Bank PO Questions

Let A, B, C be the respective events of solving the problem and $\overline{A }, \overline{B}, \overline{C}$ be the respective events of not solving the problem. Then A, B, C are independent event

$\therefore \overline{A}, \overline{B}, \overline{C}$ are independent events

Now,  P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4

 $P\left(\overline{A}\right)=\frac{1}{2}, P\left(\overline{B}\right)=\frac{2}{3}, P\left(\overline{C}\right)= \frac{3}{4}$

$\therefore$ P( none  solves the problem) = P(not A) and (not B) and (not C)  

                  = $P\left(\overline{A}\cap \overline{B}\cap \overline{C}\right)$ 

                  = $P\left(\overline{A}\right)P\left(\overline{B}\right)P\left(\overline{C}\right)$         $\left[\because \overline{A}, \overline{B}, \overline{C} are Independent\right]$                       

                  =  $\frac{1}{2}\times \frac{2}{3}\times \frac{3}{4}$  

                  = $\frac{1}{4}$  

Hence, P(the problem will be solved) = 1 - P(none solves the problem) 

                = $1-\frac{1}{4}$= 3/4

A's 5 days work = 50%  

B's 5 days work = 33.33% 

C's 2 days work = 16.66%     [100- (50+33.33)] 

Ratio of contribution of work of A, B and C = $50 : 33\frac{1}{3} : 16\frac{2}{3}$ = 3 : 2 : 1   

A's total share = Rs. 1500 

B's total share = Rs. 1000 

C's total share = Rs. 500  

A's one day's earning = Rs.300  

B's one day's earning = Rs.200  

C's one day's earning = Rs.250

Microsoft Word or MS-Word is an Application software developed by the company Microsoft. It allows users to Type and Save documents.

16th July, 1776 = (1775 years + Period from 1st Jan, 1776 to 16th July, 1776)

Counting of odd days :

1600 years have 0 odd day.

100 years have 5 odd days.

75 years = (18 leap years + 57 ordinary years) =  [(18 x 2) + (57 x 1)] = 93 (13 weeks + 2 days) = 2 odd days

1775 years have (0 + 5 + 2) odd days = 7 odd days = 0 odd day. 

Jan   Feb   Mar   Apr   May   Jun   Jul  

31 + 29 + 31 + 30 + 31 + 30 + 16 = 198 days= (28 weeks + 2 days) 

Total number of odd days = (0 + 2) = 2.  

Required day was 'Tuesday'.