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Modern Math Quantitative Aptitude Questions | Prasnya
Quantitative Aptitude > Modern Math
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17Q
01
Let AB, CD, EF, GH, and JK be five diameters of a circle with center at O. In how many ways can three points be chosen out of A, B, C, D, E, F, G, H, J, K, and O so as to form a triangle?
Numerical
MEDIUM
3 marks
26 November 2017
02
In how many ways can 7 identical erasers be distributed among 4 kids in such a way that each kid gets at least one eraser but nobody gets more than 3 erasers?
Single correct
MEDIUM
3 marks
26 November 2017
03
Direction of the question: Solve the following question and mark the best possible option. The numbers 1, 2, ..., 9 are arranged in a 3 X 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
Numerical
HARD
3 marks
26 November 2017
04
Direction of the question: Solve the following question and mark the best possible option. In how many ways can 8 identical pens be distributed among Amal, Bimal, and Kamal so that Amal gets at least 1 pen, Bimal gets at least 2 pens, and Kamal gets at least 3 pens?
Numerical
MEDIUM
3 marks
26 November 2017
05
Direction of the question: Solve the following question and mark the best possible option. How many four digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, 6, such that no digit is used more than once and 0 does not occur in the left-most position?
Numerical
HARD
3 marks
26 November 2017
06
Direction of the question: Solve the following question and mark the best possible option. If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be
Single correct
EASY
3 marks
25 November 2018
07
Direction of the question: Solve the following question and key in your numerical answer. How many numbers with two or more digits can be formed with the digits 1,2,3,4,5,6,7,8,9, so that in every such number, each digit is used at most once and the digits appear in the ascending order?
Numerical
HARD
3 marks
25 November 2018
08
Direction of the question: Solve the following question and key in your numerical answer. Each of 74 students in a class studies at least one of the three subjects H, E and P. Ten students study all three subjects, while twenty study H and E, but not P. Every student who studies P also studies H or E or both. If the number of students studying H equals that studying E, then the number of students studying H is
Numerical
HARD
3 marks
25 November 2018
09
Direction of the question: Solve the following question and key in your numerical answer. In a tournament, there are 43 junior level and 51 senior level participants. Each pair of juniors play one match. Each pair of seniors play one match. There is no junior versus senior match. The number of girl versus girl matches in junior level is 153, while the number of boy versus boy matches in senior level is 276. The number of matches a boy plays against a girl is
Numerical
MEDIUM
3 marks
25 November 2018
10
Direction of the question: Solve the following question and mark the best possible option. For two sets A and B, let AΔB denote the set of elements which belong to A or B but not both. If P = {1,2,3,4}, Q = {2,3,5,6}, R = {1,3,7,8,9}, S = {2,4,9,10}, then the number of elements in (PΔQ)Δ(RΔS) is
Single correct
MEDIUM
3 marks
25 November 2018
11
The sum of all four-digit numbers that can be formed with the distinct non-zero digits a, b, c, and d, with each digit appearing exactly once in every number, is 153310 + n, where n is a single digit natural number. Then, the value of (a + b + c + d + n) is
Numerical
HARD
3 marks
24 November 2024
12
Consider two sets
A
=
{
2
,
3
,
5
,
7
,
11
,
13
}
A = \{2, 3, 5, 7, 11, 13\}
A
=
{
2
,
3
,
5
,
7
,
11
,
13
}
and
B
=
{
1
,
8
,
27
}
B = \{1, 8, 27\}
B
=
{
1
,
8
,
27
}
. Let f be a function from A to B such that for every element D in B, there is at least one element a in A such that f(a) = b. Then, the total number of such functions f is
Single correct
VERY_HARD
3 marks
24 November 2024
13
P, Q, R and S are four towns. One can travel between P and Q along 3 direct paths, between Q and S along 4 direct paths, and between P and R along 4 direct paths. There is no direct path between P and S, while there are few direct paths between Q and R, and between R and S. One can travel from P to S either via Q, or via R, or via Q followed by R, respectively, in exactly 62 possible ways. One can also travel from Q to R either directly, or via P, or via S, in exactly 27 possible ways. Then, the number of direct paths between Q and R is
Numerical
VERY_HARD
3 marks
24 November 2024
14
In a group of 250 students, the percentage of girls was at least 44% and at most 60%. The rest of the students were boys. Each student opted for either swimming or running or both. If 50% of the boys and 80% of the girls opted for swimming while 70% of the boys and 60% of the girls opted for running, then the minimum and maximum possible number of students who opted for both swimming and running, are
Single correct
VERY_HARD
3 marks
24 November 2024
15
The number of all positive integers up to 500 with non-repeating digits is
Numerical
MEDIUM
3 marks
24 November 2024
16
A cafeteria offers 5 types of sandwiches. Moreover, for each type of sandwich, a customer can choose one of 4 breads and opt for either small or large sized sandwich. Optionally, the customer may also add up to 2 out of 6 available sauces. The number of different ways in which an order can be placed for a sandwich, is
Single correct
MEDIUM
3 marks
30 November 2025
17
Direction of the question: In a class of 150 students, 75 students chose physics, 111 students chose mathematics and 40 students chose chemistry. All students chose at least one of the three subjects and at least one student chose all three subjects. The number of students who chose both physics and chemistry is equal to the number of students who chose both chemistry and mathematics, and this is half the number of students who chose both physics and mathematics. The maximum possible number of students who chose physics but not mathematics, is
Single correct
VERY_HARD
3 marks
30 November 2025
Showing 17 questions.
