Loading...

Shopping cart

Your Cart is empty

Go to Shop
Subtotal:
โ‚น 0.00
AVERAGES LEVEL - 3
Q1โ€“10 of 51
1

A bus travels with a speed of 10 km/h in the first 15 minutes, goes 5 km in the next 15 minutes, 15 km in the next 15, 10 km in the next 15. What is the average speed of the bus in kilometre per hour for the journey described?

Correct Answer: (b) 32.50 kmph
Explanation:
Solution: In the first 15 min at 10 km/h, distance = 2.5 km. The next three segments give 5 km, 15 km, 10 km directly. Total distance = 2.5 + 5 + 15 + 10 = 32.5 km, in a total time of 1 hour. Average speed = 32.5 km/h. Answer: (b) 32.50 kmph
2

With an average speed of 25 km/h, a train reaches its destination in time. If it goes with an average speed of 20 km/h, it is late by 1 hour. The length of the total journey is

Correct Answer: (b) 100 km
Explanation:
Solution: Let distance = D. Time at 20 km/h minus time at 25 km/h = 1 hour: $\dfrac{D}{20} - \dfrac{D}{25} = 1 \Rightarrow \dfrac{D}{100} = 1 \Rightarrow D = 100$ km. Answer: (b) 100 km
3

In the month of January of a certain year, the average daily expenditure of an organisation was โ‚น60. For the first 15 days of the month, the average daily expenditure was โ‚น80 and for the last 17 days, โ‚น50. Find the amount spent by the organisation on the 15th day of the month.

Correct Answer: (a) 190
Explanation:
Solution: January has 31 days, so total spend = 31 ร— 60 = 1860. First 15 days total = 15 ร— 80 = 1200. Last 17 days total = 17 ร— 50 = 850. Since 15 + 17 = 32, the 15th day is counted in both groups, so: 1200 + 850 โˆ’ 1860 = 190, which is exactly the extra (double-counted) amount for the 15th day. Answer: (a) 190
4

One-fifth of a certain journey is covered at the rate of 20 km/h, one-fourth at the rate of 50 km/h and the rest at 55 km/h. Find the average speed for the whole journey.

Correct Answer: (b) 40 km/h
Explanation:
Solution: Let total distance = D. Time taken = $\dfrac{D/5}{20} + \dfrac{D/4}{50} + \dfrac{11D/20}{55} = 0.01D + 0.005D + 0.01D = 0.025D$. Average speed = $D / 0.025D = 40$ km/h. Answer: (b) 40 km/h
5

A batsman makes a score of 40 runs in the 5th inning and thus increases his average by 4. Find the possible value of the new average.

Correct Answer: (b) 24
Explanation:
Solution: Let new average = A. Old average (after 4 innings) = A โˆ’ 4, so total after 4 innings = 4(A โˆ’ 4). Adding the 40 runs: $4(A-4) + 40 = 5A \Rightarrow 4A - 16 + 40 = 5A \Rightarrow A = 24$. Answer: (b) 24
6

Aman can type a sheet in 10 minutes, Baman in 20 minutes and Chaman in 30 minutes. The average number of sheets typed per hour per typist for all three typists is

Correct Answer: (a) $\dfrac{11}{3}$
Explanation:
Solution: Sheets typed per hour: Aman = 6, Baman = 3, Chaman = 2. Total = 11 sheets in one hour, shared among 3 typists โ†’ average = $\dfrac{11}{3}$. Answer: (a) $\dfrac{11}{3}$
7

Find the average increase rate (per annum) if increase in the population in the first year is 10% and that in the second year is 20%.

Correct Answer: (b) 16
Explanation:
Solution: Take initial population = 100. After year 1 (10% up) = 110. After year 2 (20% up on 110) = 132. Total increase over 2 years = 32, so average annual rate = 32/2 = 16%. Answer: (b) 16
8

The average income of a person for the first 5 days of a month is โ‚น20, for the next 10 days it is โ‚น24, for the next 10 days it is โ‚น30 and for the remaining days of the month it is โ‚น10. Find the average income (in โ‚น) per day.

Correct Answer: (d) Cannot be determined
Explanation:
Solution: 5 + 10 + 10 = 25 days are accounted for, but the number of "remaining days" depends on whether the month has 28, 29, 30, or 31 days โ€” this isn't specified, so the overall average cannot be computed. Answer: (d) Cannot be determined
9

In hotel Clarks, the rooms are numbered from 101 to 150 on the first floor, 201 to 240 on the second floor and 316 to 355 on the third floor. In the month of May 2018, the room occupancy was 50% on the first floor, 50% on the second floor and 30% on the third floor. If it is also known that the room charges are โ‚น2000, โ‚น1000 and โ‚น1500 on each of the floors, then find the average income per room (in โ‚น) for the month of May 2017.

Correct Answer: (a) 676.92
Explanation:
Solution: Rooms: floor 1 = 50, floor 2 = 40, floor 3 = 40 (total 130). Income: floor 1 = 25 ร— 2000 = 50,000; floor 2 = 20 ร— 1000 = 20,000; floor 3 = 12 ร— 1500 = 18,000. Total = 88,000. Average per room = 88000/130 = 676.92. Answer: (a) 676.92
10

A salesman gets a bonus according to the following structure: If he sells articles worth โ‚นx then he gets a bonus of โ‚น(x/10 โˆ’ 1000). In the month of January, his sales value was โ‚น10000, in February it was โ‚น12000, from March to November it was โ‚น30000 for every month and in December it was โ‚น12000. Apart from this, he also receives a basic salary of โ‚น3000 per month from his employer. Find his average income per month (in โ‚น) during the year.

Correct Answer: (a) 4533
Explanation:
Solution: Bonus: Jan = 1000โˆ’1000 = 0; Feb = 1200โˆ’1000 = 200; Marโ€“Nov (9 months) each = 3000โˆ’1000 = 2000, total 18,000; Dec = 200. Total bonus = 18,400. Basic salary total = 3000 ร— 12 = 36,000. Annual income = 54,400. Average per month = 54400/12 โ‰ˆ 4533.33. Answer: (a) 4533
Page 1 of 6
Home Courses PYQs Exams Login