solve for x: 10^x - 10^-x = 10
50^51^52 DIVIDED BY 11.WHAT WILL BE THE REMAINDER.
PLEASE PROVIDE SOLUTION USING FERMAT'S THEOREM.
EVERY TIME I M GETTING ANS 3 WHEREAS ANS IS 6.
If the vertices of a triangle are (9,9),(10,10),(6,7) find the coordinates of its or the center.
A)(9,9) B)(6,7) c(4,5) d(25/3,17/3)
P & Q are different single digit whole numbers in such a way that Y = P x Q and Y = P! x Q!. How many ordered pairs of the form of (P, Q) are possible ?
If J is a number such that J = K^2 and J = L^3, then how many values of J are there such that it is less than 10000 (its given J, K & L all are natural numbers).
What is the highest power of 3 in 58 ! - 38! ?
In how many ways 264 can be written as the sum of consecutive natural numbers? Find the numbers too.
N is 8 digit no. and s(N) denotes sum of its digit. If N + s(N) = 100000000, then what is digit at tens place.
A solid metal sphere is melted and smaller spheres of equal radii are formed. 10% of the volume of the sphere is lost in the process. The smaller spheres have a radius which is 1/9th the larger sphere. If 10 litres of paint were needed to paint the larger sphere, how many litres are needed to paint all the smaller spheres?
Remainder when 84^79 is divided by 100..? Approach please.
- 64
- 24
- 44
- 84
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A 12 digit no is divisible by 72 consist of only 4's and 6's. Find the no of 6's in the largest possible such manner.
Please also tell the approach for this question.
N^2 has 7 factors less than N. Find total no of factors of N ^3
Chinese remainder theorem
1. Karthik has chocolates in his Bag. If he divides them into 5 equal groups, 4 are left over. If he divides them into 8 equal groups, 6 are left over. If he divides them into 9 equal groups, 8 are left over. What is the smallest number of chocolates that Karthik could have?
http://quantfun.blogspot.in/2014/07/chinese-remainder-theorem-crt.html
How many factors of 10^12 are integral multiple of 10^7.
Guyz also tell me ur approach thankz in advance
The average age of a class of 45 pupils was 15 years 4 months on the 1st June. If one boy whose age was 16 years 2 months on 1st October left the school in October, what would be the average age of the class on the following 1st February ?
N=29!
Find the first non zero digit from hand side of N
N=10!+11!+12!+-----------+700!
Find total no of 2
Brendan and Shawn were out for a bike ride when the tire fell off Brendan's bike. They were 20 km from home. They decide that Brendan will walk for a while and Shawn will take the bike, leaving it further along and walking the rest of the way. When Brendan reaches the bike, he will bike home. Brendan walks at 5 km/h and rides at 12 km/h. Shawn walks at 4 km/h and rides at 10 km/h. How far should Shawn ride the bike for both to arrive home at the same time?
1. 9 km 2. 6 km 3. 10 km 4. 12.5 km
The bacterium Paramecium divides in half on the average every 27 hours. If all newly born infusoria remained alive, how long will it take for the progeny of one paramecium to fill up the volume equal to that of the sun? Given that the 40th generation of one paramecium, when none perish, occupies one cubic meter. The volume of the Sun is 1027 cubic meter.
Two liquids are mixed in the ratio of 5 : 7 and sold at a profit of 25% at Rs.10 a liter. If the first liquid costs Rs. 3 more than the second one, what was the cost price of both the liquids?