find the remainder of 5^2p divided by 13, given that p=(1!)^2 + (2!)^2 +.......(10!)^2
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s is the set of all natural numbers having 24 factors and 3 prime factors.find the digital sum of the smallest element in s?
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how many natural numbers are there with 24 factors where 2,3,5 are the only prime numbers?
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What is the unit digit of (2^ 10)3 in base 3?
3 is the base of the number 2^10 in this case. I wanted to know if it is a known rule that in such questions we can swap the power and base.. Like (2^ 10) in base 3 = (2 ^3) in base 10.
Any pointers would be of help. Thanks in advance.. 😃
If the difference between the roots of x^2-px+12 is atleast 12,what is the range of values p can take?
Sorry to post here but since this is the most active thread i just want to ask this
any idea how is CL smart VRC cracker ? is it worth buying ?
There are 5 lines in a plane.What is the difference between maximum and minimum number of intersecting points.Given that no two lines are parallel.
What would be the sum of all four digit numbers formed using the digits 0,1,2 and 3.None of the digits should be repeated.
a small doubt sum of two sides of a triangle is greater than third or greater than equal to third?
In PM 16, in the solution of x> sqrt(x+6), Should'nt x > -6
What is the unit digit of (2^10)(to base 3) in base 3?
Is there any formula for length of a diagonal in a regular polygon??
Two cyclists are traveling at 3 km/hr and 10 km/hr around a circular track. What should be the ratio of number of distinct points that they would meet on that track if they first travel 10 rounds in same direction and then 10 rounds in opposite direction?
A)7:13
B)3:10
C) 3:7
D)30:3
Kindly share the approach too
http://i.imgur.com/2cyuG2u.png
In the above figure, DCB = 120°, CD = x cm and CB = y cm. Find the minimum value of the diameter AD in terms of x + y.
Let x be the arithmetic mean and y,z be two geometric means between two positive numbers. What's the value of (x3+y3)/xyz ?
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A train met with an accident 60km away from Sion station. It completed the remaining journey at 5/6th of the previous speed and reached Kurla 1 hour 12min late. Had the accident taken place 60min further, it would have been only 1 hour late. 1. What is the Normal speed of the train. 2. What is the distance between Sion and Kurla.
A string of certain length is cut at random at two pieces. Find the probability that these 3 pieces forms side of a triangle.