#### Doctor: Patient :: Lawyer: ?

Explanation: First works for the second.

#### In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :

Explanation: Total number of votes = 7500 Given that 20% of Percentage votes were invalid => Valid votes = 80% Total valid votes = 7500 * 80% 1st candidate got 55% of the total valid votes. Hence the 2nd candidate should have got 45% of the total valid votes => Valid votes that 2nd candidate got = total valid votes * 45% = 7500 * 80% * 45% = 2700

#### What was the day of the week on, 16th July, 1776?

Explanation: 16th July, 1776 = (1775 years + Period from 1st Jan, 1776 to 16th July, 1776) Counting of odd days : 1600 years have 0 odd day. 100 years have 5 odd days. 75 years = (18 leap years + 57 ordinary years) = [(18 x 2) + (57 x 1)] = 93 (13 weeks + 2 days) = 2 odd days. 1775 years have (0 + 5 + 2) odd days = 7 odd days = 0 odd day. Jan Feb Mar Apr May Jun Jul 31 + 29 + 31 + 30 + 31 + 30 + 16 = 198 days= (28 weeks + 2 days) Total number of odd days = (0 + 2) = 2. Required day was 'Tuesday'.

#### How many pairs of letters in the word 'CHAIRS' have as many letters between them in the word as in the alphabet?

Explanation: Letters in the word Letters in the alphabet C H A C B A R S R S

#### If the LCM and HCF of two numbers are equal, then the numbers must be

Explanation: If LCM = HCF then, the two numbers are equal.