Question 12

Consider a triangle drawn on the X-Y plane with its three vertices at (41, 0), (0, 41) and (0, 0), each vertex being represented by its (X,Y) coordinates. The number of points with integer coordinates inside the triangle (excluding all the points on the boundary) is

Solution

The number of points on x = 1 is 39. The number of points on x = 2 is 38 and so on till x = 39, which has one point.

So, the total is 1+2+3+...+39 = $$\frac{39*40}{2}$$ = 780.

Create a FREE account and get:

All Quant CAT complete Formulas and shortcuts PDF
35+ CAT previous papers with video solutions PDF
5000+ Topic-wise Previous year CAT Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Percentages Questions CAT Averages, Ratio and Proportion Questions CAT Mensuration Questions CAT Quadratic Equations Questions CAT Remainders Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Quant Based LR Questions CAT Special Charts Questions CAT Routes And Networks Questions CAT Coins and Weights Questions CAT 2D & 3D LR Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Vocabulary Questions CAT Miscellaneous Questions CAT Odd One Out Questions CAT Para Jumbles Questions CAT Reading Comprehension Questions

Follow us on

Boost your Prep!

Download App