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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 $200$ $175$ $150$ $225$
soujanyareddy13
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
219
views
cat2021-set3
quantitative-aptitude
number-systems
1
vote
1
answer
2
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
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
93
views
cat2021-set3
quantitative-aptitude
number-systems
numerical-answer
1
vote
1
answer
3
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
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
97
views
cat2021-set2
quantitative-aptitude
number-systems
numerical-answer
1
vote
1
answer
4
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?
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 19
by
soujanyareddy13
2.7k
points
239
views
cat2021-set1
quantitative-aptitude
number-systems
numerical-answer
1
vote
1
answer
5
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 $6090$ $4941$ $6119$ $7471$
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 19
by
soujanyareddy13
2.7k
points
135
views
cat2021-set1
quantitative-aptitude
number-systems
0
votes
0
answers
6
CAT 2020 Set-3 | Question: 66
How many integers in the set $\{ 100, 101, 102, \dots, 999\}$ have at least one digit repeated $?$
soujanyareddy13
asked
in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
86
views
cat2020-set3
quantitative-aptitude
number-systems
numerical-answer
0
votes
0
answers
7
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 $\text{N} ?$
soujanyareddy13
asked
in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
61
views
cat2020-set3
quantitative-aptitude
number-systems
numerical-answer
2
votes
1
answer
8
CAT 2020 Set-3 | Question: 71
How many of the integers $1,2, \dots, 120,$ are divisible by none of $2,5$ and $7 ?$ $40$ $42$ $43$ $41$
soujanyareddy13
asked
in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
166
views
cat2020-set3
quantitative-aptitude
number-systems
2
votes
1
answer
9
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
soujanyareddy13
asked
in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
108
views
cat2020-set2
quantitative-aptitude
number-systems
numerical-answer
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 $9$ $10$ $8$ $12$
soujanyareddy13
asked
in
Quantitative Aptitude
Sep 16, 2021
by
soujanyareddy13
2.7k
points
151
views
cat2020-set1
quantitative-aptitude
number-systems
numerical-answer
1
vote
2
answers
11
NIELIT 2019 Feb Scientist D - Section D: 5
How many pair of natural numbers are there, the differences of whose squares is $45$ ? $1$ $2$ $3$ $4$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
396
views
nielit2019feb-scientistd
quantitative-aptitude
number-systems
0
votes
1
answer
12
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 : $45$ $36$ $54$ $63$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
251
views
nielit2019feb-scientistd
number-systems
1
vote
1
answer
13
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 : $18$ $24$ $81$ $42$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 3, 2020
by
Lakshman Patel RJIT
12.0k
points
305
views
nielit2019feb-scientistd
number-systems
0
votes
0
answers
14
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 $5$ $50$ $33$ $26$ $17$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
139
views
nielit2019feb-scientistc
quantitative-aptitude
number-systems
divisibility
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
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Apr 1, 2020
by
Lakshman Patel RJIT
12.0k
points
808
views
nielit2017oct-assistanta
quantitative-aptitude
number-systems
0
votes
1
answer
16
NIELIT 2017 DEC Scientific Assistant A - Section A: 43
The value of $[(10)^{150}\div (10)^{146}]$: $1000$ $10000$ $100000$ $10^{6}$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Mar 31, 2020
by
Lakshman Patel RJIT
12.0k
points
351
views
nielit2017dec-assistanta
numerical-ability
number-systems
1
vote
1
answer
17
CAT 2019 Set-2 | Question: 70
How many pairs $(m,n)$ of positive integers satisfy the equation $m^{2}+105=n^{2}$ _______
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
227
views
cat2019-2
quantitative-aptitude
number-systems
numerical-answer
1
vote
1
answer
18
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 _____
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
327
views
cat2019-2
quantitative-aptitude
number-systems
numerical-answer
1
vote
1
answer
19
CAT 2019 Set-2 | Question: 85
How many factors $2^{4}\times3^{5}\times10^{4}$ are perfect squares which are greater than $1$ _______
