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Number System MCQ & Answers [PDF Download]

Number System forms the foundation of quantitative aptitude in competitive examinations. These questions cover divisibility rules, LCM, HCF, prime numbers, factors, and number properties. Major exams like Bank PO, SSC...
1.

What is the decimal equivalent of the binary number (11010110)2?

2.

In base 7 number system, what is the sum of (345)7 + (126)7?

3.

What is the largest 4-digit number in base 5?

4.

If (101011)2 = (x)8, find the value of x.

5.

What is the remainder when (1111)2 is divided by (11)2?

6.

What is the decimal value of (ABC)16?

7.

How many different 3-digit numbers can be formed in base 4?

8.

What is (777)8 - (555)8 in base 8?

9.

If a number in base 10 is 243, what is its representation in base 3?

10.

What is the product of (12)5 × (23)5 in base 5?

11.

How many digits are required to represent the decimal number 1000 in base 2?

12.

In base 6, what is the next number after (555)6?

13.

What is the smallest positive integer that requires exactly 5 digits when written in base 3?

14.

What is the value of (FF)16 in base 2?

15.

What is the LCM of (110)2 and (101)2 in binary?

16.

What is the sum of all single-digit numbers in base 9?

17.

In base 16, what is the value of (1A2B)16 - (F0E)16?

18.

What is the greatest common divisor (GCD) of (1100)2 and (1010)2 in binary?

19.

In which base does (144)b = (100)10?

20.

What is (11011)2 × (11)2 in binary?