Friday, May 11, 2018

Answers Week 1

Quants 1 - Time and Work

A man can do a job in 15 days. His father takes 20 days to complete and his son takes 25 days to do the same. How long it takes, if they all work together?
Man's 1 day work = 1/15
Father's 1 day work = 1/20
Son's 1 day work = 1/25
Man + Father + Son 's 1 hour work = (1/15) + (1/20) + (1/25) = (47/300)
Hence it takes 300/47 = 6.38 = 6.4 days


(Task for the readers, find the days for Gracia to complete the work)
Ziva is twice as good as Gracia and together they finish the piece of work in 20 days. In how many days will Ziva alone do the work?
Ziva's work : Gracia's work = 2:1
Ziva + Gracia's 1 day work = 1/20
Dividing 1/20 in the ratio of 2:1
Gracia's work = (1/20) * 1/3 = 1/60
Hence Gracia takes 60 days to complete the work.


Logical 1 - Blood Relations

Pointing out to a lady, Raja said, "She is the daughter of the woman who is the mother of the husband of my mother." Who is the lady to Raja?
Mother's husband - Father; Father's mother - Grandmother; Grandmother's daughter - Aunt
Hence, the lady is Raja's Aunt.


Verbal 1 - Error Correction

The man told to her (a) / that he had not brought his dog (b) / out for a walk as he was afraid that it would rain. (c)
(a) is the error part.
Correction - The man told her. (to doesn't follow told, to is followed after said in indirect assertive sentences)


Quants 2 - Calendar

What was the day of the week on 6th February, 2015?
6th February 2015 = 2014 years + (Jan 1, 2015 to Feb 6, 2015)
Odd Days:
2000 = 0 Odd Days
14 Years = 3 Leap Years + 11 Ordinary Years
               = [ ( 3 * 2) + ( 11 * 1 ) ] = 17 days = 2 weeks + 3 days = 3 Odd Days
So, 0 + 3 = 3 Odd Days till 2014.
For 2015, counting days from Jan to Feb,
31 + 6 = 37 days = 5 weeks + 2 days = 2 Odd Days
So, 3 + 3 = 5 = 5 Odd Days
As Odd day 5 corresponds to Friday, 6th February, 2015 is FRIDAY.


Logical 2 - Coding and Decoding

If FISH is written as EHRG in a certain code, how will JUNGLE be written in that code?
Answer is ITMFKD
Each letter in the word is moved one step backward to obtain the corresponding letter of the code.

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