X, Y and Z are 3 distinct even integers ranging from 1 to 25. Which of the following is necessarily true?
1. XY/Z is an even integer.
2. 17XY3 is an even integer
3. 8 YX/Z is an even integer
4. 3Y(ZX) is an even integer
In a mathematical game, one hundred people are standing in a line and they are required to count off in fives as ' one, two, three, four, five, one , two, three, four, five' and so on from the first person in the line. The person who says ‘five’ is taken out of the line. Those remaining repeat this procedure until only 4 people remain in the line. What was the original position in the line of the last person to leave?
If is a number where a, b and c are prime numbers. How many of its factors are perfect squares?
Find the least value of * for which 4832*18 is divisible by 11.
The sum of first 20 odd counting numbers is:
The number of Even factors of a number is:
How many zeros are there in the product of N, if N is represented by ?
What will be the remainder when is divided by 54?
What is the highest power of in the expansion of ?
How many zeros are there at the end of the product ?
How many zeros will be there in the expansion of the expression ?
A number when divided by 5 leaves a remainder 3. What is the remainder when the square of this number is divided by 5?
. The Total number of factors of P is :
What is the highest power of that divides Completely?
is divisible by :
The last digit of the number 13 + 23 + 33 + 43 …. + 993 is :
The last digit of the number is:
The remainder when is divided by 3 is :
The number of zeros in the product 5 x 10 x 25 x 40 x 50 x 55 x 65 x 125 x 80 is :