706 . A batsman makes a score of 80 runs in the 16th innings and increases average by 3. What is his average after 16th innings?

A. 25
B. 29
C. 32
D. 35

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Answer: Option D

Explanation:

Let,

Average of the 15 innings = x

So, the total runs of the 15 innings = x × 15

ATQ,

(x × 15 + 80)/16 = x + 3

=> 15x + 80 = 16x + 48

=> x = 80-48 = 32

So, the average of the 16th innings = 32+3 = 35

Ans. 35.

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NRBC Bank PLC || Trainee Assistant Officer (TAO) (26-10-2024) || 2024

A. 10/21
B. 11/21
C. 2/7
D. 5/7

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Answer: Option A

Explanation:

n(S) = 7C2 = 21

n( E) = 5C2 = 5! /2! 3! = 10

কোনো বলই নীল না হওয়ার সম্ভাবনা = n( E) / n(S) = 10/21

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708 . A bell rings every 15 minute. If the bell rang at 12.40, which of the following could be a time at which the bell had sounded?

A. 5:30
B. 6:45
C. 7:15
D. 8:10

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Answer: Option D

Explanation:

Very easy technique.

Every hour is 60 minutes, which is divisible by 15.

That means once the bell rang, every hour it will ring no matter what.

So it will ring at 1.40, 2.40, and so on.

It will ring at 5.40 (so it can't be 5:30 because 5.40-5.30= 10 minutes apart)

It will ring at 6.40 (so it can't be 6:45 because 6.45-6.40= 5 minutes apart)

It will ring at 7.40 (so it can't be 7:15 because 7.40-7.15= 25 minutes apart)

It will ring at 8.40 (so it will be 8:10 because 8.40-8.10= 30 minutes apart which is also divisible by 15).

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709 . 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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710 . 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

Explanation:

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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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Basic bank recruitment 2018; auditor 26.01.2018 || Image 2018

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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716 . 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:

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717 . 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:

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718 . 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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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

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720 . 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:

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জনতা ও রূপালী ব্যাংক- অফিসার ১৩.১২.২০১৯

706 . A batsman makes a score of 80 runs in the 16th innings and increases average by 3. What is his average after 16th innings?

707 . A beg contains 2 red, 3 green and 2 blue balls. If two balls are drawn at random, what is the probability that none of the balls drawn is blue ?

708 . A bell rings every 15 minute. If the bell rang at 12.40, which of the following could be a time at which the bell had sounded?

709 . 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?

710 . 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.

711 . 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.

712 . 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?

713 . 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.

714 . 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?

715 . 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?

716 . 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?

717 . 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?

718 . 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.

719 . 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 ?

720 . 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?

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