No verified paper has been uploaded for AJKPSC-PMS Mathematics Set-10 yet.
The MCQs below are drawn from the Mathematics subject category.
Showing 7581–7590
of 8364 MCQs
Page 759 / 837
7581
A team of 8 persons joins in a shooting competition. The best marksman scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The total points the team scored was:
If the average with the higher score (92) was 84, the hypothetical total score would be 8 * 84 = 672. But the best marksman scored 85 instead of 92, a difference of 7 points less. So the actual total score was 672 - 7 = 665.
The sequence is 2, 4, 6, ..., 100. This is an arithmetic progression. The average of an AP is (first term + last term) / 2. Average = (2 + 100) / 2 = 102 / 2 = 51.
7584
The average of 5 positive integers is 40. The highest integer could be at most:
Total sum = 5 * 40 = 200. To maximize one integer, the other four must be as small as possible. The smallest positive integer is 1. If four integers are 1, their sum is 4. The highest possible integer = 200 - 4 = 196.
7585
Average of 10 matches is 32. How many runs should be scored in the 11th match to increase the average by 4 runs?
Current total = 10 * 32 = 320. The new average needs to be 32 + 4 = 36. Total for 11 matches = 11 * 36 = 396. Runs required in 11th match = 396 - 320 = 76.
7586
The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is:
Difference between correct and incorrect observation = 48 - 23 = +25. This 25 needs to be added to the total sum. The increase in the mean is 25 / 50 = 0.5. The new corrected mean is 36 + 0.5 = 36.5.
7587
In a boat there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man. What is the weight of the newcomer?
The total weight increases by 8 * 1 kg = 8 kg. This means the new man is 8 kg heavier than the man he replaced. Weight of new man = 60 + 8 = 68 kg.
7588
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
P + Q = 2 * 5050 = 10100. Q + R = 2 * 6250 = 12500. P + R = 2 * 5200 = 10400. Adding all three equations: 2(P + Q + R) = 33000, so P + Q + R = 16500. Income of P = (P + Q + R) - (Q + R) = 16500 - 12500 = Rs. 4000.
7589
The average age of a committee of 8 members is 40 years. A member aged 55 years retires and a new member aged 39 years takes his place. What is the new average age of the committee?
Total age originally = 8 * 40 = 320 years. Age drops by the difference between the retiring and new member: 55 - 39 = 16 years. New total age = 320 - 16 = 304. New average = 304 / 8 = 38 years.
7590
Out of 9 persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was:
Let the average expenditure of all 9 persons be 'x'. Total expenditure = 9x. The 8 persons spent 8 * 30 = 240. The 9th person spent x + 20. So, 240 + x + 20 = 9x. 260 = 8x, x = 32.5. Total money spent = 9x = 9 * 32.5 = Rs. 292.50.
