The sum of three numbers is 2, the 1st number is $$\frac{1}{2}$$ times the 2nd and the 3rd number is $$\frac{1}{4}$$ times the 2nd number. The 2nd number is :
A. $$\frac{7}{6}$$
B. $$\frac{8}{7}$$
C. $$\frac{9}{8}$$
D. $$\frac{10}{9}$$
Answer: Option B
Solution(By Examveda Team)
Let the number is a, b, ca + b + c = 2
a = $$\frac{1}{2}$$ b.....(i)
c = $$\frac{1}{4}$$ b.....(ii)
$$\frac{a}{b}$$ = $$\frac{1}{2}$$
$$\frac{b}{c}$$ = $$\frac{4}{1}$$
a | : | b | : | c |
1 | : | 2 | ↘ | |
↘ | 4 | : | 1 | |
4 | : | 8 | : | 2 |
(2 + 4 + 1) = 7
7 units → 2
1 unit → $$\frac{2}{7}$$
4 units → $$\frac{2}{7}$$ × 4 = $$\frac{8}{7}$$
So, 2nd number is $$\frac{8}{7}$$
Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
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