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**Bangladesh Bank AD Written Question Solution 2018**

Exam Type: Written

Post: Assistant Director (AD)

Total Candidate: **9837**

MCQ Exam date Was: 6 July 2018

Exam Taker: Arts Faculty, DU

Written Exam Date: 27 July 2018

Written Exam Time: 10.00 AM to 12.00 PM

**See Bangladesh Bank AD Written Question Solution 2018**

**Written Math Solution:**

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

#BB_AD_MATH_SOLUTION

29. C-50

30. D-10

31.B-12

32.B-270

33.C-3/4

34.D-64.10

35.C-11

36.A-1

37.D-(x^2-1)/2x

38.D-9

39.B-89

40.D-(-1/5)

41.B-3

42.D-(x>=-1)

43.A-60

44.B-(a-b)<c

45.C-39

46.B-143

50.C-27/91

52.D-23

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**Bangladesh Bank AD Written Question Solution 2018**

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