dec 29, 2015
by
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13.8k
points
321
views
cat2005
quantitative-aptitude
number-systems
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