Quantitative Aptitude
LCM and HCF of two numbers ace 90 and 15, respectively. If the sum of the two numbers is 75, then find the greater number.
A 22.5m high tent is in the shape of a frustum of a cone surmounted by a hemisphere. If the diameters of the upper and the lower circular ends of the frustum are 21m and 39m, resoectively, then find the area of the cloth (in sq.m.) used to make the tent (ignoring the wastage) (use π = \( \text{(Use } \pi = \frac{22}{7} \text{)} \)
\(787\dfrac{2}{7}\)
\(2107\dfrac{2}{7}\)
\(1635\dfrac{6}{7}\)
\(2800\dfrac{2}{7}\)
A borrows a sum of Rs.90,000 for 4 years at 5% simple interest. He lends it to B at 7% for 4 years at simple interest. What is his gain (in Rs.)?
Three partners X, Y and Z started their business by investing ₹40,000, ₹38,000 and ₹30,000, respectively. After 6 months, X and Z made additional investments of ₹20,000 and ₹15,000 respectively, whereas Y withdrew ₹8,000. Find the share of Y (in ₹) in the total profit of ₹38,880 made at the end of the year.
A vegetable vendor sold 1 kg of potatoes for Rs.25 and earned 25% profit. In the evening, he started selling potatoes with only 10% profit. At what cost (in ₹) per kg did he sell the potatoes in the evening?
AB is a chord of a circle with centre O. C is a point on the circle in the minor sector. If ∠ABO = 50°, then what is the degree measure of ∠ACB?
If 4x - 3y = 12 and xy = 5, then find the value of \(
\frac{16x^{2} + 9y^{2}}{8}
\)