Saturday, May 26, 2018

Answers Week 3

Logical 5 - Number Test
How many 5s are there in the following number sequence which are immediately proceeded by 7 and immediately followed by 6?


7 5 5 9 4 5 7 6 4 5 9 8 7 5 6 7 6 4 3 2 5 6 7 8 


7 5 5 9 4 5 7 6 4 5 9 8 7 5 6 7 6 4 3 2 5 6 7 8
There is only one 5 immediately preceded by 7 and immediately followed by 6.


Quants 5 - Calendar
What will be the day on October 15, 2020?
15th October 2020 = 2019 years + (Jan 1, 2020 to Oct 15, 2020)
Odd Days:
2000 = 0 Odd Days
19 Years = 4 Leap Years + 15 Ordinary Years
               = (4 * 2) + (15 * 1) = 23 days = 3 weeks + 2  day = 2 Odd Days
So, 0+2 = 2 Odd Days till 2019.
For 2020, counting days from Jan to Oct,
31 + 29 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 15 = 289 days = 41 weeks + 2 days = 2 Odd Days
So, 2 + 2 = 4 Odd Days
As Odd day 4 corresponds to Thursday, 15th October, 2020 is THURSDAY.



Verbal 3 - Sentence Completion 
He is my best friend, _______ I can't avoid inviting him. (Identify the part of speech to complete the sentence)
so - conjunction


Quants 6 - Alligation
In what ratio must water be mixed with milk costing 12 per litre to obtain a mixture worth of 8 per litre?

Cost Price of water (c) = 0
Cost Price of milk (d) = 12
Mean price (m) = 8
Cheaper quantity (d-m) = 12 - 8 = 4
Dearer quantity (m-c) = 8 - 0 = 8
Required Ratio of Water to Milk = 4 : 8 = 1 : 2


Quants 7 - Clocks
At 3.40, the hour hand and the minute hand of the clock form an angle of ___.

Angle traced by the hour hand in 12 hours = 360˚.
Angle traced by it in 3.40 hours ie 3 (2/3) => 11/3 = (360/12) * ( (11/3) = 110˚
Angle traced by minute hand in 60 minutes = 360˚.
Angle traced by it in 40 minutes = (360/60) * 40 = 240˚.

Required angle = 240˚ - 110˚ = 130˚.

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