The average of 7 distinct natural numbers is 26. The average of the least two numbers is 16. The average of the largest two numbers is 36. Sum of smallest and largest is 52. Sum of the squares of the middle three numbers is 2084. If all the 7 numbers are even and written in increasing order, what is the 3rd number counted from the largest number?
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Quantitative aptitude: numbers, averages, ratio, profit and loss7 questions
Asked in 1 of 2 sittings since 2016
2016
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2024
7
Most tested: Ratio-based mixture and profit-loss algebra under time pressure.
- 2024A person P bought vegetables and fruits whose cost prices per kg are in the ratio 1 : 3. P sold 50 kg of vegetables and 25 kg of fruits to another person Q thereby getting a profit of 20% on vegetables and 40% on fruits. Q observed that 20 kg of vegetables and 10 kg of fruits are rotten. He discarded those rotten items and sold the remaining entire lot of vegetables and fruits at a rate of Rs. 440 per kg and thereby he got a profit of 33 1/3 %. What is the cost price per kg of fruits for P?
- 2024A four digit number LMNP is such that its digits follow M + N = P, L + M + 1 = P, and 3(1 + N) = P. Find the sum of the two numbers LMNP and PNML.
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