Number System T...

LCM of first 100 natural numbers is N. What is the LCM of first 105 natural numbers?

The total number of 3 digit numbers which have two or more consecutive digits identical is:

Find the last non zero digit of 96!

Two players A and B are playing a game of putting ‘+’ and signs in between any two integers written from 1 to 100. A starts the game by putting a plus sign anywhere between any two integers. Once all the signs have been put, the result is calculated. If it is even then A wins and if it is odd then B wins, provided they are putting signs by taking turns one by one and either of them can put any sign anywhere between any two integers. Who will win at the end?

How many divisors of 10⁵ will have at least one zero at its end?

Find the remainder when 4⁹⁶ is divided by 6.

Tatto bought a notebook containing 96 pages leaves and numbered them which came to 192 pages. Tappo tore out the latter 25 leaves of the notebook and added the 50 numbers she found on those pages. Which of the following is not true?

There are 50 integers a1, a2 … a50, not all of them necessarily different. Let the greatest integer of these 50 integers be referred to as G, and the smallest integer be referred to as L. The integers a1 through a24 form sequence S1, and the rest form sequence S2. Each member of S1 is less than or equal to each member of S2.

Q. Elements of S1 are in ascending order and those of S2 are in descending order. a₂₄ and a₂₅ are interchanged then which of the following is true?

Srini wrote his class 10th board examination this year. When the result came out he searched for his hall ticket to see his roll number but could not trace it. He could remember only the first three digits of the 6 digit number as 267. His father, however, remembered that the number was divisible by 11. His mother gave the information that the number was also divisible by 13. They tried to recollect the number when all of a sudden Srini told that the number was a multiple of 7. What was the unit digits of the number?

When 7179 and 9699 are divided by another natural number N , remainder obtained is same. How many values of N will be ending with one or more than one zeroes?

Twenty-five boxes of sweets are delivered to Mr Roy’s home. Mr Roy had ordered sweets of three different types. What is the minimum number of boxes of sweets which are having sweets of same type?

Find the remainder when 73 * 75 * 78 * 57 * 197 * 37 is divided by 34.

Three distinct prime numbers, less than 10 are taken and all the numbers that can be formed by arranging all the digits are taken. Now, difference between the largest and the smallest number formed is equal to 495. It is also given that sum of the digits is more than 13. What is the product of the numbers?

What will be remainder when 1212121212... 300 times, is being divided by 99?

Which of the following would always divide a six-digit number of the form ababab?

Find the unit digit: 
(76476756749)^8754874878

Find the unit digit:
17^19∧13

When a number is successively divided by 7,5 and 4, it leaves remainders of 4,2 and 3 respectively. What will be the respective remainders when the smallest such number is successively divided by 8,5 and 6 ?

In a school when certain number of chocolates were distributed equally among a group of 24 children, 7 chocolates got left. When the same number of chocolates got distributed among a group of 36, then 19 chocolates were remaining. If the number of chocolates is a 3-digit number. Find the largest number of chocolates that can possibly be.                              

What would be the greatest number that divides 14, 20, and 32 leaving the same remainder?