Exams

Let the original Speed be "s" kmph
And the usual time be "t" hrs
Given that if the bus is running at 9s/10 kmph the time is 22 hrs
=> [9s/10] x 22 = t x s
=> 99/5 = t
=> t = 19.8 hrs

Hence, if bus runs at its own speed, the time saved = 22 - 19.8 = 2.2 hrs.

As clear from the figure itself, triangle OQX and triangle O'PX are similar.

So,

OQ/O'P = OX/O'X

=> OX = (7/9)xO'X

And since, OX + O'X = 20

=> (7/9)xO'X + O'X = 20

=> O'X = 45/4

BJP-led NDA's presidential candidate Ram Nath Kovind registered an emphatic win over his rival and Opposition candidate Meira Kumar. Succeeding Pranab Mukherjee, Kovind sworn in as the 14th president of India on July 25, 2017.

Given total number of the cubicles = 8

Given that only 1/8 of the cubicle is painted

Then of the total 8 cubicles, 1/8 is

1/8 x 1 = 1 cubicle. 

Difference in amount = 514 - 415 = 99

99 = (415 x 4 x R)/100

R = 5.96%

Manju borrows Rs. 5000 for 2 years at 4% p.a. simple interest 

She also lends it at 6 1⁄4% p.a for 2 years 

=> Total Gain = 6 1/4% − 4% = 2 1/4%

So her gain in the transaction for 1 year

= The simple interest she gets for Rs.5000 for 1 year at 2 1⁄4% per annum

= PTR100=5000×94×1100 = Rs. 112.5/ year.

Mathematics is the theory of numbers and history is the theory of past events.

Hence Mathematics : Numbers :: History : Events.