In the figure given below the triangle represents balls, the circle represents chairs and the rectangle represents wickets. The number in each area represents the number of items in that area.
Which of the following statement is correct?
I. Number of wickets which are only chairs are 10.
II. Total number of balls are 14 less than the total number of wickets.
Show answer & explanation
Correct answer: A
Explanation
I. The number of wickets, which are only chairs, is 10.
We see the region that is inside both the rectangle (wickets) and the circle (chairs), but outside the triangle (ball).
In the diagram, the number 10 is in the region that is in the intersection of the rectangle and the circle and outside the triangle.
Hence, Statement I is correct.
II. The total number of balls is 14 less than the total number of wickets.
Total number of balls (all numbers inside the triangle):
8 + 11 + 7 + 12 = 38
Total number of wickets (all numbers inside the rectangle):
13 + 10 + 8 + 11 = 42
Difference:
42 − 38 = 4
The statement says that the difference is 14, which is false.
Hence, Statement II is incorrect.
Conclusion:
Only Statement I is correct.