ABC26GN0736 · Decimal Fractions

Subject: General Aptitude · Chapter: Decimal Fractions · Exam: · Marks: · Difficulty:

Find the value of the following expression upto four places of decimals. $$\left[1+\frac{1}{1 \times 2}+\frac{1}{1 \times 2 \times 4}+\frac{1}{1 \times 2 \times 4 \times 8}+\frac{1}{1 \times 2 \times 4 \times 8 \times 16}\right]$$

(a)1.6414

(b)1.6415

(c)1.6416

(d)1.6428

Answer

Answer (as printed): C

Explanation

$$\begin{aligned} \text { Given expression } & =\frac{2 \times 4 \times 8 \times 16+4 \times 8 \times 16+8 \times 16+16+1}{2 \times 4 \times 8 \times 16} \\ & =\frac{1024+512+128+16+1}{1024} \\ & =\frac{1681}{1024}=1.6416 \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

Open in whiteboard · Browse this chapter in the app