### Maths Questions For 27 May 2015

1. What is the sum of all 3 digit numbers that leave a remainder of ‘2’ when divided by 3?

• 897
• 164,850
• 164,749
• 149,700
• 156,720

2. The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 9 consecutive integers that start with (m + 2)?

1. m + 4
2. n + 6
3. m + 5
4. n + 4

3. Set A contains all the even numbers between 2 and 50. Set B contains all the even numbers between 102 and 150. What is the difference between the sum of elements of set B and the sum of the elements of set A?

1. 2500
2. 5050
3. 11325
4. 6275
5. 2550

4. In the first 1000 natural numbers, how many integers exist such that they leave a remainder 4 when divided by 7, and a remainder 9 when divided by 11?

1. 11
2. 14
3. 12
4. 13
5. 10

5. If the ratio of the sum of the first 6 terms of a G.P. to the sum of the first 3 terms of the G.P. is 9, what is the common ratio of the G.P?

1. 3
2. 1/3
3. 2
4. 9
5. 1/9

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