List of top Mathematics Questions asked in All India Law Entrance Test

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 ?
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.
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 ?
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