In a village far far away, by name Foolistan, there are four kinds of people: Dumbos, Idiots, Fools and Morons. The village has each of these people in equal numbers, people in the village belong to exactly one of the four kinds. Everyday, people in this village have the habit of making assess of themselves. However, some rules are followed. A person may not make an ass of himself (or herself) at all. Idiots commit twice the number of blunders as do Dumbos, Fools thrice as many as Idiots and Morons four times as many as Fools. However, by a strange fact of the tribe, if even one person of a kind commits zero blunders, no one in the group commits a blunder. Every Dumbo commits the same number of blunders as every other Dumbo. Use these facts to answer the next four questions.
Questions:
1. On a particular day, 66,000 blunders were committed. Which of the following is not possible?
(Assume the total population is 400)
(1) A Fool did not commit any blunder
(2) An Idiot did not commit any blunder
(3) A Moron did not commit any blunder
(4) None of these
2. The population of the village is 400. On a given day every group committed blunders, and Fools
as a group commit 1200 blunders. The total number of blunders committed on that day is:
(1) 5000 (2) 6600 (3) 66000 (4) 6000
3. On a particular day, the Morons don’t commit any blunders, and the other groups may or may not
have committed blunders. Which of the following is the least number of blunders, which certainly
satisfy the above the criteria? (Assume total population = 400)
(1) 600 (2) 100 (3) 2700 (4) 900
4. On a day, all four groups commit blunders and a Dumbo commits 3 blunders. If the population is
400, the total number of blunders on the day is:
(1) 99 (2) 9900 (3) 9000 (4) 990
Answers:
1. (4)
2. (2) It is given that, Blunders committed by Idiots (I) = 2 (Dumbos) ……(i)
Blunders committed by Fools (F) = 3 (Idiots) and ………. (ii)
Blunders committed by Morons (M) = 4 (Fools) ………… (iii)
As, Fools commit 1200 blunders, hence Moron commit 4800 blunders, Idiots, commit 400
blunders & Dumbos commit 200 blunders from (i) , (ii) & (iii).
Hence total numbers of blunders committed = 1200 + 4800 + 400 + 200 = 6600.
3. (2) The population in each group =
400 / 4 = 100
Let us assume that if Dumbos commit the lest number of blunders i.e. 1, hence blunders
committed by Dumbos group = 1 x 100 = 100.
Note: Others may & may not commit blunders. Hence (2).
4. (2) As the population is same in each groups, hence Dumbo’s population =
400 / 4 = 100.
As every Dumbo commits the same number of blunders as every other Dumbo, so total blunders
committed by Dumbos = 3 x 100 = 300.
Now using equations as shown in Q. 135,
Blunders committed by Idiots, Fools & Morons are respectively 600, 1800 and 7200.
∴Total number of blunders of the day = 300 + 600 + 1800 + 7200 = 9900.
Questions:
1. On a particular day, 66,000 blunders were committed. Which of the following is not possible?
(Assume the total population is 400)
(1) A Fool did not commit any blunder
(2) An Idiot did not commit any blunder
(3) A Moron did not commit any blunder
(4) None of these
2. The population of the village is 400. On a given day every group committed blunders, and Fools
as a group commit 1200 blunders. The total number of blunders committed on that day is:
(1) 5000 (2) 6600 (3) 66000 (4) 6000
3. On a particular day, the Morons don’t commit any blunders, and the other groups may or may not
have committed blunders. Which of the following is the least number of blunders, which certainly
satisfy the above the criteria? (Assume total population = 400)
(1) 600 (2) 100 (3) 2700 (4) 900
4. On a day, all four groups commit blunders and a Dumbo commits 3 blunders. If the population is
400, the total number of blunders on the day is:
(1) 99 (2) 9900 (3) 9000 (4) 990
Answers:
1. (4)
2. (2) It is given that, Blunders committed by Idiots (I) = 2 (Dumbos) ……(i)
Blunders committed by Fools (F) = 3 (Idiots) and ………. (ii)
Blunders committed by Morons (M) = 4 (Fools) ………… (iii)
As, Fools commit 1200 blunders, hence Moron commit 4800 blunders, Idiots, commit 400
blunders & Dumbos commit 200 blunders from (i) , (ii) & (iii).
Hence total numbers of blunders committed = 1200 + 4800 + 400 + 200 = 6600.
3. (2) The population in each group =
400 / 4 = 100
Let us assume that if Dumbos commit the lest number of blunders i.e. 1, hence blunders
committed by Dumbos group = 1 x 100 = 100.
Note: Others may & may not commit blunders. Hence (2).
4. (2) As the population is same in each groups, hence Dumbo’s population =
400 / 4 = 100.
As every Dumbo commits the same number of blunders as every other Dumbo, so total blunders
committed by Dumbos = 3 x 100 = 300.
Now using equations as shown in Q. 135,
Blunders committed by Idiots, Fools & Morons are respectively 600, 1800 and 7200.
∴Total number of blunders of the day = 300 + 600 + 1800 + 7200 = 9900.
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