No verified paper has been uploaded for AJKPSC-PMS Mathematics Set-10 yet.
The MCQs below are drawn from the Mathematics subject category.
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7561
The average monthly expenditure of a family was Rs. 2200 during the first 3 months, Rs. 2250 during the next 4 months, and Rs. 3120 during the last 5 months. If the total savings during the year were Rs. 1260, the average monthly income was:
The value was misread as 83 instead of 53. The difference is 53 - 83 = -30. The total sum needs to be reduced by 30. The reduction in the average is 30 / 100 = 0.3. Correct average = 40 - 0.3 = 39.7.
7563
The average of 2, 7, 6, and x is 5. The average of 18, 1, 6, x, and y is 10. What is the value of y?
Let the average before the 17th match (i.e., for 16 matches) be x. Total runs = 16x. After 17 matches, the average is x + 3. (16x + 87) / 17 = x + 3. 16x + 87 = 17x + 51. So, x = 36. His average after 17 matches is x + 3 = 36 + 3 = 39.
7565
If the average of m numbers is n^2 and that of n numbers is m^2, then the average of (m+n) numbers is:
Total sum of the m numbers = m * n^2. Total sum of the n numbers = n * m^2. The sum of all (m+n) numbers = mn^2 + nm^2 = mn(n+m). The average is the total sum divided by the number of items: mn(n+m) / (m+n) = mn.
7566
Find the average of all prime numbers between 30 and 50.
Prime numbers between 30 and 50 are 31, 37, 41, 43, and 47. There are 5 such primes. Their sum is 31 + 37 + 41 + 43 + 47 = 199. Average = 199 / 5 = 39.8.
7567
A train covers the first 16 km at a speed of 20 km/hr, and another 20 km at 40 km/hr. Find the average speed for the whole journey.
Time for first part = Distance / Speed = 16 / 20 = 0.8 hours. Time for second part = 20 / 40 = 0.5 hours. Total distance = 16 + 20 = 36 km. Total time = 0.8 + 0.5 = 1.3 hours. Average speed = Total Distance / Total Time = 36 / 1.3 ≈ 27.69 km/hr, which rounds to 27.7.
7568
The average of three numbers is 40. The first number is twice the second and the second is 3 times the third. The largest number is:
Let the third number be x. Then the second is 3x, and the first is 2(3x) = 6x. The average is (6x + 3x + x) / 3 = 40. So 10x / 3 = 40, which means 10x = 120, x = 12. The largest number is the first one, which is 6x = 6 * 12 = 72.
7569
In a class of 40 students, 45% are girls and the remaining are boys. If the average of the girls' marks is 54 and that of the boys is 46, what is the average of the whole class?
Number of girls = 45% of 40 = 18. Number of boys = 40 - 18 = 22. Total marks of girls = 18 * 54 = 972. Total marks of boys = 22 * 46 = 1012. Total marks of the class = 972 + 1012 = 1984. Average = 1984 / 40 = 49.6.
7570
The average of 5 numbers is 7. If three new numbers are added, the new average becomes 8.5. The average of the three new numbers is:
Sum of the first 5 numbers = 5 * 7 = 35. Total numbers now = 5 + 3 = 8. Sum of all 8 numbers = 8 * 8.5 = 68. Sum of the 3 new numbers = 68 - 35 = 33. Average of these 3 new numbers = 33 / 3 = 11.
