List of top Mathematics Questions asked in MAT

A solution of sugar syrup has 15% sugar. Another solution has 5% sugar. How many litres of the second solution must be added to 20 litres of the first solution to make a solution of 10% sugar?
Two gallons of a mixture of spirit and water contain 12% of water. They are added to 3 gallons of another mixture, containing 7% of water and half a gallon of water is then added to the whole. Find the percentage of water in the resulting mixture.
An 8-litre cylinder contains a mixture of oxygen and nitrogen, the volume of oxygen being 16% of total volume. A few litres of the mixture is released and an equal amount of nitrogen is added. Then the same amount of the mixture as before is released and replaced by nitrogen for the second time. As result, the oxygen content becomes 9% of total volume. How many litres of mixture is released each time?
If a bucket is 80% full, then it contains 2 litres more water than when it is \( 66 \frac{2}{3} % \) full. What is the capacity of the bucket?
A salesman's terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs. 1,000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per the new scheme was Rs. 600 more than by the first scheme, what were his sales worth?
The average marks of a student in 8 subjects is 87. Of these, the highest marks are 2 more than the one next in value. If these two subjects are eliminated, the average marks of the remaining subjects are 85. What are the highest marks obtained by him?
In a class with a certain number of students, if one student weighing 50 kg is added, then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added, then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?
At the start of a seminar, the ratio of the number of male participants to the number of female participants was 3 : 1. During the tea break, 16 participants left and 6 more female participants registered. The ratio of the male to the female participants became 2:1. The total number of participants at the start of the seminar was
The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day, 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same working 8 hours per day?
A team of workers was employed by a contractor who undertook to finish 360 pieces of an article in a certain number of days. Making four more pieces per day than was planned, they could complete the job a day ahead of schedule. How many days will they take to complete the job according to the new planning?
One type of liquid contains 25% of milk, the other type of liquid contains 30% of milk. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of milk in the new mixture.
There are two identical vessels, X and Y. Y is filled with water to the brim and X is empty. There are two pails A and B, such that B can hold half as much water as A. One operation is said to be executed when water is transferred from Y to X using A once and water is transferred to Y from X using B once. If A can hold a litre of water and it takes 40 operations to equate the water level in X and Y, what is the total volume of water in the system?
A man can row 30 km upstream and 44 km downstream in 10 hours. Also, he can row 40 km upstream and 55 km downstream in 13 hours. The rate of the current is
A student purchased a computer system and a colour printer. If he sold the computer system at 10 loss and the colour printer at 20 gain, he would not lose anything. But if he sells the computer system at 5 gain and the colour printer at 15 loss, he would lose Rs. 800 in the bargain. How much did he pay for the colour printer?
A runs \( 1 \frac{2}{3} \) times as fast as B. If A gives B a start of 80m, how far must the winning post be, so that A and B might reach it at the same time?
Ratio of Ashok's age to Pradeep's age is 4 : 3. Ashok will be 26 years old after 6 years. How old is Pradeep now?
A man sitting in a train travelling at the rate of 50 km/hr observes that it takes 9 sec for a goods train travelling in the opposite direction to pass him. If the goods train is 187.5 m long, find its speed.
X and Y entered into partnership with Rs. 700 and Rs. 600 respectively. After 3 months, X withdrew \( \frac{2}{7} \) of his stock but after 3 months, he puts back \( \frac{3}{5} \) of what he had withdrawn. The profit at the end of the year is Rs. 726. How much of this should X receive?
The incomes of Chanda and Kim are in the ratio 5 : 3 and their expenditures are in the ratio 2 : 1. If each saves Rs. 1,000, then Chanda's expenditure is
The retail price of a water geyser is Rs. 1,265. If the manufacturer gains 10%, the wholesale dealer gains 15% and the retailer gains 25%, then the cost of the product is:
A man left one-half of his property for his wife, one-third for his son and the remainder for his daughter. If the daughter's share was worth Rs. 45,000, how much money did the man leave?
Anil is at present one-fourth the age of his father. After 16 years he will be one-half of the age of his father. Find the present age of Anil's father.
A machine is sold at a profit of 10%. Had it been sold for Rs. 40 less, there would have been a loss of 10%. What was the cost price of the machine?
In a class of 25 students with Roll Nos. 1 to 25, a student is picked up at random to answer a question. Find the probability that the roll number of the selected student is either a multiple of 5 or 7.
The tax on a commodity is diminished by 10% and its consumption increased by 10%. The effect on the revenue derived from it changes by \( K %\). Find the value of \( K \).