Bank Math

Q (33 -  56): Read the following questions carefully and choose the right answer.
৩৩. If m and n are whole numbers such that mⁿ = 121, the value of (m - 1)^{n + 1} is:

A is the widow of B. B & C were the only children of E. C is unmarried and is a doctor. D is the grand-daughter of E and studies science. How is A related to D?

A right angled triangle, whose perpendicular sides measure 1.8cm and 2.4cm, is inscribed in a circle. What is the circumference of the circle (in cm)?

If x > 5 and y < - 1, then which of the following statements is true?

The area of the base of a cylinder is 100π m². The volume of the cylinder is 900π m³. What is the height of the cylinder?

An iron rod that weighs 24 kg is cut into two pieces so that one of these pieces weighs 16 kg and is 34 m long. If the weight of each piece is proportional to its length, how long is the other piece?

A certain amount of money earning simple interest becomes 7/5^th of the initial amount in 4 years. What is the interest rate?

If p and q are positive integers and the difference between pq and qp is three times the sum of p and q, then how many pairs of p and q are possible?

A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is:

The cost price of 19 articles is same as the selling price of 29 articles. What is loss percentage?

If the line AB and CD meet at O and ∠BOD = 63°, then ∠BOC = ?

The difference between the radii of bigger circle and smaller circle is 14cm and the difference between their areas is 1,056cm². Radius of the smaller circle is

The H.C.F. of two number is 11 and their L.C.M. is 693. If one of the numbers is 77, find the other.

x^a = y, y^b = z ও z^c = x হলে abc এর মান কত?

Shama earns Tk. 11 for each ticket she sells, and a bonus of Tk. 2 Per ticket she sells over 100. If Shama was paid a total of Tk. 2400, how many ticket did she sell?

A triangular plot with sides of 25 feet, 40 feet and 55 feet is to surround by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?

Mr. Jamal employed 50 workers to finish a work within 30 days. After 20 days he found out that only 50% work had been completed. How many additional workers would be needed to finish the task in scheduled time?

Half of the people on a bus get off at each stop after the first and no one gets on after the first stop. If only 4 person gets off at stop number 4, how many people got on at the first stop?

In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer. (I) 39x² - 31x – 28 = 0 (l) y²- 25y + 114 = 0

A project has 3 test cases. Three teams are formed to study the 3 different test cases. Mr. X is assigned to all three teams. Except for Mr. X, each member is assigned to exactly one team. If each team has exactly 6 members, then what is the exact number of members required?