If Ramesh has 3 type of chocolates in a ratio 3 : 4 : 5 such that their LCM is 480, then find the difference between the highest and lowest number of chocolate that he has?

A vendor has 3 kinds of shakes i.e. chocolate, strawberry and banana. He has 204 litres of chocolate shake, 170 litres of strawberry shake and 374 litres of banana shake. He wants to bottle them in bottles of equal sizes – such that each of the variety is bottled completely. How many options for the size of bottle does the vendor have?

The largest 5 digit number exactly divisible by 93 would be:

Find the last digit of the product 723 × 813.

A man has a certain number of chocolates. If the number of chocolates with him is divided by 247, the remaining chocolates with him will be 37. If the same number of chocolates is divided by 19, how many chocolates will be left with him?

Punit, Netra and Nishka start running around a circular track and complete one round in 18, 20 and 15 seconds respectively. In how many seconds will the three meet again at the starting point if they all have started running at the same time?

How many \({1 \over 9}\) are there in \(33{1 \over 3}\)?

If the number 97215k6 is completely divisible by 11, then the smallest whole number in place of ‘K’ would be:

Consider the following pairs: a. 5 and 105 b. 15 and 105 c. 15 and 35 Which of the above pairs have H.C.F. as 5 and L.C.M. as 105?

The sum of five consecutive even numbers of set-A is 400. What is the sum of another set-B of four consecutive numbers whose lowest number is 5 less than three-fourth’ s the lowest number of set-A?

Find the least value of ‘m’ if the number 24m3765n4 is divisible by 44.

Find the least number which when divided separately by 16, 24, 36 and 48 leaves 3 as remainder in each case?

If x, y and z are three positive integers, such that all the three expressions x + 3y + z, 5x + 2y + z and x + 6y + 2z are odd. Which of the following expression is an even number?

What is the least number which when divided by 52 leaves a remainder of 33, when divided by 78 leaves a remainder of 59 and when divided by 117 leaves a remainder of 98?

It was given in an examination that, if the first odd number is 1, the second odd number is 3, the third odd number is 5 and so on. Then what will be the 2000th odd number is

From a point on a circular tract 5 km long Arjun, Bhisma and Nakul started running in the same direction at the same time with speeds of \(2\frac{1}{2}\) km per h, 3 km per h and 2 km per h respectively. Then on the starting point all three will meet again after

A real number is said to be algebraic if it satisfies a polynomial equation with integral coefficients. Which of the following numbers is not algebraic?

The sum of two numbers is 192 and their HCF is 32. Find how many such pairs can be formed.

Let x be the smallest number which when subtracted from 9000 makes the resulting number divisible by 15, 18, 27 and 32. The sum of the digits of x is :

If n=4p, where p is a prime number greater than 2, how many different positive even divisors does n have including n?

The product of the two prime numbers is 493. What will the L.C.M of these two numbers?

How many factors of 8820 are perfect squares?

Find the least number which when divided by 48, 60, 72, 108, and 110, leaves the remainders 38, 50, 62, 98, and 100, respectively.

If x is a prime such that (x2 + 7) is also a prime, then x can have

Find out the sum of digits of largest number that leaves same remainder when it divides 15009, 8009, 6509 and 13009.

Find the remainder when 123321 is divided by 5.

What is the least multiple of 5, which when divided by 7, 8 and 12 leaves remainder 5, 6 and 10 respectively?

What is the smallest number which leaves 9 remainder when divided by 12, 18 and 21 but leaves no remainder when it is divisible by 15?

Two numbers have equal LCM and HCF, then they must be?

Consider 3 consecutive prime integers. Twice the first integer is 5 more than the third integer and second is 4 less than the third integer. Sum of the integers is 41. Find the smallest integer among the three.