Number System : Previous Year Questions of CUET , IPMAT and CLAT

NUMBER SYSTEM  

"Prepare for Success: Previous Year Questions from CUET, IPMAT, and CLAT Exams

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- CUET: 2020-2022 questions with Answers

- IPMAT: 2020-2022 questions with answers

- CLAT: 2020-2022 questions with answers

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2022

CUET: 

1. What is the remainder when 43^86 is divided by 7?

    - A. 1

    - B. 2

    - C. 3

    - D. 4

Answer: A. 1

 

2. If x = 5 + 2√6, then x^2 - 1/x^2 equals:

    - A. 22

    - B. 24

    - C. 26

    - D. 28

Answer: C. 26

 

3. What is the remainder when 7^103 is divided by 10?

    - A. 1

    - B. 3

    - C. 7

    - D. 9

Answer: C. 7

 

CLAT:

 

1. If x is divisible by 12 and 15, then x is also divisible by:

    - A. 5

    - B. 20

    - C. 60

    - D. 120

Answer: C. 60

 

2. What is the sum of all 2-digit numbers that are divisible by 9?

    - A. 945

    - B. 990

    - C. 1035

    - D. 1080

Answer: A. 945

 

3. What is the remainder when 2^100 is divided by 125?

    - A. 1

    - B. 2

    - C. 4

    - D. 8

Answer: A. 1

 

IPMAT:

1. What is the remainder when 3^87 is divided by 13?

    - A. 1

    - B. 3

    - C. 9

    - D. 12

Answer: A. 1

 

2. If x = 2 + √3, then x^2 + 1/x^2 equals:

    - A. 13

    - B. 14

    - C. 15

    - D. 16

Answer: C. 15

 

3. What is the remainder when 5^127 is divided by 7?

    - A. 1

    - B. 2

    - C. 3

    - D. 4

Answer: A. 1

 

 

2021

CUET:

1. If x = 3 + √5, then x^2 - 2x + 1 equals:

    - A. 9

    - B. 11

    - C. 13

    - D. 15

Answer: C. 13

 

2. What is the remainder when 2^50 is divided by 7?

    - A. 1

    - B. 2

    - C. 3

    - D. 4

Answer: A. 1

 

CLAT:

1. If x is divisible by 24 and 30, then x is also divisible by:

    - A. 120

    - B. 180

    - C. 240

    - D. 360

Answer: A. 120

 

2. What is the sum of all 3-digit numbers that are divisible by 11?

    - A. 4995

    - B. 5055

    - C. 5155

    - D. 5255

Answer: B. 5055

 

IPMAT:

1. If x = 2 + √3, then x^2 + 1/x^2 equals:

    - A. 13

    - B. 14

    - C. 15

    - D. 16

Answer: C. 15

 

2. What is the number of positive integers less than 50 that are divisible by 3 or 5?

    - A. 20

    - B. 22

    - C. 25

    - D. 28

Answer: C. 25

 

2020

CUET:

1. The HCF of 144 and 180 is:

    - A. 12

    - B. 18

    - C. 24

    - D. 36

Answer: B. 18

 

2. The LCM of 12, 15, and 18 is:

    - A. 180

    - B. 216

    - C. 240

    - D. 360

Answer: A. 180

 

CLAT:

1. The number of positive integers less than 100 that are divisible by 3 or 5 is:

    - A. 33

    - B. 37

    - C. 40

    - D. 44

Some Important MCQs based on Number system

 

 

1. What is the remainder when 43^86 is divided by 7?

    - A. 1

    - B. 2

    - C. 3

    - D. 4

Answer: A. 1

 

2. The HCF of 144 and 180 is:

    - A. 12

    - B. 18

    - C. 24

    - D. 36

Answer: B. 18

 

3. If x = 2 + √3, then x^2 + 1/x^2 equals:

    - A. 13

    - B. 14

    - C. 15

    - D. 16

Answer: C. 15

 

4. What is the remainder when 2^100 is divided by 125?

    - A. 1

    - B. 2

    - C. 4

    - D. 8

Answer: A. 1

 

5. The LCM of 12, 15, and 18 is:

    - A. 180

    - B. 216

    - C. 240

    - D. 360

Answer: A. 180

 

6. What is the sum of all 3-digit numbers that are divisible by 11?

    - A. 4995

    - B. 5055

    - C. 5155

    - D. 5255

Answer: B. 5055

 

7. If x = 3 + √5, then x^2 - 2x + 1 equals:

    - A. 9

    - B. 11

    - C. 13

    - D. 15

Answer: C. 13

 

8. What is the remainder when 5^127 is divided by 7?

    - A. 1

    - B. 2

    - C. 3

    - D. 4

Answer: A. 1

 

9. The number of positive integers less than 50 that are divisible by 3 or 5 is:

    - A. 20

    - B. 22

    - C. 25

    - D. 28

Answer: C. 25

 

10. What is the remainder when 7^103 is divided by 10?

    - A. 1

    - B. 3

    - C. 7

    - D. 9

Answer: C. 7

 

11. If x = 5 + 2√6, then x^2 - 1/x^2 equals:

    - A. 22

    - B. 24

    - C. 26

    - D. 28

Answer: C. 26

 

12. The HCF of 240 and 360 is:

    - A. 60

    - B. 120

    - C. 180

    - D. 240

Answer: A. 60

 

13. What is the sum of all 2-digit numbers that are divisible by 9?

    - A. 945

    - B. 990

    - C. 1035

    - D. 1080

Answer: A. 945

 

14. If x is divisible by 12 and 15, then x is also divisible by:

    - A. 5

    - B. 20

    - C. 60

    - D. 120

Answer: C. 60

 

15. What is the remainder when 3^87 is divided by 13?

    - A. 1

    - B. 3

    - C. 9

    - D. 12

Answer: A. 1

 

16. The LCM of 8, 12, and 15 is:

    - A. 120

    - B. 180

    - C. 240

    - D. 360

Answer: A. 120

 

17. What is the number of positive integers less than 100 that are divisible by 3 or 5?

    - A. 33

    - B. 37

    - C. 40

    - D. 44

Answer: C. 40

 

18. If x = 2 + √3, then x^2 + 1/x^2 equals:

    - A. 13

    - B. 14

    - C. 15

    - D. 16

Answer: C. 15