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Recent questions tagged number-systems
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41
CAT 2011 | Question: 6
Vaibhav wrote a certain number of positive prime numbers on a piece of paper. Vikram wrote down the product of all the possible triplets among those numbers. For every pair of numbers written by Vikram, Vishal wrote down the corresponding $\text{GCD}.$ If $90$ of the numbers written by Vishal were prime, how many numbers did Vaibhav write? $6$ $8$ $10$ Cannot be determined
Krithiga2101
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in
Quantitative Aptitude
Mar 9, 2020
by
Krithiga2101
268
points
398
views
cat2011
quantitative-aptitude
number-systems
0
votes
0
answers
42
CAT 2011 | Question: 1
The values of the numbers $2^{2004}\:\text{and}\:5^{2004}$ are written one after another. How many digits are there in all? $4008$ $2003$ $2004$ None of these
Krithiga2101
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in
Quantitative Aptitude
Mar 9, 2020
by
Krithiga2101
268
points
940
views
cat2011
quantitative-aptitude
number-systems
0
votes
0
answers
43
CAT 2011 | Question: 13
Auto fare in Bombay is $₹\:2.40$ for the first $1\:\text{km}$,$₹\:2.00$ per km for the next $4\:\text{km}$ and $1.20$ for each additional km thereafter. Find the fare in rupees for $k\:\text{km}(k\geq5)$. $2.4k+1.2(2k-3)$ $10.4+1.2(k-5)$ $2.4+2(k-3)+1.2(k-5)$ $10.4+1.2(k-4)$
Krithiga2101
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in
Quantitative Aptitude
Mar 9, 2020
by
Krithiga2101
268
points
186
views
cat2011
quantitative-aptitude
number-systems
2
votes
1
answer
44
CAT 2019 Set-1 | Question: 67
If $m$ and $n$ are integers such that $(\sqrt{2})^{19}3^{4}4^{2}9^{m}8^{n}=3^{n}16^{m}(\sqrt[4]{64})$ then $m$ is $-20$ $-12$ $-24$ $-16$
go_editor
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in
Quantitative Aptitude
Mar 8, 2020
by
go_editor
13.4k
points
405
views
cat2019-1
quantitative-aptitude
number-systems
2
votes
1
answer
45
CAT 2019 Set-1 | Question: 100
The product of two positive numbers is $616$. If the ratio of the difference of their cubes to the cube of their difference is $157:3$, then the sum of the two numbers is $58$ $50$ $95$ $85$
go_editor
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in
Quantitative Aptitude
Mar 8, 2020
by
go_editor
13.4k
points
541
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cat2019-1
quantitative-aptitude
number-systems
0
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0
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46
CAT 2013 | Question: 2
Functions $g$ and $h$ are defined on $n$ constants, $a_0,a_1,a_2,a_3,...a_{n−1}$, as follows: $g(a_p,a_q)=a\mid p−q\mid$, if $\mid p-q \mid\leq(n-4) =a_n−\mid p−q\mid$, if $\mid p-q\mid>(n-4) h (a_p,a_q)=a_k$, where $k$ is the remainder when $p+q$ is divided by ... $1\leq m < n$ and $0 \leq k < n$, and $m$ is a natural number, find $k$. $0$ $1$ $n-1$ $n-2$
admin
asked
in
Quantitative Aptitude
Mar 6, 2020
by
admin
2.4k
points
291
views
cat2013
quantitative-aptitude
number-systems
0
votes
0
answers
47
CAT 2013 | Question: 1
Functions $g$ and $h$ are defined on $n$ constants, $a_0,a_1,a_2,a_3,...a_{n−1}$, as follows: $g(a_p,a_q)=a\mid p−q\mid$, if $\mid p-q \mid\leq(n-4) =a_n−\mid p−q\mid$, if $\mid p-q\mid>(n-4) h (a_p,a_q)=a_k$, where $k$ is the remainder when $p+q$ is divided by $n$. If $n=10$, find the value of $g(g(a_2,a_8),g(a_1,a_7))$, $a_9$ $a_7$ $a_2$ $a_0$
admin
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in
Quantitative Aptitude
Mar 6, 2020
by
admin
2.4k
points
286
views
cat2013
quantitative-aptitude
number-systems
0
votes
0
answers
48
CAT 2013 | Question: 5
There are five cards lying on a table in one row. Five numbers from among $1$ to $100$ have to be written on them, one number per card, such that the difference between the numbers on any two adjacent cards is not divisible by $4$. The remainder when each ofthe five numbers is ... . How many sequences can be written down on the sixth card? $2^23^3$ $4(3)^4$ $4^23^3$ $4^23^4$
admin
asked
in
Quantitative Aptitude
Mar 6, 2020
by
admin
2.4k
points
355
views
cat2013
quantitative-aptitude
number-systems
8
votes
0
answers
49
CAT 2013 | Question: 4
Let $\text{P, Q, S, R, T, U}$ and $\text{V}$ represent the seven distinct digits from $0$ to $6$, not necessarily in that order. If $\text{PQ}$ and $\text{RS}$ are both two-digit numbers adding up to the three-digit number $\text{TUV}$, find the value of $\text{V}$. $3$ $6$ $5$ Cannot be determined
admin
asked
in
Quantitative Aptitude
Mar 6, 2020
by
admin
2.4k
points
3.9k
views
cat2013
quantitative-aptitude
number-systems
0
votes
0
answers
50
CAT 2013 | Question: 11
Sujith looked at the six-digit number on his CAT admit card and said "If I multiply the first two digits with three, I get all ones. If I multiply the next two digits with six, I get all twos. If I multiply the last two digits $9$, I get all threes”. What is the sum of the digits of the number on Sujith's admit card? $30$ $33$ $60$ $45$
admin
asked
in
Quantitative Aptitude
Mar 6, 2020
by
admin
2.4k
points
315
views
cat2013
quantitative-aptitude
number-systems
0
votes
0
answers
51
CAT 2012 | Question: 29
A student is asked to form numbers between $3000$ and $9000$ with digits $2,3,5,7$ and $9$. If no digit is to be repeated, in how many ways can the student do so? $24$ $120$ $60$ $72$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
335
views
cat2012
quantitative-aptitude
number-systems
0
votes
0
answers
52
CAT 2012 | Question: 28
When asked for his taxi number, the driver replied, “If you divide the number of my taxi by $2,3,4,5,6$ each time you will find a reminder of one. But, if you divide it by $11$, the remainder is zero.You will also not find any other driver with a taxi having a lower number who can say the same”. What is the taxi number? $121$ $1001$ $1881$ $781$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
641
views
cat2012
quantitative-aptitude
number-systems
0
votes
0
answers
53
CAT 2012 | Question: 12
If $x$ is a real number, $[x]$ is greatest integer less than or equal to $x$, then $3[x]+2-[x]= 0$. Will the above equation have any real root? Yes No Will have real roots for $x< 0$ Will have real roots for $x> 0$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
111
views
cat2012
quantitative-aptitude
number-systems
2
votes
0
answers
54
CAT 2012 | Question: 10
A certain number written in a certain base is $144$. Which of the following is always true? Square root of the number written in the same base is $12$. If base is increased by $2$, the number becomes $100$. Only I Only II Neither I nor II Both I and II
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
750
views
cat2012
quantitative-aptitude
number-systems
0
votes
0
answers
55
CAT 2012 | Question: 9
$p$ is a prime and $m$ is a positive integer. How many solutions exist for the equation $p^{6}-p= (m^{2}+m+6)(p-1)$? $0$ $1$ $2$ $\text{Infinite}$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
124
views
cat2012
quantitative-aptitude
number-systems
1
vote
1
answer
56
CAT 2012 | Question: 6
Find the remainder of $2^{1040}$ divided by $131$. $1$ $3$ $5$ $7$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
281
views
cat2012
quantitative-aptitude
number-systems
1
vote
1
answer
57
CAT 2012 | Question: 4
Which of the terms $2^{\frac{1}{3}},3^{\frac{1}{4}},4^{\frac{1}{6}},6^{\frac{1}{8}}$ and $10^{\frac{1}{12}}$ is the largest? $2^{\frac{1}{3}} \\$ $3^{\frac{1}{4}} \\$ $4^{\frac{1}{6}} \\$ $10^{\frac{1}{12}}$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
140
views
cat2012
quantitative-aptitude
number-systems
1
vote
1
answer
58
CAT 2012 | Question: 3
What is the sum of all the $2$-digit numbers which leave a remainder of $6$ when divided by $8$? $612$ $594$ $324$ $872$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
250
views
cat2012
quantitative-aptitude
number-systems
1
vote
1
answer
59
CAT 2012 | Question: 2
Let $\text{P} = \{2,3,4,\ldots 100\}$ and $\text{Q}= \{101,102,103,\ldots 200\}.$ How many elements of $\text{Q}$ are there such that they do not have any element of $\text{P}$ as a factor? $20$ $24$ $23$ $21$
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
714
views
cat2012
quantitative-aptitude
number-systems
1
vote
1
answer
60
CAT 2010 | Question: 3
$\text{P, Q and R}$ are three consecutive odd numbers in ascending order. If the value of three times $\text{P}$ is three less than two times $\text{R}$, find the value of $\text{R}$. $5$ $7$ $9$ $11$
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
289
views
cat2010
quantitative-aptitude
number-systems
0
votes
0
answers
61
CAT 2010 | Question: 2
Let $\text{S}$ be the set of rational numbers with the following properties: $\frac{1}{2}\in \text{S}$ If $x\in \text{S}$ then both $\frac{1}{x+1}\in \text{S}$ and $\frac{x}{x+1}\in \text{S}$ ... all rational numbers in the interval $-1 < x < 0$. $\text{S}$ contains all rational numbers in the interval $1 < x <\infty$.
