Bank Math

The sum of squares of two numbers is 80 and the square of difference between the two numbers is 36. Find the product of two numbers.

Tk. 500 is deposited in a savings account which pays 7% annual interest compounded semi-annually. To the nearest Taka, how much is in the account at the end of the year?

What is the value of x in the equation 3x - 15 - 6 = 0?

If f(x) = 2x - 1 and g(x) = x², what is the value of f{g(- 3)}?

What is the largest number of mangoes not exceeding 440 that can be distributed among three persons in the proportions 5 : 6 : 7?

If Tk. 5,000 is invested at 12% annual rate of interest, how much will the investment be worth after 2 years?

What is the greatest prime factor of (2⁴)² - 1?

For what value of 'K' will the pair of equations 3x + 4y = 12 and kx + 12y = 30 does not have a unique solution?

A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have Paint on exactly two sides.

In the equation: 31(m - n) - 32(m - n) + (m - n) = ?

What is the least number when divided by 4, 5 and 6 leaves in each case a remainder of 3?

A monkey climbs a 12 meters-high slippery pillar. In his first minute, he climbs 2 meters, and in the next minute, he slip one meter down. In this way, how much time will he take to reach the top of the pillar?

A pole 6m high casts a shadow 2√3m long on the ground, then the Sun's elevation is-

In a shop, the cost of 5 shirts, 5 pairs of trousers and 3 hats is Tk. 710. The cost of 11 shirts, 11 pairs of trousers and 8 hats is Tk. 1590. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?

x - y = 2 এবং x + y = 60 হলে, x² - y² এর মান কত?

In a triangle the length of the sides are 5, 9 and x. Which statement is always true? 

If debater A is in the team, which other debaters must be in the team as well?

If a = 4, b = 5, c = 3, what is the value of 4ab - 6ac + 2bc?

What is the smallest number divisible by 3, 5 and 9 with remainder 2?

Consider that w + x = – 4, x + y = 25 and y + w = 15, Then the average of w, x, y is ____