Subject: General Aptitude · Chapter: Average · Exam: · Marks: · Difficulty:
Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75. The largest of these numbers is
(a)9
(b)25
(c)30
(d)None of these
Answer
Answer (as printed): D
Explanation
Let the fourth number be $x$. Then, third number $=5 x$, second number $=\frac{5 x}{3}$ and first $$\begin{aligned} & \text { number }=\frac{10 x}{3} . \\ & x+5 x+\frac{5 x}{3}+\frac{10 x}{3}=(24.75 \times 4) \text { or } 11 x=99 \text { or } x=9 . \end{aligned}$$ So, the numbers are 9, 45, 15 and 30. $\therefore \quad$ Largest number $=45$.
Explanation as extracted from the printed page; notation may be imperfect.