The average marks of \(6\) students in a test is \(64\). All the students got different marks, one of the students obtained \(70\) marks and all other students scored \(40\) or more. The maximum…
Question and options
The average marks of students in a test is . All the students got different marks, one of the students obtained marks and all other students scored or more. The maximum possible difference between the second highest and the second lowest marks is
- 50
- 54
- 57
- 58
Answer and explanation
Correct answer: B - 54
Total 384. Make the two lowest 40 and 41 (second lowest 41). Remaining four sum 303 and include 70; with sorted a < b < c < d, take a=42, b=70, then c+d=191 with c < d gives c=95, d=96. Difference 95-41=54 (placing 70 elsewhere gives less).
Practice for these exams
-
IPMAT Indore
Related question papers
Related exam syllabi
More solved explanations in Arithmetic
- On simple interest a certain sum amounts to ₹ 14061 in 6 years and to ₹ 16023 in 8 years on the same rate of interest. The rate of interest per annum is :
- The traffic lights at three different signal points change after every 45 seconds, 75 seconds and 90 seconds respectively. If all change simultaneously at 7:20:15…
- How much time does Mr. Surya take to cover a distance of 500 m if he runs at a speed of 25 km/hr?
- Kumar travel from Place A to Place B at the rate of 105 kmph and return from place B to place A at the rate of 120 kmph. What is his average speed for the whole…
- Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?