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Let 75n - 539 = l^2 and 12n - 119 = k^2 . where n is a natural number.

Multiply 75n - 539 = l^2 by 4 to give 300n - 2156 =4l^2 and 12n - 119 = k^2 by 25 to give 300n - 2975 = 25k^2.

Subtract...

Time pressure is one of the hardest aspects of the UKCAT but luckily it is an aspect that you can train for.  Practicing questions under time pressure is very important.  Questions can be obtained from...

This looks pretty daunting, but the key to this sort of a problem, which has come up a couple of times in previous PAT tests, is to recognise that this expression is actually the difference of two squa...

The quantitative reasoning section of the UKCAT is designed to assess general numerical skill, and so may appear quite contrasting from the sort of maths you will be used to in A-Level. You almost need...

First advice I have for you - don't panic! As soon as you enter the room panicking, you will lose control of timing, won't pay as much attention to the wording of the passages, and will ultimately not ...