Explanation

Father’s current age = 72 − 6 = 66 years.

Son’s current age = 66 ÷ 6 = 11 years.

Last verified on 02-09-2026

Explanation

The HCF of 35 and 63 is 7.

Divide both terms by 7: 35 ÷ 7 : 63 ÷ 7 = 5 : 9.

Last verified on 02-09-2026

Explanation

HCF of 20 and 6 = 2.

Divide both by 2: 20 ÷ 2 : 6 ÷ 2 = 10 : 3.

Last verified 02-09-2026

Explanation

|3| = 3, |−3| = 3, and 2² = 4.

|−3²| = |−9| = 9 → 3 − 3 − 4 − 9 = −13.

Last verified on 02-09-2026

Explanation

Given: Father's age = 5 times daughter's age = 5x years

Sum of ages = 48 years

So, x + 5x = 48

6x = 48

x = 48 / 6

x = 8

Daughter's current age = 8 years

Last verified on 03-08-2026

Explanation

The cosine function is defined for every real value of θ.

Therefore, its domain is all real numbers.

Last verified on 04-09-2026

Explanation

100% means the whole amount.

So, 100% of 200 = (100/100) × 200 = 200.

Last verified on 04-09-2026

Explanation

When we divide numbers with same base we subtract the powers. 

First 2^40 / 2^19 gives 2^(40-19) = 2^21. 

Then 2^21 / 2^13 gives 2^(21-13) = 2^8.

Last verified on 04-09-2026

Explanation

Mode = the number that appears most often in the data.

Given data: 40, 45, 45, 50, 60

Count:  

40 appears 1 time  

45 appears 2 times  

50 appears 1 time  

60 appears 1 time  

45 appears the most.

Last verified on 03-09-2026

Explanation

3+1 = 4

4+3 = 7

7+1 = 8

8+3 = 11

11+1 = 12

12+3 = 15

Last verified on 03-09-2026