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n a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 88,000, how many purple chips were selected?

 

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The product of two numbers is 7168 and their HCF is 16, then the possible pairs of such numbers are

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A gardener had a number of shrubs to plant in rows. At first, he tried to plant shrubs 6, then 8 and then 12 in a row, but had always 1 left. On trying 13, he had none left. Which of the following could be the number of shrubs that he had?

 

 

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How many terminating zeroes does 200! have?

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What is the greatest integer m for which the number 50!/10^m    is an integer?

 

 

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The number 75 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?

 

 

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If, n is a positive integer and the remainder when 5n is divided by 4 is 3.

Quantity A

Quantity B

The remainder when 10n is divided by 4

2

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Quantity A

Quantity B

The sum of all the factors of 220

The sum of all the factors of 285

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The integer n is greater than or equal to 40. When the integer n is divided by 28, the remainder is 12. 

Quantity A

Quantity B

The remainder when 2n is divided by 14

The remainder when 3n is divided by 14

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n is an odd positive integer, and 700 < n < 800

Quantity A

Quantity B

The number of the prime factors of n

The number of the prime factors of 2n

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