Question

How many total Mangoes were there in the basket at the end of the above order sequence?

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is B 2

Order	Contents of Basket
1	1 Mango
2	1 Mango, 1 Orange
3	1 Mango, 1 Orange, 1 Apple
3	1 Mango, 1 Orange, 2 Apple
2	1 Mango, 2 Oranges, 2 Apples
1	2 Mangoes, 2 Oranges, 2 Apples
4	1 Mango, 1 Orange, 2 Apples
2	1 Mango, 2 Oranges, 3 Apples
3	1 Mango, 2 Oranges, 3 Apples
1	2 Mangoes, 2 Oranges, 3 Apples
4	1 Mango, 1 Orange, 3 Apples
2	1 Mango, 2 Oranges, 3 Apples
2	1 Mango, 3 Oranges, 3 Apples
3	1 Mango, 3 Oranges, 4 Apples
3	1 Mango, 3 Oranges, 5 Apples
1	2 Mangoes, 3 Oranges, 5 Apples
4	1 Mangoes, 2 Oranges, 5 Apples
1	2 Mangoes, 2 Oranges, 5 Apples
1	3 Mangoes, 2 Oranges, 5 Apples
3	3 Mangoes, 2 Oranges, 6 Apples
2	3 Mangoes, 3 Oranges, 6 Apples
3	3 Mangoes, 3 Oranges, 7 Apples
4	2 Mangoes, 2 Oranges, 7 Apples

1 2 3 3 2 1 4 2 3 1 4 2 2 3 3 1 4 1 1 3 2 3 4
That's the given sequence
We will use a hypothetical basket and fill it up with the fruits one after the other. We Will first find the number of mangoes, then oranges and then apples.
Number of mangoes is affected by 1 and 4. Number of oranges is affected by 2 and 4. While 3 affects the number of apples.
We will go through the number/order sequence to first determine the number of mangoes by just counting 1s and 4's.
In the given sequence, there are six 1's and four 4's.
Hence we will overall place 6 mangoes and take out 4 mangoes from the basket. In the end we will be left with 2 mangoes.
Now check, the same for oranges.
There are six 2's and four 4's. Hence again there shall be two oranges left in the basked at the end.
There are seven 3's, hence there shall be 7 apples in the basket at the end.
Hence, we shall be left with 2 mangoes, 2 oranges and 7 apples.