Rupali Bank Math WRITTEN Question Bank, Complete Solution & PDF

The sum of three times the smaller and four times the larger is 71 and twice the larger of two numbers is three more than five times the smaller. What are the numbers?

In a boys school, if 5 students sit in every bench, 4 benches are empty. But if 3 students sit in every bench. 20 students are left standing. What is the number of benches in the class?

Sum of ages of mother and daughter is 60 years. 5 years ago, the ratio of their age were 4:1. What will be the ratio of their age after 10 years?

$if a+\frac{1}{a}=3, provr that a^4+\frac{1}{a^4}=119$

A micro-bus was hired at Tk. 5,500 to travel intercity. The fare is to be shared equally among the passenger on the day of travel, but due to the absence of 5 passengers, the average fare per person was doubled. How many people availed the service?

A circular garden is surrounded by a road. If the outer circumference of the road is greater than the inner circumference by 88 meters, what is the width of the road?

A basin can be filled by tap A in 5 hours and tap B in 8 hours, each tap working on its own When the basin in full and a drainage hole is open, the water is drained in 20 hours. If initially the basin was empty and someone started the two taps together but left the drainage hole open, how long does it take for the basin to be filled?

Solve the following mathematical problems:

Two numbers x, y are in G.P and their sum is 30. Also, the sum of their squares is 468. Find the numbers.

A maximum sized rectangular playground is made within a circular space of radius$2\sqrt{41}$ meter. Calculate the area of the playground if its length and width are distributed in the proportion of 4: 5.

Factorize: $x^3-21x+20$

A two digit number is six times the sum of the two digits. If the digits are reversed, the number so obtained is 9 less than the original number. What is the original number?

A teacher has 6 hours to grade all the papers submitted by the 35 students in his class. He ge through the first 5 papers in 1 hour. How much faster should he work to grade the remaini papers in the allotted time?

50 daily workers can complete a culvert in 40 days. If 30 of them work daily and the rest work in every alternative day, how many more days will be required to complete the project?

Mr. Hossain invested m taka in a mutual fund which pays 10% interest and n taka in a privet company which pays 9% interest. He invested Tk. 18,000 and required that he receives tk 1,700 as interest. How much did he invest in each company?