3571 . Two numbers are such that the ratio between them is 4:7 . If each is increased by 4, the ratio becomes 3:5 . The larger number is:

A. 36
B. 48
C. 56
D. 64

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Answer: Option C

Explanation:

A : B
4x : 7x
Now 4 is added to each number

4x + 47x + 4 = 35⇒20x + 20 = 21x + 12⇒x = 8">4x + 47x + 4=35⇒20x + 20 = 21x + 12⇒x = 8

∴ Smaller number is 4 × 8 = 32
Larger number is 7 × 8 = 56

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Bangladesh Bank - Assistant Director - 2016

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3572 . Two numbers differ by 5. If their product is 336, then the sum of the two numbers is -

A. 21
B. 37
C. 28
D. 51

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Answer: Option B

Explanation:

(x + y)² = (x - y)² + 4xy

= 5² + 4×336

= 25 + 1344

= 1369

∴(x + y) = 37

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3573 . Two outlets of a motor manufacturing company reported that revenue from outlet x in 2013 was down 11 percent from 2012. and revenue from outlet Y in 2013 were up 7 percent from 2012. If total revenue from outlet X & Y in 2013 was up 1 percent from 2012, what is the ratio of revenue from outlet X in 2012 revenue from outlet Y in 2012?

A. 1 : 2
B. 4: 5
C. 1 : 1
D. 3: 2
E. None of these

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Answer: Option E

Explanation:

Total out lets of X in 2012 = 11 - 1 = 10

and total out lets of Y in 2012 = 7 + 1 = 8

the ratio between two outlet , X : Y = 10 : 8 = 5 : 4

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3574 . Two pipe A & B can fill a tank in 15 minutes and 20 minutes respectively. If both pipes are opend together, then after how much time B should be closed so that the tank is full in 10 minutes?

A. 20/3
B. 8
C. 4
D. 6

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Answer: Option A

Explanation:

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3575 . Two pipes A & B would be fill a tank in 20 & 30 minutes respectively. Both pipes being oppen, find when A must be turned off so that the tank may be just filled in 15 minutes.

A. After 10 minutes
B. After 20 minutes
C. After 15 minutes
D. None

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Answer: Option A

Explanation:

Let the time be T minutes after which pipe A need to turned off. Both of the pipes remain open together only for T minutes.

Pipe A fills 1/20 of the tank in 1 minute.

Pipe B fills 1/30 of the tank in 1 minute

Together in 1 minute they fill (1/20 + 1/30 = 1/12) of the tank.

Together in T minutes they fill = T/12 of the tank

In (15 - T) minutes, pipe B alone can fill = (15 - T)/30 of the tank

Now, T/12 + (15 - T)/30 = 1

or, {15T + 6(15 - T)}/180 = 1

or, (15T + 90 - 6T) / 180 = 1

or, 9T = 180 - 90

or, 9T = 90

So, T = 10 minutes

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3576 . Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opended together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

A. 10 min 20 sec
B. 11 min 45 sec
C. 12 min 30 sec
D. 14 min 40 sec

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Answer: Option D

Explanation:

By pipe A and B

Part filled in 4 minutes = 4×( 1/15 + 1/20) = 7/15

Remaining part = 1 - 7/15 = 8/15

part filled by B in 1 minute = 1/20

By B,

1/20 part can be filled in 1 minute

8/15 part can be filled in ( 20×8)o/15 = 10 min 40 sec

So, total time required ( 4 min + 10min 40 sec) = 14 min 40 sec.

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3577 . Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?

A. 10 minutes
B. 11 minutes
C. 12 minutes
D. 15 minutes
E. None of these

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Answer: Option C

Explanation:

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Bangladesh Bank - Assistant Director - 2014

A. 4
B. 4.5
C. 5
D. 5.5

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Answer: Option C

Explanation:

(A + B) ' 2 hours work when open d = 1/6 + 1/4 = 5/12

(A + B) 4 hours work when open = 5/12 × 2 = 5/6

Remaining work 1 - 5/6 = 1/6

Now, its A turn in 5th hour

1/6 work will be done by A in 1 hour

Total time = 4 + 1 = 5 hours

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3579 . Two planes leave the airport at the same time, Minutes later, plane A is 70 miles due north of the airport. How far apart are the two airplanes?

