706 . 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?

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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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

708 . 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

Explanation:

709 . 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

Explanation:

710 . 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

Senior Officer- 8 Bank Recruitment Test 31-08-2018

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

712 . 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

Explanation:

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

714 . 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

Bangladesh Bank - Officer - 2001

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

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Answer: Option C

Explanation:

716 . A box contains 10 electric bulbs from which 2 bulbs are defective. Two bulbs are chosen at random. What is the probability that one of them is defective?

A. 3/10
B. 25/68
C. 16/45
D. 8/33

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Answer: Option C

Explanation:

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A. 1.2gm
B. 1.6gm
C. 2.75gm
D. 6.15gm

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Answer: Option B

Explanation:

Let's denote the weight of the empty box as "E" grams.

Now, let's calculate the total weight of the box and its contents:

Weight of 12 poles = 12 poles * 1.1 gm/pole = 13.2 gm
Weight of 7 pieces of net = 7 pieces * 0.2 gm/piece = 1.4 gm

So, the total weight of the poles and net is 13.2 gm + 1.4 gm = 14.6 gm.

Now, we are given that the box and its contents together weigh 16.25 gm. Therefore, we can write the equation:

E (weight of the empty box) + 14.6 gm (weight of poles and net) = 16.25 gm (total weight)

Now, solve for E:

E + 14.6 gm = 16.25 gm

Subtract 14.6 gm from both sides:

E = 16.25 gm - 14.6 gm

E = 1.65 gm

So, the weight of the empty box is 1.65 grams, which is equivalent to 1.6 grams when rounded to one decimal place.

Three Combined Bank Recruitment - Senior Officer 03 .08.2018 ||

A. 32
B. 48
C. 64
D. 96
E. None of these

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Answer: Option C

Explanation:

719 . A box contains 200 marbles, 25% of them are red and the rest are black. From the box, you gave your brother a certain number of marbles of which 60% are black. You then found that among the remaining marbles, only 20% are red. How many marbles did you give

A. 50
B. 60
C. 80
D. None

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Answer: Option A

Explanation:

720 . A box contains 21 balls numbered 1 to 21 . A ball numbered 1 to 21 . A ball is drawn and then another ball is brawn without replacement . What is the probability that both balls are even numbered?

A. 2/7
B. 3/14
C. 8/21
D. 5/21

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Answer: Option B

Explanation:

জনতা ও রূপালী ব্যাংক- অফিসার ১৩.১২.২০১৯

706 . 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?

707 . 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?

708 . 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?

709 . 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?

710 . 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.

711 . 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 ?

712 . 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?

713 . 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 ?

714 . 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 ?

715 . 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?

716 . A box contains 10 electric bulbs from which 2 bulbs are defective. Two bulbs are chosen at random. What is the probability that one of them is defective?

717 . A box contains 12 poles and 7 pieces of net. Each piece of net weighs 0.2 gm. each pole weighs 1.1 gm. The box and its contents together weigh 16.25 gm. How much does the empty box weigh?

718 . A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

719 . A box contains 200 marbles, 25% of them are red and the rest are black. From the box, you gave your brother a certain number of marbles of which 60% are black. You then found that among the remaining marbles, only 20% are red. How many marbles did you give

720 . A box contains 21 balls numbered 1 to 21 . A ball numbered 1 to 21 . A ball is drawn and then another ball is brawn without replacement . What is the probability that both balls are even numbered?

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