Question

The average of four numbers ‘a’, ‘b’, ‘c’ and ‘d’ is 60. The value of ‘c’ is 16.67% more than the value of ‘d’. The value of ‘a’ is 8 more than the value of ‘c’. The ratio between the values of ‘b’ and ‘d’ is 3:2 respectively. Which of the following statements is/are true? (It is assumed that each of the numbers is natural.) (i) The value of ‘d’ is the multiple of 6. (ii) The value of ‘a’ is 16 more than the value of ‘d’. (iii) The value of ‘c’ is 54.

A Only (i) and (iii)
B Only (ii) and (iii)
C Only (i) and (ii)
D Only (iii)
E All (i), (ii) and (iii)
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