The following table represents the total number of research scholars and the respective number of female research scholars in various departments of a university. Study the table carefully and answer the question that follows.
| Department | Total number of research scholars | Number of female research scholars |
| Physics | 35 | 12 |
| Chemistry | 40 | 28 |
| Mathematics | 18 | 4 |
| Statistics | 12 | 3 |
What is the ratio of male research scholars in Mathematics to Statistics?
What is the value of D, if A : C = B : D in the given table?
| A | B | C | D |
| 25 | 40 | 30 | ? |
Two circles of radii 18 cm and 12 cm touch each other externally. Find the length (in cm) of their direct common tangent.
\(\dfrac{2+\tan^2(2A)+\cot^2(2A)}{\sec(2A)\,\csc(2A)}\) is equal to ____________________
sec2A + tan2A
sec 2A + cosec 2A
cot2A - cosec 2A
sec 2A - cosec 2A
Kiran lent ₹4,000 to two persons such that one part of it at the rate of 8% per annum and the remaining part at the rate of 10% per annum. He got an annual simple interest of ₹352. Then the sum lent at 10% is:
The value of 15÷3 of 2×2+9÷18 of 2×4−4÷8×2 is:
If, on a marked price, the difference between selling prices with a discount of 65% and with two successive discounts of 30% and 40% is ₹105, then the marked price (in ₹) is: