Remainder when 7^99 is divided by 2400
A train leaves A for B at the speed of 40 km/h. At the same time, another train leaves B for A at the speed of 60 km/h. They reach these their respective destinations and turn back immediately toward the starting points. Now if they meet at a distance of 200 km from A, what is the distance between A and B?
250 km
230 km
150 km
200 km
None of these
What is the remainder of 3^1000/7
3
4
5
0
2^(p!) -1 is always divisible by prime numbers below 1000.... find the value of P ?? 😃
Highest power of 8 in 78!
40/3,15,120/7,20,24,_
150,392,810,1452,2366,_?
3731,2923,1917,1311,_?
150,392,810,1452,2366,_?
A corrupt rice vendor uses a weight of 1200 grams instead of 1 kg while buying rice, and uses a weight of 900 grams instead of 1 kg while selling it. He also adds 5 kg of white stones per 100 kg of rice to get more money. If he gives a discount of 10% to his customers on cost price then how much profit does he make?
1) 22 %
2) 24 %
3) 26 %
4) 28 %
5) 30 %
Three distinct prime numbers are chosen and their average is calculated. Which of these statements is definitely true about the average?
OPTIONS
1) It can never be odd.
2) It can never be even.
3) It can never be prime.
4) It can be even, if 2 is one of the chosen primes.
5) It is odd if 2 is not one of the chosen primes.
x(i) is the ith prime number, where 1 ≤ i ≤ 15. n(j) is defined as the number of whole numbers greater than x(i )and less than x(i + 1) where 1 ≤ j ≤ 14. When i = j, what is the modal value of n(j)?
OPTIONS
1) 1
2) 0
3) 3
4) 5
How to solve such ques :
There are 105 matchsticks on a table and a player can pick any number of matchsticks from 1 to 10. The person who picks the last matchstick loses the game. You are playing the game against Mr Bond and it is your turn first. How many matchsticks should you pick in the first turn such that you always win the game?
P is a 4 digit number such that sum of P and its four digits is 2010. How many different values P can take ?
a) 0
b) 1
c) 2
d) 3
e) More than 3
Three sides of the a triangle are a, b, c such that a ≤ 1, b ≤ 2 and c ≤ 3, then what will the largest possible area of the triangle ?
Several sets of prime numbers, such as {7, 83, 421, 659}, use each of the nine nonzero digits exactly once. What is the smallest possible sum such a set of primes could have?
a. 193
b. 225
c. 207
d. 252
e. 477
How many positive integral values of (x
a+b+c =1
a^2 +b^2 + c^2 = 9
a^3 +b^3 + c^3 =1
find the value of 1/a + 1/b + 1/c
What are the last two digits of 567876^1000006789
What is the value of (x-a) (x-b) (x-c)........................(x-z) ?