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Agrani Bank Written Questions Solution:
Post: Officer (Cash)
Exam date: 20 January 2018
Exam type: Written ( Writing Ability Test )
Math Solution: Detail Solution is ongoing……
8)
a) A novelist earned Tk. 100,000 from royalties on her book. She paid 20% income tax on the royalties. She invested Tk. 50,000 at one rate and the rest at a rate that was 1% lower, earning 6,100 taka annual interest on the two investments. What was the lower rate?
Solution:
Remaining amount after deducting tax=100000*(100-20)%=80000
let lower rate=x
Atq,
30000*x%+50000*(x+1)%=6100
or, 300x+500x+500=6100
or, 800x=5600
or, x=7%
Ans: 7%
b) A working couple earned a total of Tk. 43,520. The wife earned Tk. 640 per day, the husband earned Tk. 560 per day. If the total number of days worked by both was 72, formulate a system of equation and solve the system to find the number of days worked by each.
Solution:
let, wife work =x days
husband work=72-x days
ATQ,
640x+(72-x)560=43520
or, 640x+40320-560x=43520
or, 80x=3200
or, x=40
so wife works 40 days
husband works (72-40)=32 days
Ans: 40 and 32 Days
c) A man’s salary in 2015 was Tk. 20,000 per annum and it increased by 10% each year. Find how much he earned in the years 2015 to 2017 inclusive.
Solution:
2015=20000
2016=20000+20000*.10=22000
2017=22000+22000*.10=24200
sum= 66200
Ans: 66200
d) Prove that the sum of the odd numbers from 1 to 125 inclusive is equal to the sum of the odd numbers from 169 to 209 inclusive.
Solution:
Number of odd numbers between -1-125=63
1-3-5-7—+125
sum 63rd series =63/3{2*1+(n-1)*2}
solving =3969
number of odd series in between 169-209=21
169-171—209
sum of 21st series =n/2{2*169+(21-1)*2}
solving =3969
(proved)
e) proved-1 LHS=RHS (Proved)
f) Solution:
x/2+y/3=1—–(I)
x/3+y/2=1—–(ii)
multiply by 3 equation (I) and by 2 equation (ii) then (I)-(ii)
3x/2-2x/3=3-2
or, (9x-4x)/6=1
or, 5x=6
or, x=6/5
putting value in equation (I)
6/10+y/3=1
or, (18+10y)/30=1
or, 10y=12
or, y=6/5
so (x,y)=(6/5,6/5)
f) x=6/5 y=6/5
g) A hemisphere and a right circular cone on equal bases are of equal height. Find the ratio of their volumes.
Solution in image below:
See the Written ( Writing Ability Test ) question in the image below:
Agrani Bank Written Questions Solution:
Post: Senior Officer ( Auditor)
Exam date: 19 January 2018
Exam type: Written ( Writing Ability Test )
Math Solution: Full Solution is ongoing……
B.
(55+53+79)-(18+17+25)+10=x
=)x=197-60
=)x=137
d.
X^2+4^2=5^2
=)x^2=9
=)x=3
C)
1st cp=100×100/110=1000/11
2nd cp=100×100/90=1000/9
total cp of two=1000/11+1000/9=20000/99.
Sp=100+100=200
proft/loss=200-20000/99=19800-20000/99=-200/99
% of loss=200×99×100/99×20000=1%
E.
Ans: x(x+4)
See the Written ( Writing Ability Test ) question in the image below:
Agrani Bank Written Questions Solution: