What number should be added to each of the numbers 35, 115, 53 and 165, so that the resulting numbers are in continued proportion?
1). 10
2). 12
3). 8
4). 6
Let the no. be x
(35+x):(115+x)=(53+x):(165+x)
=(35+x)*(165+x)=(53+x)*(115+x)
=5775+200x+x^2=6095+168x+x^2
=200x-168x=6095-5775
=32x=320
x= 10
2. What is the area (in sq cm) of a rectangle if its diagonal is 26 cm and one of its sides is 10 cm?
4. What is the quotient when 1359 is divided by 48?
5. Nepal does not share its border with which Indian state?
9. 'Young Girls' is the famous work of which painter?
10. How many medals in all did India win at the Rio Olympics 2016?