Explanation

Given a and b are integers and b ≠ 0:

a/b represents a Rational number.

A rational number is a number that can be expressed as the ratio of two integers, where the denominator is non-zero.

Explanation

De Morgan's first law states that the complement of the union of two sets A and B is equal to the intersection of their complements.

The correct representation is:

(AUB)' = A' ∩ B'

Explanation

To convert 96 to base 5:

Divide 96 by 5 repeatedly and note the remainders:

96 ÷ 5 = 19 remainder 1

19 ÷ 5 = 3 remainder 4

3 ÷ 5 = 0 remainder 3

Now write remainders in reverse order:

(341)₅

Explanation

 33+8+27+13+48+10=139

Explanation

Brahmagupta, an astronomer and mathematician from India used zero in mathematical operations like addition and subtraction.

Aryabhatta introduced zero in 5th century.

Brahmagupta introduced zero in calculations in around 628 AD.

Explanation

Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x

S.P. of x articles = Rs. 20

Profit = Rs. (20 - x)

∴20−xx×100=25⇒2000−100x=25x125x=2000⇒x=16

Explanation

Even numbers leave no remainder when divided by 2.

Examples include 2, 4, 6, 8, etc.

Explanation

Waheed runs 9 miles in 1 hour.

We need to find how many hours it will take him to run 108 miles.

= 108 ÷ 9 = 12 hours

Explanation

Explanation

When 16025 ÷ 1000, the quotient is 16 and the remainder is 25.

Because 1000 × 16 = 16000, and 16025 − 16000 = 25.