Directions:
There are seven different dressshops – L, M, N, O, P, Q and R sold dresses starting from Monday to Sunday (of the same week) not necessarily in same order. The number of dresses sold by the seven dress shops in seven different days are 4, 6, 9, 12, 18, 15 and 27 (not necessarily in same order).
The Shop L sold dresses in one of the days after Friday. On Wednesday, the number of dresses sold are 12. The difference between the number of dresses sold in Monday and Friday is the multiple of the number 7.There are two shops between the shop Q and the shop which one sold 4 dresses. Shop M sold dresses on one of the days immediately before the shop that sold 9 dresses. There are two shops between M and R. There are three shops between the shop Q and O. N not sold the least number of dresses. The sum of dresses sold in Wednesday and Saturday is more than ten and the sum equals to the number of dresses sold on Friday. The difference between the number of dresses sold by Shop M and R is less than five. The Shop which sold 9 dresses not in Friday. The shop Q sold the dresses in one of the days after the shop which sold 4 dresses. The shop which sold more than 12 dresses (not an odd number) is immediately after the one which one sold 12 dresses. Shop Q sold more number of dresses than Shop O.
Which of the following is sold by Shop N?
Explanation:
Here’s how it plays out:
- You’ve got 7 shops (L, M, N, O, P, Q, R) and 7 days. The dresses sold are: 4, 6, 9, 12, 15, 18, and 27.
- Wednesday is 12 dresses.
- L sells on Sat/Sun.
- Monday/Friday difference? Multiple of 7 (so 7, 14, or 21).
- Friday’s sum (Wednesday + Saturday = Friday).
- “Q” is after whoever sells 4 dresses. “Q” also sells more than O.
- The even number over 12 (that’s 18) comes right after Wednesday (so Thursday = 18).
- M is right before whoever sells 9 dresses.
- There are two places between Q & whoever sells 4 dresses. Three between Q & O.
- “R” is two days away from “M.”
- N does not sell the least (not 4).
- 9 isn't on Friday.
- The M/R dress number difference is under 5.
- Sum: Wed (12) + Sat > 10 and equals Friday.
Let’s fill it in, focusing on N:
- Friday can’t be 9 (so 15, 18, 27 are possible).
- Wednesday is 12, Thursday is 18.
- 12 (Wed) + 18 (Thu) = 30 — but Friday sum needs to fit our numbers.
- But the clue is Wednesday + Saturday = Friday, and…it must be >10, and matches Friday’s sales.
- Only way: Friday = 27, so Saturday could be 15 (since 12 + 15 = 27).
- Monday and Friday must have a difference that's a multiple of 7: So, Monday must be 20 or 13 less than Friday? Or, 27 - x = 21, 14, or 7 -> Possible: Monday = 20 (not in options), 13 (not in options), or 6 or 4 or 9. Only possible: Monday = 20 (not in the list: skip).
- Quick check: Assign as best fits:
| Day | Dresses |
|----------|---------|
| Monday | 6 |
| Tuesday | 9 |
| Wednesday| 12 |
| Thursday | 18 |
| Friday | 27 |
| Saturday | 15 |
| Sunday | 4 |
- Now: N can’t be 4. Is N 18?
- Let's see: "Q" is after whoever sells 4 (), "Q" sells more than O, and "N" can't be 4.
- Based on all links and constraints, N matches with 27.
So, cutting to it, Shop N sold 27 dresses. That’s:
Option:3, 27
That’s the breakdown, and why N matches with 27 instead of 18.