averages Model Questions & Answers, Practice Test for ssc mts paper 1
The average monthly expenditure of Ravi was Rs. 1100 during the first 3 months, Rs. 2200 during the next 4 months and Rs. 4620 during the subsequent five months of the year. If the total saving during the year was Rs. 2100, find Ravi's average monthly income.
Answer: (b)
Required average income
= (Total expenditure + total savings]/12
= [(1100 × 3 + 2200 × 4 + 4620 × 5) + 2100]/12
= 37300/12 = 3108.333
In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and the average came down to 45 marks. The total number of candidates who took the exam were
Answer: (a)
Let the total number of candidates = x
∴ ${50x + 100(90 - 600)}/45$
∴ x = 600
In an Entrance Examination Ritu scored 56 percent marks, Smita scored 92 percent marks & Rina scored 634 marks. The maximum marks of the examination are 875. What are the average marks scored by all the three girls together?
Answer: (d)
Marks scored by Smita
= 875 × 92% = 805
Marks scored by Ritu
= 875 × 56% = 490
Avg. Marks
= ${805 + 490 + 634}/3$ = 643
The sum of five numbers is 290. The average of the first two numbers is 48.5 and the average of last two numbers is 53.5. What is the third number?
Answer: (e)
Third number
= 290 – (48.5 × 2) – (53.5 × 2)
= 290 – 97 – 107 = 86
Average weight of three boys P, T and R is 54$1/3$ kgs while the average weight of three boys, E, F and G is 53 kgs. What is the average weight of P, T, R, E, F and G?
Answer: (e)
Total wt. of P, T & R = $54{1}/3 × 3 = 163/3 × 3 = 163$
Total wt. of E, F & G = 53 × 3 = 159
Total wt. = 163 + 159 = 322
Average wt. = $322/6 = 53.67$
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