HARD
10th ICSE
IMPORTANT
Earn 100

The sum S of n successive odd numbers starting from 3 is given by the relation : S = n(n + 2). Determine n, if the sum is 168.

Important Questions on Solving (Simple) Problems (Based On Quadratic Equations)

HARD
10th ICSE
IMPORTANT
A stone is thrown vertically downwards and the formula d=16t2+4t gives the distance, dmetres, that it falls in t seconds. How long does it take to fall 420 meters ?
HARD
10th ICSE
IMPORTANT
The product of the digits of a two digit number is 24. If its unit's digit exceeds twice its ten's digit by 2; find the number.
HARD
10th ICSE
IMPORTANT
The ages of two sisters are 11 years and 14 years. In how many years time will the product of their ages be 304 ?
HARD
10th ICSE
IMPORTANT
One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son's age. Find their present ages.
HARD
10th ICSE
IMPORTANT
The age of a father is twice the square of the age of his son. Eight years hence, the age of the father will be 4 years more than three times the age of the son. Find their present ages.
HARD
10th ICSE
IMPORTANT
The speed of a boat in still water is 15 km/hr. It can go 30 km upstream and return downstream to the original point in 4 hours 30 minutes. Find the speed of the stream.
HARD
10th ICSE
IMPORTANT
Mr. Mehra sends his servant to the market to buy oranges worth 15. The servant having eaten three oranges on the way, Mr. Mehra pays 25 paise per orange more than the market price. Taking x to be the number of oranges which Mr. Mehra receives, form a quadratic equation in x. Hence, find the value of x.
HARD
10th ICSE
IMPORTANT
250 is divided equally among a certain number of children. If there were 25 children more, each would have received 50 paise less. Find the number of children.