Quantitative Aptitude - Arithmetic Ability Questions

Angle traced by hour hand in 17/2 hrs = 36012×172o = 255 

Angle traced by min hand in 30 min = 36060×30o = 180 

Therefore,  Required angle = (255 - 180) = 75o

NOTE :

Repetition of leap year ===> Add +28 to the Given Year.

Repetition of non leap year

Step 1 : Add +11 to the Given Year. If Result is a leap year, Go to step 2.

Step 2:  Add +6 to the Given Year.

Solution : 

Given Year is 1897, Which is a non leap year.

Step 1 : Add +11 to the given year (i.e 1897 + 11) = 1908, Which is a leap year. 

Step 2 : Add +6 to the given year (i.e 1897 + 6) = 1903

Therfore, The calendar of the year 1897 can be used again in the year 1903

16x + 85 = 17(x + 3)

x = 34 + 3 = 37

Difference in C.I and S.I for 2 years

= Rs(696.30-660)

=Rs. 36.30.

S.I for one years = Rs330.

S.I on Rs.330 for 1 year =Rs. 36.30 

Rate

= (100x36.30/330x1)%

= 11%