706 . A board of length L feet is cut into two pieces such that the length of one piece is 1 foot more than twice the length of the other piece. Which of the following is the length, in feet, of the longer piece?

A. (2L+1)/2
B. (L-1)/3
C. (2L+3)/3
D. (2L+1)/3

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Answer: Option D

Explanation:

Let length of piece A = 2x - 1

length of piece B = x

2x - 1 + x = L

= >3x - 1 = L

= >x = (L + 1)/3

length of piece A = 2[(L + 1)/3] - 1

= (2L + 2 - 3)/3 = (2L - 1)/3

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707 . A boat can travel form point A to point B and return back to point a in 9 hours. Speed of the boat in still water is 8 km/h and the speed of the stream is 4 km/h. Find the distance between A and B.

A. 18 km
B. 27 km
C. 36 km
D. 45 km

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Answer: Option B

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Officer (General) |-Sonali | Janata | Bangladesh Krishi_Bangladesh Development bank ২৪.০৫.২০১৯

A. 2 hours
B. 3 hours
C. 4 hours
D. 5 hours
E. None of these

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Answer: Option C

Explanation:

Downstream speed = speed of boat + speed of stream

= 13 km/hr + 4 km/hr

= 17 km/hr

Now, 17 km goes in 1 hour

1 km goes in 1/17 hour

68 km goes in ( 68×1)/17 hour = 4 hour

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অফিসার (ক্যাশ ) - Sonali | Rupali | BD Krishi | Rajshahi Krishi Unnayn | Investment Corporation Of Bangladesh - ২৯. ০৩.২০১৯

A. 10 km/hr
B. 12 km/hr
C. 14 km/hr
D. 8 km/hr

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Answer: Option B

Explanation:

Let the speed of the boat and speed of the stream be x km/hr and y km/hr respectively

According to the question,

143 / (x - y) = 13 - (- - - (i))

143 / (x + y) =11-***=(ii)

On comparing both eq

11(x + y) = 13(x - y)

11x + 11y = 13x - 13y

24y = 2x

x / y = 12/1
Ans: Speed of the boat in still water is 12 km/hr

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Janata Bank PLC || Officer (Rural Credit) (27-10-2023) || 2023

A. 2
B. 3
C. 4
D. 5

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Answer: Option B

Explanation:

boat speed + steam speed = 8 km/hour

boat speed - steam speed = 2 km/hour

(Doing Subtraction), 2*(steam speed) = 6 km/hour

steam speed = 6/2 = 3 km/hour (Ans)

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বিসিআইসি | সহকারী প্রকৌশলী (কমার্শিয়াল) | 10-12-2021 || 2021

A. 1/2 km/hr
B. 1 km/hr
C. 2 km/hr
D. 1.5 km/hr

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Answer: Option B

Explanation:

Let,

Speed of stream = y &

Speed of boat = x

ATQ,

x - y = 24/6 = 4— (i)

x + y = 24/4 = 6 ——– (ii).

From,

(ii) – (i),

x + y - x + y = 6 - 4

Or, 2y = 2

Or, y = 1

∴ Speed of stream = 1 km/hr (ans)

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NRBC BANK PO/TAO (16-06-2023) || 2023

A. m/(r + 2s)
B. m/(r + s)
C. (m + r)/s
D. mr - s

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Answer: Option A

Explanation:

Let the speed of the boat in still water be “x” miles/hr.

The speed of the stream is given as “s” miles/hr

Therefore,

Speed of the boat upstream = (x – s) miles/hr ….. (i)

Speed of the boat downstream = (x + s) miles/hr ……. (ii)

The distance covered by the boat while sailing upstream is given as “m” miles

Speed of the boat upstream is given as “r” miles/hr …. (iii)

From (i) & (iii), we get

x - s = r

⇒ x = r + s ….. (iv)

Substituting the value of x in eq. (iii), we get

Speed of the boat downstream = (r + s + s) miles/hr = (r + 2s) miles/hr ….. (v)

Time = distance / speed

= [m / (r + 2s)] hr

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713 . A boat takes 19 hours to travel downstream from point A to point B and coming back to a point C midway . betway A and B . If the speed of the stream is 4 km/hr . what is the distance between A and B?

A. 160 km
B. 200 km
C. 180 km
D. 220 km

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Answer: Option C

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714 . A boat takes 4 hours to cover a certain distance running downstream, while it requires 8 hours 48 minutes to cover the same distance .Find the ratio between the speed of the current and the speed of the boat?

A. 1 : 2
B. 3 : 8
C. 2 : 3
D. 4 : 3

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Answer: Option B

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715 . A boat travel with a speed of 10 km/hr in still water. If the speed of the stream is 3 km/hr then find time taken by boat to travel 52 km downstream.

A. 2hrs
B. 4hrs
C. 5hrs
D. 9hrs

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Answer: Option B

Explanation:

Speed downstream = (10 + 3) km/hr = 13 km/hr
Time taken to travel 52 km downstream = 52/13 hours = 4 hours

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Two Combined Bank Recruitment Test Post: Officer - 28/09/2018

A. 40 minutes
B. 1 hour
C. 1 hour 15 minutes
D. 1 hour 30 minutes

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Answer: Option C

Explanation:

Hints: Rate down stream = 1/10 × 60 km/hr = 6km/hr

Rate up stream = 2 km/hr

speed in still water = 1/2 (6 + 2)km/hr = 4 km/hr

Required time = 5/4 hrs = 1 hrs 15 min

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717 . A bond gets matured in 10 years . invested TK. 42,000 in this bond and received Tk. 105000 once the bond matured . If the bond was under simple interest . then what was the rate of interest per annum?

A. 10%
B. 12.5%
C. 15%
D. 7.5%

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Answer: Option C

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জনতা ও রূপালী ব্যাংক- অফিসার ১৩.১২.২০১৯

A. 45
B. 50
C. 55
D. 60

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Answer: Option C

Explanation:

At 30% profit , cost = Tk, ( 100×65)/130 = Tk.50

Now, At 10% profit , the new selling price = Tk.(110 × 50) 100 = Tk.55

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719 . A book sells for TK. 65. This price gives the seller a profit 30% on his cost. What will bi the new selling price if he cuts his profit to 10% of the costs ?

A. 55
B. 50
C. 45
D. None of these

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Answer: Option A

Explanation:

Given that,

In 30% profit, Sell price = Tk 65

So, 130% = 65

= > 1% = 65÷130

= > 100% = (65×100)÷130 = 50

So, cost price = 50

New, profit percentage is 10%

In 10% profit, sell price is

50×110% = 55

Ans: 55

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Bangladesh Bank - Officer - 2001

A. 926
B. 1020
C. 1026
D. 1080

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Answer: Option C

Explanation:

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706 . A board of length L feet is cut into two pieces such that the length of one piece is 1 foot more than twice the length of the other piece. Which of the following is the length, in feet, of the longer piece?

707 . A boat can travel form point A to point B and return back to point a in 9 hours. Speed of the boat in still water is 8 km/h and the speed of the stream is 4 km/h. Find the distance between A and B.

708 . A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.

709 . A boat covers 143 km upstream in 13 hours and the same distance downstream in 11 hours. What is the speed (in km / hr ) of the boat in still (without stream) water?

710 . A boat goes 8 km in one hour along the steam and 2 km in one hour against the stream, The speed in km/hr of the stream is.

711 . A boat sailing against a stream of river takes 6 hours to travel 24 kms, while sailing with the stream it takes 4 hours to travel the same distance. What is the speed of the stream?

712 . A boat sails m miles upstream at the rate of r miles per hour. If the rate of the stream is s miles per hour, how long will it take the boat to return to its starting point?

713 . A boat takes 19 hours to travel downstream from point A to point B and coming back to a point C midway . betway A and B . If the speed of the stream is 4 km/hr . what is the distance between A and B?

714 . A boat takes 4 hours to cover a certain distance running downstream, while it requires 8 hours 48 minutes to cover the same distance .Find the ratio between the speed of the current and the speed of the boat?

715 . A boat travel with a speed of 10 km/hr in still water. If the speed of the stream is 3 km/hr then find time taken by boat to travel 52 km downstream.

716 . A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water ?

717 . A bond gets matured in 10 years . invested TK. 42,000 in this bond and received Tk. 105000 once the bond matured . If the bond was under simple interest . then what was the rate of interest per annum?

718 . A book sells for TK. 65. This price gives the seller a profit of 30% on his cost. What will be the new selling price if he cuts his profit to 10% of its cost ?

719 . A book sells for TK. 65. This price gives the seller a profit 30% on his cost. What will bi the new selling price if he cuts his profit to 10% of the costs ?

720 . A borrwer pays 18% interest per year on the first Tk.600 he borrows and 17% per year on the part of the loanin excess of Tk.6000. How much interests will the borrower pay on a loan of Tk.6000 for one year?

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