RAKUB Senior Officer Written Math 2016

Rajshahi Krishi Unnayan Bank 

Senior Officer written math 2016 

1. A person invested 2/3 rd of his capital at 3%, 1/6 th at 6% and the remainder at 12%. Find out the amount of capital if his annual income is TK. 25.

2. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

 3. 10 years ago the ratio of ages of father and son was 4:1. After 10 years the ratio of the father and son will be 2:1. Find the present age of father and son.

4. Two men and three boys can do a piece of work in ten days while three men and two boys can do the same work in 8 days. In how many days can two men and one boy do the work?

Modhumoti Bank PO written math 2016

Bank Written Math 2016 

 Modhumoti Bank PO written math 2016 

1. Abir can do a piece of work in 80 days. He works for 10 days and Bashir alone finish the rest of the work in 42 days. How much time would it take for the two of them together to complete the whole work?

 2. A man has to go 10 km to catch a bus. He walks part of the way at 7 km per hour runs the rest of the way at 12 km per hour. If he takes 1 hour 15 minutes to complete his journey. Find how far he walked?
3. If x + y=a, x2+y2=b2 and x3+y3=c3 then show that a3+2c3=3ab2.

4. In a school, there are equal number of boys and girls. Among the students, 1/8 of the girls and 5/6 of the boys are residing in the hostel. What percent of the Students consists of boys who do not reside in the hostel among all students?

5. ABC is a triangle in which AB = 3cm, BC = 5cm, and AC = 4cm, AD is perpendicular from A to BC. Find the length of AD.

Sonali Bank Officer (IT) Examination 2017 Written math

Sonali Bank Officer (IT) 

Written Math Solution : 

1) The salaries of Lamia and Farzin are in the ratio 7:5 and the total of their salaries is Tk 12000. If their annual increments are Tk 200 and Tk.150 respectively, what will be the ratio of their salaries after one year?    
        Solution : Let, L = 7x F= 5x A/Q, 7x+5x = 12000 12x = 12000 x = 1000 So, 7x= 7*1000 = 7000 5x = 5*1000 = 5000 Now, required ratio = (7000+200): (5000+150) = 7200: 5150 = 144:103
Answer: 144:103

2) A man goes upstream at 10 km/hr to a place and back down stream to same point at 6 km/ hr. what is the average speed in the journey?
       Solution : Average speed = (2*6*10)/(10+6)=7.5
Ans : 7.5 km/hr

3) A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train.
       Solution : let, lengh of the train x now, x/8 = x+ 180/20 ( Considering, Speed equal in both case) hence solving equation x = 120 speed = 120/8* 18/5 = 54    
Ans : 120 m and 54 kmph


4) The sum of ages of the Father and Son is 50 years. when the ages of the son will be equal to the present age of the father, the sum of their ages will be 102 years. Find the age of Father and Son?
       Solution : Let, Age of Father = X Age of Son = 50-x Again, When age of son will x, the age of father will = x + ( X - (50-x)) = 3x -50 Now, 3x-50+ x = 102 x = 38 Father's age = 38 Son's age = 50-38 = 12

 5) By selling a table for tk 39, gain is as much as percent as its cost. What is cost price?
        Solution : 5) Suppose, Cost price = x Gain = x% atq, x+x%of x = 39 x+x^2/100 = 39 100x+x^2 = 3900 x^2+100x-3900 = 0 x^2+130x-30x -3900= 0 (x+130)(x-30) = 0 x= -130 ( price can't be negative) or , X= 30
Answer: 30 taka

Bank Asia written maths 2016

                                    Bank Asia written maths

1). The average marks of 300 students is 80. If 10% of the students excluded then the average becomes 85. What is the average marks of that 10% excluded students?

2). The ratio of gold and silver in a ornament of weight 42 gram is 4:3. What amount of gold needed to make the ratio 5:3?

3). A cistern takes 10 hours to fill and 12 hours to empty due to a leak in the cistern. If the cistern is full, then how much time it will take to empty the cistern through the cistern?

4). Solve the equation: 8/2x-1 + 9/3x-1 = 7/x+1

Jamuna Bank MTO Written Math 2016

 Jamuna Bank MTO 2016
  Written math:
1. Karina has a wheat business. She purchases wheat from a local wholesaler at a particular price per pound. The price of the wheat at her local is tk. 30 per kg. Her faulty spring balance reads .90 kg for a kg.Also in the festival season she gives 10% discount on the wheat. She found that she made neither a profit nor a loss in the festival season. At what price did Karina purchase the wheat from the wholesaler?

2) According stock policy of company, each employee in the technical division is given 15 shares of the company and each employee in the recruitment division is given 10 shares.Employees belonging to both communities get 25 shares each.There are 20 employees in the company, and each one belongs to at least one division. The cost of each share is 10 tk.If the technical division has 15 employees and the recruitment division has 10 employees.Then what is the total cost of the shares given by the company?

SONALI BANK SO (IT) WRITTEN MATHS SOLUTION 2016

SONALI BANK –

SENIOR OFFICER – IT

WRITTEN MATHS

1)      A boat takes 3 hours to travel to a certain distance with the stream, and returns to the original place in 5 hours. How long will it take to travel the same distance in stationary water? .

Solution: Suppose, the speed of the boat in stationary water is p kmph, the rate of the stream is q kmph, and the distance is D km. According to the question: p+q = D/3 ----------- (i) & p-q = D/5 ----------- (ii) (i) + (ii) => 2p = D/3 + D/5 = 8D/15 p = 4D/15 So, required time to cover the distance in stationary water is = D/p = D/(4D/15) = 15/4 hrs = 3hrs and 45mins.

 Ans: 3 hours and 45 minutes.

2)      A man has Tk300000. He invests a part of the amount at 8%, and the remaining amount at 10% p.a. At the end of the year he earns a profit of Tk25600 from his entire investment. Find the amount he invested under each rate.

Solution: Suppose, he invested Tk P at 8% rate. So, he invested Tk (300000-P) at 10% rate. According to the question: 0.08P + 0.1(300000-P) = 25600 0.08P + 30000 - 0.1P = 25600 0.02P = 4400 p = 4400/0.02 = 220000 So, he invested Tk220000 at 8% rate, and Tk(300000-220000) or Tk80000 at 10% rate.

Ans: Tk220000 at 8%, Tk80000 at 10%.

3) M purchased a 30-inch TV whose height was 18 inches. If the size of a TV is expressed as the lengths of its diagonal, find the width of the TV M purchased. . Solution: Suppose, the width of the TV is = p inches. According to the question: p² + 18² = 30² p² = 900 - 324 = 576 p = 24

 Ans: 24 inches.

 4) The ratio of the girls and boys in a class was 2:5. If two new girls join the class, the ratio becomes 1:2. What was the total number of students in the class?

Solution: Suppose, there were 2p girls in the class. As the ratio of the girs and boys in the class was 2:5, the number of boys in the class was = 2p × 5/2 = 5p according to the question: (2p+2) : (5p) = 1 : 2 (2p+2)/(5p) = 1/2 5p = 4p + 4 p = 4 So, the total number of students in the class was = 2p+5p = 7p = 7×4 = 28. Ans: 28

 5) How many liters of 15% salt solution must be added to 5 liters of 8% salt solution to get a 10% salt solution?

 Solution: Suppose, p liters of 15% should be added. According to the question: (0.15p + 5×0.08)/(p+5) = 0.10 0.15p + 0.4 = 0.10p + 0.5 0.15p - 0.10p = 0.5 - 0.4 0.05p = 0.1 5p = 10 p = 2 Ans: 2 liters.

Dutch-Bangla Bank Probetionary Officer Written Math Question 2016

Dutch-Bangla Bank Probetionary Officer Written Math Question 2016

1. Abul and balam ran at their respective constant rates ,a race of 480m.in the first heat,abul gives balam a head start of 48 m and beats him by 1/10th of a minute.in the second heat abul gives balam a head start of 144m and is beaten by 1/30th of a minute.what is balam's speed in m/s?
2.  20 liter mixture of milk and water contains milk and water in the ratio 3:2.10 liters of the mixture is removed and replaced with pure milk and the operation is repeated once more. at the end of the two removal and replacement,what is the ratio of milk and water in the resultant mixture?