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.
Two shops sold dresses in multiple of 9, on successive days. In these two shops, who sold more and on which day?
Explanation:
Let’s break it down clue by clue and see how to land at the answer:
- Days are Monday to Sunday. Shops: L, M, N, O, P, Q, R.
- Dresses sold: 4, 6, 9, 12, 15, 18, 27.
Key hints:
- Two shops sold multiples of 9 on consecutive days. So, options: (9, 18) or (18, 27).
- On Wednesday, 12 dresses were sold.
- The sum of Wednesday and Saturday = Friday.
- Shop L sold after Friday.
- Difference between Monday and Friday is a multiple of 7.
- Q is two shops away from the shop that sold 4 dresses.
- Q sold on a day after the shop which sold 4 dresses.
- Q sold more than O.
- M is just before the shop that sold 9 dresses.
- Three shops between Q and O.
- Two shops between M and R.
- N did not sell the least (not 4).
- Difference between M and R is less than 5.
- The even-numbered dress count (>12), directly after 12, must be 18.
Now, if Wednesday = 12, Thursday = 18.
If Wednesday + Saturday = Friday, and Wednesday is 12, then Friday = 12 + x (x > 10), so Friday can only be 27, as that's the only one > 22 in the list.
So, Friday = 27.
If Thursday = 18, Friday = 27, Wednesday = 12.
Consecutive multiples of 9: 18 (Thursday), 27 (Friday).
Pop those with the shop names:
- Who sold which?
- Two shops sold 18 and 27 on Thursday and Friday. Friday’s shop beats Thursday’s in the number of dresses.
So, which shops could these be?
Let’s look at the options:
1. R, Wednesday (Wednesday is 12—not a 9-multiple with 27 or 18—so no way.)
2. L, Monday (Only one multiple is 9 among low numbers—no, not a set.)
3. O, Wednesday (Again, not a 9-multiple set.)
4. R, Thursday (If R is Thursday, then shop next is Friday with more dresses.)
5. Q, Friday (Q on Friday, after a 9-multiple previous day, fits—since Q, Friday = 27, Thursday = 18.)
Here’s what this means: Q sold more on Friday after a shop sold 18 on Thursday. Plus, the clue that Q sold more than O is satisfied.
So the right answer is:
Q, Friday (option 5)
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Key pointers:
- Consecutive 18, 27 on Thursday and Friday.
- Q (Friday) sold more than O, fits all placement and quantity clues.
- Breakdown matches all logical steps and given statements.