3556 . Two number are in the ratio 3:5 . If 9 is subtracted form each , the new numbers are in the ratio 1223. The smaller number is

A. 27
B. 33
C. 49
D. 55

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Answer: Option B

Explanation:

Let the two numbers be 3x and 5x respectively.
According to the given problem,
(3x - 9)/(5x - 9) = 12/23
= > 23 × (3x - 9) = (5x - 9) × 12
= > 69x - 207 = 60x - 108
= >9x = 207 - 108
= >x = 99/9 = 11
Therefore, the two numbers are (3 × 11) = 33 and (5 × 11) = 55.
The smaller number is 33.

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

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

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Answer: Option D

Explanation:

Let's set up the equation based on the given information:

5% of M + 4% of N = (2/3) * (6% of M + 8% of N)

Now, let's simplify and solve for the ratio of M and N.

First, convert percentages to decimals:

0.05M + 0.04N = (2/3) * (0.06M + 0.08N)

Now, eliminate the fractions by multiplying both sides by 3 (the least common multiple of 3 and 2):

3 * (0.05M + 0.04N) = 2 * (0.06M + 0.08N)

Now, distribute on both sides:

0.15M + 0.12N = 0.12M + 0.16N

Next, let's isolate terms with M and N on different sides of the equation:

0.15M - 0.12M = 0.16N - 0.12N

0.03M = 0.04N

Now, divide both sides by 0.03 to find the ratio of M and N:

(M/N) = (0.04N) / 0.03M

(M/N) = (4/3) * (N/M)

Now, simplify the ratio:

(M/N) = 4/3

So, the ratio of M to N is 4:3. The correct answer is 4:3.

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3558 . Two numbers are in the ratio 1:2. If 7 is added to both, their ratio changes to 3:5. The greatest number is :

A. 24
B. 26
C. 28
D. 32

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Answer: Option C

Explanation:

Hints : The difference between the two numbers remain the same 1 : 2 = 2 : 4 ( maintain same difference between the two ratio)

Increase is 1 unit

so, 1 unit 7.

Biggest number is 4 units, hence it is 7 × 4 = 28

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3559 . Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12: 23. the smaller number is:

A. 27
B. 33
C. 49
D. 55

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Answer: Option B

Explanation:

Two numbers are 3x,5x.

3x-9/5x-9=12/23

=>23(3x-9)=12(5x-9)

=>69x-207=60x-108

=>9x=99

x=33

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পূবালী ব্যাংক লিমিটেড || সিনিয়র অফিসার (30-09-2023) || 2023

A. 195 and 143
B. 190 and 143
C. 195 and 145
D. None of these

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Answer: Option A

Explanation:

Let the required numbers be 15.x and 11 x. Then their H.C.F. is x. So x = 13. The numbers are 15 x 13 and 11 x 13 i.e. 195 and 143.

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Bangladesh Bank - Assistant Director - 2014

A. 3 : 4
B. 4 : 5
C. 2 : 3
D. 4 : 7

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Answer: Option B

Explanation:

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আশুগঞ্জ পাওয়ার স্টেশন কোম্পানী লিঃ (APSCL) || সহকারী প্রকৌশলী (মেকানিক্যাল ও ইলেকট্রিক্যাল এন্ড ইলেকট্রনিক্স) (27-09-2024) || 2024

A. 2 :5
B. 3 : 5
C. 4 : 5
D. 6 : 7

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Answer: Option C

Explanation:

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শিল্প মন্ত্রণালয়ের অধীন বিসিআইসি'র সহকারী ব্যবস্থাপক-০৯.১২.২০১১

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

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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3565 . 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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3566 . 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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3567 . 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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3568 . 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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3569 . 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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3556 . Two number are in the ratio 3:5 . If 9 is subtracted form each , the new numbers are in the ratio 1223. The smaller number is

3557 . Two number M and N are such that the sum of 5% of M and 4% of N is two-third of the sum of 6% of M and 8% of N. What is the ratio of M and N?

3558 . Two numbers are in the ratio 1:2. If 7 is added to both, their ratio changes to 3:5. The greatest number is :

3559 . Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12: 23. the smaller number is:

Two numbers are 3x,5x.

3560 . Two numbers are in the ratio of 15:11. If their H.C.F is 13, find the numbers.

3561 . Two numbers are respectively % and 50% more than a third 20 number. The ratio of the first two numbers is

3562 . Two numbers are respectively 20% and 50% mor than a third number. The ratio of the two numbers is :

3563 . 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:

3564 . Two numbers differ by 5. If their product is 336, then the sum of the two numbers is -

3566 . 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?

3567 . 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.

3568 . 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?

3569 . 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?

3570 . 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 ?

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