243 has been divided into three parts such that half of the first part, one-third of the second part and one-fourth of the third part are equal. The largest part is :
A. 74
B. 86
C. 92
D. 108
Answer: Option D
Solution(By Examveda Team)
Let the three parts be A, B and C$$\eqalign{ & {\text{Let }}\frac{A}{2} = \frac{B}{3} = \frac{C}{4} = x \cr & {\text{Then, }}A = 2x,B = 3x{\text{ and }}C = 4x \cr & {\text{So, }}A:B:C = 2:3:4 \cr & \therefore {\text{Largest part :}} \cr & = \left( {243 \times \frac{4}{9}} \right) \cr & = 108 \cr} $$
Related Questions on Problems on Numbers
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
A. 35
B. 36
C. 45
D. 54
E. None of these
A. 9
B. 11
C. 13
D. 15
E. None of these
A. 3
B. 4
C. 9
D. Cannot be determined
E. None of these
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