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1 Recent Written Math Solution 2017 ( Up to April 17) 1 P a g e Prepared by::: Musfik Alam Recent Written Math Solution Prepared by : Musfik Alam Recent Written Math Collection: 1 IBBL(PO)-07/04/ ONE BANK LTD Special Cadre Officer Bangladesh Bank Cash Officer Bakharabad Gas Field company Ltd(BGFCL),Assistant Manager/Assistant officer10/03/ Bakharabad Gas Field company Ltd(BGFCL) Asst Officer(Accounts/Audit): 10/03/2017 6Bangladesh Bank Assistant Director(General Side) - ( ) 7United Commercial Bank Limited Probationary Officer - ( ) 8Bangladesh Krishi Bank Senior Officer ( ) 9Sonali Bank Officer IT ( ) 10Sonali Bank Senior Officer IT ( ) 11Janata Bank EO (Electrical) Janata Bank EO (Civil)-2017 ************************************************************************ IBBL(PO)-07/04/2017 1: The cost of A And B equities is the different of two positive integerif sum of 4 equities of A and 5 equities of B is 27what is the total cost of 2 equities of A and 3 equities of B? Solution : 4A+5B=27 or, A=(27-5B)/ (i) now, if B=1 then A=(27-5)/4=45 which is not integer it is only possible when B=3 then A=3 so 2A+3B=2*3+3*3=15 Note: according to condition A&B is different integer but it is not possible to find out different value of A & B Bangladesh Krishi Bank Senior Officer ( ) Published By :: Raju Ahmed

2 Recent Written Math Solution 2017 ( Up to April 17) 2 P a g e Prepared by::: Musfik Alam 1A man deposits 5000 tk at 5% annual interest for six months In every six months he withdraws tk 500 from his principal plus interest earned What is the total amount of interest he received? Semi annual, so Interest rate= 5/2%=25% Total Interest= 25%* %* %* %* %* %* %* %* %* %*500 =25%*27500 =6875 Tk 2A man interest and wages from his investment tk 5000 If he invests double then the wages increased 50% and total amount is tk 8000 What is his actual income in terms of wages and interest? Let, Investment be X and Wages be Y ATQ X +Y= 5000 (i) 2X + 15 Y= 8000(ii) Now, 2*(i)-(ii)=> we get, x=1000 and Y=4000 Ans: Investment= 1000 and wages= men can finish a work in 30 days After how many days can 5persons leave the work and the remaining work can be finished in 35 days? 20 men can do in 30 days 1 man can do 30*20=600 Let, 20men can do in X days 1 men can do in 20x days Again, 20-5=15men can do in 35-X days 1 men can do in 15(35-x) days ATQ, 20x + 15(35-x)=600 X= 15 (Ans) 4 A man goes to his office at a certain time If his waking speed is 5kmh then he is 7 minutes late When his speed is 6kmh he reaches 5minutes before How far his office from his house? Let, total distance be X km ATQ, x/5-7/60 =x/6 +5/60 [Time=distance/Speed] x= 6 km 5In a mixture the ratio of apples, peaches and grapes is 6:5:2 If the total mixture is 39 pounds then what is the difference between apples and grapes? Let, Apple, Peaches and Grapes 6x, 5x and 2x respectively Apple=39* (6x/13x)=18 Grapes= 39*(2x/13x)=6 Difference= 18-6=12 (Ans) Published By :: Raju Ahmed

3 Recent Written Math Solution 2017 ( Up to April 17) 3 P a g e Sonali Bank Limited Officer (IT) ( ) Prepared by::: Musfik Alam 1) The salaries of Lamia and Farzin are in the ratio 7:5 and the total of their salaries is Tk If their annual increments are Tk 200 and Tk150 respectively, what will be the ratio of their salaries after one year? Let, L = 7x F= 5x A/Q, 7x+5x = x = x = 1000 So, 7x= 7*1000 = x = 5*1000 = 5000 Now, required ratio = ( ): ( ) = 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? Average speed = (2*6*10)/(10+6)=75 Ans : 75 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 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? Let, Age of Father = X Age of Son = x -50 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 = = 12 5) By selling a table for tk 39, gain is as much as percent as its cost What is cost price? Suppose, Published By :: Raju Ahmed