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
304
views
cat2010
quantitative-aptitude
number-systems
1
vote
1
answer
62
IBPS
A school has $378$ girls students and $675$ boy students. The school is divided into strictly boys or strictly girls sections and all sections in the school have the same number of students. Find the number of sections in the school. $39$ $14$ $25$ $27$
Sanjay Sharma
asked
in
Quantitative Aptitude
Oct 6, 2016
by
Sanjay Sharma
74
points
347
views
quantitative-aptitude
number-systems
0
votes
1
answer
63
CAT 2003 | Question: 2-99
Answer the questions on the basis of the information given below. The seven basic symbols in a certain numeral system and their respective values are as follows: $\text{I} = 1, \text{V} = 5, \text{X} = 10, \text{L} = 50, \text{C} = 100, \text{D} = 500,$ ... $\text{MCMXCIX}$ is $1999$ $1899$ $1989$ $1889$
go_editor
asked
in
Quantitative Aptitude
May 5, 2016
by
go_editor
13.4k
points
743
views
cat2003-2
quantitative-aptitude
number-systems
0
votes
1
answer
64
CAT 2003 | Question: 2-98
Answer the questions on the basis of the information given below. The seven basic symbols in a certain numeral system and their respective values are as follows: $\text{I} = 1, \text{V} = 5, \text{X} = 10, \text{L} = 50, \text{C} = 100, \text{D} = 500,$ ... $\text{MDCCLXXXVII}$ is $1687$ $1787$ $1887$ $1987$
go_editor
asked
in
Quantitative Aptitude
May 5, 2016
by
go_editor
13.4k
points
405
views
cat2003-2
quantitative-aptitude
number-systems
0
votes
1
answer
65
CAT 2003 | Question: 2-94
What is the sum of all two-digit numbers that give a remainder of $3$ when they are divided by $7?$ $666$ $676$ $683$ $777$
go_editor
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in
Quantitative Aptitude
May 5, 2016
by
go_editor
13.4k
points
287
views
cat2003-2
quantitative-aptitude
number-systems
0
votes
1
answer
66
CAT 2003 | Question: 2-77
What is the remainder when $4^{96}$ is divided by $6?$ $0$ $2$ $3$ $4$
go_editor
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in
Quantitative Aptitude
May 5, 2016
by
go_editor
13.4k
points
309
views
cat2003-2
quantitative-aptitude
number-systems
0
votes
0
answers
67
CAT 2003 | Question: 2-61
Let $n (>1)$ be a composite integer such that $\sqrt{n}$ is not an integer. Consider the following statements $n$ has a perfect integer-valued divisor which is greater than $1$ and less than $\sqrt{n}$. $n$ has a perfect integer-valued divisor which is greater ... Then, Both A and B are false A is true but B is false A is false but B is true Both A and B are true
go_editor
asked
in
Quantitative Aptitude
May 4, 2016
by
go_editor
13.4k
points
160
views
cat2003-2
quantitative-aptitude
number-systems
0
votes
2
answers
68
CAT 2003 | Question: 2-52
In a coastal village, every year floods destroy exactly half of the huts. After the flood water recedes, twice the number of huts destroyed are rebuilt. The floods occurred consecutively in the last three years namely $2001, 2002$ and $2003.$ If floods are again ... destroyed by floods in $2002$ and $2003.$ More than the total number of huts built in $2001$ and $2002.$
go_editor
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in
Quantitative Aptitude
May 4, 2016
by
go_editor
13.4k
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3.0k
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cat2003-2
quantitative-aptitude
number-systems
0
votes
0
answers
69
CAT 2007 | Question: 15
Directions for the below question: Let $a_1=p$ and $b_1 =q$ where $p$ and $q$ are positive quantities. Define: $a_n pb_{n-1} \: \: \: b_n=qb_{n-1}$ for even $n>1$ and $a_n pa_{n-1} \: \: \: b_n=qa_{n-1}$ for odd $n>1$ If $p=1/3$ and $q= 2/3,$ then what is the smallest odd $n$ such that $a_n + b_n < 0.01$? $7$ $13$ $11$ $9$ $15$
go_editor
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in
Quantitative Aptitude
May 3, 2016
by
go_editor
13.4k
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237
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cat2007
quantitative-aptitude
number-systems
0
votes
0
answers
70
CAT 2006 | Question: 68
The below question are based on the information given below: An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg. Two passengers, Raja and Praja have $60$ kg of luggage between them, and are charged Rs. $1200$ and Rs. $2400$ ... have been Rs. $5400.$ What is the free luggage allowance $10$ kg $15$ kg $20$ kg $25$ kg $30$ kg
go_editor
