MAT (Stage-1) M...

A alone can finish a piece of work in 10 days and B alone can finish it in 15 days. If they work together and finish it, then out of the total wage of Rs. 75, A will get _________.

The ratio between the ages of A and his father is 1 : 7. The difference between their ages is 30 years. What would be the ratio of their ages 10 years later?

The present ages of Samir and Tanuj are in the ratio of 8 : 15. After 9 years, the ratio of their ages will be 11 : 18. What is the difference between their present ages?

The ratio of the present ages of Sunita and Vinita is 4 : 5. Six years hence the ratio of their ages will be 14 : 17. What will be the ratio of their ages 12 years from now?

The average age of a class of 30 students and a teacher reduces by 0.5 years if we exclude the age of the teacher. If the initial average was 14 years, then find the age of the teacher.

When a number 'a' is first increased by 30% and then reduced by 30, the result obtained is 230. If the same number 'a' is first reduced by 30% and then increased by 30, then find the resultant value.

If the profit earned by selling 4 dozen eggs is equal to the cost price of a dozen eggs, then find the profit percentage.

A person spends 50% of his monthly salary on rent (R), 5% of the remaining salary on food (F), 10% of the remaining salary on transport (T) and 20% of the remaining salary on various bills (B). If his monthly salary is Rs. 20000, then what will be the descending order of the amounts spent on various items?

If the selling price of 30 pens is equal to the cost price of 20 pens, then what is the net profit or loss percentage?

The population of a village is 32,800. One-fourth of the population are females and the rest are males. 15% of the males and 35% of the females are uneducated. What percent on the whole are educated?

Two trains start from stations A and B respectively, 50 km apart, at the same time and same speed. As the trains start, a bird flies from one train towards the other and on reaching the second train, it flies back to the first train. It repeats this process till both the trains collide. If the speed of both the trains is 25 km/hr and that of the bird is 100 km/hr, then how much did the bird travel till the time of collision? (Also consider that both the trains are moving on the same track.)

If + means -, × means ÷, ÷means × and - means +, then 445 × 5 - 31 ÷ 4 + 7 is equal to ________.

If - means ×, × means ÷, ÷ means + and + means -, then 9 ÷ 128 × 8 + 1 - 3 is equal to _______.