Register

Recent questions tagged number-systems

1 votes
1 answer
41
CAT 2015 | Question: 97
When you reverse the digits of the number $13$, the number increases by $18$. How many other two digit numbers increase by $18$ when their digits reversed ___________
When you reverse the digits of the number $13$, the number increases by $18$. How many other two digit numbers increase by $18$ when their digits reversed ___________
0 votes
0 answers
43
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
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
2 votes
1 answer
45
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 $-20$ $-12$ $-24$ $-16$
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$$-16$
2 votes
1 answer
46
CAT 2019 Set-1 | Question: 100
The product of two positive numbers is $616$. If the ratio of the difference of their cubes to the cube of their difference is $157:3$, then the sum of the two numbers is $58$ $50$ $95$ $85$
The product of two positive numbers is $616$. If the ratio of the difference of their cubes to the cube of their difference is $157:3$, then the sum of the two numbers i...
0 votes
0 answers
52
CAT 2012 | Question: 29
A student is asked to form numbers between $3000$ and $9000$ with digits $2,3,5,7$ and $9$. If no digit is to be repeated, in how many ways can the student do so? $24$ $120$ $60$ $72$
A student is asked to form numbers between $3000$ and $9000$ with digits $2,3,5,7$ and $9$. If no digit is to be repeated, in how many ways can the student do so?$24$$12...
0 votes
0 answers
54
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 $x> 0$
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?YesNoWill have real roots f...
3 votes
0 answers
55
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
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...
0 votes
0 answers
56
CAT 2012 | Question: 9
$p$ is a prime and $m$ is a positive integer. How many solutions exist for the equation $p^{6}-p= (m^{2}+m+6)(p-1)$? $0$ $1$ $2$ $\text{Infinite}$
$p$ 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$$\text{Infinite}$
1 votes
1 answer
57
CAT 2012 | Question: 6
Find the remainder of $2^{1040}$ divided by $131$. $1$ $3$ $5$ $7$
Find the remainder of $2^{1040}$ divided by $131$.$1$$3$$5$$7$
1 votes
1 answer
58
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? $2^{\frac{1}{3}} \\$ $3^{\frac{1}{4}} \\$ $4^{\frac{1}{6}} \\$ $10^{\frac{1}{12}}$
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^{\f...
1 votes
1 answer
59
CAT 2012 | Question: 3
What is the sum of all the $2$-digit numbers which leave a remainder of $6$ when divided by $8$? $612$ $594$ $324$ $872$
What is the sum of all the $2$-digit numbers which leave a remainder of $6$ when divided by $8$?$612$$594$$324$$872$
1 votes
1 answer
60
CAT 2012 | Question: 2
Let $\text{P} = \{2,3,4,\ldots 100\}$ and $\text{Q}= \{101,102,103,\ldots 200\}.$ How many elements of $\text{Q}$ are there such that they do not have any element of $\text{P}$ as a factor? $20$ $24$ $23$ $21$
Let $\text{P} = \{2,3,4,\ldots 100\}$ and $\text{Q}= \{101,102,103,\ldots 200\}.$ How many elements of $\text{Q}$ are there such that they do not have any element of $\te...
1 votes
1 answer
61
CAT 2010 | Question: 3
$\text{P, Q and R}$ are three consecutive odd numbers in ascending order. If the value of three times $\text{P}$ is three less than two times $\text{R}$, find the value of $\text{R}$. $5$ $7$ $9$ $11$
$\text{P, Q and R}$ are three consecutive odd numbers in ascending order. If the value of three times $\text{P}$ is three less than two times $\text{R}$, find the value o...
1 votes
1 answer
63
IBPS
A school has $378$ girls students and $675$ boy students. The school is divided into strictly boys or strictly girls sections and all sections in the school have the same number of students. Find the number of sections in the school. $39$ $14$ $25$ $27$
A school has $378$ girls students and $675$ boy students. The school is divided into strictly boys or strictly girls sections and all sections in the school have the same...
1 votes
1 answer
66
CAT 2003 | Question: 2-94
What is the sum of all two-digit numbers that give a remainder of $3$ when they are divided by $7?$ $666$ $676$ $683$ $777$
What is the sum of all two-digit numbers that give a remainder of $3$ when they are divided by $7?$$666$$676$$683$$777$
0 votes
1 answer
67
CAT 2003 | Question: 2-77
What is the remainder when $4^{96}$ is divided by $6?$ $0$ $2$ $3$ $4$
What is the remainder when $4^{96}$ is divided by $6?$ $0$$2$$3$$4$
0 votes
0 answers
73
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
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_...
2 votes
1 answer
74
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 ...
1 votes
1 answer
76
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
77
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
79
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$
0 votes
1 answer
80
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? $1050$ $540$ $1440$ $1590$
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?$105...
Page: