First things first, on questions like these, I’ll look at planning a
strategy that can help me
cut my losses. And the best way to do that is
to use options to back up my concepts.
When we look at the question, the
question is asking us the least possible number that satisfies certain conditions. Logically, I would look at
the first three options as more probable than the last two. This is
not to generalize that the bigger numbers can never be the answers, but only to say that this gives us a way to start off with the solution. If the first three options do not work out, it actually makes your job easier. I hope this makes sense.
The question says that
when the unknown number is divided by 5, it gives a number; it also says that
when the same unknown number is divided by 34, it gives some remainder. Do you observe the difference in the wordings?
In the first case, you got a number, whereas, in the second case, you obtained a remainder. This is a subtle, but definite clue that
the unknown number is divisible by 5 but not by 34. This is enough for us to eliminate option A and D.
Let us look at the other options now. Since we are trying to find the least number, the next number I’ll pick will be 75.
When 75 is divided by 5, the number (that is the result) is 15. When 75 is divided by 34, the remainder is 7. We can see that 15 is definitely 8 more than 7. This is exactly what the question says; it says that the result in the first case is 8 more than the remainder in the second case.
As such, the required number has to be 75.
The correct answer option is B.
You now see what I meant by saying that bigger numbers like 680 and 690 are highly improbable answers in such questions. Again, I reiterate that I do not want you to generalize this and assume that bigger numbers can never be the answers, instead, what I want you to understand is
it’s better to try smaller numbers first since they are easier to deal with and also tie in with the concept of finding the least number.
Hope that helps!
_________________
Crackverbal Prep Team
www.crackverbal.com