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in
Quantitative Aptitude
May 3, 2016
by
go_editor
13.4k
points
522
views
cat2006
quantitative-aptitude
number-systems
0
votes
1
answer
71
CAT 2003 | Question: 1-102
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 and US ... the remaining amount in US Dollars. How much does M owe to S in US Dollars? $3$ $4$ $5$ $6$
go_editor
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in
Quantitative Aptitude
May 3, 2016
by
go_editor
13.4k
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1.2k
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cat2003-1
quantitative-aptitude
number-systems
0
votes
0
answers
72
CAT 2002 | Question: 90
The $n$th element of a series is represented as $X_n = (-1)^n x_{n-1}$ If $X_0 =x$ and $x>0$, then which of the following is always true? $X_n$ is positive if $n$ is even $X_n$ is positive if $n$ is odd $X_n$ is negative if $n$ is even None of these
go_editor
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in
Quantitative Aptitude
May 2, 2016
by
go_editor
13.4k
points
397
views
cat2002
quantitative-aptitude
number-systems
0
votes
1
answer
73
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
go_editor
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in
Quantitative Aptitude
Apr 1, 2016
by
go_editor
13.4k
points
385
views
cat2001
quantitative-aptitude
number-systems
0
votes
1
answer
74
CAT 2001 | Question: 44
In some code, letters, $a, b, c, d$ and $e$ represent numbers $2, 4, 5, 6$ and $10.$ However, we don't know which letter represent which number. Consider the following relationships: $a + c = e$ $b – d = d$ $e + a = b$ $b = 4, d = 2$ $a = 4, e = 6$ $b = 6, e = 2$ $a = 4, c = 6$
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Quantitative Aptitude
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13.4k
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283
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cat2001
quantitative-aptitude
number-systems
1
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1
answer
75
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
go_editor
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in
Quantitative Aptitude
Mar 31, 2016
by
go_editor
13.4k
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4.0k
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cat2001
quantitative-aptitude
number-systems
0
votes
1
answer
76
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? $44$ $45$ $10$ $12$
go_editor
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in
Quantitative Aptitude
Mar 31, 2016
by
go_editor
13.4k
points
431
views
cat2001
quantitative-aptitude
number-systems
2
votes
2
answers
77
CAT 2001 | Question: 21
Every ten years the Indian government counts all the people living in the country. Suppose that the director of the census has reported the following data on two neighbouring villages Chota hazri and Mota hazri: Chota hazri has $4,522$ fewer males than Mota hazri ... females than Mota hazri. What is the total number of males in Chota hazri? $11264$ $14174$ $5632$ $10154$
go_editor
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in
Quantitative Aptitude
Mar 31, 2016
by
go_editor
13.4k
points
1.5k
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cat2001
quantitative-aptitude
number-systems
0
votes
0
answers
78
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 $406$ $1086$ $213$ $691$
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Quantitative Aptitude
Mar 31, 2016
by
go_editor
13.4k
points
179
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cat2001
quantitative-aptitude
number-systems
0
votes
1
answer
79
CAT 2001 | Question: 12
Anita had to do a multiplication. Instead of taking $35$ as one of the multipliers, she took $53.$ As a result, the product went up by $540.$ What is the new product? $1050$ $540$ $1440$ $1590$
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Quantitative Aptitude
Mar 31, 2016
by
go_editor
13.4k
points
365
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cat2001
quantitative-aptitude
number-systems
0
votes
0
answers
80
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? $5$ $8$ $1$ $4$
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Quantitative Aptitude
Mar 31, 2016
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139
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cat2001
quantitative-aptitude
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