In a mixture of 40 litres, the ratio of milk and water is 3 : 2. How many litres of milk must be added to make the ratio 4 : 1?
1). 45
2). 40
3). 35
4). 30
Let ‘a’ be the number of litres of milk to be added. Given the ratio of milk and water before and after mixing with milk as 3 : 2 and 4 : 1 respectively.
Equating the quantity of milk present in the ingredients to the final mixture we have,
0.6 × 40 + a = 0.8 × (40 + a)
⇒ 0.2 × a = 0.2 × 40
⇒ a = 40
∴ Quantity of milk to be added is 40 litres.4. The LCM of two numbers is 2436 and their ratio is 4 ∶ 3. What is the HCF of these numbers?
5. What should come in place of question mark ‘?’ in the following number series? 0, 2, 7, 25,?
9. What will come in place of question mark (?) in the following question? 54 × 68 ÷ 72 + 84 ÷ 14 = ?