A person travels 3.5 km from place A to place B. Out of this distance, he travels 1 2/3 km on bicycle, 1 1/6 km on scooter and the rest on foot. What portion of the whole distance does he cover on foot?

(c) 4/21. Explanation: Distance travelled on foot = [7/2- (5/3+7/6)] km = (7/2-17/6) km=2/3 km. ∴ Required fraction =((2 / 3))/((7 / 2))= (2/3 × 2/7)=4/21.

A person travels 3.5 km from place A to place B. Out of this distance, he travels 1 2/3 km on bicycle, 1 1/6… · ABC26GN1117

Subject: General Aptitude · Chapter: Simplification

A person travels 3.5 km from place $A$ to place $B$. Out of this distance, he travels $1 \frac{2}{3} \mathrm{km}$ on bicycle, $1 \frac{1}{6} \mathrm{km}$ on scooter and the rest on foot. What portion of the whole distance does he cover on foot?

(a)$\frac{3}{19}$

(b)$\frac{4}{11}$

(c)$\frac{4}{21}$

(d)$\frac{5}{6}$

Answer

Answer (as printed): C

Explanation

Distance travelled on foot $=\left[\frac{7}{2}-\left(\frac{5}{3}+\frac{7}{6}\right)\right] \mathrm{km}$ $$=\left(\frac{7}{2}-\frac{17}{6}\right) \mathrm{km}=\frac{2}{3} \mathrm{km} .$$ $$\therefore \quad \text { Required fraction }=\frac{(2 / 3)}{(7 / 2)}=\left(\frac{2}{3} \times \frac{2}{7}\right)=\frac{4}{21} .$$

Study loop for Simplification

1. Practise the PYQsPrevious-year questions, with answers

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