Quantitative Aptitude
The ratio of the ages of A and B, 3 years ago, was 5 : 7. The ratio of their ages, 13 years from now, will be 9 : 11. If the present age of C is 11 years less than that of B, then the present age of C, in years, is:
Let \(3t - \frac{1}{3t} = 3\), then which of the following expressions has the value equal to 12?
\(9t^2 + \frac{1}{9t^2} + 2\)
\(9t^2 + \frac{1}{9t^2} - 2\)
\(9t^2 + \frac{1}{9t^2} + 1\)
\(9t^2 + \frac{1}{9t^2}\)
Find the area of a rectangle whose length is 52m and breadth is 9m.
The table shows number of students admitted into a university for higher education from 2010 to 2013.
| Year | Number of Students |
| 2010 | 450 |
| 2011 | 540 |
| 2012 | 370 |
| 2013 | 680 |
What is the average number of students admitted into the university from 2010 to 2013?
The monthly production of electric bulbs by a company during the second half of the year 2021 is shown by the following bar graph. Study the bar graph carefully and answer the question given below.
What is the percentage decrement in the production of electric bulbs in October as compared to the production in July?
The value of \(\frac{\sin^2 \theta - 2\sin^4 \theta}{2\cos^4 \theta + \cos^2 \theta} \text{ at } \theta = 45^\circ\) is:
The sale of two kinds of bicycles B1 and B2 (in lakhs) manufactured by a company over a period of three years are shown in the table below.
| Year | B1 | B2 |
| 2001 | 95 | 184 |
| 2002 | 130 | 200 |
| 2003 | 150 | 216 |
From 2001 to 2003, the total sale of bicycles B1 is what percent of the total sale of bicycles B2?
The length of the tangent drawn from a point 10 cm away from the centre of a circle with radius 4 cm, is: