Quantitative Ap...

There were 500 seats in a cinema hall placed in N identical rows. After the renovation of the hall the total number of seats became 450. The number of rows was reduced by 5 but each row contained 5 seats more than before. What were the total number of rows and total number of seats in a row respectively in the hall before the renovation?

When five is added to three times a number and the result is squared, the result obtained is four times the square of the sum of the number and its next multiple. What could be the number?

A car and a bus start from a same point in the same direction. After T hrs the car is 45km ahead of the bus, while after 9hrs distance between the car and the bus is same as distance covered by the car in one hour. If relative speed of the car and the bus if they move towards each other is 255km/h, then how much distance (in km) can the car cover in 

The lengths of the sides of the triangle are x, 21, and 40, where x is the shortest side. A possible value of x is

Bheem, Jaggu and Raju start from Dholakpur at the same time on their cycles to go to Sultanpur. Bheem reaches Sultanpur first and turns back and meets Jaggu at a distance of 9 miles from Sultanpur. When Jaggu reaches Sultanpur, he too turns back and meets Raju at a distance of 7 miles from Sultanpur. If 3 times the speed with which Bheem cycles at a speed which is equal to 5 times Raju’s speed, what could be the distance (in miles) between the points Dholakpur and Sultanpur?

In triangle ABC, point D lies on AC such that AD:DC = 1:2. Let E denote the midpoint of BD, and let point F be the intersection of BC and AE (when produced). If the area (in sq. cm) of triangle ABC is 180cm², what is the area of triangle EBF?

a, b, c are three distinct integers from 2 to 10 (both inclusive). Exactly one of ab, bc and ca is odd. abc is a multiple of 4. The arithmetic mean of a and b is an integer and so is the arithmetic mean of a, b and c. How many such triplets are possible (unordered triplets)?

Out of 40% of the total number of matches, a badminton player has won 8 matches and lost 4 of them. If it's true that no match can end in a tie, what is the maximum number of matches he can lose and still win more than 60% of the total number of matches?

A factory produces three types of products – P, Q, and R. The average cost of producing one unit of product P is Rs.200, for Q is Rs.250, and for R is Rs.300. The number of units produced for P, Q, and R are in the ratio 5:6:9, respectively. During a cost audit, it was found that 40% of the units of product P were defective and had to be reworked, increasing their cost by 25%. Similarly, 30% of the units of product Q were defective, increasing their cost by 30%, and 20% of the units of product R were defective, increasing their cost by 20%. The rest of the units were produced at their original cost. If the selling prices for P, Q, and R are Rs.250, Rs.320, and Rs.380 per unit, respectively, what is the overall percentage profit or loss for the factory?

Five men and eight women complete a task in 28 days. If the women are at least half as efficient as the men, but not more efficient than the men, then the possible number of days for 4 women and 3 men to complete the same task lies in the range?