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while doing RCs in CAT i attempt 3 RCs in which i manage 10 questions and 7-8 correct, is it correct or need to improve??

I work for/at/with/in XYZ corporation?

px^2-(p-1)x+2p=0, find its range

How to increase the speed in number system problem

Could anyone please explain the last example given at the end of "Introduction to Quadratic equations" video. It is a graph based question asking for the appropriate equation explaining the graph given.

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Q) Ram and Shyam are competing with each other in a friendly community competition in a pool of 50 m length and the race is for 1,000 m. Ram crosses 50 m in 2 min and Shyam in 3 min 15 s. Each time they meet/cross each other, they do handshake’s. How many such handshake’s will happen? (They both start from the same end at the same time.) options: a)18 b)19 c)23 d)20 e)17

find the remainder when 7^99 is divided by 101

In a kilometer race, A beats B by 1 minute. In the same race, B beats C by 30 seconds. If A beats C by 600 m, find the ratio of speeds of A and B. Please share you approach.

A boy travelled half the distance from his house to school at a speed of 10 km/hr. For exactly half of the remaining time he travelled at 15 km/hr and the rest of the time at 20 km/hr. Find his average speed. Options: A) 13 km/hr B) 140/11 km/hr C) 15 km/hr D) 97/6 km/hr