Explanation

To find the greatest length of a tape that can measure both 52 m and 36 m exactly, we need the HCF (Highest Common Factor) of 52 and 36.

Step-by-step:

Factors of 52: 1, 2, 4, 13, 26, 52

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Common factors: 1, 2, 4

Greatest common factor = 4

Explanation

Let's find the cloth required per dress:

20 meters / 4 dresses = 5 meters/dress

For 15 dresses:

15 dresses × 5 meters/dress = 75 meters

Explanation

Explanation

Total income = Mujahid's income + Wife's income

= 56,835 + 35,600 = 92,435

Expenditure = Rs 65,000

Savings = Income − Expenditure

= 92,435 − 65,000 = 27,435

Explanation

To divide fractions, we invert the second fraction and multiply:

1/5 ÷ 1/25 = 1/5 × 25/1

= 25/5

= 5

Explanation

Given:

2 : 5 = 6 : x

We can write it as:

2/5 = 6/x

Cross-multiplying:

2x = 6 × 5

2x = 30

x = 30/2

x = 15

Explanation

Explanation

Explanation

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

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

Explanation

³√27 = ³√(3 × 3 × 3)

= ³√(3³)

= 3