Question : What is the value of $999 \frac{1}{2} + 999 \frac{1}{6} + 999\frac{1}{12}+999 \frac{1}{20} + 999\frac{1}{30}?$
Option 1: $999\frac{1}6$
Option 2: $999\frac{5}6$
Option 3: $4995\frac{1}6$
Option 4: $4995\frac{5}6$
Correct Answer: $4995\frac{5}6$
Solution : $999 \frac{1}{2} + 999 \frac{1}{6} + 999\frac{1}{12}+999 \frac{1}{20} + 999\frac{1}{30}$ = $5\times 999+( \frac{1}{2} + \frac{1}{6} + \frac{1}{12}+\frac{1}{20} + \frac{1}{30})$ = $4995+( \frac{1}{1\times 2} + \frac{1}{2\times 3} + \frac{1}{3\times 4}+\frac{1}{4\times 5} + \frac{1}{5\times 6})$ = $4995+(\frac{1}{1}-\frac{1}{2} + \frac{1}{2} -\frac{1}{3}+ \frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5} + \frac{1}{5}-\frac{1}{6})$ = $4995 +(\frac{1}1-\frac{1}6)$ = $4995\frac{5}6$ Hence, the correct answer is $4995\frac{5}6$.
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : What is the value of $111\frac{1}{2} + 111\frac{1}{6} + 111\frac{1}{12} + 111\frac{1}{20} + 111\frac{1}{30}?$
Question : The value of $\frac{\frac{5}{2}-\frac{3}{7} \times 1 \frac{4}{5} \div 3 \frac{6}{7}}{\frac{3}{2}+1 \frac{2}{5} \div 3 \frac{1}{2} \times 1 \frac{1}{4}}$ is:
Question : When simplified, the product $(2- \frac{1}{3}) (2-\frac{3}{5}) (2- \frac{5}{7}) .... (2- \frac{997}{999})$ equals:
Question : If $\cos ^4 \alpha-\sin ^4 \alpha=\frac{5}{6}$, then the value of $2 \cos ^2 \alpha-1$ is:
Question : If $\frac{1}{N}=\frac{(\sqrt6+\sqrt5)}{(\sqrt6-\sqrt5)}$, what is the value of $N$?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile