Quantitative Aptitude Practice Question and Answer
8Q: M, N and O can complete the work in 18, 36 and 54 days respectively. M started the work and worked for 8 days, then N and O joined him and they all worked together for some days. M left the job one day before completion of work. For how many days they all worked together? 2394 05b5cc695e4d2b4197774c4fb
5b5cc695e4d2b4197774c4fb- 14false
- 25true
- 33false
- 46false
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Answer : 2. "5"
Explanation :
Answer: B) 5 Explanation: Let M, N and O worked together for x days. From the given data,M alone worked for 8 daysM,N,O worked for x daysN, O worked for 1 day But given thatM alone can complete the work in 18 daysN alone can complete the work in 36 daysO alone can complete the work in 54 days The total work can be the LCM of 18, 6, 54 = 108 units M's 1 day work = 108/18 = 6 unitsN's 1 day work = 108/36 = 3 unitsO's 1 day work = 108/54 = 2 units Now, the equation is8 x 6 + 11x + 5 x 1 = 10848 + 11x + 5 = 10811x = 103 - 4811x = 55x = 5 days. Hence, all M,N and O together worked for 5 days.
Q: A user type a content on 20 sheets, each sheet consist of 55 lines, and each line can have 66 characters. The content is again retyped on another set of sheets, these new sheets have 65 lines and each line can take 70 characters. Calculate the reduction in sheets ? 2392 05b5cc6fee4d2b4197774f15c
5b5cc6fee4d2b4197774f15c- 12 or 60%false
- 24 or 20%true
- 36 or 10%false
- 48 or 5%false
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Answer : 2. "4 or 20%"
Explanation :
Answer: B) 4 or 20% Explanation: 20 x 55 x 66 = L x 65 x 70Here L = 72,600/4550 = 15.95 =~ 16Reduction is 20-16 = 4 which is 20% reduction.
Q: Arun and Varun started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, Akhil joined them with Rs. 20,000. What will be Varun's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business ? 2391 05b5cc6fbe4d2b4197774f0f1
5b5cc6fbe4d2b4197774f0f1- 1Rs. 7500true
- 2Rs. 4520false
- 3Rs. 8750false
- 4Rs. 6350false
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Answer : 1. "Rs. 7500"
Explanation :
Answer: A) Rs. 7500 Explanation: Arun : Varun : Akhil = (20000 x 24) : (15000 x 24) : (20000 x 18) = 4:3:3 B's share = 25000 x 3/10 = Rs. 7500.
Q: There are 44 students in a hostel, due to the administration, 15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ? 2388 05b5cc74ae4d2b4197774fa9f
5b5cc74ae4d2b4197774fa9f- 1Rs. 404false
- 2Rs. 514false
- 3Rs. 340false
- 4Rs. 616true
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Answer : 4. "Rs. 616"
Explanation :
Answer: D) Rs. 616 Explanation: Let the average expenditure per head be Rs. pNow, the expenditure of the mess for old students is Rs. 44pAfter joining of 15 more students, the average expenditure per head is decreased by Rs. 3 => p-3Here, given the expenditure of the mess for (44+15 = 59) students is increased by Rs. 33Therefore, 59(p-3) = 44p + 3359p - 177 = 44p + 3315p = 210 => p = 14Thus, the expenditure of the mess for old students is Rs. 44p = 44 x 14 = Rs. 616.
Q: Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours ? 2385 05b5cc6d8e4d2b4197774e782
5b5cc6d8e4d2b4197774e782- 12/3 hrsfalse
- 23/4 hrstrue
- 31/3 hrsfalse
- 41/4 hrsfalse
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Answer : 2. "3/4 hrs"
Explanation :
Answer: B) 3/4 hrs Explanation: Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time so 1/3rd of the usual time = 15minor usual time = 3 x 15 = 45min = 45/60 hrs = 3/4 hrs.
Q: Ashwin fires two bullets from the same place at an interval of 15 minutes but Rahul sitting in a bus approaching the place hears the second sound 14 minutes 30 seconds after the first. If sound travels at the speed of 330 meter per second, what is the approximate speed of bus? 2383 05b5cc670e4d2b4197774c060
5b5cc670e4d2b4197774c060- 1330/29 m/strue
- 2330 x 30 m/sfalse
- 3330/14 m/sfalse
- 4330/900 m/sfalse
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Answer : 1. "330/29 m/s"
Explanation :
Answer: A) 330/29 m/s Explanation: Second gun shot take 30 sec to reach rahul imples distance between two. given speed of sound = 330 m/s Now, distance = 330 m/s x 30 sec Hence, speed of the bus = d/t = 330x30/(14x60 + 30) = 330/29 m/s.
Q: Five boxes of bananas sell for Rs. 30. how many boxes can you buy for Rs.9? 2371 05b5cc636e4d2b4197774b9ff
5b5cc636e4d2b4197774b9ff- 12false
- 21.5true
- 31.25false
- 42.5false
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Answer : 2. "1.5"
Explanation :
Answer: B) 1.5 Explanation: Given Five boxes of bananas sell for Rs. 30. => 1 Box of Bananas for = 30/5 = Rs. 6 Then, for Rs. 9 => 9/6 = 3/2 = 1.5 Hence, for Rs. 9, 1.5 box of bananas can buy.
Q: A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. 24 litres ? 2367 05b5cc6fee4d2b4197774f157
5b5cc6fee4d2b4197774f157- 168%false
- 280%false
- 375%false
- 4100%true
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Answer : 4. "100%"
Explanation :
Answer: D) 100% Explanation: When 3 passengers income was 3xexpense= Rs.30 profit =20% of 30 = Rs.6 That means his earning is Rs.36. so that per passenger fare must be Rs.12. When 4 passengersearning = 12x4=Rs.48.expense =Rs.24.profit = Rs.24 = 100%