If the 7th day of a month is three days earlier than Friday, What day will it be on the 20th day of the month?
- (a)Monday
- (b)Tuesday
- (c)Sunday
- (d)Wednesday
Answer
Why
Correct — A.
Rule: a weekday repeats every 7 days, so only the remainder after dividing by 7 moves the day.
7th = three days before Friday = Tuesday
Gap to the 20th: 20 − 7 = 13 days
13 ÷ 7 leaves remainder 6
Tuesday + 6 days = Monday → option (a).
Why the others are wrong
- (b)Tuesday — Tuesday falls on the 7th, 14th and 21st. The 20th is the day before the 21st, so it is Monday.
- (c)Sunday — Sunday is the 19th, Tuesday + 5. The 7th to the 20th is 13 days, remainder 6, not 5.
- (d)Wednesday — Wednesday is the 15th and the 22nd. From Tuesday the 7th it needs a remainder of 1, and 13 days leave 6.
Concept
Day-of-the-week items reduce to one sum: known day + (gap in days, mod 7). Fix the anchor date first, count the gap, and throw away whole weeks.
A check by weeks: Tuesday on the 7th means Tuesday on the 14th and 21st, so the 20th is the day before, Monday.
Key facts
- Three days before Friday is Tuesday: Thursday, Wednesday, Tuesday.
- Dates 7 days apart share a weekday: the 7th, 14th, 21st and 28th.
- Day shift = (later date − earlier date) mod 7, here 13 mod 7 = 6.
Study next
Common traps
- Counting Friday as one of the three days, which puts the 7th on Wednesday and the 20th on Tuesday
- Counting both ends, 20 − 7 + 1 = 14 days, which also lands on Tuesday
23 Sep 2025, 09:00, Reasoning Q.3 uses the same days-before and days-after counting on dates: Darjeeling on 2nd March, Siliguri 3 days later, Kalimpong 1 day before Siliguri, so 4th March (keyed b).
Related PYQs
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