Quantitative Aptitude
13, a b, c are four distinct numbers and the HCF of each pair of numbers (13, a); (13, b); (13, c) is 13, where a, b, c are each less than 60 and a < b < c. What is the value of \(\dfrac{(a+c)}{b}\)
A train covers a distance of 225 km in 2\(\dfrac{1}{2}\) and a half hours with a uniform speed. The time taken, in hours, to cover a distance of 450 km with the same speed is
Find the value of the following expression:
\[ \frac{\tan^{3}45^{\circ} + 4\cos^{3}60^{\circ}} {2\,\text{cosec}^{2}45^{\circ} - 3\sec^{2}30^{\circ} + \sin30^{\circ}} \]
A, B and C start a business. A invests \(33\dfrac{1}{3}\)% of the total capital, B invests 25% of the remaining and C the rest. If the total profit at the end of the year is ₹2,19,000, then A’s share (in ₹) is
If 5 sin θ - 4 cos θ = 0, 0° < θ < 90°, then the value of \( \frac{5\sin\theta + 2\cos\theta}{5\sin\theta + 3\cos\theta} \)
\(\dfrac{4}{7}\)
\(\dfrac{6}{7}\)
\(\dfrac{2}{7}\)
\(\dfrac{3}{7}\)
If the length of a diagonal of a square is (a + b), then the area of the square is:
a² + b²
\(\dfrac{1}{2}\)(a² + b²) + ab
a² + b² + 2ab
\(\dfrac{1}{2}\)(a² + b²)