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:

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]

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?

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

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)

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…

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:

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…

Four coins are tossed simultaneously. What is the probability that two consecutive heads never occur together?