Recent questions tagged number-systems

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CAT 2021 Set-3 | Quantitative Aptitude | Question: 7
A shop owner bought a total of $64$ shirts from a wholesale market that came in two sizes, small and large. The price of a small shirt was $\text{INR} \; 50$ less than that of a large shirt. She paid a total of $\text{INR} \; 5000$ for ... . Then, the price of a large shirt and a small shirt together, in $\text{INR},$ is $200$ $175$ $150$ $225$

A shop owner bought a total of $64$ shirts from a wholesale market that came in two sizes, small and large. The price of a small shirt was $\text{INR} \; 50$ less than that of a large shirt. She paid a total of $\text{INR} \; 5000$ for the large shirts, and a total of ... for the small shirts. Then, the price of a large shirt and a small shirt together, in $\text{INR},$ is $200$ $175$ $150$ $225$

asked Jan 20 in Quantitative Aptitude soujanyareddy13 2.7k points 58 views

1 vote

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CAT 2021 Set-3 | Quantitative Aptitude | Question: 18
If $n$ is a positive integer such that $( \sqrt[7]{10}) ( \sqrt[7]{10})^{2} \dots ( \sqrt[7]{10})^{n} > 999,$ then the smallest value of $n$ is

If $n$ is a positive integer such that $( \sqrt[7]{10}) ( \sqrt[7]{10})^{2} \dots ( \sqrt[7]{10})^{n} > 999,$ then the smallest value of $n$ is

asked Jan 20 in Quantitative Aptitude soujanyareddy13 2.7k points 46 views

1 vote

1 answer

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CAT 2021 Set-2 | Quantitative Aptitude | Question: 22
For a $4$-digit number, the sum of its digits in the thousands, hundreds and tens places is $14,$ the sum of its digits in the hundreds, tens and units places is $15,$ and the tens place digit is $4$ more than the units place digit. Then the highest possible $4$-digit number satisfying the above conditions is

For a $4$-digit number, the sum of its digits in the thousands, hundreds and tens places is $14,$ the sum of its digits in the hundreds, tens and units places is $15,$ and the tens place digit is $4$ more than the units place digit. Then the highest possible $4$-digit number satisfying the above conditions is

asked Jan 20 in Quantitative Aptitude soujanyareddy13 2.7k points 59 views

1 vote

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CAT 2021 Set-1 | Quantitative Aptitude | Question: 1
How many three-digit numbers are greater than $100$ and increase by $198$ when the three digits are arranged in the reverse order?

How many three-digit numbers are greater than $100$ and increase by $198$ when the three digits are arranged in the reverse order?

asked Jan 19 in Quantitative Aptitude soujanyareddy13 2.7k points 98 views

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1 answer

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CAT 2021 Set-1 | Quantitative Aptitude | Question: 3
The natural numbers are divided into groups as $(1), (2,3,4), (5,6,7,8,9), \dots $ and so on. Then, the sum of the numbers in the $15 \text{th}$ group is equal to $6090$ $4941$ $6119$ $7471$

The natural numbers are divided into groups as $(1), (2,3,4), (5,6,7,8,9), \dots $ and so on. Then, the sum of the numbers in the $15 \text{th}$ group is equal to $6090$ $4941$ $6119$ $7471$

asked Jan 19 in Quantitative Aptitude soujanyareddy13 2.7k points 96 views

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CAT 2020 Set-3 | Question: 66
How many integers in the set $\{ 100, 101, 102, \dots, 999\}$ have at least one digit repeated $?$

How many integers in the set $\{ 100, 101, 102, \dots, 999\}$ have at least one digit repeated $?$

asked Sep 17, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 57 views

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CAT 2020 Set-3 | Question: 67
Let $\text{N}, x$ and $y$ be positive integers such that $N = x + y, 2 < x < 10$ and $14 < y < 23.$ If $\text{N} > 25,$ then how many distinct values are possible for $\text{N} ?$

Let $\text{N}, x$ and $y$ be positive integers such that $N = x + y, 2 < x < 10$ and $14 < y < 23.$ If $\text{N} > 25,$ then how many distinct values are possible for $\text{N} ?$

asked Sep 17, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 44 views

2 votes

1 answer

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CAT 2020 Set-3 | Question: 71
How many of the integers $1,2, \dots, 120,$ are divisible by none of $2,5$ and $7 ?$ $40$ $42$ $43$ $41$

