The value of 1/4+1/(4 × 5)+1/(4 × 5 × 6) correct to 4 decimal places is · ABC26GN0735
Subject: General Aptitude · Chapter: Decimal Fractions
The value of $\frac{1}{4}+\frac{1}{4 \times 5}+\frac{1}{4 \times 5 \times 6}$ correct to 4 decimal places is
(a)0.3075
(b)0.3082
(c)0.3083
(d)0.3085
Answer
Explanation
$$\begin{aligned} \frac{1}{4}+\frac{1}{4 \times 5}+\frac{1}{4 \times 5 \times 6} & =\frac{1}{4}\left(1+\frac{1}{5}+\frac{1}{30}\right) \\ & =\frac{1}{4}\left(\frac{30+6+1}{30}\right)=\frac{1}{4} \times \frac{37}{30} \\ & =\frac{37}{120}=0.3083 \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
Study loop for Decimal Fractions
· Browse this chapter in the app