Quantitative Aptitude
A right circular cone is 9.8 cm high with the radius of its base 4 cm. It is melted and recast into a right circular cone with the radius of its base 3.5 cm. Find its height. \(\text{(use } \pi = \frac{22}{7}\text{)}\)
Profit of ₹29,120 is divided among A, B and C so that A's share is \(2\tfrac{1}{2}\) times B's and B's share is \(1\tfrac{1}{5}\) times C's. Find B's share.
The table below represents marks obtained by four students A, B, C, and D in four subjects in an examination. The maximum marks for each subject are 100.
| Student | English | Hindi | Math | Science |
| A | 90 | 89 | 100 | 93 |
| B | 85 | 86 | 88 | 95 |
| C | 94 | 92 | 96 | 89 |
| D | 87 | 90 | 97 | 82 |
The average marks of Math and Hindi taken together of the four students is what per cent more/less (rounded off to 1 decimal place) than the average marks of English and Science taken together?
Find the amount of ₹75,000 for one year at the rate of 16% per annum, if the interest is compounded quarterly. (rounded off to two decimal places)
How much simple interest will ₹6,000 earn in 15 months at the rate of 12% per annum?
Simplify the following expression.
2 ÷ [2 + 2 ÷ {2 + 2 ÷ (2 + 2 ÷ 3)}]
\(\frac{11}{15}\)
\(\frac{19}{15}\)
\(\frac{17}{15}\)
\(\frac{13}{15}\)