Problem Solving MCQ Set 21

Question: For what value of 'n' will the remainder of 351n and 352n be the same when divided by 7?

1. 2
2. 3
3. 6
4. 4

Question: A person starts multiplying consecutive positive integers from 20. How many numbers should he multiply before the will have result that will end with 3 zeroes?

1. 11
2. 10
3. 6
4. 5

Question: What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm?

1. 176
2. 187
3. 54043
4. 748

Question: What number should be subtracted from x³ + 4x² - 7x + 12 if it is to be perfectly divisible by x + 3?

1. 42
2. 39
3. 13
4. None of these

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 cannot be true?

1. (x-z)²y is even
2. (x-z)y² is odd
3. (x-z)y is odd
4. (x-y)²z is even

Question: Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?

1. 1050
2. 540
3. 1440
4. 1590