Quantitative Aptitude Practice Question and Answer
8Q: The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ? 2172 05b5cc6dfe4d2b4197774eaf3
5b5cc6dfe4d2b4197774eaf3- 111 monthsfalse
- 29 monthsfalse
- 37 monthsfalse
- 410 monthstrue
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Answer : 4. "10 months"
Explanation :
Answer: D) 10 months Explanation: 7x5: 5xk = 7:10k = 10 months
Q: A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively? 2170 05b5cc6bce4d2b4197774d88b
5b5cc6bce4d2b4197774d88b- 17:4false
- 211:4false
- 34:7false
- 48:3true
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Answer : 4. "8:3"
Explanation :
Answer: D) 8:3 Explanation: Let the speed of the boat upstream be p kmph and that of downstream be q kmph Time for upstream = 8 hrs 48 min = 845hrs Time for downstream = 4 hrs Distance in both the cases is same. => p x 845= q x 4 => 44p/5 = 4q => q = 11p/5 Now, the required ratio of Speed of boat : Speed of water current = q+p2:q-p2 => (11p/5 + p)/2 : (11p/5 - p)/2 => 8 : 3
Q: P, Q, and R can do a job in 12 days together. If their efficiency of working be in the ratio 3 : 8 : 5, Find in what time Q can complete the same work alone? 2170 05b5cc698e4d2b4197774c61d
5b5cc698e4d2b4197774c61d- 136 daystrue
- 230 daysfalse
- 324 daysfalse
- 422 daysfalse
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Answer : 1. "36 days"
Explanation :
Answer: A) 36 days Explanation: Given the ratio of efficiencies of P, Q & R are 3 : 8 : 5 Let the efficiencies of P, Q & R be 3x, 8x and 5x respectively They can do work for 12 days. => Total work = 12 x 16x = 192x Now, the required time taken by Q to complete the job alone = 162x8x = 24 days.
Q: The series of differences between consecutive prime numbers is represented as Cp1, Cp2, Cp3, .... Cpn , Whare Cp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ? 2169 05b5cc6fbe4d2b4197774f09f
5b5cc6fbe4d2b4197774f09f- 187true
- 281false
- 383false
- 485false
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Answer : 1. "87"
Explanation :
Answer: A) 87 Explanation: Cp1 = p2 - p1 , Cp2 = p3 - p2 ......Cp23 = p24 - p23Sum of series = (p2-p1) + (p3-p2) + .....(p23-p22) + (p24-p23)All terms get cancelled, except p1 = 2 and p24 = 89 So Sum = -p1 + p24Sum of series = -2 + 89 = 87
Q: Chennai express left Hyderabad for Chennai at 14 : 30 hours, travelling at a speed of 60 kmph and Charminar Express left Hyderabad for Chennai on the same day at 16 : 30 hours, travelling at a speed of 80 kmph. How far away from Hyderabad will the two trains meet? 2167 05b5cc6abe4d2b4197774d067
5b5cc6abe4d2b4197774d067- 1360 kmsfalse
- 2480 kmstrue
- 3520 kmsfalse
- 4240 kmsfalse
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Answer : 2. "480 kms"
Explanation :
Answer: B) 480 kms Explanation: Now, the distance covered by Chennai express in 2 hrs = 60 x 2 = 120 kms Let the Charminar Express takes 't' hrs to catch Chennai express => 80 x t = 60 x (2 + t) => 80 t = 120 + 60t => t = 6 hrs Therefore, the distance away from Hyderabad the two trains meet = 80 x 6 = 480 kms.
Q: 70000 a year is how much an hour? 2166 05b5cc626e4d2b4197774b886
5b5cc626e4d2b4197774b886- 180false
- 28true
- 30.8false
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Answer : 2. "8"
Explanation :
Answer: B) 8 Explanation: Given for year = 70000 => 365 days = 70000 => 365 x 24 hours = 70000 => 1 hour = ? 70000/365x24 = 7.990 = 8
Q: What percent of a day is 3 hours? 2165 05b5cc69ae4d2b4197774c778
5b5cc69ae4d2b4197774c778- 114.9%false
- 212.5%true
- 315.6%%false
- 411.4%false
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Answer : 2. "12.5%"
Explanation :
Answer: B) 12.5% Explanation: Let p% of a day is 3 hrs. We know that a day has 24 hrs. => p x 24/100 = 3 => p = 300/24 => p = 12.5% Hence, 3 hrs is 12.5% of a day.
Q: Mr. Karthik drives to work at an average speed of 48 km/hr. Time taken to cover the first 60% of the distance is 20 minutes more than the time taken to cover the remaining distance. Then how far is his office ? 2163 05b5cc777e4d2b419777500b6
5b5cc777e4d2b419777500b6- 140 kmfalse
- 250 kmfalse
- 370 kmfalse
- 480 kmtrue
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Answer : 4. "80 km"
Explanation :
Answer: D) 80 km Explanation: Let the total distance be 'x' km. Time taken to cover remaining 40% of x distance is t1=40×x100×48 But given time taken to cover first 60% of x distance is t2=t1+2060hrs t2=60×x100×48 ∴60×x100×48= 40×x100×48+2060 x=80 km.