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**Sonali Bank Exam Question Solution 2018**

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**Written Math Solution-2018 Sonali Bank Officer exam:**

**Question-1**:

Amin has 12 pieces of tk 10 and TK 5 notes in his wallet.If the total value of all notes is less than TK 95,what is the maximum number of tk 10 notes that he has?

Solution:

Suppose,

Amin has 10 tk note be = x

And 5 tk note be =(12-x)

According to the question,

10*x+(12-x)5<95

=> x <7

value of x must be less than 7, because the question said how many maximum number of 10 tk note be Amin has

So Answer:6

**Question-2:**

A, B, C enter into a partnership. A invests 3 times 3 times as much as B and B invests two– third of C invest. At the end of the year the total profit earn 6600. What was B share?

Solution:

Suppose,

C invest = x tk

B= x2/3=2x/3 tk

And

A=(2x/3) 3= 2x tk

Investment ratio of

A:B:C= 2x:2x/3:x

= 6x:2x:3x

=6:2:3

Sum of ratio= (6+2+3)= 11

B ‘share = (6600*2/11) =1200 Tk

Answer:1200 tk

**Question-3:**

A & B can complete a work in 15 days and 10 days respectively. They started doing work together but after 2 days B had to leave and A alone complete the whole work. In how many days it took to complete the whole work?

Solution:

A work in15 days 1 portion

A work in 1 day 1/15 portion

Similarly

B’s 1 day work 1/30 portion

Both (A+B), 1 days work

=(1/15)+(1/10)

= 1/6 portion

And Both 2 days work

=2/6=1/3 portion

Remaining Work=(1–1/3)

= 2/3 portion

A 1 day work= 1/15 portion

A 1/15 portion can do =1 day

2/3 part = 15*2/3= 10 day

Hence Total time taken to finish the whole work=10+2= 12 day’S

Answer:12 day’s

**Question-4:**

A depositor deposited 4000 at x% and 5000 at y% and earned 320 as interest. if he could deposit 5000 at x% and 4000 at y% then he would earn 310. what is value of x and y.

Solution:

According to the question,

4000× x/100+5000×y/100=320

40x+50y=320

Or, 4x+5y=32———-(1)

In the same way

(5000x)/100+(4000y)/100=310

Or, 5x+4y=31———-(2)

By doing (1)5-(2)4=»

20x+25y=160

20x+16y=124

Or, 9y=36

Or,y=4

Putting value of y in equation (1)

4x + 5*4=32

Or, x=3

So the value of (x,y)=(3,4)

Ans:(3,4)

#কোন সেটের অংকে exactly_two এই কথাটা থাকলে নিচের সূএটি ব্যবহার করা যেতে পারে।

Total=All single-(exactly two groups overlap)-{2*all three}+None

**Question-5:**

70 students are stydying physics mathematics and chemistry. 40 students study mathematics, 35 study physics and 30 students students chemistry.15 students are studying all the subjects. How many students are studying exactly two of the subjects?

[Rupali Bank Cash(Cancelled)-2018]

Solution:

Total=All single-(exactly two groups overlap)-{2all three}+None

Or,70=40+35+30-(Exactly two groups overlap)-215+0

Or,70=75 -(Exactly two groups overlap)

Or, Exactly two groups=5

Answer:5

#Alternative:Written Base

Students that studying physics ‚

Set P=35

Students that studying chemistry , Set C = 30

Students that studying maths

Set M = 40

Students are studying all the subjects,PnCnM=15

Let,

PnC + CnM + PnM=x

Total = P + C + M – (PnC + CnM + PnM) + (PnCnM) + Neither

Or,70=35+30+40– x + 15 + 0

Or,x=120–70

Or, x=50

Hence,PnC + CnM + PnM=50

So,Exactly studying two of the subjects

=50-(15*3)=5

Answer:5

Question-6:if (x+1/x)=3, then the value of (x^6 + 1/x^6)=?

Answer:322

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