Quantitative Aptitude
The following table indicates the number of students studying in three subjects in four colleges.
| Subjects | Colleges | |||
| W | X | Y | Z | |
| Physics | 420 | 435 | 412 | 285 |
| Chemistry | 380 | 340 | 315 | 420 |
| Mathematics | 256 | 310 | 295 | 345 |
What is the ratio of the total number of students studying in the Physics to that of studying in Mathematics in all four colleges taken together?
A chord of the larger among two concentric circles is of length 20cm and it is tangent to the smaller circle. What is the area (in cm2) of the annular portion between the two circles?
The given pie-chart shows the percentage distribution of runs scored by a batsman in a test innings. Study the chart and answer the question that follows.
If the batsman has scored a total of 440 runs, how many runs did he score by hitting fours?
Let a + b = 1, then what is the value of \(\left(\dfrac{1}{a^2} + \dfrac{1}{b^2} + \dfrac{2}{ab}\right)\) is:
\(\dfrac{1}{a^2 b^2}\)
\(\dfrac{1}{ab}\)
\(\dfrac{1}{a^2 b}\)
\(\dfrac{1}{ab^2}\)
What is the volume in cubic units of a cylinder with a height equal to the diameter and a radius is 4 units?
\(128\pi\)
\(\dfrac{64\pi}{3}\)
\(32\pi\)
\(\dfrac{32\pi}{3}\)
If \(\dfrac{\tan(x)}{\sec(x)} = \dfrac{1}{2}\) , then what is the value of (sin(x) + cos(x))2 is _____
\(\dfrac{2+\sqrt{3}}{3}\)
\(\dfrac{2+\sqrt{3}}{2}\)
\(\dfrac{2-\sqrt{3}}{2}\)
\(\dfrac{2-\sqrt{3}}{3}\)
A circle's centre is connected to its 50 cm long chord by a perpendicular that is 21 cm long. Find the circle's radius.
\(\sqrt{1065}\) cm
\(\sqrt{1068}\) cm
\(\sqrt{1064}\) cm
\(\sqrt{1066}\) cm
Simplify \(\dfrac{25a^2 - 10ab - 48b^2}{5a + 6b} \times (5a + 8b)\)