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Number System Quantitative Aptitude Questions | Prasnya
Quantitative Aptitude > Number System
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13Q
01
An elevator has a weight limit of 630 kg. It is carrying a group of people of whom the heaviest weighs 57 kg and the lightest weighs 53 kg. What is the maximum possible number of people in the group?
Numerical
MEDIUM
3 marks
26 November 2017
02
Direction of the question: Solve the following question and mark the best possible option. How many different pairs
(
a
,
b
)
(a, b)
(
a
,
b
)
of positive integers are there such that
a
≤
b
a \le b
a
≤
b
and
1
a
+
1
b
=
1
9
\frac{1}{a} + \frac{1}{b} = \frac{1}{9}
a
1
+
b
1
=
9
1
?
Numerical
MEDIUM
3 marks
26 November 2017
03
Direction of the question: Solve the following question and key in your numerical answer. The number of integers x such that
0.25
<
2
x
<
200
0.25 < 2^x < 200
0.25
<
2
x
<
200
, and
2
x
+
2
2^x + 2
2
x
+
2
is perfectly divisible by either 3 or 4, is
Numerical
MEDIUM
3 marks
25 November 2018
04
Direction of the question: Solve the following question and mark the best possible option. If
A
=
{
6
2
n
−
35
n
−
1
:
n
=
1
,
2
,
3
,
.
.
.
}
A = \{6^{2n} - 35n - 1: n = 1,2,3,...\}
A
=
{
6
2
n
−
35
n
−
1
:
n
=
1
,
2
,
3
,
...
}
and
B
=
{
35
(
n
−
1
)
:
n
=
1
,
2
,
3
,
.
.
.
}
B = \{35(n-1): n = 1,2,3,...\}
B
=
{
35
(
n
−
1
)
:
n
=
1
,
2
,
3
,
...
}
then which of the following is true?
Single correct
HARD
3 marks
25 November 2018
05
When
10
100
10^{100}
1
0
100
is divided by 7, the remainder is
Single correct
MEDIUM
3 marks
24 November 2024
06
When
3
333
3^{333}
3
333
is divided by 11, the remainder is
Single correct
MEDIUM
3 marks
24 November 2024
07
If
m
m
m
and
n
n
n
are natural numbers such that
n
>
1
n > 1
n
>
1
, and
m
n
=
2
25
×
3
40
m^n = 2^{25} \times 3^{40}
m
n
=
2
25
×
3
40
, then
m
−
n
m-n
m
−
n
equals
Single correct
MEDIUM
3 marks
24 November 2024
08
If
10
68
10^{68}
1
0
68
is divided by 13, the remainder is
Single correct
HARD
3 marks
24 November 2024
09
In a 3-digit number N, the digits are non-zero and distinct such that none of the digits is a perfect square, and only one of the digits is a prime number. Then, the number of factors of the minimum possible value of N is
Numerical
MEDIUM
3 marks
30 November 2025
10
Suppose a, b, c are three distinct natural numbers, such that
3
a
c
=
8
(
a
+
b
)
3ac = 8(a + b)
3
a
c
=
8
(
a
+
b
)
. Then, the smallest possible value of
3
a
+
2
b
+
c
3a + 2b + c
3
a
+
2
b
+
c
is
Numerical
MEDIUM
3 marks
30 November 2025
11
The number of divisors of
(
2
6
×
3
5
×
5
3
×
7
2
)
(2^6 \times 3^5 \times 5^3 \times 7^2)
(
2
6
×
3
5
×
5
3
×
7
2
)
, which are of the form
(
3
r
+
1
)
(3r + 1)
(
3
r
+
1
)
, where r is a non-negative integer, is
Numerical
MEDIUM
3 marks
30 November 2025
12
The sum of digits of the number
(
625
)
65
×
(
128
)
36
(625)^{65} \times (128)^{36}
(
625
)
65
×
(
128
)
36
, is
Numerical
EASY
3 marks
30 November 2025
13
Direction of the question: The sum of all the digits of the number
(
10
50
+
10
25
−
123
)
\left(10^{50}+10^{25}-123\right)
(
1
0
50
+
1
0
25
−
123
)
, is
Single correct
HARD
3 marks
30 November 2025
Showing 13 questions.
Quantitative Aptitude > Number System
All PYQs
Topic-Wise PYQs
Start Weekly Test
Type:
All
Difficulty:
All
Year:
All
13Q
01
An elevator has a weight limit of 630 kg. It is carrying a group of people of whom the heaviest weighs 57 kg and the lightest weighs 53 kg. What is the maximum possible number of people in the group?
Numerical
MEDIUM
3 marks
26 November 2017
02
Direction of the question: Solve the following question and mark the best possible option. How many different pairs
(
a
,
b
)
(a, b)
(
a
,
b
)
of positive integers are there such that
a
≤
b
a \le b
a
≤
b
and
1
a
+
1
b
=
1
9
\frac{1}{a} + \frac{1}{b} = \frac{1}{9}
a
1
+
b
1
=
9
1
?
Numerical
MEDIUM
3 marks
26 November 2017
03
Direction of the question: Solve the following question and key in your numerical answer. The number of integers x such that
0.25
<
2
x
<
200
0.25 < 2^x < 200
0.25
<
2
x
<
200
, and
2
x
+
2
2^x + 2
2
x
+
2
is perfectly divisible by either 3 or 4, is
Numerical
MEDIUM
3 marks
25 November 2018
04
Direction of the question: Solve the following question and mark the best possible option. If
A
=
{
6
2
n
−
35
n
−
1
:
n
=
1
,
2
,
3
,
.
.
.
}
A = \{6^{2n} - 35n - 1: n = 1,2,3,...\}
A
=
{
6
2
n
−
35
n
−
1
:
n
=
1
,
2
,
3
,
...
}
and
B
=
{
35
(
n
−
1
)
:
n
=
1
,
2
,
3
,
.
.
.
}
B = \{35(n-1): n = 1,2,3,...\}
B
=
{
35
(
n
−
1
)
:
n
=
1
,
2
,
3
,
...
}
then which of the following is true?
Single correct
HARD
3 marks
25 November 2018
05
When
10
100
10^{100}
1
0
100
is divided by 7, the remainder is
Single correct
MEDIUM
3 marks
24 November 2024
06
When
3
333
3^{333}
3
333
is divided by 11, the remainder is
Single correct
MEDIUM
3 marks
24 November 2024
07
If
m
m
m
and
n
n
n
are natural numbers such that
n
>
1
n > 1
n
>
1
, and
m
n
=
2
25
×
3
40
m^n = 2^{25} \times 3^{40}
m
n
=
2
25
×
3
40
, then
m
−
n
m-n
m
−
n
equals
Single correct
MEDIUM
3 marks
24 November 2024
08
If
10
68
10^{68}
1
0
68
is divided by 13, the remainder is
Single correct
HARD
3 marks
24 November 2024
09
In a 3-digit number N, the digits are non-zero and distinct such that none of the digits is a perfect square, and only one of the digits is a prime number. Then, the number of factors of the minimum possible value of N is
Numerical
MEDIUM
3 marks
30 November 2025
10
Suppose a, b, c are three distinct natural numbers, such that
3
a
c
=
8
(
a
+
b
)
3ac = 8(a + b)
3
a
c
=
8
(
a
+
b
)
. Then, the smallest possible value of
3
a
+
2
b
+
c
3a + 2b + c
3
a
+
2
b
+
c
is
Numerical
MEDIUM
3 marks
30 November 2025
11
The number of divisors of
(
2
6
×
3
5
×
5
3
×
7
2
)
(2^6 \times 3^5 \times 5^3 \times 7^2)
(
2
6
×
3
5
×
5
3
×
7
2
)
, which are of the form
(
3
r
+
1
)
(3r + 1)
(
3
r
+
1
)
, where r is a non-negative integer, is
Numerical
MEDIUM
3 marks
30 November 2025
12
The sum of digits of the number
(
625
)
65
×
(
128
)
36
(625)^{65} \times (128)^{36}
(
625
)
65
×
(
128
)
36
, is
Numerical
EASY
3 marks
30 November 2025
13
Direction of the question: The sum of all the digits of the number
(
10
50
+
10
25
−
123
)
\left(10^{50}+10^{25}-123\right)
(
1
0
50
+
1
0
25
−
123
)
, is
Single correct
HARD
3 marks
30 November 2025
Showing 13 questions.
