Explanation

• An irrational number cannot be expressed as a simple fraction.
• √2 is irrational because it cannot be expressed as a fraction of two integers.

Last verified on 16-06-2026

Explanation

• Odd numbers are integers that are not divisible by 2.
• They can be expressed in the form 2n + 1, where n is any integer.
• This formula always produces odd values like 1, 3, 5, 7, etc.

Last verified on 16-06-2026

Explanation

Total food = 28 × 20 = 560 student-days

Food used in 8 days = 28 × 8 = 224 student-days

Remaining food = 560 − 224 = 336 student-days

Remaining students = 28 − 4 = 24 students

Days left = 336 ÷ 24 = 14 days

Last verified on 25-06-2026

Explanation

To find when both bells ring together again we find LCM of 32 and 40.

LCM means Least Common Multiple, the smallest time after which both match.

List multiples of 32: 32, 64, 96, 128, 160, 192

List multiples of 40: 40, 80, 120, 160, 200

First common number is 160

So both bells ring together after 160 minutes

160 minutes = 2 hours 40 minutes

8:00 AM + 2 hours 40 minutes = 10:40 AM

Last verified on 25-06-2026

Explanation

• Base (Radix): 2
• Digits used: 0, 1
• Used in: Computers, programming, digital circuits
• Each digit is called a bit (binary digit)
• Example: 1011₂

Last verified on 07-06-2026