Question : The value of $\frac{\frac{1}{3}+[4 \frac{3}{4}–(3 \frac{1}{6}–2 \frac{1}{3})]}{(\frac{1}{5} \text { of } \frac{1}{5} \div \frac{1}{5}) \div(\frac{1}{5} \div \frac{1}{5} \times \frac{1}{5})}$ lies between:
Option 1: 10.2 and 10.8
Option 2: 4.2 and 4.4
Option 3: 8.2 and 8.8
Option 4: 0.4 and 0.9
Correct Answer: 4.2 and 4.4
Solution : Given: $\frac{\frac{1}{3}+[4 \frac{3}{4}–(3 \frac{1}{6}–2 \frac{1}{3})]}{(\frac{1}{5} \text { of } \frac{1}{5} \div \frac{1}{5}) \div(\frac{1}{5} \div \frac{1}{5} \times \frac{1}{5})}$ $=\frac{\frac{1}{3}+[ \frac{19}{4}–(\frac{19}{6}– \frac{7}{3})]}{(\frac{1}{25} \div \frac{1}{5}) \div(\frac{1}{5} \times 5 \times \frac{1}{5})}$ $=\frac{\frac{1}{3}+[ \frac{19}{4}–(\frac{19–7\times 2}{6})]}{(\frac{1}{25} \times 5) \div(\ \frac{1}{5})}$ $=\frac{\frac{1}{3}+[ \frac{19}{4}–\frac{19–14}{6}]}{\frac{1}{5} \div\ \frac{1}{5}}$ $=\frac{\frac{1}{3}+[ \frac{19}{4}–\frac{5}{6}]}{\frac{1}{5} \times 5}$ $=\frac{\frac{1}{3}+[ \frac{57–10}{12}]}{1}$ $=\frac{1}{3}+\frac{47}{12}$ $=\frac{4+47}{12}$ $=\frac{51}{12}$ $=4.25$ Hence, the correct answer is 4.2 and 4.4.
Application | Eligibility | Selection Process | Result | Cutoff | Admit Card | Preparation Tips
Question : The value of $\frac{5-2 \div 4 \times[5-(3-4)]+5 \times 4 \div 2 \text { of } 4}{4+4 \div 8 \text { of } 2 \times(8-5) \times 2 \div 3-8 \div 2 \text { of } 8}$ is:
Option 1: $\frac{9}{8}$
Option 2: $\frac{9}{4}$
Option 3: $\frac{15}{32}$
Option 4: $\frac{89}{4}$
Question : The value of $\frac{5-[2+3(2-2 \times 2+5)-5] \div 5}{4 \times 4 \div 4 \text { of }(4+4 \div 4 \text { of } 4)}$ is:
Option 1: $3 \frac{3}{16}$
Option 2: $4 \frac{3}{80}$
Option 3: $\frac{2}{5}$
Option 4: $7 \frac{3}{5}$
Question : What is the positive value of the following expression? $\sqrt{36 \div 15 \text { of } 2 \text { of }[25 \times 4 \div 4 \text { of }\{29-(8-11) \div(9 \times 5 \div 5 \text { of } 3)\}]}$
Option 1: $1 \frac{5}{6}$
Option 2: $1 \frac{1}{5}$
Option 3: $2 \frac{4}{5}$
Option 4: $2 \frac{3}{5}$
Question : A student was asked to find the value of $\left[(\frac{4}{9} \div \frac{3}{5} \div \frac{3}{2}) \times \frac{9}{25}\right] ×{\left[\frac{2}{3} \text { of } \frac{4}{9} \div\left(3 \times \frac{3}{5} \text { of } \frac{4}{5}\right)\right]}{\frac{2}{3} \div \frac{3}{4} \text { of } 6}$ His answer was $\frac{2}{9}$. What is the difference between his answer and the correct answer?
Option 1: $\frac{1}{12}$
Option 2: $\frac{1}{4}$
Option 3: $\frac{1}{24}$
Option 4: $\frac{1}{6}$
Question : Find the value of the following expression. $\frac{\left[\frac{5}{8}-\left\{\frac{3}{8}-\left(\frac{5}{8}-\frac{3}{8}\right)\right\}\right] \text { of } 8.8-1.2}{4 \frac{1}{6} \div 2.5 \times 2 \div \frac{1}{6} \text { of } 60+\left(\frac{3}{4}-\frac{3}{8}\right)}$
Option 1: $5 \frac{22}{43}$
Option 2: $3 \frac{23}{67}$
Option 3: $4 \frac{44}{85}$
Option 4: $4 \frac{4}{5}$
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile