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

Let salary = Rs. S

Total spent = 1/3 + 1/5 + 1/6  

LCM of 3,5,6 = 30  

= 10/30 + 6/30 + 5/30 = 21/30 = 7/10

Money left = 1 - 7/10 = 3/10 of salary

3/10 × S = 600  

S = 600 × 10/3 = Rs. 2000

Last verified on 13-06-2026

Explanation

Assuming you mean 1/(x+2) + 1/(x+3) = 16

[(x+3)+(x+2)] / [(x+2)(x+3)] = 16  

(2x+5) / (x^2+5x+6) = 16  

Cross multiply: 2x+5 = 16x^2+80x+96  

0 = 16x^2+78x+91  

Using quadratic formula: x = [-78 +- sqrt(260)]/32  

x = [-39 +- sqrt(65)]/16  

x ≈ -1.93 or x ≈ -2.94  

x cannot be -2 or -3

If you meant x+2 + x+3 = 16, then 2x+5=16 → x=5.5

Last verified on 13-06-2026

Explanation

• 100 years = Century
• So the period between 200 years (two centuries) is based on century units.
• Each century = 100 years, so 200 years = 2 centuries.

Last verified on 11-06-2026