In ∆ABC, ∠C=90⁰, Point P and Q are on the sides AC and BC, respectively, such that  AP:PC=BQ:QC=1:2.Then, $${AQ^2+BP^2}\over AB^2$$  is equal to:

Which one of the following costs more?

I. 200 packets of ₹ 250 each

II . 20 dozens of ₹ 250 each

AC is a chord of circle whose centre is at O. If B is any point on the arc AC and ∠OCA=20⁰ , then the magnitude of ∠ABC is

A and B earn in the ratio 2:1. They spend in the ratio 5:3 and save in the ratio 4:1. If the total monthly savings of both A and B are Rs.5,000, the monthly income of B is-

If a person travels a certain distance at a speed of 10 km/h, and returns through the same route at a speed of 20 km/h, then what will be the average speed during the whole journey?

Direction: What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)

? ÷ 2.997 + 799.98 × 8.9 = 9199.978

In an election between two candidates, a candidate got 55% of the total valid votes, if the total votes were 15200 and 15% of the votes were declared invalid, then how many valid votes did the other candidate get?

Areas of two similar triangles are 36 cm² and 100 cm². If the length of a side of the larger triangle is 20 cm, then the length of the corresponding side of the similar triangle is: