Vijay bought some pens for Rs. 540. He lost 2 pens. Then, he sold each of the remaining pens at Rs. 6 more than the cost price. On the whole transaction, Vijay gained 10% on his outlay. How many pens did Vijay buy?

A and B started a business with a total capital of Rs. 30,000. At the end of the year, they shared the profit in the ratio of their investments. If their capitals were interchanged, then A would have received 175% more than what he actually received. Find out the capital of B

Let 'a' be a prime number and 'b' is a composite number such that a + b=240. Also the L.C.M. of a and b is 4199 . Find the value of a and b respectively.

The median and mode respectively of a frequency distribution are 26 and 29. Then its mean is

The system of equations x+2y+3z=4,2x+3y+4z=5,3x+4y+5z=6 has

Brishti went on an 8-hour trip in a car. Before the trip, the car had travelled a total of x km till then, where x is a whole number and is palindromic, i.e., x remains unchanged when its digits are reversed. At the end of the trip, the car had travelled a total of 26862 km till then, this number again being palindromic. If Brishti never drove at more than 110 km/h, then the greatest possible average speed at which she drove during the trip, in km/h, was

The number of all natural numbers up to 1000 with non-repeating digits is

A special lottery is to be held to select a student who will live in the only deluxe room in a hostel. There are 100 Year-Ill, 150 Year-II, and 200 Year-I students who applied. Each Year-III’s name is placed in the lottery 3 times; each Year-II’s name, 2 times; and each Year-I’s name, 1 time. What is the probability that a Year-III’s name will be chosen?

A 14.4 kg gas cylinder runs for 104 hours when the smaller burner on the gas stove is fully opened while it runs for 80 hours when the larger burner on the gas stove is fully opened. Which of these values are closest to the percentage difference in the usage of gas per hour, of the smaller burner over the larger burner?

A right circular cylinder has a height of 15 units and a radius of 7 units. A rectangular solid with a height of 12 units and a square base is placed in the cylinder such that each of the corners of the solid is tangential to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. The volume of the liquid is

Two workers, 'A' and 'B', working together, completed a job in 5 days. Had 'A' worked twice as efficiently as he actually did and 'B' worked one-third as efficiently as he actually did, the work would have been completed in 3 days. In how many days could 'A' alone have completed the job?

The average of nine numbers is M and the average of three of these is P. If the average of remaining numbers is N, then

Bipin is 6 times old as Alok. Bipin's age will be twice of Chandan's age after 10 years. If Chandan's 7th birthday was celebrated 3 years ago, what is Alok's present age?

A milk vendor bought 28 litres of milk at the rate of Rs. 8.50 per litre. After adding some water, he sold the mixture at the same price. If his gain is 12.5%, how much water did he add?

The ratio of milk to water in a mixture is 2 : 3 and the ratio of water to milk in another mixture is 3 : 4. What will be the ratio of milk to water if 70 litre of each type of mixture is added to 100 litre of pure milk?

In an exam 49% candidates failed in English and 36% failed in Hindi and 15% failed in both subjects. If the total number of candidates who passed in English alone is 630. What is the total number of candidates appeared in exam?

In a factory, each day the expected number of accidents is related to the number of overtime hour by a linear equation. Suppose that on one day there were 1000 overtime hours logged and 8 accidents reported and on another day there were 400 overtime hours logged and 5 accidents. What is the expected number of accidents when no overtime hours are logged?