Aptitude and Reasoning Questions

Given year 1856, when divided by 4 leaves a remainder of 0.

NOTE: When remainder is 0, 28 is added to the given year to get the result.

So, 1856 + 28 = 1884

Assuming Sripad has scored the least marks in subject other than science,
Then the marks he could secure in other two are 58 each.
Since the average mark of all the 3 subject is 65.
i.e (58+58+x)/3 = 65
116 + x = 195
x = 79 marks.

Therefore, the maximum marks he can score in maths is 79.

Let C's salary be Rs. x

Then B's salary = 80x/100

=> A's salary = (50/100) * (80x/100) = 40x/100

But given total earnings in a month = 22000

=> x + 80x/100 + 40x/100 = 22000

=> x + 120x/100 = 22000

=> x = 10000

=> A's salary = 40 x 10000/100 = Rs. 4000 

Let A be the event of A will tell truth. B be the event of B tell truth

 P(A)=23,P(Ac)=1-P(A)=13

P(B)=45,P(Bc)=1-P(B)=15 

When both agree then they say true or they say false together, that is 

 A∩B or Ac∩Bc

Also these events will be mutually exclusive :

 P(A∩B)+P(Ac∩Bc)=P(A)P(B)P(C)=23*45+13*15=35

From positions X and Y we conclude that 1, 5, 6 and 3 lie adjacent to 4. Therefore, 2 must lie opposite 4. From positions Y and Z we conclude that 4, 3, 2 and 5 lie adjacent to 6. Therefore, 1 must lie opposite 6. Thus, 2 lies opposite 4, 1 lies opposite 6 and consequently 5 lies opposite 3.

As analysed above, 1 lies opposite 6.

NOTE: For an century year,it is divided by 400,when leaves a remainder 0 then it is a leap year.

So, 1600