How many of the integers $1,2, \dots, 120,$ are divisible by none of $2,5$ and $7 ?$ $40$ $42$ $43$ $41$

asked Sep 17, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 116 views

2 votes

1 answer

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CAT 2020 Set-2 | Question: 67
If $\textsf{x}$ and $\textsf{y}$ are non-negative integers such that $\textsf{x+9=z, y+1=z}$ and $\textsf{x+y<z+5},$ then the maximum possible value of $\textsf{2x+y}$ equals

If $\textsf{x}$ and $\textsf{y}$ are non-negative integers such that $\textsf{x+9=z, y+1=z}$ and $\textsf{x+y<z+5},$ then the maximum possible value of $\textsf{2x+y}$ equals

asked Sep 17, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 91 views

1 vote

1 answer

10

CAT 2020 Set-1 | Question: 63
Among $100$ students, $x_{1}$ have birthdays in January, $x_{2}$ have birthdays in February, and so on. If $x_{0}= \text{max}\left ( x_{1},x_{2},\dots,x_{12} \right ),$ then the smallest possible value of $x_{0}$ is $9$ $10$ $8$ $12$

Among $100$ students, $x_{1}$ have birthdays in January, $x_{2}$ have birthdays in February, and so on. If $x_{0}= \text{max}\left ( x_{1},x_{2},\dots,x_{12} \right ),$ then the smallest possible value of $x_{0}$ is $9$ $10$ $8$ $12$

asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 105 views

1 vote

2 answers

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NIELIT 2019 Feb Scientist D - Section D: 5
How many pair of natural numbers are there, the differences of whose squares is $45$ ? $1$ $2$ $3$ $4$

How many pair of natural numbers are there, the differences of whose squares is $45$ ? $1$ $2$ $3$ $4$

asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 10.7k points 325 views

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NIELIT 2019 Feb Scientist D - Section C: 6
A certain number consists of two digits whose sum is $9$. It the order of digits is reversed, the new number is $9$ less than the original number. The original number is : $45$ $36$ $54$ $63$

A certain number consists of two digits whose sum is $9$. It the order of digits is reversed, the new number is $9$ less than the original number. The original number is : $45$ $36$ $54$ $63$

asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 10.7k points 205 views

1 vote

1 answer

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NIELIT 2019 Feb Scientist D - Section C: 28
A two digit number is such that the product of the digits is $8$. When $18$ is added to the number, the digits are reversed. The number is : $18$ $24$ $81$ $42$

A two digit number is such that the product of the digits is $8$. When $18$ is added to the number, the digits are reversed. The number is : $18$ $24$ $81$ $42$

asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 10.7k points 274 views

0 votes

0 answers

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NIELIT 2019 Feb Scientist C - Section D: 21
Find the number of numbers between $300$ to $400$ (both included) that are not divisible by $2,3,4$ and $5$ $50$ $33$ $26$ $17$

Find the number of numbers between $300$ to $400$ (both included) that are not divisible by $2,3,4$ and $5$ $50$ $33$ $26$ $17$

asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 10.7k points 125 views

0 votes

1 answer

15

NIELIT 2017 OCT Scientific Assistant A - Section A: 4
$x$ is a whole number. If the only common factors of $x$ and $x2$ are $1$ and $x,$ then $x$ is ________. $1$ a perfect square an odd number a prime number

$x$ is a whole number. If the only common factors of $x$ and $x2$ are $1$ and $x,$ then $x$ is ________. $1$ a perfect square an odd number a prime number

asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 10.7k points 650 views

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NIELIT 2017 DEC Scientific Assistant A - Section A: 43
The value of $[(10)^{150}\div (10)^{146}]$: $1000$ $10000$ $100000$ $10^{6}$

The value of $[(10)^{150}\div (10)^{146}]$: $1000$ $10000$ $100000$ $10^{6}$

asked Mar 31, 2020 in Quantitative Aptitude Lakshman Patel RJIT 10.7k points 293 views

1 vote

1 answer

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CAT 2019 Set-2 | Question: 70
How many pairs $(m,n)$ of positive integers satisfy the equation $m^{2}+105=n^{2}$ _______

How many pairs $(m,n)$ of positive integers satisfy the equation $m^{2}+105=n^{2}$ _______

asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.3k points 195 views

1 vote

1 answer

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CAT 2019 Set-2 | Question: 77
In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. Then, the largest possible value of the fourth digit is _____

In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. Then, the largest possible value of the fourth digit is _____

asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.3k points 256 views

1 vote

1 answer

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CAT 2019 Set-2 | Question: 85
How many factors $2^{4}\times3^{5}\times10^{4}$ are perfect squares which are greater than $1$ _______

How many factors $2^{4}\times3^{5}\times10^{4}$ are perfect squares which are greater than $1$ _______

asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.3k points 234 views

2 votes

1 answer

20

CAT 2018 Set-2 | Question: 69
The smallest integer $n$ such that $n^{3} - 11n^{2} + 32n - 28 >0$ is

The smallest integer $n$ such that $n^{3} - 11n^{2} + 32n - 28 >0$ is

asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.3k points 302 views

3 votes

1 answer

21

CAT 2018 Set-2 | Question: 68
How many two-digit numbers, with a non-zero digit in the units place, are there which are more than thrice the number formed by interchanging the positions of its digits? $5$ $6$ $8$ $7$

How many two-digit numbers, with a non-zero digit in the units place, are there which are more than thrice the number formed by interchanging the positions of its digits? $5$ $6$ $8$ $7$

asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.3k points 218 views

2 votes

1 answer

22

CAT 2018 Set-2 | Question: 80
Let $t_{1}, t_{2},\dots$ be a real numbers such that $t_{1}+t_{2}+\dots+t_{n}=2n^{2}+9n+13$, for every positive integers $n\geq2$.If $t_{k}=103$ , then $k$ equals

Let $t_{1}, t_{2},\dots$ be a real numbers such that $t_{1}+t_{2}+\dots+t_{n}=2n^{2}+9n+13$, for every positive integers $n\geq2$.If $t_{k}=103$ , then $k$ equals

asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.3k points 211 views

2 votes

1 answer

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CAT 2018 Set-2 | Question: 79
If $\text{N}$ and $x$ are positive integers such that $\text{N}^{\text{N}}=2^{160}$ and $\text{N}^{2} + 2^{\text{N}}$ is an integral multiple of $2^{x}$, then the largest possible $x$ is _______

If $\text{N}$ and $x$ are positive integers such that $\text{N}^{\text{N}}=2^{160}$ and $\text{N}^{2} + 2^{\text{N}}$ is an integral multiple of $2^{x}$, then the largest possible $x$ is _______

asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.3k points 185 views

3 votes

2 answers

24

CAT 2018 Set-2 | Question: 90
If the sum of squares of two numbers is $97$, then which one of the following cannot be their product? $-32$ $48$ $64$ $16$

If the sum of squares of two numbers is $97$, then which one of the following cannot be their product? $-32$ $48$ $64$ $16$

asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.3k points 227 views

1 vote

0 answers

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CAT 2018 Set-2 | Question: 85
If $\text{A}=\left \{6^{2n} - 35n - 1: n=1,2,3 \dots \right \}$ and $\text{B}= \left \{35\left (n - 1 \right ) : n=1,2,3\dots \right \}$ then which of the following is true? Neither every member of $\text{A}$ is in $\text{B}$ nor every member of ... $\text{A}$ Every member of $\text{B}$ is in $\text{A}$ At least one member of $\text{A}$ is not in $\text{B}$

If $\text{A}=\left \{6^{2n} - 35n - 1: n=1,2,3 \dots \right \}$ and $\text{B}= \left \{35\left (n - 1 \right ) : n=1,2,3\dots \right \}$ then which of the following is true? Neither every member of $\text{A}$ is in $\text{B}$ nor every member of $\text{B}$ ... $\text{B}$ is not in $\text{A}$ Every member of $\text{B}$ is in $\text{A}$ At least one member of $\text{A}$ is not in $\text{B}$

asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.3k points 132 views

2 votes

1 answer

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CAT 2018 Set-2 | Question: 92
The smallest integer $n$ for which $4^{n}>17^{19}$ holds, is closest to $33$ $37$ $39$ $35$

