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    Question

    Study the following information carefully and answer the questions below-: Seven friends Amit, Babli, Chand, Deepa, Ekta, Gaurav and Hira lives in a seven-storey building, but not necessarily in the same order. The ground floor is numbered 1 and the topmost floor is numbered 7. Each of them likes different colours Red, Blue, Yellow, Green, Pink, White and Black but not necessarily in the same order. They all were born in different year’s viz. 1953, 1967, 1970, 1977, 1982, 1990 and 2002 but not necessarily in same order. But the date and month of birth of all these persons are same. Calculation is done with respect to the present year 2017 and assuming months and date to be same. The ages of Babli and Amit are perfect cube. The difference between the ages of Amit and Hira is perfect square. The difference between age of Babli and Gaurav is perfect cube. Chand was born in a year which is an even number. The one who was born in 1967 likes Red colour and lives on third floor. There are two persons live between the one who was born in 1967 and one who was born in 1953. The one who was born in 1953 likes Black colour. Deepa lives on top floor and likes Pink colour. There is one person lives between the Ekta and Babli. There are two persons live between Babli and Chand. There is one person lives between the Chand and Gaurav, who likes Green colour. The one who likes White colour live on ground floor but he is not the youngest person. The one who likes Yellow colour is younger than Chand.

    How many persons live between Deepa and

    Chand?
    A One Correct Answer Incorrect Answer
    B Two Correct Answer Incorrect Answer
    C Three Correct Answer Incorrect Answer
    D Four Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    The one who was born in 1967 likes Red colour and lives on third floor. There are two persons live between the one who was born in 1967 and one who was born in 1953. The one who born in 1953 like Black color. So, the one who has born in the year 1953 lives on 6th floor and he like black color. Deepa lives on top floor and likes Pink colour The one who likes White colour live on ground floor but he is not the youngest person. The ages of Babli and Amit are perfect cube. The two perfect cube ages:- 2017 – 1953 = 64 = 4 3 2017 – 1990 = 27 = 3 3 Therefore, Babli and Amit have born in the year 1953 and 1990 not necessarily in same order. Either Babli or Amit lives on 6 th floor. Chand was born in a year which is an even number. The one who likes Yellow color is younger than Chand. Hence, Chand was not born in the year 2002. Chand was born in one of the following year - , 1970, 1982, 1990. The difference between age of Babli and Gaurav is perfect cube Let suppose Babli was born in the year 1953, then his age is 64 years. Now, Age of different people is: 2017 – 1967 = 50 2017 – 1970 = 47 2017 – 1977 = 40 2017 – 1982 = 35 2017 – 1990 = 27 2017 – 2002 = 15 When we subtract: 64 – 50 = 14 64 – 47 = 17 64 – 40 = 24 64 – 35 = 29 64 – 27 = 37 64 – 15 = 49 As, no perfect cube obtained, hence, Not Babli but Amit was born in the year 1953 and Babli was born in year 1990. So, the age of Babli is: 2017 – 1990 = 27 years. Possible year of born of Gaurav who likes Green color is 1970, 1977, 1982 and 2002 Possible age of Gaurav is: 2017 – 1970 = 47 2017 – 1977 = 40 2017 – 1982 = 35 2017 – 2002 = 15 When we subtract: 47 – 27 = 20 40 – 27 = 13 35 – 27 = 8 27 – 15 = 12, As, only is a perfect cube hence, age of Gaurav is 35 years and he born in the year 1982. The difference between the ages of Amit and Hira is perfect square Age of Amit is 64 years, Age of different people is: 2017 – 1967 = 50 2017 – 1970 = 47 2017 – 1977 = 40 2017 – 2002 = 15 When we subtract: 64 – 50 = 14, 64 – 47 = 17 64 – 40 = 24 64 – 15 = 49 As, only 49 is a perfect square, so the age of Hira is 15 hence, he was born in the year 2002. Now, we can understand that out of three possible year of born of Chand which we discussed above (Chand was born in one of the following year - , 1970, 1982, 1990. ) only 1970 is left so, Chand was born in the year 1970. There is one person lives between the Ekta and Babli. There are two persons live between Babli and Chand. There is one person lives between the Chand and Gaurav, who likes Green colour. The only possible combination as per the above reference is

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