Quantitative Aptitude > Modern Math
All PYQs
Topic-Wise PYQs
Start Weekly Test
Type:
All
Difficulty:
All
Year:
All
17Q
01
Let AB, CD, EF, GH, and JK be five diameters of a circle with center at O. In how many ways can three points be chosen out of A, B, C, D, E, F, G, H, J, K, and O so as to form a triangle?
Numerical
MEDIUM
3 marks
26 November 2017
02
In how many ways can 7 identical erasers be distributed among 4 kids in such a way that each kid gets at least one eraser but nobody gets more than 3 erasers?
Single correct
MEDIUM
3 marks
26 November 2017
03
Direction of the question: Solve the following question and mark the best possible option. The numbers 1, 2, ..., 9 are arranged in a 3 X 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
Numerical
HARD
3 marks
26 November 2017
04
Direction of the question: Solve the following question and mark the best possible option. In how many ways can 8 identical pens be distributed among Amal, Bimal, and Kamal so that Amal gets at least 1 pen, Bimal gets at least 2 pens, and Kamal gets at least 3 pens?
Numerical
MEDIUM
3 marks
26 November 2017
05
Direction of the question: Solve the following question and mark the best possible option. How many four digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, 6, such that no digit is used more than once and 0 does not occur in the left-most position?
Numerical
HARD
3 marks
26 November 2017
06
Direction of the question: Solve the following question and mark the best possible option. If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be
Single correct
EASY
3 marks
25 November 2018
07
Direction of the question: Solve the following question and key in your numerical answer. How many numbers with two or more digits can be formed with the digits 1,2,3,4,5,6,7,8,9, so that in every such number, each digit is used at most once and the digits appear in the ascending order?
Numerical
HARD
3 marks
25 November 2018
08
Direction of the question: Solve the following question and key in your numerical answer. Each of 74 students in a class studies at least one of the three subjects H, E and P. Ten students study all three subjects, while twenty study H and E, but not P. Every student who studies P also studies H or E or both. If the number of students studying H equals that studying E, then the number of students studying H is
Numerical
HARD
3 marks
25 November 2018
09
Direction of the question: Solve the following question and key in your numerical answer. In a tournament, there are 43 junior level and 51 senior level participants. Each pair of juniors play one match. Each pair of seniors play one match. There is no junior versus senior match. The number of girl versus girl matches in junior level is 153, while the number of boy versus boy matches in senior level is 276. The number of matches a boy plays against a girl is
Numerical
MEDIUM
3 marks
25 November 2018
10
Direction of the question: Solve the following question and mark the best possible option. For two sets A and B, let AΔB denote the set of elements which belong to A or B but not both. If P = {1,2,3,4}, Q = {2,3,5,6}, R = {1,3,7,8,9}, S = {2,4,9,10}, then the number of elements in (PΔQ)Δ(RΔS) is
Single correct
MEDIUM
3 marks
25 November 2018
11
The sum of all four-digit numbers that can be formed with the distinct non-zero digits a, b, c, and d, with each digit appearing exactly once in every number, is 153310 + n, where n is a single digit natural number. Then, the value of (a + b + c + d + n) is
Numerical
HARD
3 marks
24 November 2024
12
Consider two sets
A
=
{
2
,
3
,
5
,
7
,
11
,
13
}
A = \{2, 3, 5, 7, 11, 13\}
A
=
{
2
,
3
,
5
,
7
,
11
,
13
}
and
B
=
{
1
,
8
,
27
}
B = \{1, 8, 27\}
B
=
{
1
,
8
,
27
}
. Let f be a function from A to B such that for every element D in B, there is at least one element a in A such that f(a) = b. Then, the total number of such functions f is
Single correct
VERY_HARD
3 marks
24 November 2024
13
P, Q, R and S are four towns. One can travel between P and Q along 3 direct paths, between Q and S along 4 direct paths, and between P and R along 4 direct paths. There is no direct path between P and S, while there are few direct paths between Q and R, and between R and S. One can travel from P to S either via Q, or via R, or via Q followed by R, respectively, in exactly 62 possible ways. One can also travel from Q to R either directly, or via P, or via S, in exactly 27 possible ways. Then, the number of direct paths between Q and R is
Numerical
VERY_HARD
3 marks
24 November 2024
14
In a group of 250 students, the percentage of girls was at least 44% and at most 60%. The rest of the students were boys. Each student opted for either swimming or running or both. If 50% of the boys and 80% of the girls opted for swimming while 70% of the boys and 60% of the girls opted for running, then the minimum and maximum possible number of students who opted for both swimming and running, are
Single correct
VERY_HARD
3 marks
24 November 2024
15
The number of all positive integers up to 500 with non-repeating digits is
Numerical
MEDIUM
3 marks
24 November 2024
16
A cafeteria offers 5 types of sandwiches. Moreover, for each type of sandwich, a customer can choose one of 4 breads and opt for either small or large sized sandwich. Optionally, the customer may also add up to 2 out of 6 available sauces. The number of different ways in which an order can be placed for a sandwich, is
Single correct
MEDIUM
3 marks
30 November 2025
17
Direction of the question: In a class of 150 students, 75 students chose physics, 111 students chose mathematics and 40 students chose chemistry. All students chose at least one of the three subjects and at least one student chose all three subjects. The number of students who chose both physics and chemistry is equal to the number of students who chose both chemistry and mathematics, and this is half the number of students who chose both physics and mathematics. The maximum possible number of students who chose physics but not mathematics, is
Single correct
VERY_HARD
3 marks
30 November 2025
Showing 17 questions.