Question 44
HardOriginal questionSeven people, Om, Priyanka, Rehan, Shalini, Tushar, Ujjwala and Vikram, live in a seven-storey building, one on each floor. The ground floor is floor 1, and the numbers increase going up. 'Above' or 'below' means anywhere above or below; 'immediately above' or 'immediately below' means the very next floor. The following is known:
1. Om lives on an even-numbered floor, but not on floor 2.
2. Exactly two people live between Om and Shalini.
3. Rehan lives immediately above Ujjwala.
4. Tushar lives below Priyanka, and Priyanka lives below Vikram.
5. Ujjwala lives above Om.
6. Vikram lives below Om.
How many of the seven residents live above Vikram?
Show the answer and explanation
Correct answer: C
Explanation
Clues 4 and 6 give Tushar below Priyanka below Vikram below Om, so at least three people live below Om. With clue 1, Om is on floor 4 or 6.
If Om were on floor 6, Ujjwala (above Om, clue 5) would be on floor 7 and Rehan, immediately above her (clue 3), would have no floor. So Om is on floor 4.
Tushar, Priyanka and Vikram take floors 1, 2 and 3 in that order. Shalini is three floors from Om (clue 2): floor 1 is taken, so she is on floor 7.
Floors 5 and 6 remain for Ujjwala and Rehan, with Rehan immediately above: Ujjwala 5, Rehan 6.
Vikram is on floor 3, so floors 4, 5, 6 and 7 are above him: 4 people.
Worth noting
3 counts only Om, Ujjwala and Rehan and forgets Shalini on the top floor.
- Concept
- Counting everyone above a person
- Typical timeTypical
- 125 s
- Your timeYours
- —
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