Top 1,000+ Aptitude Averages Online Test - 2
Question: 6
The average of 10 numbers is 40.2 . Later it is found that two numbers have been wrongly added. The first is 18 greater than the actual number and the second number added is 13 instead of 33. Find the correct average.
(A) 40.1
(B) 40.2
(C) 40.3
(D) 40.4
Ans: D
Correct sum = (40.2 × 10 – 18 + 33 – 13) = 404.
∴ Correct average = $${404} / {10}$$ = 40.4.
Question: 7
The mean high temperature of the first four days of a week is 25°C whereas the mean of the last four days is 25.5°C. If the mean of the whole week is 25.2°C, then the temperature of the 4th day is
(A) 25.2°C
(B) 25.4°C
(C) 25.5°C
(D) 25.6°C
Ans: D
Average temperature of first four days = 25°C
Total temperature of first four days = 25° × 4 = 100°C
Average temperature last four days = 25.5°
Total temperature of four days = 25.5° × 4 = 102°C
Total temperature of whole week = 25.2 × 7 = 176.4°C.
∴ Temperature of the 4th day = 100° + 102° - 176.4° = 25.6°C
Question: 8
13 chairs and 5 tables were bought for Rs. 8280. If the average cost of a table be Rs. 1227, what is the average cost of a chair?
(A) Rs. 125
(B) Rs. 135
(C) Rs. 155
(D) Rs. 165
Ans: D
Total cost of 5 tables = Rs. (1227 × 5) = Rs. 6135.
Total cost of 13 chairs = Rs. (8280 - 6135) = Rs. 2145.
∴ Average cost of a chair = Rs. $$({2145}/{13})$$ = Rs. 165.
Question: 9
The average age of an adult class is 40 years. 12 new students with an average age of 32 years join the class, thereby decreasing the average by 4 years. The original strength of the class was
(A) 10
(B) 11
(C) 12
(D) 14
Ans: C
Let the original strength of the class be x.
Sum of ages of the whole class = (40x) years.
Sum of ages of 12 new students = (12 × 32) yeas = 384 years.
∴ $${40x + 384} / {x + 12}$$ = 36
⇒ 40x + 384 = 36x + 432
⇒ 4x = 48
⇒ x = 12.
Hence, the original strength of the class = 12.
Question: 10
Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56 km per hour. Find the average speed of the train during the whole journey.
(A) 65.2 km/hr
(B) 67.2 km/hr
(C) 68.2 km/hr
(D) 69.2 km/hr
Ans: B
Required average speed = $$({2xy}/{x + y})$$km/hr
= $${2 × 84 × 56} / {(84 + 56)}$$ km/hr
= $$({2 × 84 × 56}/{140})$$ km/hr = 67.2 km/hr.
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