Logical 17 - Quantitative Reasoning

A, B, C and D are four friends living together in a flat and they have an agreement that whatever edible comes they will share equally among themselves. One day A’s uncle came to him and gave him a box of laddoos. Since no one was around, A divided the laddoos in four equal parts and ate his share after which he put the rest in the box. As he was closing the box, B walked in, took the Box from A & divided the ladoos in 4 equal parts & A & B took one part each and ate it. Suddenly C appeared and snatched the box. He again divided the laddoos in four equal parts, the three of them ate one part each and kept the remaining laddoos in the box. Later when D came he again divided the laddoos in four equal parts and all four ate their respective share. In total D ate 3 laddoos.

1. How many laddoos, in total did C eat?
(a) 12
(b) 15
(c) 39
(d) None of these

2. How many laddoos, in total did B eat?
(a) 24
(b) 15
(c) 39 
(d) None of these

3. How many laddoos, in total did A eat?
(a) 56
(b) 68
(c) 71 
(d) None of these

4. How many laddoos were given to A by his Uncle?
(a) 128
(b) 125
(c) 113
(d) None of these

5. How many laddoos did A eat the first time?
(a) 32 
(b) 24
(c) 15
(d) None of these


The following structure would work:

Hence, the answers are:
1. 3 + 12 = 15 (b)
2. 3 + 12 + 24 = 39 (c)
3. 3 + 12 + 28 + 32 = 71 (c)
4. 128 (a)
5. 32 (a)

Time to Think:

A man would like to take a new health insurance. An officer taking care of these matters says to the man, “Please tell me how many children you have.” The man answers, “I have three of them.” The officer, “What are the ages of your children?” The man answers, “The product of the ages is equal to 36.” The officer replies, “This is not enough information Sir!”; the man replied, “Sorry that I was a little bit unclear, but the sum of the ages is equal to the number of shops in front of your office.” The officer: “This still isn’t enough information Sir!”; The man replies, “My oldest child loves chocolate.” The officer: “Thanks for your cooperation, I now know the ages.” Are you as smart as the officer? Then give the sum of the ages of the children.

a. 13 
b. 22
c. 36 
d. 38