In a sequence of consecutive integers, the sum of the first 7 integers is 70. What is the sum of the next 7 consecutive integers?
Answer and explanation
Correct answer: A. 119
- Step 1: Each integer in the second group of 7 is exactly 7 greater than the corresponding integer in the first group.
- Step 2: Therefore, the sum of the second group exceeds the sum of the first group by 7 * 7 = 49.
- Step 3: Sum of next 7 integers = 70 + 49 = 119.
- Step 4: Alternatively, first group middle is 70/7 = 10 (integers 7 to 13). Next 7 are 14 to 20, whose sum is 7 * 17 = 119.
Answer
119.
Why not the others: 112 adds 6 7; 105 adds 5 7; 126 adds 8 * 7.
Practise more Algebra, Number Properties and Arithmetic Problem Solving.
Free questions with an explanation for every one, and full timed Psychometric Entrance Test (PET Israel) mock tests.
More Algebra, Number Properties and Arithmetic Problem Solving questions
- If n is a positive integer such that 72*n is a perfect cube, what is the smallest possible value of n?
- The average of five distinct positive integers is 24. If the median of these five numbers is 20, what is the maximum possible value of the l…
- Pipe A fills a reservoir in 6 hours, and Pipe B fills it in 8 hours. Pipe C drains the full reservoir in 12 hours. If all three pipes are op…
- In a town, 60% of residents own a bicycle and 40% own a car. If 20% of residents own neither, what percentage of residents own both a bicycl…
- A worker's salary was increased by 20%, and one year later reduced by 20%. How does the final salary compare to the original salary?
- What is the remainder when 3^100 is divided by 7?