Here i would like to give weekly puzzles and quiz questions. Answer to the puzzles are sent the blogs email id : blogece08@gmail.com
correct answer with appropriate solutions will be sent back.....
THIS WEEK QUESTIONS :-
* There is a 50m long army platoon marching ahead. The last person in the platoon wants to |
give a letter to the first person leading the platoon. So while the platoon is marching he |
runs ahead, reaches the first person and hands over the letter to him and without stopping |
he runs and comes back to his original position. |
In the mean time the whole platoon has moved ahead by 50m. |
The question is how much distance did the last person cover in that time. Assuming that he |
ran the whole distance with uniform speed. |
question id : 0001
Answer :-
Let me check how many would able to answer or else think of it
Let me see how many will answer for this question ??? hope for the best
Question No :- 2
Answer :-
The last person covered 120.71 meters. |
It is given that the platoon and the last person moved with uniform speed. Also, they both |
moved for the identical amount of time. Hence, the ratio of the distance they covered - |
while person moving forward and backword - are equal. |
Let's assume that when the last person reached the first person, the platoon moved X meters |
forward. |
Thus, while moving forward the last person moved (50+X) meters whereas the platoon moved X |
meters. |
Similarly, while moving back the last person moved [50-(50-X)] X meters whereas the platoon |
moved (50-X) meters. |
Now, as the ratios are equal, |
(50+X)/X = X/(50-X) |
(50+X)*(50-X) = X*X |
Solving, X=35.355 meters |
Thus, total distance covered by the last person |
= (50+X) + X |
= 2*X + 50 |
= 2*(35.355) + 50 |
= 120.71 meters |
Note that at first glance, one might think that the total distance covered by the last |
person is 100 meters, as he ran the total lenght of the platoon (50 meters) twice. TRUE, |
but that's the relative distance covered by the last person i.e. assuming that the platoon |
is stationary. |
==================================== |
Let me see how many will answer for this question ??? hope for the best
Question No :- 2
A contractor had employed 100 labourers for a flyover construction task. He did not allow |
any woman to work without her husband. Also, atleast half the men working came with their |
wives. |
He paid five rupees per day to each man, four ruppes to each woman and one rupee to each |
child. He gave out 200 rupees every evening. |
How many men, women and children were working with the constructor? |
question id : 0002
ANSWER :-
16 men, 12 women and 72 children were working with the constructor. |
Let's assume that there were X men, Y women and Z children working with the constructor. |
Hence, |
X + Y + Z = 100 |
5X + 4Y + Z = 200 |
Eliminating X and Y in turn from these equations, we get |
X = 3Z - 200 |
Y = 300 - 4Z |
As if woman works, her husband also works and atleast half the men working came with their |
wives; the value of Y lies between X and X/2. Substituting these limiting values in |
equations, we get |
if Y = X, |
300 - 4Z = 3Z - 200 |
7Z = 500 |
Z = 500/7 i.e. 71.428 |
if Y = X/2, |
300 - 4Z = (3Z - 200)/2 |
600 - 8Z = 3Z - 200 |
11Z = 800 |
Z = 800/11 i.e. 72.727 |
But Z must be an integer, hence Z=72. Also, X=16 and Y=12 |
There were 16 men, 12 women and 72 children working with the constructor. |
=================================== |
Question No :- 3
Four friends - Arjan, Bhuvan, Guran and Lakha were comparing the number of sheep that they |
owned. |
It was found that Guran had ten more sheep than Lakha. |
If Arjan gave one-third to Bhuvan, and Bhuvan gave a quarter of what he then held to Guran, |
who then passed on a fifth of his holding to Lakha, they would all have an equal number of |
sheep. |
How many sheep did each of them possess? Give the minimal possible answer. |
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send answer to email id : blogece08@gmail.com
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model format
in format subject: solution to puzzle
question id : XXXX |
answer : ************* description about answers (i.e principle behind the solutions and formulaes required in it) |
*** Puzzles are posted in
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