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Bank Name: Uttara Bank PLC
Post: Assistant Officer (Cash)
Written Exam date: 02/02/2018
Question-01:
Anik visited his cousin Rowhan during the summer vacation. In the mornings, they both would go for swimming. In the evenings, they would play tennis. They would engage in at most one activity per day, i.e. either they went swimming or played tennis each day. There were days when they took rest and stayed home all day long. There were 32 mornings when they did nothing, 18 evenings when they stayed at home, and a total of 28 days when they swam or played tennis. What duration of the summer vacation did Anik stay with Rowhan?
Solution:
Let
The duration of Anik’s vacation be n days.
Given that
On each day, he had engaged in exactly one of swimming and tennis,
Also given that he was free on 32 mornings and
On 18 evenings and on total 28 days he either went for swimming or tennis.
So,
He was busy on (n−32)mornings
And (n−18) evenings
Now we can write,
(n−32)+(n−18)=28
Or, 2n =28+32+18
Or, n=39
So,39 day’s summer vacation did Anik stay with Rowhan
Answer: 39 day’s
Question-02:
In a three digit number the number in unit place is 75% of tenth digit number, the tenth digit number is greater than hundred digit by 1 & their sum will be 15, find out the number?
Solution:
Let,
Tenth digit be=y
Unit’s digit= 75% of y=3y/4
Hundred’s digit=y-1
So,
The number be
=100(y-1)+10y+3y/4
=100y-100+10y+3y/4
=(443y-400)/4…………(i)
Now From the Question,
y-1+y=15
or,2y=16
or,y=8
Putting the value of y=8 in equation(i)
(443*8-400)/4
=(3544-400)/4
=(3144/4)
=786
Hence,the required number is 786
Answer:786
Solution-2:
Let,
Unit digit=x
Tenth=y
And,
Hundred=z
So,
Original number=100z+10y+x
From question condition,
x= 75% of y=3/4*y——-(i)
And,
y=z+1———(ii)
Again from question,
y+z=15
Or,2z+1=15
Or,z=7
From equation(ii)
y=8
From (i)
& x=3/4*8=6
So,
Required number=7*100+8*10+6
=786.
Ans:786