In triangles ABC and ADC in the above figure, ∠BAC = ∠ADC = 90°. Also, DC is 2 units long and AC is 4 units long. What is the length of BC? (Figure: right triangle ABC with right angle at A; D lies on BC with AD ⊥ BC.) [Figure: see page 4 of source PDF]

If height and radius of right circular cylinder are equal and its volume is 176/7 cm³, then its radius (= height) is

A person buys two watches for a total sum of Rs. 1,000. He sells one watch at a loss of 5% and the other at a gain of 20% and on the whole, he gains Rs. 50. The cost prices of the two watches are:

Consider the following statements about numbers. A. There exists a smallest natural number. B. There exists a largest natural number. C. Every rational number is also a real number. D. Between two consecutive natural numbers, there is always a natural number. Choose the correct a…

85 litres of a mixture contain milk and water in the ratio 27:7. How much more water is required to be added in the mixture, so that the resulting mixture contains milk and water in the ratio 3:1?

In Kendriya Vidyalaya, Ujjain, 20 percent of students are athletes. In Navodaya Vidyalaya, Ujjain, 25 percent of students are athletes. If Navodaya Vidyalaya has 60% more students than Kendriya Vidyalaya, then the number of athletes in Navodaya Vidyalaya is what percent of the at…

The value of the following sum of terms: 5/(2²·3²) + 7/(3²·4²) + 9/(4²·5²) + 11/(5²·6²) + 13/(6²·7²) + 15/(7²·8²)

Sudhir purchased a chair with three successive discounts of 20%, 12.5% and 5%. The equivalent single discount is:

The sum of three consecutive odd numbers is always divisible by: A. 2 B. 3 C. 5 D. 6 Choose the correct answer from the options given below: