Discussion
There are four married couples in a family. Each couple deals in different types of business, i.e., Furniture, Garments, Jewellery and Publishing. The male members of the couples are Ashutosh, Prem, Rajiv and Pappu. The female members are Rosy, Rinku, Rupu and Nitu. Once they were invited to my house on the occasion of my son's birthday. Each couple came one after another.
(i) Rajiv arrived immediately after the couple who deals in Garments but immediate before Rupu.
(ii) Prem arrived immediately before Rosy.
(iii) Pappu deals in Books.
(iv) Ashutosh arrived immediately before Rinku (who does not deal in Furniture). Rinku arrived immediately before the couple which deals in Jewellery.
Who came after Ashutosh?
Answer: C
The order of arrival works out uniquely as:
| Order | Husband | Wife | Business |
|---|---|---|---|
| 1 | Ashutosh | Nitu | Furniture |
| 2 | Prem | Rinku | Garments |
| 3 | Rajiv | Rosy | Jewellery |
| 4 | Pappu | Rupu | Books |
Why: Rajiv's couple has the Garments couple just before it and Rupu's couple just after it, so Rajiv is second or third. Ashutosh's couple is followed by Rinku's, which is followed by the Jewellery couple, so Ashutosh is first or second. Prem comes just before Rosy, so Prem cannot be last.
If Rajiv were second, Ashutosh would be first, Rinku would be Rajiv's wife and the third couple would deal in Jewellery. Prem would then be third and Pappu fourth with Books, leaving Furniture for Rajiv and Rinku, which clue (iv) forbids. So Rajiv is third and Rupu's couple fourth. Ashutosh cannot then be second, because Rinku would be third and the fourth couple, Pappu's, would have to deal in Jewellery though Pappu deals in Books. So Ashutosh is first, Rinku's couple second (Garments), Rajiv's third (Jewellery) and Pappu's fourth (Books). Prem must be second, with Rosy in the third couple as Rajiv's wife, and Nitu is Ashutosh's wife.
The arrival right after Ashutosh's couple was Prem and Rinku, as clue (iv) states directly. Rajiv and Rosy came third and Pappu fourth, so none of them came immediately after Ashutosh.
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