QUESTION OF THE DAY:

What is the highest power of 7 which will exactly divide 300! ?

QUESTION OF THE DAY:

If x^2 + y^2 – 2x + 6y + 10 = 0 find the value if x^2 + y^2.

(a) 10 
(b) –9
(c) 12
(d) None of these

QUESTION OF THE DAY:

Pointing to a gentleman, Deepak said, “His only brother is the father of my daughter’s father.”  How is the gentleman related to Deepak?

      (a)  Grandfather          (b)  Father                  (c)  Brother-in-law          (d)  Uncle                   (e)  None of these

QUESTION OF THE DAY:

Find the number of numbers which are less than 48 and co-prime to it . 

(a) 16 
(b) 12 
(c) 18
(d) 10
(e) 14

48 = 2^4 × 3^1
 
So, the number of co primes = 48* (1-1/2)* (1-1/3)
= 16.

QUESTION OF THE DAY:

At 8.00 am there are 8 persons waiting is a queue outside a ration shop. 4 persons join one minute later. The number of persons joining the queue per minute increases at a rate of two persons per minute. The shop opens at 8 : 20 am and distributes the ration which is available for 300 persons only. How many persons will have to return empty–handed if no person arrived after 8.20 am?

a) 198

b) 328

c) 468

d) 178

QUESTION OF THE DAY:

What is the number of prime factors of 368?

QUESTION OF THE DAY: (08/03/16)

What is the highest power of 3 which will exactly divide 80! ?

Answer & Explanation:

80/3= 26

26/3=8

8/3=2

The sum of combined powers of 3 = 26+8+2= 36

So the highest power of 3 which will exactly divide 80! Will be 36.