The smallest integer $n$ for which $4^{n}>17^{19}$ holds, is closest to $33$ $37$ $39$ $35$

asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.3k points 198 views

2 votes

1 answer

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CAT 2018 Set-1 | Question: 79
While multiplying three real numbers, Ashok took one of the numbers as $73$ instead of $37$. As a result, the product went up by $720$. Then the minimum possible value of the sum of squares of the other two numbers is _________

While multiplying three real numbers, Ashok took one of the numbers as $73$ instead of $37$. As a result, the product went up by $720$. Then the minimum possible value of the sum of squares of the other two numbers is _________

asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.3k points 231 views

2 votes

1 answer

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CAT 2018 Set-1 | Question: 92
The number of integers $x$ such that $0.25 < 2^x < 200$, and $2^x +2$ is perfectly divisible by either $3$ or $4$, is _______

The number of integers $x$ such that $0.25 < 2^x < 200$, and $2^x +2$ is perfectly divisible by either $3$ or $4$, is _______

asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.3k points 205 views

0 votes

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CAT 2017 Set-2 | Question: 67
The numbers $1, 2,\dots$,$9$ are arranged in a $3 \times 3$ square grid in such a way that each number occurs once and the entries along each column, each row, and each of the two diagonals add up to the same value. If the top left and the top right entries of the grid are $6$ and $2$, respectively, then the bottom middle entry is None of the options $1$ $2$ $4$

The numbers $1, 2,\dots$,$9$ are arranged in a $3 \times 3$ square grid in such a way that each number occurs once and the entries along each column, each row, and each of the two diagonals add up to the same value. If the top left and the top right entries of the grid are $6$ and $2$, respectively, then the bottom middle entry is None of the options $1$ $2$ $4$

asked Mar 16, 2020 in Quantitative Aptitude go_editor 13.3k points 186 views

1 vote

1 answer

30

CAT 2017 Set-2 | Question: 87
If the product of three consecutive positive integers is $15600$ then the sum of the squares of these integers is $1777$ $1785$ $1875$ $1877$

If the product of three consecutive positive integers is $15600$ then the sum of the squares of these integers is $1777$ $1785$ $1875$ $1877$

asked Mar 16, 2020 in Quantitative Aptitude go_editor 13.3k points 206 views

1 vote

1 answer

31

CAT 2017 Set-2 | Question: 93
Let $a_{1},a_{2},a_{3},a_{4},a_{5}$ be a sequence of five consecutive odd numbers. Consider a new sequence of five consecutive even numbers ending with $2a_{3}$. If the sum of the numbers in the new sequence is $450$, then $a_{5}$ is $50$ $51$ $52$ $49$

Let $a_{1},a_{2},a_{3},a_{4},a_{5}$ be a sequence of five consecutive odd numbers. Consider a new sequence of five consecutive even numbers ending with $2a_{3}$. If the sum of the numbers in the new sequence is $450$, then $a_{5}$ is $50$ $51$ $52$ $49$

asked Mar 16, 2020 in Quantitative Aptitude go_editor 13.3k points 170 views

0 votes

0 answers

32

CAT 2017 Set-1 | Question: 91
The number of solutions $\left ( x, y, z \right )$ to the equation $x-y-z=25$, where $x, y,$ and $z$ are positive integers such that $x\leq 40,y\leq 12,$ and $z\leq 12,$ is $101$ $99$ $87$ $105$

The number of solutions $\left ( x, y, z \right )$ to the equation $x-y-z=25$, where $x, y,$ and $z$ are positive integers such that $x\leq 40,y\leq 12,$ and $z\leq 12,$ is $101$ $99$ $87$ $105$

asked Mar 13, 2020 in Quantitative Aptitude go_editor 13.3k points 71 views

0 votes

0 answers

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CAT 2016 | Question: 80
A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers. But, by mistake, both the numbers were entered with their digits interchanged. The total sales value remained the same, i.e. Rs. $1,148$, but the inventory reduced by $54$. ... the actual price per piece? $\text{Rs. }82$ $\text{Rs. }41$ $\text{Rs. }6$ $\text{Rs. }28$