4 Prepared by::: Musfik Alam Recent Written Math Solution 2017 ( Up to April 17) 4 P a g e Cost price = x Gain = x% atq, x+x%of x = 39 x+x^2/100 = x+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 Ans:30 taka United Commercial Bank Limited Probationary Officer ( ) 1: Mr X asked to construct a road of 1920 meters in 120 days He appointed 160 workers and find that in 24 days only 1/8 portion of work has been finished How many additional number of workers would be needed in order to completing the whole work in time? Remaining work = 1-1/8 = 7/8 Remaining number of days = = 96 to do 1/8 of the work in 24 days, he needs = 160 workers to do 7/8 of the work in 24 days, he needs = 160*7 workers to do 7/8 of the work in 96 days, he needs = 160*7*24/96 workers = 280 workers additional workers needed = = 120 ans: 120 2: The simple interest on a sum of money will be Tk600 after 10 years If the principal is trebled after 5 years will be the total interest at the end of the tenth year? Interest of 10 years = 600 tk interest of 1 year = 600/10 = 60 tk if the principal is trebled, the interest will also be trebled So, total interest in 10 years = (interest in first 5 years) + (interest in next 5 years) = (60 5) + (60 5 3) = 1200 tk ans: 1200 tk Bangladesh Bank Assistant Director(General Side) ( ) 1A man sells an article at a profit of 25% if he had bought it 20% less and sold it for Tk 1050 less he would gained 30%,find the cost price of the article? Let The CP be Tk x Then SP=x+x*25%=125x When CP 20% reduced,new cost=x-x*20%=080x New SP=080x+080x*30%=104x ATQ, 125x-104x=1050 x=50 2A and B can do a piece of work in 18 days,b and C can do it in 24 daysa and C can do it in 36 daysin how many days will A,B and C finish it together and separately Published By :: Raju Ahmed

5 Prepared by::: Musfik Alam Recent Written Math Solution 2017 ( Up to April 17) 5 P a g e By adding,we get In1day 2(A+B+C)work=(1/18+1/24+1/36)=1/8 portion In 1 day (A+B+C)=1/16 So A,B and C together can finish the work 16 days In 1 day A work=(a+b+c)-(b+c)=1/16-1/24=1/48 A alone can finish the work 48 days In 1day B work =(A+B+C)-(A+C)=1/16-1/36=5/144 B alone can finish the work 144/5 days In 1 day C work=(a+b+c)-(a+b)=1/16-1/18=1/144 C along can finish 144 days Ans: A=48 days,b=144/5 days,c=144 days Sonali Bank Senior Officer IT ( ) 1A boat takes 3 hours to travel to a certain distance with the stream and return to the original place in 5 hourshow long will ot take to travel the same distance in stationary water? Let,The speed of the boat in stationary water id P kmph The rate of the stream in Q kmph and the distance is D km Atq, p+q=d/3(i) and p-q=d/5(ii) (i)+(ii) 2p=8D/15 p=4d/15 So,required time to cover the distance in stationary water is =D/p=15/4=3 hrs 45 min Ans: 3 hours 45 Min 2A man has TK300000He invests a part of amount at 8% and the remaining amount at 10% paat the end of the year he earns a profit of TK25600 from his entire investmentfind the amount he invested undet each rate Let In 8% he invested TK=x 10% he invested Tk=( x) Atq, x*8*1/100+( x)*10*1/100=25600 x= So he invested Tk at 8% and Tk ( )=80000 at 10% Ans: TK, 80000TK 3Mashrsfee purchased a 30 inch-tv which height was 18 incheif the size of a TV is expressed as the lengths of its diagonal,find the width of the TV Mashrsfee purchased? Let, The width of the TV is =p inches ATQ, p^2+18^2=30^2 p=24 Ans: 24 inches Published By :: Raju Ahmed