A. 182 miles
B. 119 miles
C. 163.8 miles
D. 238 miles

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Answer: Option A

Explanation:

Distance between two plane = √ (33)² + (56)² = 65

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সহকারী পরিচালক(AD) -12.11.2021

A. 175m
B. 200m
C. 273m
D. 300m

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Answer: Option C

Explanation:

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Dhaka Bank Ltd | Probationary Officer | 05-02-2021

A. 22
B. 17
C. 12
D. 9

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Answer: Option D

Explanation:

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Dhaka Bank Ltd | Probationary Officer | 05-02-2021

A. TK. 250
B. TK. 275
C. TK. 280
D. TK. 300
E. None of these

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Answer: Option A

Explanation:

Suppose, y=a

So, x=a×120/100

=6a/5

According to question,

a+6a/5=550

11a/5=550

11a=2750

a=250

answer: Y is paid 250

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3583 . Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank ?

A. 4.5 hrs
B. 7 hrs
C. 18 hrs
D. 36 hrs

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Answer: Option D

Explanation:

A ও B একত্রে tank টি পূর্ন করে = 20×5/20×5 = 100/25 ঘন্টা = 4 ঘন্টা।

Leakage সহ A ও B tank টি পূর্ণ করে ( 4 + 1/2) ঘন্টায় = 9/2 ঘন্টায়

Leakage 1 ঘন্টায় খালি করে ( 1/4 - 2/9) অংশ = 9 - 8 /36 = 1/36

Leakage দ্বারা tank টি খালি হয়. 36 ঘন্টায়

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3584 . Two third of the faculty members of a department are female. Twelve of the male faculty members are unmarried, while 60% of them married. What is the total number of faculty members in the department?

A. 90
B. 60
C. 30
D. none of these

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Answer: Option A

Explanation:

Unmarried male faculty members are (100 - 60) = 40% of all male faculty members.

Now, 40% of male faculty = 12

So, Number of total male faculty members = 12 x 100 / 40 = 30.

Again, male faculty members are (1 - 2/3) = 1/3 of all faculty members.

Or, 1/3 of all faculty members = 30

So, number of total faculty members = 30 x 3 = 90.

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3585 . Two trains 105 meters and 90 meters long, run at the speeds of 45 km/h and 72 km/h respectively , in opposite directions on parallel tracks. The time which they take to cross each other , is :

A. 8 seconds
B. 7 seconds
C. 5 seconds
D. 6 seconds

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Answer: Option D

Explanation:

Length of the 1st train = 105 m
Length of the 2nd train = 90 m
Relative speed of the trains,
= 45 + 72 = 117 kmph
= (117 × 5)/18
= 32.5 m/sec
Time taken to cross each other,
= (Length of 1st train + length of 2nd train)/ relative speed of the trains
∴ Time taken = 195/32.5
= 6 secs.

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সমন্বিত ৬ (ব্যাংক) ও ২ টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার ১০.০৬.২০১৯

3571 . Two numbers are such that the ratio between them is 4:7 . If each is increased by 4, the ratio becomes 3:5 . The larger number is:

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3572 . Two numbers differ by 5. If their product is 336, then the sum of the two numbers is -

3574 . Two pipe A & B can fill a tank in 15 minutes and 20 minutes respectively. If both pipes are opend together, then after how much time B should be closed so that the tank is full in 10 minutes?

3575 . Two pipes A & B would be fill a tank in 20 & 30 minutes respectively. Both pipes being oppen, find when A must be turned off so that the tank may be just filled in 15 minutes.

3576 . Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opended together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

3577 . Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?

3578 . Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full ?

3579 . Two planes leave the airport at the same time, Minutes later, plane A is 70 miles due north of the airport. How far apart are the two airplanes?

3580 . Two ships are sailing in the sea on the two sides of a lighthouse. The of elevation of the top of the lighthouse an observed from the two ships are 30 degree and 45 degree respectively. If the lighthouse is 100 m high, the distance between the two ships is-

3581 . Two sides of a triangle are 7 and 16. Which of the following is not the length of the third side?

3582 . Two tailors X and Y are paid a total of TK. 550 per week by their employer. If X is paid 120 percent of the amount paid to Y, how much is Y paid per week?

3583 . Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank ?

3584 . Two third of the faculty members of a department are female. Twelve of the male faculty members are unmarried, while 60% of them married. What is the total number of faculty members in the department?

3585 . Two trains 105 meters and 90 meters long, run at the speeds of 45 km/h and 72 km/h respectively , in opposite directions on parallel tracks. The time which they take to cross each other , is :

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