Three numbers which are co-prime to each other are such that the product of the first two is $551$ and that of the last two is $1073$. The sum of the three numbers is:

Not including stoppages, the speed of a bus is $54 km/hr$. and including stoppages, it is $45 km/hr$. For how many minutes does the bus stop per hour?

A dealer mixes $26 kg$ of rice at $Rs 20$ per $kg$ with $30 kg$ of rice of other variety at $Rs 36$ per $kg$ and sells the mixture at $Rs 30$ per $kg$. What is his profit percent is?

Randheer's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems. Although he answered 70% of arithmetic, 40% of algebra and 60% of geometry problems correctly, still he got less than 60% problems right. How many more questions he would have to answer more to get passed?

In Aniket's opinion, his weight is greater than $65 kg$ but less than $72 kg$. His brother does not agree with Aniket and he thinks that Aniket's weight is greater than $60 kg$ but less than $70 kg$. His mother's view is that his weight cannot be greater than $68 kg$. If all are them are correct in their estimation, what is the average of different probable weights of Aniket?

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point.

Direction: Read  the sentence carefully and determine whether there is any grammatical or idiomatic error in it. The error, if any, will be in one part of the sentence. The letter of that part is your answer.

(a) Many a man/(b) have/(c) been working/(d) under me.

Direction: Read the sentence carefully and determine whether there is any grammatical or idiomatic error in it. The error, if any, will be in one part of the sentence. The letter of that part is your answer.

(a) Cattles/(b) were grazing/(c) in the meadows/(d) near our farm.