A circular design of radius 14 cm has 12 equal sectors as shown in figure (X). The area of shaded region is: [Figure: see page 6 of source PDF]

A card is drawn from a well-shuffled pack of cards. The probability of getting a black card or a queen is:

The compound interest on ₹5,000 at 10% per annum for __________ (in years) is ₹1655.

Two vertices of a triangle are (5, -3) and (0, 4). If the centroid of the triangle is (2, 3) then the third vertex is:

From among 150 members in a club, one President and one Vice-president are to be appointed. In how many ways can this be done?

A person travelled a distance of 60 km in 8 hours. He travelled partly on foot at 4 km/h and partly on bicycle at 12 km/h. The distance travelled on foot is:

If in one day, 4 women and 7 boys working together can do five times as much work as a woman and a boy can do in a day. Then, the ratio of working capacity of a woman to a boy is:

Find the median class of the following data: Marks obtained (C.I) | Frequency 0 − 10 | 8 10 − 20 | 10 20 − 30 | 12 30 − 40 | 22 40 − 50 | 30 50 − 60 | 18

Preeti invested in a startup of kids ethnic-wear. The cost of making an ethnic-wear depends on three items - fabric, tailoring and designing. The cost of these items are in the ratio 5 : 3 : 1 respectively. If the cost of tailoring for each piece is Rs.150, find the cost of singl…