6 Prepared by::: Musfik Alam Recent Written Math Solution 2017 ( Up to April 17) 6 P a g e 4The ratio of the girls and the boys in a class was 2:5If two new girls join the class,the ratio becomes 1:2what was the total number of students in the class? Let,The number of girls in the class was =2x and the numbet of boys in the class was=5x The total number of students in the class was=2x+5x=7x Atq, 2x+2:5x=1:2 x=4 So,The total numbet of students in the class was=7*4=28 Ans:28 5How many liters of 15% salt solution must be added to 5 liters of 8% salt solution to get a 10% salt solution? Let, x liters of 15% should be added Atq (015*x+5*008)/x+5=010 x=2 Ans:2 liters Janata Bank EO (Electrical)-2017 A lamp is manufactured to sell for $3500,which yields a profit of 25% of costif the profit is to be reduced to 15% of cost,what will be the new retail price of the lamp? Let,the CP of the lamp is $100 Now,at 25% profit the SP=$(100+25)=$125 If SP $125 then CP=$100 If SP $35 theb CP=$100*35/125=$28 Again,at 15% profit The SP or Retail Price=$(100+15)=$115 If CP $100 then ratail price=$115 If CP $28 then retail price=$115*28/100=$3220 Ans: The new retail price of the lamp will be $3220 Janata Bank EO (Civil)-2017 The price of a balcony seat in a theater is 1/3 of the price of a seat in the orchestrawhen the theater is completely sold out,the total receipts from the 600 orchestra seats and the 450 balcony seats are $4500What is the price of one orchestra seat? Since the price of a balcony seat in a theater is 1/3 of the price of a orchestra seat So,let the price of a seat in the orchestra= $x The price of a balcony seat=$x*1/3=$x/3 2) If 9 engines consume 24 metric tonnes of coal, when each is working 8 hours a day, how much coal will be required for 8 engines, each running 13 hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter type? 4 later type = 3 former type 8 later type = 6 former type consuderating consuming rate same x/6*13 = 24/9*8 x= 26 3) Dawood invested certain amount in three different schemes A, B and C with the rate of 10% pa, 12% pa and 15% pa respectively If the total interest accrued in one year was Tk 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, what was the amount invested in Scheme B? Published By :: Raju Ahmed

7 Prepared by::: Musfik Alam Recent Written Math Solution 2017 ( Up to April 17) 7 P a g e 100% of C = 150% of A = 240% of B so, 100C = 150 A A: C = 2:3 and 150% A = 240% of B A: B = 8:5 A:B=( 8:5)*2= 16:10 A:C = (2:3)*8=16:24 A:B:C =16:10:24=8:5:12 let, A investment = 8x B = 5x C = 12x now 8x*10/ x*12/ *15/100 = x+60x+180x = 3200*100 32x= x = 32000*5/32 =5000 ONE BANK LTD Special Cadre Officer Length of a rectangular field is 15 times as large as its width The field cost Tk10260 for planting grass at 19TK per sqmeter What will be the total cost of providing fence around the field that costs 25TK per meter? Let the width of the rectangular field = x m and length = 15x m According to the question 15x * x*19 = Or, x^2 = 3600 Therefore, x = 60 So, width = 60m, length = 90m Perimeter = 2( ) = 350m Cost = 350*25 = Tk750 (ans) 2 Salam used a part of TK 100,000 to purchase a TV of the remaining portion he invested 1/3 of it at 4% simple annual interest and 23 of it at 6% simple annual interest, If after a year the income from two investment totaled Tk 320 What was the purchase price of the TV? Let, the purchase price of the TV = tk x and remaining amount of money = tk(100,000 x) According to the question (100,000 x) * 1/3 *4% + (100,000 x)*2/3 * 6% = 320 Or, 1000/3 * /3 4x/300 12x/300 = 320 Or, 4000/ /3 4x/300 12x/300 = 320 Or, x 12x = 320*300 Or, 16x = Or, 16x = Or, x = 94,000(ans) 3 Solve the equation : 4/(2x+3) + 15/(5x+4) = 35/(7x+6) 4/(2x+3) + 15/(5x+4) = 35/(7x+6) Or, 4/(2x+3) + 15(5x+4) = 21/(7x+6) + 14/(7x+6) Or, 4/(2x+3) - 14/(7x+6) = 21/(7x+6) 15/(5x+4) Or, (28x+24-28x-42)/ (7x+6)( 2x+3) = (105x x-90) / (5x+4)(7x+6) Or, -18/( 2x+3) = -6/(5x+4) Or, 9/(2x+3) = 3/(5x+4) Or, 45x+36 = 6x+9 Or, 39x = -27 Or, x = -27/39 = - 9/13(ans) 4 A man has to go 10 km to catch a bus He walks part of the way at 7 km/h and runs rest of the way at 12 km/h If he takes 1 hr and 15 mins to complete his journey find the distance he covers by walking? Let, he walks x km and run (10 x) km According to the question x/7 + (10-x)/12 = 1hr 15mins Or, (12x x)/84 = 1+15/60 Or, x = 125*84 = 105 Or, 5x = 35 Or, x = 7 km(ans) Bakharabad Gas Field company Ltd(BGFCL) Assistant Manager/Assistant officer 10/03/2017 Published By :: Raju Ahmed

8 Prepared by::: Musfik Alam Recent Written Math Solution 2017 ( Up to April 17) 8 P a g e It takes 120 metric tone water to sink a shipthrough a hole in the full of the ship,water is entering the ship at a rate of 2 metric tone per minute At the same time,water is being pumped out at the rate 15 metric tone per minute using one pump After 1 hour and 20 minutes another pump of same capacity was started How much more time will it take to pump all the water out of the ship? Here, Water enter ship per minute =2 metric tone Water pumped out per minute =15 metric tone Water entered more per minute =(2-15)=5 metric tone **After 1 hr & 20 minutes or 80 minutes Water poured =(80*5)=40 MT After 80 minutes another capacity pumped out pump started So two pump pumped out water per minute=(15+15)=3 metric T And 1 minute more water pumped out=(3-2)=1 metric tone Now, 1MT pumped out =1 minute 40 «=(40*1)/1 =40 minutes Answer:40 minutes BGFCL Asst Officer(Accounts/Audit): 10/03/2017 "সজ ৬% ও ৭% হ রর সর স র দ ইট ভভন অ রল ভবভ র গ করর ২ বছর পরর মম ট ৩৫৪ট ক স প যভ ভবভ র রগর ১ম অ রলর এক-চত র ল ২ অ রলর এক-পঞ ম রলর সম হ তরব দ ই অ রলর ভবভ র রগর ময গফ কত?" ধর, => x = (২০০*৩৫৪)/৫৯ ১ম অ শ = x ট ক স, x(১ম অ শ) = ১২০০ ট ক ২য় অ শ = y ট ক এব y(২য় অ শ) = ৫(১২০০)/৪ প শ মত, = ১৫০০ট ক x/৪ = y/৫ দ ই অ তশ য গফল = => ৪y = ৫x (১২০০+১৫০০) = ২৭০০ট ক স, y = ৫x/৪ Shortcut (MCQ): ৬% হ ত ১ম অ তশ ২বছত স দ হতব 12x + (5x/4)*14 = 354 = x*৬/১০০*২ = ৩x/২৫ ট ক =>12x + 7x/4 = 354 আব, => 48+7x = 354*4 ৭% " ২য় " " " " => 118x = 354*4 = ৫x/৪*৭/১০০*২ = ৭x/৪০ ট ক প শ মত, => x = (354*4*100)/118 ৩x/২৫ + ৭x/৪০ = ৩৫৪ So, x = 3*4*100= 1200 =>(২৪x + ৩৫x)/২০০ = ৩৫৪ & y = (5*1200)/4 = 1500 => ৫৯x = ২০০*৩৫৪ --> (x+y)=( ) = 2700 Bangladesh Bank Cash Officer- 24/02/2017 1) Shakil started a business investing Tk in 2009 In 2010, he invested an additional amount of Tk and Raihan joined him with an amount of Tk In 2011, Shakil invested another additional amount of Tk and Jafor joined them with an amount of Published By :: Raju Ahmed

