List of top Mathematics Questions asked in AILET BALLB (Hons.)

X bullocks and Y tractors take 8 days to plough a field. If we halve the number of bullocks and double the number of tractors, it takes 5 days to plough the same field. How many days will it take for X bullocks alone to plough the field ?
In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41° C and of Tuesday to Thursday was 43°C If the temperature on Thursday was 15% higher than that of Monday, then the temperature in °C on Thursday was
If the radius of a right circular cone is increased by 50%, its volume increases by
A sum invested at compound interest amounts to ₹8,800 in 1 year and to ₹10,648 in 3 years. Calculate the rate percent and the sum.
Amit started a shop by investing ₹5,00,000. In the first year he incurred a loss of 5%. However, during the second year he earned a profit of 10% which in the third year rose to 12%. Calculate his % Profit.
If the price of sugar increased by 25%, by how much percent a housewife should reduce the consumption so as not to increase the expenditure.
Taxi charges in a city consists of fixed charges and remaining depending upon the distance travelled in kilometers. If a person travels 70 kms, he pays ₹1,130 and for travelling 100 kms, he pays ₹1,550. Find the charges for travelling 140 kms.
A, B and C can finish a piece of work in 12, 15 and 20 days respectively. If all the three work at it together and they are paid ₹ 9,600 for the whole work, what is B’s share ?
500 students are taking one or more courses out of Chemistry, Physics and Mathematics. Registration records indicate course enrolment as follows : Chemistry (329), Physics (186), Mathematics (295), Chemistry and Physics (83), Chemistry and Mathematics (217) and Physics and Mathematics (63). How many students are taking all 3 subjects ?
It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. What is the rate at which water has to be pumped in so that it gets filled in 10 minutes ?
A fruit vendor purchases two varieties of oranges at the rates of 12 oranges for ₹ 18 and 18 oranges for ₹ 12. He mixes the two varieties in the ratio of 2: 3 and sells the mixed stock at a price of ₹ 144 for 10 dozens. What percentage of profit or loss does he make ?
Arsh takes up a job, wherein each working day he is given a target. For each day, he meets the target he is paid ₹ 105 and for each day he does not meet the target he is paid ₹ 18 less. If by the end of a month, he is paid total of ₹ 2988, then how many days does he meets the target ?
A vessel contains an 80% alcohol solution. 20% of the solution was removed and replaced with water. If this process is repeated, find the percentage of alcohol which remains in the solution.
If 2x = 7y = 14z, then find the value of z in terms of x and y.
The number of integral values of x satisfying the inequation |x| < 4 is
If the price of cach book goes up by ₹ 5, then Asha can buy 20 books less for ₹ 1200. Find the original price and the number of books Asha could buy at the original price.
Bhiku borrowed some money from Dhanraj to admit his daughter in a reputed Law School. He agreed to pay the interest-free loan of ₹ 60, 000 in a monthly installments which increased by a constant amount. After the 20th installment, he found that he has paid 3/4 of the loan. If the entire loan was cleared this way in 25 installments, find out the value of the first installment.
If the third and the tenth term of an arithmetic progression are 14 and 56, respectively, then the arithmetic mean of the first 15 terms of the arithmetic progression is
City A is connected to City B by four highways and City B is connected to City C by three highways. Kesari wants to travel from City A to City C via City B. In how many ways, Kesari can do it ?
Ronnic has a bag containing 7 red and 9 green balls. From it, he draws out 6 balls simultaneously at random. The probability that 4 of them are red and the rest are green is