Mega quiz 6 and weekly revision || Quantitative Aptitude || CAT 2021 || 25 April (App update required to attempt this test)

Prabul, Sumit and Ravi are assigned to complete the construction of building, which they can complete by working together in 14 days. Their efficiencies are in the ratio 1 : 3 : 4 respectively. After half of the work is completed, any one of them must be withdrawn due to a budget constraint. If their wages per day are in the ratio 2 : 4 : 5 respectively and the work is done at optimal cost, the number of days in which the remaining two persons can complete the construction of building

One Bakery has to make 810 cakes and another one 900 cakes during the same period of time. In the first bakery, the order was ready 3 days in advance, whereas in the second bakery, 6 days in advance. How many cakes did each bakery make a day if the second bakery made 21 cakes more a day than the first?

Three friends A, B and C can together complete a work in 8 days. If C refused to work with them, then A and B together can complete the work in 10 days and A alone can complete the work in 16 days. It was decided that A and C will together complete 70% of the work and the rest will be completed by B alone. The total time taken by them to complete the work is:

Abhinav has been growing two types of bacteria P and Q in two different enclosures on a particular day. P bacteria had a starting population of 2, while Q Bacteria had a starting population of 8. However, P bacteria starts growing five hours before the Q bacteria starts growing. On the same day at 8 p.m., Abhinav checks the enclosures and finds that the two types of bacteria have the same population. If the population of P doubles every hour, but the population of Q is quadrupled every hour, at what time did he start growing Q?

Ashu starts work at his maximum efficiency rate; but afterwards the rate at which he works follows a cyclic pattern. Every two hours, it reduces by half but after 8 hours, it comes back to its maximum level. He can complete a job in 602 hours at his maximum rate. How many hours would he take to complete the job if his rate follows the cyclic pattern?

Three inlet pipes A, B and C are connected to a water tank. Pipes A and B can together fill the tank in 20 mins and pipes A and C can together fill the tank in 25 mins. If the time taken by pipe B alone to fill the tank is the harmonic mean of time taken by pipes A and C individually to fill the tank, then find the time (in minutes) in which pipe B alone can fill the tank?

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Pipe A can fill a tank in ‘n’ hours and pipe B can fill a tank in (n + 6) hours. If together they can fill the tank in 4 hours, then find the time taken by Pipe A alone to fill a tank whose capacity is twice of the original tank.

Rahim started a journey 15 minutes late, and as a result, had to drive at a speed of 54 km/h instead of 45 km/h to reach his destination on time. What is the distance covered during the course of the journey?

Mohit starts moving from a place A and reaches the place B in 12 hours. He covers 1/5^th part of the total distance at the speed of 6 km/hr and covers the remaining distance at the speed of 8 km/hr. What is the distance between A and B?

A man runs at a speed of 10 km/h. After every kilometer, he takes a rest for 2 minutes. How much time will he take to cover a distance of 17 km?

The ratio between the rates of travelling of A and B is 2 : 3 and therefore A takes 20 min more than time taken by B to reach a destination. If A had walked at double the speed. How long would he have taken to cover the distance?

A girl completed her journey by car at variable speeds. If she covered 20% of the distance at a speed of 10km/hr, 50% of the distance at 25 km/hr and the remaining distance at 7.5 km/hr. Then, what was her average speed during the entire journey?