Quantitative Aptitude Practice Question and Answer
8Q: Ravi and Ramu are partners in a business.Ravi contributes 1/6 of the capital for 16 months and Ramu received 2/3 of the profit. For how long Ramu's money was used ? 1681 05b5cc71ee4d2b4197774f590
5b5cc71ee4d2b4197774f590- 111 monthsfalse
- 210 monthsfalse
- 39 monthsfalse
- 48 monthstrue
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Answer : 4. "8 months"
Explanation :
Answer: D) 8 months Explanation: Let the total Profit be Z.Ramu's profit share is 2/3 of profit (i.e 2Z/3)Ravi's profit is (Z-2Z/3) =Z/3Hence the profit ratio is , Ravi : Ramu = Z/3 : 2Z/3 = 1:2 Let total Capital be Rs.X and Ramu has contributed for Y months.Since Ramu's profit share is 2/3, his invest share will be 2/3 in capital. Ravi's invest for 16 months / Ramu's invest for Y months = Ravi's profit share / Ramu's profit sharei.e. (X/6 x 16) / (2X/3 x Y) = 1/2 Solving the above equation, we get Y = 8.So Ramu's money has been used for 8 months.
Q: An individual deposited 20% of 25% of 30% of what he had into his account with a bank. If he deposited Rs.750, how much was he having initially with him before depositing ? 1239 05b5cc71ee4d2b4197774f595
5b5cc71ee4d2b4197774f595- 1Rs. 38000false
- 2Rs. 47000false
- 3Rs. 50000true
- 4Rs. 35000false
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Answer : 3. "Rs. 50000"
Explanation :
Answer: C) Rs. 50000 Explanation: Let 'x' be the amount he had in the bank. => 20/100(25/100(30/100(x))) = 750 x = 750 x 8000/120 = Rs. 50000
Q: In how many ways can the letters of the word 'LEADER' be arranged ? 902 05b5cc71ee4d2b4197774f58b
5b5cc71ee4d2b4197774f58b- 1360true
- 2420false
- 3576false
- 4220false
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Answer : 1. "360"
Explanation :
Answer: A) 360 Explanation: No. of letters in the word = 6No. of 'E' repeated = 2Total No. of arrangement = 6!/2! = 360
Q: A boat travels 72 km downstream in 8 hours and 84 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current ? 1421 05b5cc71ee4d2b4197774f581
5b5cc71ee4d2b4197774f581- 19 and 3 kmphfalse
- 26 and 7 kmphfalse
- 38 and 1 kmphtrue
- 47 and 2 kmphfalse
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Answer : 3. "8 and 1 kmph"
Explanation :
Answer: C) 8 and 1 kmph Explanation: Downstream speed = 72km/8hrs = 9 kmphupstream speed = 84km/12hrs = 7 kmphspeed of boat = avg of downstream and upstream speedsspeed of boat = (9+7)/2kmph = 8 kmph.current speed = half of the difference of downstream and upstream speedscurrend speed = (9-7)/2kmph = 1 kmph
Q: A train moving at 2/3 rd of its normal speed reaches its destination 20 minutes late. Find the normal time taken ? 2750 05b5cc71ee4d2b4197774f57c
5b5cc71ee4d2b4197774f57c- 14/3 hrsfalse
- 22/3 hrstrue
- 33/2 hrsfalse
- 41/4 hrsfalse
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Answer : 2. "2/3 hrs"
Explanation :
Answer: B) 2/3 hrs Explanation: Let the original speed and time is S and Tthen distance = S x TNow the speed changes to 2/3S and T is T+20As the distance is sameS x T = 2/3Sx(T+20)solving this we get t = 40 minutes =40/60 = 2/3 hour
Q: In a cinema hall for the matinee show which started at 2.30 pm and ended at 5.30 pm the vehicle parking lot had only three wheelers (auto rickshaws) and four wheelers. Today the wheels of the vehicles parked was counted and found to be 240. What could be the number of three wheelers parked therein ? 2747 05b5cc71ee4d2b4197774f572
5b5cc71ee4d2b4197774f572- 148true
- 241false
- 345false
- 443false
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Answer : 1. "48"
Explanation :
Answer: A) 48 Explanation: 3X + 4y = 240by substitute through options 48 is correct
Q: Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B ? 1429 05b5cc71ee4d2b4197774f568
5b5cc71ee4d2b4197774f568- 176%false
- 272%false
- 380%true
- 482%false
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Answer : 3. "80%"
Explanation :
Answer: C) 80% Explanation: circumference of A = 2πr = 8 => so r = 4πvolume = π×4π2×10 = 160πcircumference of B = 2πr = 10 => so r = 5πvolume = π×5π2×8 = 200πso ratio of capacities = 160/200 = 0.8 so capacity of A will be 80% of the capacity of B.
Q: Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ? 1615 05b5cc71be4d2b4197774f559
5b5cc71be4d2b4197774f559- 125 yearstrue
- 224 yearsfalse
- 323 yearsfalse
- 422 yearsfalse
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Answer : 1. "25 years"
Explanation :
Answer: A) 25 years Explanation: Let varun's age = x yrs. From the given conditions, x+1 = 2(x-12) x = 25 years.