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**Sonali Bank Officer FF Quota Written Math Solution**

যেহেতু 5 Bank Officer Cash 2019 এর written ও নিবে AUST তাই Sonali Bank Officer FF Quota Written Exam Math Solution করতেই হবে। সনাতন দা’র আড্ডার এই পোস্টে Sonali Bank Officer FF Quota Written Exam 2019 এর সংগৃহীত Math গুলোর Solution দেয়া হল। আপনারা অবশ্যই হাতে-কলমে Practice করবেন।

**Sonali Bank Officer FF Quota Written Math Solution: 01**

A product is made with three components A, B, C and the ratio of the prices are 4:3:2. After 1 year price of A increased by 10%, B increased by 8% & C decreased by 5%. What is the percentage of total increase?

Solution:

Let,

A, B & C = 4x, 3x, 2x respectively.

New increase = 4x × 110/100 + 3x × 108/100 + 2x × 95/100

= 4.4x + 3.24x + 1.9x

= 9.54x

Increased = 9.54x – (4x + 3x + 2x) = 0.54x

Increase % = (0.54x × 100)/ 9x = 6%

Answer: The percentage of total increase = 6%.

**Sonali Bank Officer FF Quota Written Math Solution: 02**

A and B started a business with initial investments in the respective ratio of 18:7. After four months from the start of the business, A invested Rs.2000 more and B invested Rs.7000 more. At the end of one year, if the profit was distributed among them in the ratio of 2:1 respectively. What was the total initial investment with which A and B started the business?

Solution:

Let,

The initial investment of A = 18x

And

Initial investment of B = 7x

According to question,

{18x×4 + (18x+2000)×8} / {7x×4+(7x+7000)×8} = 2/1

Or, 9x+18x+2000 = 7x+14x+14000

6x = 12000

x=2000

So, Total initial investments of A and B

= 18x+7x = 25x = 25×2000

= 50000

Answer: The total initial investment with which A and B started the business was Rs. 50000.

**Sonali Bank Officer FF Quota Written Math Solution: 03**

A river is flowing at a speed of 5 km/h in a particular direction. A man, who can swim at a speed of 20 km/h in still water, starts swimming along the direction of flow of the river from points A and reaches another point B which is at a distance of 30 km from the starting point A. On reaching point B, the man turns back and starts swimming against the direction of flow of the river and stops after reaching point A. The total time taken by the man to complete his journey is?

Solution:

Given,

Speed of the stream = 5 km/h

and

speed of the man in still water = 20 km/h

Speed of the man in downstream = 20 + 5 = 25 km/h

and

Speed of the man in upstream = 20 – 5 = 15 km/h

Therefore, Total time taken to complete the journey

= 30/25+30/15

= 30{(3+5)/75)}

=(30×8)/75

= 3 h 12 min

Answer: The total time taken by the man to complete his journey is = 3 h 12 min.

**Sonali Bank Officer FF Quota Written Math Solution: 04**

The cost of manufacturing a popular model car is made up of three items: cost of raw material, labour and overheads- in a year the cost of three items were in the ratio of 4:3:2. Next year the cost of the raw material rose by 10% ,labour cost increased by 8% but overhead reduced by 5%. Then % increase in the price of the car ?

Solution:

Let,

the cost of material, labour and overhead = 4x, 3x, 2x respectively.

New increase = 4x × 110/100 + 3x × 108/100 + 2x × 95/100

= 4.4x + 3.24x + 1.9x

= 9.54x

Increased = 9.54x – (4x + 3x + 2x) = 0.54x

Increase % = (0.54x × 100)/ 9x = 6%

Answer: The required increase = 6%.

**Sonali Bank Officer FF Quota Written Math Solution: 05**

The distance between two stations ‘X and Y’ is 450 km. A train L Starts at 6:00 pm from X and moves towards Y at an average speed of 60 km/h. Another train M starts from Y at 5 : 20 pm and moves towards X at an average speed of 80 km/h. How far from x will the two trains meet and at what time?

Solution:

Let,

Two trains meet at a km from X.

{Time taken by M to cover (450 – a) km} – (Time taken by L to cover a km) = 40/60

Or, (450 – a)/80 – a/60 = 40/60

Or, (450 – a)/80 = 40/60 + a/60

Or, (450-a)/8 – (a + 40)/6 = 0

Or, 3(450 – a) – 4(a + 40) = 0

Or, 7a = 1190

Or, a = 170

Time taken by L to cover 170 km = 170/60 hr = 2 hr 50 min

So, the two trains will meet at 6:00pm + 2 hr 50 min = 8:50 pm

Answer: Requirde distance = 170 km and meeting time = 8:50 pm.

**Sonali Bank Officer FF Quota Written Math Solution: 06**

Amit deposited some money in a bank, which pays 15% interest per annum compounded yearly. If the bank provides simple interest instead of compound interest, he receives Rs. 2400 after 2 years. Find the total Amount that he received after 2 years.

Solution:

Simple interest = pnr

Or, 2400 = p×2×2/100

Or, p = 8000

Now,

Compound interest,

A = p(1 + r/100)^{n}

Or, A = 8000(1+15/100)^{2}

Or, A = 8000 (115/100)^{2}

Or, A = 10580

Answer: The total amount he received after 2 years = 10,540.

**Sonali Bank Officer FF Quota Written Math Solution: 07**

12 men can complete a piece of work in 36 days. 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only women were to complete the remaining piece of work in 4 days, how many women would be required?

Solution:

12 men can complete the work in 36 days.

So, 12×36 men can complete the work in 1 day

Again,

18 women can complete the work in 60 days

So, 18×60 women can complete the work in 1 day

12×36 men = 18×60 women

So, 2 men = 5 women

Now, 8 men + 20 women = (4×5 + 20) women = 40 women

So, 18 women complete the work in 60 days

So, 40 women’s 20 days work,

= (40×20)/(18×60)

= 20/27

So, remaining work

= 1 – 20/27

= 7/27

So, 18×60 women do 1 work in 1 day

So, 1 woman does = 1/(18×60) work in 1 day

So, 1 woman does in 4 days = 4/(18×15) work

So, 1/(18×15) work is done in 4 days by 1 woman

So, 7/27 work is done in 4 days by = (18×15×7)/27 = 70 women

Answer: The required number of women = 70.

**Sonali Bank Officer FF Quota Written ছাড়া আরও দেখুন:**

**Sonali Bank Written Exam Freedom Fighter 2019: AUST**

**All Bank Written Questions Answer : AUST**

**bank exam preparation : written suggestion**

**bank job question : written math suggestion : AUST**

**bank written exam : কেন টিকবেন না**

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