CUET-PG SERIES Mathematics
Number Systems
15 previous year questions.
Volume: 15 Ques
Yield: Medium
High-Yield Trend
15
2023 Chapter Questions 15 MCQs
01
PYQ 2023
medium
mathematics ID: cuet-pg-
The sum of two digits no. is 10, on reversing the digits of a number the number is decrease by 36. Find the number.
1
73
2
37
3
28
4
46
02
PYQ 2023
medium
mathematics ID: cuet-pg-
Find the sum of two consecutive numbers in which four times are first number is 12 more than the thrice of the second number
1
27
2
31
3
24
4
25
03
PYQ 2023
hard
mathematics ID: cuet-pg-
Find the sum of following hexadecimal numbers (7CA)16+ (4B2)16 =?
1
B7C
2
C7C
3
D7C
4
B6C
04
PYQ 2023
medium
mathematics ID: cuet-pg-
Given below are two statements:
Statement I: For n ≥1, we have
Statement II: (1+x)n ≥ (1+nx) for all natural number n, where x > -1.
In the light of the above Statements, choose the most appropriate answer from the options given below :
Statement I: For n ≥1, we have
Statement II: (1+x)n ≥ (1+nx) for all natural number n, where x > -1.
In the light of the above Statements, choose the most appropriate answer from the options given below :
1
Both Statement I and Statement II are true
2
Both Statement I and Statement II are false
3
Statement I is true but statement II is false
4
Statement I is false but statement II is true
05
PYQ 2023
medium
mathematics ID: cuet-pg-
Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): Sum of n terms of series 12+32+52+... to n terms is .
Reasons (R): Sum of the squares of first a natural numbers 12, 22, 32,....,n2 is .
In the light of the above Statements, choose the correct answer from the options given below:
Assertion (A): Sum of n terms of series 12+32+52+... to n terms is .
Reasons (R): Sum of the squares of first a natural numbers 12, 22, 32,....,n2 is .
In the light of the above Statements, choose the correct answer from the options given below:
1
Both (A) and (R) are true and (R) is the correct explanation of (A)
2
Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
3
(A) is true but (R) is false
4
(A) is false but (R) is true
06
PYQ 2023
medium
mathematics ID: cuet-pg-
The number of vectors of unit length perpendicular to vectors = (1,1,0) and = (0,1,1) is
1
one
2
two
3
three
4
infinite
07
PYQ 2023
medium
mathematics ID: cuet-pg-
Given below are two statements:
Statement I: If (12P)3 = (123)p, then the value of p is 8.
Statement II: In 16-bit 2's complement representation, the decimal number -28 is 11111 111111100100.
In the light of the above Statements, choose the most appropriate answer from the options given below :
Statement I: If (12P)3 = (123)p, then the value of p is 8.
Statement II: In 16-bit 2's complement representation, the decimal number -28 is 11111 111111100100.
In the light of the above Statements, choose the most appropriate answer from the options given below :
1
Both Statement I and Statement II are correct
2
Both Statement I and Statement II are incorrect
3
Statement I is correct but statement II is incorrect
4
Statement I is incorrect but statement II is correct
08
PYQ 2023
medium
mathematics ID: cuet-pg-
The lines 2x + y -1=0, ax+3y-3=0 and 3x+2y-2=0 are concurrent for
1
for all a
2
a=4 only
3
-1\leq a\leq 3
4
a>0 only
09
PYQ 2023
medium
mathematics ID: cuet-pg-
Given below are two statements :
Statement I: The number of different number each of 6 digits that can be formed by using all the digits 1, 2, 1, 0, 2, 2 is 50.
Statement II: These are 4536 possibilities of writing the four digit numbers which have all distinct digits.
In the light of the above statements, choose the correct answer from the options given below:
Statement I: The number of different number each of 6 digits that can be formed by using all the digits 1, 2, 1, 0, 2, 2 is 50.
Statement II: These are 4536 possibilities of writing the four digit numbers which have all distinct digits.
In the light of the above statements, choose the correct answer from the options given below:
1
Both Statement I and Statement II are true
2
Both Statement I and Statement II are false
3
Statement I is true but Statement II is false
4
Statement I is false but Statement II is true
10
PYQ 2023
medium
mathematics ID: cuet-pg-
A. If (12 P)3 = (123)p, then value of P is infeasible.
B. The simplified sum of product form of the Boolean expression is .
C. The minimum number of D flip-flops needed to design a mod(258) counter is 8.
Choose the correct answer from the options given below :
B. The simplified sum of product form of the Boolean expression is .
C. The minimum number of D flip-flops needed to design a mod(258) counter is 8.
Choose the correct answer from the options given below :
1
A only
2
A and B only
3
A and C only
4
C only
11
PYQ 2023
medium
mathematics ID: cuet-pg-
If a=130, b=133 and c=137, There the value of a3+b3+c3-3 abc is
1
14200
2
14400
3
14800
4
13800
12
PYQ 2023
medium
mathematics ID: cuet-pg-
For x = 3, find the value of
1
280
2
270
3
290
4
300
13
PYQ 2023
medium
mathematics ID: cuet-pg-
Process of indicating addition [3+2=5] at number system
![Process of indicating addition [ 3+2=5] at number system](https://images.collegedunia.com/public/qa/images/content/2024_02_27/Screenshot_fffd1d581709026826148.png)
Choose the correct answer from the options given below:
Choose the correct answer from the options given below:
1
A, B, C, D, E
2
B, A, C, D, E
3
E, D, C, B, A
4
B, A, D, C, E
14
PYQ 2023
medium
mathematics ID: cuet-pg-
Two natural numbers are in the ratio 3:5 and their product is 2160. The smaller of the numbers is
1
20
2
14
3
12
4
18
15
PYQ 2023
medium
mathematics ID: cuet-pg-
If , , then the value of is:
1
92
2
88
3
94
4
90