Quantitative Ap...

If a and b be two positive integers, then a² + b² + ab can be equal to

In a triangle PQR, the length of altitude PS is 18cm, and this altitude divides QR such that QS:SR = 19:81. Find the length (in cm) of a line segment parallel to the altitude which bisects the area of the triangle PQR.

For any natural numbers m, n, and k, such that k divides both m + 2n and 3m + 4n, k must be a common divisor of

Consider a circle with centre O as shown in the figure below. YZ is a tangent to the given circle. It is also given that XM = 8 units, MY = 6 units, ZY = 12 units, and OX = 2 units. Find the length of the radius of the circle.

A well with 10m inside diameter is dug 14m deep. Earth taken out of it has been spread evenly around it, to a width of 5m. Find the height of the embankment so formed.

If x = Log_abc + 1, y = Log_bac + 1 and z = Log_cab + 1 then find out the value of 

Find out the number of numbers between 4600 and 8700 (including both numbers) in which digits 3, 7 and 9 do not appear?

A sum of money becomes four times with certain rate of interest where interest being calculated on compounding basis in 2 years’ time. Find out the number of years would it take to become 8 times under simple interest with rate of interest is 75% of prior interest rate. (Write your answer in X/Y fraction format)

There is a group of 12 people. Assuming there is no such concept of leap year, find out the probability of at least 2 people have the same birthday in a group

If ‘x’ tomatoes out of 40 are sold at (x)% profit and the remaining at 1 - x%, then what will be the minimum profit that can be earned if each tomato costs Rs.3?