RE 3 - Arithmetic Revision Exercise | Arithmetic - Revision
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The score of a team in a particular match is 250. If the scores of the team in next 3 matches were 20%, 33.33% and 25% more than their score in their respective preceding matches, then find the average score of the team in these 4 matches.
[Round off your answer up to 1 decimal place]
Solution
Discuss
ReportA tank has 2 pipes A and B, which can fill the tank in 4 hrs and 6 hrs respectively. Another pipe C can empty the tank in 6 hrs. A man wanted to set a timer which would open the pipe C after the tank would be half filled, but he mistakenly set it to open when the tank was one fourth empty, and thereby the tank was filled X minute earlier than the scheduled time. The value of X is
- (a)
16
- (b)
24
- (c)
18
- (d)
27
Harsh, Madhu and Anshu can complete a piece of work in 90, 60 and 45 days respectively. After working for x days together, Harsh left. After y more days Madhu left and Anshu completed the remaining work. Had Madhu not left they could have completed the work in (y + 4) days after Harsh had left. Had none of them left, then they would have completed the work in x + 7 days. Find the value of x + y.
- (a)
20
- (b)
18
- (c)
15
- (d)
13
A tank can be filled by any one or more than one out of n inlet valves namely v1, v2, v3, v4, ..., vn. The valve vi alone can fill the tank completely in the time taken by valves v1, v2, ..., vi–1. v10 alone can fill the tank in 20 hours, then in how many hours can valve v8 alone fill the tank?
The cost price of four articles is in the ratio of 1 : 2 : 3 : 4 and the profit percentage earned is in the ratio 2 : 3 : 4 : 5 respectively. The maximum profit percentage is less than 100% while percentage of profit on every article is a multiple of 10. Find the overall profit percentage.
[Type in your answer as the neared possible integer]
Refer to the data given below and answer the questions that follow.
Shabnam is considering three alternatives to invest her surplus cash for a week. She wishes to guarantee maximum returns on her investment. She has three options, each of which can be utilized fully or partially in conjunction with others.
Option A: Invest in a public sector bank. It promises a return of +0.10%.
Option B: Invest in mutual funds of ABC Ltd. A rise in the stock market will result in a return of +5%, while a fall will entail a return of –3%.
Option C: Invest in mutual funds of CBA Ltd. A rise in the stock market will result in a return of –2.5%, while a fall will entail a return of +2%.
The maximum guaranteed return to Shabnam is
- (a)
0.20%
- (b)
0.15%
- (c)
0.30%
- (d)
0.25%
- (e)
0.10%
What strategy will maximize the guaranteed return to Shabnam?
- (a)
64% in option B and 36% in option C
- (b)
1/3 in each of the three options
- (c)
30% in option A, 32% in option B and 38% in option C
- (d)
100% in option A
- (e)
36% in option B and 64% in option C
Shailaja has a faulty balance, the left pan of which weighs 100 g more than the right one. She has a weighing measure of 1 kg only. While buying goods she keeps the measure on the left pan and while selling she keeps the measure on the right pan. If she sells goods at its cost price, find her gain percentage.
- (a)
20%
- (b)
11.11%
- (c)
22.22%
- (d)
19.09%
The distance between two cities, A and B, is partly uphill, partly on level ground and partly downhill. It took four hours for a bus to go from A to B, whereas it took 80 minutes more to make the return journey. Find the distance (in km) between A and B, if the uphill speed, the downhill speed and that on the level ground of the bus are 55 km/hr, 66 km/hr and 60 km/hr respectively?
- (a)
240
- (b)
160
- (c)
280
- (d)
Cannot be determined
A sum of money gets doubled in less than 5 years but more than 4 years at x% per annum simple interest. Also, the same sum becomes four times in less than 10 years but more than 8 years at y% per annum simple interest. What is the minimum value of (y - x), where both x and t are integers?