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
292
views
cat2019-2
quantitative-aptitude
number-systems
numerical-answer
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
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
386
views
cat2018-2
quantitative-aptitude
number-systems
numerical-answer
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? $5$ $6$ $8$ $7$
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
255
views
cat2018-2
quantitative-aptitude
number-systems
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
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
245
views
cat2018-2
quantitative-aptitude
number-systems
numerical-answer
2
votes
1
answer
23
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 _______
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
243
views
cat2018-2
quantitative-aptitude
number-systems
numerical-answer
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? $-32$ $48$ $64$ $16$
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
275
views
cat2018-2
quantitative-aptitude
number-systems
1
vote
0
answers
25
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 $\text{B}$
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
160
views
cat2018-2
quantitative-aptitude
number-systems
2
votes
1
answer
26
CAT 2018 Set-2 | Question: 92
The smallest integer $n$ for which $4^{n}>17^{19}$ holds, is closest to $33$ $37$ $39$ $35$
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
268
views
cat2018-2
quantitative-aptitude
number-systems
2
votes
1
answer
27
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 _________
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
294
views
cat2018-1
quantitative-aptitude
number-systems
numerical-answer
2
votes
1
answer
28
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 _______
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
255
views
cat2018-1
quantitative-aptitude
number-systems
numerical-answer
0
votes
0
answers
29
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 $1$ $2$ $4$
go_editor
asked
in
Quantitative Aptitude
Mar 16, 2020
by
go_editor
13.4k
points
238
views
cat2017-2
quantitative-aptitude
number-systems
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 $1777$ $1785$ $1875$ $1877$
go_editor
asked
in
Quantitative Aptitude
Mar 16, 2020
by
go_editor
13.4k
points
251
views
cat2017-2
quantitative-aptitude
number-systems
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 $50$ $51$ $52$ $49$
go_editor
asked
in
Quantitative Aptitude
Mar 16, 2020
by
go_editor
13.4k
points
214
views
cat2017-2
quantitative-aptitude
number-systems
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 $101$ $99$ $87$ $105$
go_editor
asked
in
Quantitative Aptitude
Mar 13, 2020
by
go_editor
13.4k
points
92
views
cat2017-1
quantitative-aptitude
number-systems
0
votes
0
answers
33
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? $\text{Rs. }82$ $\text{Rs. }41$ $\text{Rs. }6$ $\text{Rs. }28$
go_editor
asked
in
Quantitative Aptitude
Mar 11, 2020
by
go_editor
13.4k
points
172
views
cat2016
quantitative-aptitude
number-systems
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 ___________
go_editor
asked
in
Quantitative Aptitude
Mar 11, 2020
by
go_editor
13.4k
points
77
views
cat2016
quantitative-aptitude
number-systems
numerical-answer
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
go_editor
asked
in
Quantitative Aptitude
Mar 11, 2020
by
go_editor
13.4k
points
215
views
cat2016
quantitative-aptitude
number-systems
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 _________
go_editor
asked
in
Quantitative Aptitude
Mar 11, 2020
by
go_editor
13.4k
points
78
views
cat2016
quantitative-aptitude
number-systems
numerical-answer
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 $7$? $666$ $676$ $683$ $777$
go_editor
asked
in
Quantitative Aptitude
Mar 11, 2020
by
go_editor
13.4k
points
156
views
cat2016
quantitative-aptitude
number-systems
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 $237$
go_editor
asked
in
Quantitative Aptitude
Mar 9, 2020
by
go_editor
13.4k
points
190
views
cat2015
quantitative-aptitude
number-systems
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
go_editor
asked
in
Quantitative Aptitude
Mar 9, 2020
by
go_editor
13.4k
points
262
views
cat2015
quantitative-aptitude
number-systems
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 ___________
go_editor
asked
in
Quantitative Aptitude
Mar 9, 2020
by
go_editor
13.4k
points
185
views
cat2015
quantitative-aptitude
number-systems
numerical-answer
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