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## Bangladesh Bank AD Exam Question Solution 2018

Are you searching for Bangladesh Bank AD Exam Question Solution 2018? If you yes now you are right Place. There are total 80 Question with 100 Marks. Exam Duration was only 01 Hour.

Exam Taker: Arts Faculty, DU

Written Exam Date: 27 July 2018

Written Exam Time: 10.00 AM to 12.00 PM

### Written Math Solution:

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7.

**A: **

**Ans:**

**B.**

**Ans: 10 days**

**C.**

**Ans: 3/8, 3/8, 3/8**

**8.**

**A.**

A senior citizen invest Tk. 50 lac in a fixed deposit scheme at 11.5 % annual interest for six months. In every six months he withdraws Tk. 2 Lac from his principal plus interest earned. What will be his principal amount to invest after two years?

**Ans: 42 Lac (Approx)
**

**B.**

After traveling 108 km, a cyclist observed that he would have required 3 hrs less if he could have traveled at a speed 3 km/hr more. At what speed did he travel?

S*T = 108

Again, (S+3)(T-3) = 108

=> ST – 3S + 3T – 9 = ST

=> 3T – 3S = 9

=> T – S = 3

=> T = S+3

Now, S*(S+3) = 108

=> S² + 3S – 108 = 0

=> S² + 12S – 9S – 108 = 0

=> S(S+12) – 9(S+12) = 0

=> (S+12)(S-9) = 0

S = 9 (Ans.)

**SHORTCUT:**

108 = 9*12 = 12*9

D = S*T

So, S = 9 and T = 12

**Ans: 9**

**C. **Three numbers are in A.P. and their sum is 30. Also, the sum of their squares is 308. Find the numbers.

**Solution: **

Let,

Second Term = a

Common deference = d

So, first term will be = a – d

Third term will be = a + d

A.T.Q.,

a- d + a + a+d = 30

or, 3a = 30

so, a = 10

So, first term = 10 – d

Second term = 10

Third term = 10 + d

Again A.T.Q.,

(10 – d)2 + (10)2 + (10+d)2 = 308

Or, 100 – 20d + d2 + 100 + 100 + 20d + d2 = 308

Or, 2d2 + 300 = 308

Or, 2d2 = 8

Or, d2 = 4

So, d = 2

So first term = 8, second term = 10 , third term = 12

**Ans: 8,10,12**

**OR,**

Let the Three numbers: a,a+x,a+2x

Atq, 3a+3x=30

A+X=10

X=10-A

And,

A.A+10.10+(20-A)(20-A)=308

500+2A.A-40A-308=0

A.A -20A+192=0

A=8,12

A=8

8,10,12

**Ans: 8,10,12
**

**D.**

A square is inscribed inside a circle. What is the area of the square, if the radius of the circle is 10 cm?

Here,

Radius of circle = 10 cm

So, Diameter of circle = 10*2 = 20 cm

Then, Diagonal of square = 20 cm

Therefore, Area of square = d^2/2 = 20^2/2 = 400/2 = 200 cm^2

**Ans: 200 CM2**

Exam Type: Written

Post: Assistant Director (AD)

Total Candidate: 9837

MCQ Exam date Was: 6 July 2018