A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers. But, by mistake, both the numbers were entered with their digits interchanged. The total sales value remained the same, i.e. Rs. $1,148$, but the inventory reduced by $54$. What is the actual price per piece? $\text{Rs. }82$ $\text{Rs. }41$ $\text{Rs. }6$ $\text{Rs. }28$

asked Mar 11, 2020 in Quantitative Aptitude go_editor 13.3k points 128 views

0 votes

0 answers

34

CAT 2016 | Question: 78
Once I had been to the post office to buy five-rupee, two- rupee and one-rupee stamps. I paid the clerk Rs. $20$, and since he had no change, he gave me three more one-rupee stamps. If the number of stamps of each type that I had ordered initially was more than one, what was the total number of stamps that I bought ___________

Once I had been to the post office to buy five-rupee, two- rupee and one-rupee stamps. I paid the clerk Rs. $20$, and since he had no change, he gave me three more one-rupee stamps. If the number of stamps of each type that I had ordered initially was more than one, what was the total number of stamps that I bought ___________

asked Mar 11, 2020 in Quantitative Aptitude go_editor 13.3k points 62 views

1 vote

1 answer

35

CAT 2016 | Question: 75
If $n$ is any odd number greater than $1$, then $n(n^2 – 1)$ is divisible by $96$ always divisible by $48$ always divisible by $24$ always None of these

If $n$ is any odd number greater than $1$, then $n(n^2 – 1)$ is divisible by $96$ always divisible by $48$ always divisible by $24$ always None of these

asked Mar 11, 2020 in Quantitative Aptitude go_editor 13.3k points 172 views

0 votes

0 answers

36

CAT 2016 | Question: 88
Out of two-thirds of the total number of basketball matches, a team has won $17$ matches and lost $3$ of them. What is the maximum number of matches that the team can lose and still win more than three fourths of the total number of matches, if it is true that no match can end in a tie _________

Out of two-thirds of the total number of basketball matches, a team has won $17$ matches and lost $3$ of them. What is the maximum number of matches that the team can lose and still win more than three fourths of the total number of matches, if it is true that no match can end in a tie _________

asked Mar 11, 2020 in Quantitative Aptitude go_editor 13.3k points 70 views

1 vote

1 answer

37

CAT 2016 | Question: 97
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 $7$? $666$ $676$ $683$ $777$

asked Mar 11, 2020 in Quantitative Aptitude go_editor 13.3k points 117 views

0 votes

1 answer

38

CAT 2015 | Question: 70
For the product $n\left ( n+1 \right )\left ( 2n+1 \right ),n \in \mathbf{N}$, which one of the following is not necessarily true? It is even Divisible by $3$ Divisible by the sum of the square of first $n$ natural numbers Never divisible by $237$

For the product $n\left ( n+1 \right )\left ( 2n+1 \right ),n \in \mathbf{N}$, which one of the following is not necessarily true? It is even Divisible by $3$ Divisible by the sum of the square of first $n$ natural numbers Never divisible by $237$

asked Mar 9, 2020 in Quantitative Aptitude go_editor 13.3k points 142 views

0 votes

1 answer

39

CAT 2015 | Question: 93
A young girl counted in the following way on the fingers of her left hand. She started calling the thumb $1$, the index finger $2$, middle finger $3$, ring finger $4$, little finger $5$, then reversed direction, calling the ring finger $6$, middle ... middle finger for $11$, and so on. She counted up to $1994$. She ended on her. thumb index finger middle finger ring finger

A young girl counted in the following way on the fingers of her left hand. She started calling the thumb $1$, the index finger $2$, middle finger $3$, ring finger $4$, little finger $5$, then reversed direction, calling the ring finger $6$, middle finger $7$, index ... $10$, middle finger for $11$, and so on. She counted up to $1994$. She ended on her. thumb index finger middle finger ring finger

asked Mar 9, 2020 in Quantitative Aptitude go_editor 13.3k points 183 views

0 votes

1 answer

40

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 ___________

asked Mar 9, 2020 in Quantitative Aptitude go_editor 13.3k points 132 views

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