9 Prepared by::: Musfik Alam Recent Written Math Solution 2017 ( Up to April 17) 9 P a g e Tk35000 What will be Raihan's share in profit of Tk earned at the end of 3 years from the start of the business in 2009? Equivalent amount of Shakil= 25000* * = " Raihan = 35000*2= " Jafor = 35000*1= now S:R:J = 3:2:1 sum of ratio= 6 Raihan 's share = *2/6 = ) If 9 engines consume 24 metric tonnes of coal, when each is working 8 hours a day, how much coal will be required for 8 engines, each running 13 hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter type? 4 later type = 3 former type 8 later type = 6 former type consuderating consuming rate same x/6*13 = 24/9*8 x= 26 3) Dawood invested certain amount in three different schemes A, B and C with the rate of 10% pa, 12% pa and 15% pa respectively If the total interest accrued in one year was Tk 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, what was the amount invested in Scheme B? 100% of C = 150% of A = 240% of B so, 100C = 150 A A: C = 2:3 and 150% A = 240% of B A: B = 8:5 A:B=( 8:5)*2= 16:10 A:C = (2:3)*8=16:24 A:B:C =16:10:24=8:5:12 let, A investment = 8x B = 5x C = 12x now 8x*10/ x*12/ *15/100 = x+60x+180x = 3200*100 32x= x = 32000*5/32 =5000 Prepared by: Musfik Alam *************The End***************** Published By :: Raju Ahmed

10 IBBL PO 2017 written exam ( ) ************************************ Total Marks: 50 Time: 1 hour """"""""""""""""" """"''"''''''''''''''' A Precise Writing : 10 ''''''''''''''''''''''''''''''''' Title of that may be " Practice makes a man perfect"/ "Effortful practice to achieve the mastery" I think first one is better than the second B Critical Reasoning : 15 '''''''''''''''''''''''''''''''''''''''' Either Intelligence/merit or Proper Environment is the key to achieve success Discuss your opinion with reasons and proper examples C Analytical Ability : 5 x 2 = 10 ''''''''''''''''''''''''''''''''''''''' In a Cricket team F, G, H and I are Pace Bowlers whereas R, S, T and U are Spin Bowlers Among them 4 Bowlers should be selected by the coach following the conditions: i 2 pace and 2 spin bowlers must be selected ii Either F or G must be selected, but both can't be selected iii If R is selected, then H must be selected iv If T is selected, then G can't be selected Questions : `````````````` 1 If R is selected, among them which of the bowlers can't be selected? 2 If neither S nor U is selected, then which two pacers must be selected? 3 If G is selected, among them which two bowlers can't be selected? 4 If G, I and S are selected, then which must be the 4th bowler? 5 If T is selected and U is not selected, then how many different combinations are available to the coach? Answers : '''''''''''''''''''' 1 I can't be selected 2 F and H must be selected 3 F and T can't be selecteed 4 U must be the 4th bowlers 5 confused : 2 combinations (TFRH, TFSI) / 3 combinations (TFRH, TFSI, TFSH) D Math : 05 ''''''''''' The costs of equities of type A and type B (in dollars) are two different positive integers If 4 equities of type A and 5 equities of type B together costs 27 dollars, what is the total cost of 2 equities of type A and 3 equities of type B in dollars? Answer : 15 `````````` E General Knowledge : 10 x 1 = 10

''''''''''''''''''''''''''''''''''''''''''' 1 Bengali Renessiance started by = Raja Rammohon Roy 2 Schedule Bank Regulated by = Bank Company Act 1991 3 Armed Forces Day = 21st November 4 in an email

11 ''''''''''''''''''''''''''''''''''''''''''' 1 Bengali Renessiance started by = Raja Rammohon Roy 2 Schedule Bank Regulated by = Bank Company Act Armed Forces Day = 21st November 4 in an address, sign = Domain Name 5 Monpura 70 = Zainul Abedin ICC cricket world cup will be held in = England 7 Mongla port located by tge side of = Pashur River 8 VSAT full form = Very Small Aperture Terminal 9 IFC eadquarter situated at = Washington DC 10 ACU Chairman from= Bangladesh

[Recent Written Math Solution 2017,Prepared By: Musfik Alam] Recent BankWritten Math Solution Collected, Edited & Written By: Musfik Alam

[Recent Written Math Solution 2017,Prepared By: Musfik Alam] Recent BankWritten Math Solution Collected, Edited & Written By: Musfik Alam Recent BankWritten Math Solution-2017 Collected, Edited & Written By: Musfik Alam Recent Written Math Collection: 1.Bangladesh Krishi Bank Senior Officer (20-01-2017) 2.Bangladesh Bank Assistant Director(General