Quiz-1

Let x be the score in the last inning to make the average of 100
Therefore, when average is 99, total score of 80 innings = 80 × 99 = 7920
And when the average is 100, total score of 80 innings = 80 × 100 = 8000
Therefore, x = 8000 – 7920 = 80

Monthly Salary = [(1694.70*7)+(1810.5*5)+3084.60] / 12 = 24000/12 = 2000/-

Average score of 36 boys = 40 points
Total score of 36 boys = 36 x 40 = 1440
Average score of 44 girls = 35 points
Total score of 44 girls = 35 x 44 = 1540

Total score of(36+44)80 Students = 1440 + 1540 = 2980 points
Average score of the whole class = (2980 / 80) = 37.25
Hence the required answer is 37.25 points.

From the question, we can say that the data given is inadequate because the number of adults or kids is not mentioned in the question.

Arithmetic mean= (5+10+12+18+20)/5= 65/5= 13

Average weight of 15 girls = 24 kg
Total weight of 15 girls = 24 x 15 = 360 kg

Average after including a new girl = 24 + 2 = 26 kg
Total weight of 16 girls = 26 x 16 = 416 kg
Weight of the new girl = Total weight of 16 girls - Total weight of 15 girls = 416 - 360 = 56 kg
Hence the required answer is 56 kg.

Average age of five members is 27
Total age = 27 x 5 = 135
After excluding one person, the new average = 27 - 2 = 25
New total age = 25 x 4 = 100
Then the age of excluded person = Total age - New total age
= 135 - 100
= 35.
Hence the required answer is 35.

Given that a is the least of 5 consecutive numbers.
Then a, a+1, a+2, a+3 and a+4 are that consecutive numbers.
The average of that numbers = (a + a+1 + a+2 + a+3 + a+4) / 5
= (5a + 10) / 5
= 5(a + 2) / 5
= a+2

Hence, the required answer is a+2.

Answer : Option B.
% of students failed in Mathematics only = 43% – 17% = 26%
% of students failed in English only = 52% – 17% = 35%.
So % of students passed in both = 100 – (26 + 35 + 17)
= 100 – 78 = 22%
Alternate Solution:
% of students failed in Mathematics or English or both = 52% + 43% – 17% = 78%
So % of students passed in both = 100% – 78% = 22%. Hence, option B is correct.