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Q #31
:

Directions: Read the following information to answer the question.

How many zeros are there at the end of the value of 100!?

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100/5 = 20 20/5 = 4 Highest power of 5 in /_100 is 24. Hence there are a total of 24 zeroes in 100!

Q #32
:

Directions: Read the following information to answer the question.

N = 1365 x 289 x 2261. What is the remainder when N is divided by 19?

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N = 1365 x 289 x 2261, the remainder when N is divided by 19 = remainder of the product of the remainder of 1365, 289 and 2261. But since 2261 is divisible by 19, remainder = 0

Q #33
:

Directions: Read the following information to answer the question.

Three times the first of three consecutive odd integers is 3 more than twice the third. What is the third integer ?

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If the three odd numbers are a - 2, a and a + 2, then 3(a - 2) = 3 + 2(a + 2) so a + 2 = 15.

Q #34
:

Directions: Read the following information to answer the question.

Let x, y and z be distinct integers, x and y are odd and positive, and z is even and positive. Which one of the following statements can is true?

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(x – z) = odd – even = odd; y = odd. Odd × odd will always give odd, hence the first statement is wrong.


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