In the figure given below the triangle represents locks, the circle represents bags and the rectangle represents purses. The number in each area represents the number of items in that area.
How many bags are locks?
Show answer & explanation
Correct answer: C
Explanation
From the diagram:
Triangle = locks
Circle = bags
Rectangle = purses
Numbers represent the count of items in each overlapping or non-overlapping region.
We are asked: How many bags are locks?
This means we need the intersection of the circle (bags) and triangle (locks).
Now, Identify the relevant regions
The region with 46 is inside both the circle and triangle (bags and locks, but not purses).
The region with 5 is inside all three shapes (bags, locks, and purses).
Both of these regions represent items that are bags and locks.
Bags and locks = 46 (bags & locks only) + 5 (bags, locks & purses)
46+5=51
Hence, the correct answer is option (3).