Quantitative Aptitude Practice Question and Answer
8Q: 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? 1691 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: A train covers 180 km distance in 5 hours. Another train covers the same distance in 1 hour less. What is the difference in the distances covered by these trains in one hour if they are moving in the same direction? 1690 05b5cc6a3e4d2b4197774cbff
5b5cc6a3e4d2b4197774cbff- 115 kmsfalse
- 29 kmstrue
- 36 kmsfalse
- 418 kmsfalse
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Answer : 2. "9 kms"
Explanation :
Answer: B) 9 kms Explanation: The first train covers 180 kms in 5 hrs => Speed = 180/5 = 36 kmph Now the second train covers the same distance in 1 hour less than the first train => 4 hrs => Speed of the second train = 180/4 = 45 kmph Now, required difference in distance in 1 hour = 45 - 36 = 9 kms.
Q: 14 persons are seated around a circular table. Find the probability that 3 particular persons always seated together. 1687 05b5cc6b6e4d2b4197774d5b8
5b5cc6b6e4d2b4197774d5b8- 111/379false
- 221/628false
- 324/625true
- 426/247false
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Answer : 3. "24/625"
Explanation :
Answer: C) 24/625 Explanation: Total no of ways = (14 – 1)! = 13! Number of favorable ways = (12 – 1)! = 11! So, required probability = 11!×3!13! = 39916800×66227020800 = 24625
Q: A, B and C can do a piece of work in 72, 48 and 36 days respectively. For first p/2 days, A & B work together and for next ((p+6))/3days all three worked together. Remaining 125/3% of work is completed by D in 10 days. If C & D worked together for p day then, what portion of work will be remained? 1687 05b5cc669e4d2b4197774bf4d
5b5cc669e4d2b4197774bf4d- 11/5false
- 21/6true
- 31/7false
- 41/8false
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Answer : 2. "1/6"
Explanation :
Answer: B) 1/6 Explanation: Total work is given by L.C.M of 72, 48, 36 Total work = 144 units Efficieny of A = 144/72 = 2 units/day Efficieny of B = 144/48 = 3 units/day Efficieny of C = 144/36 = 4 units/day According to the given data, 2 x p/2 + 3 x p/2 + 2 x (p+6)/3 + 3 x (p+6)/3 + 4 x (p+6)/3 = 144 x (100 - 125/3) x 1/100 3p + 4.5p + 2p + 3p + 4p = 84 x 3 - 54 p = 198/16.5 p = 12 days. Now, efficency of D = (144 x 125/3 x 1/100)/10 = 6 unit/day (C+D) in p days = (4 + 6) x 12 = 120 unit Remained part of work = (144-120)/144 = 1/6.
Q: A room is 15 feet long and 12 feet broad. A mat has to be placed on the floor of the room leaving 1.5 feet space from the walls. What will be the cost of the mat at the rate of Rs. 3.50 per squire feet? 1684 05b5cc6b7e4d2b4197774d63d
5b5cc6b7e4d2b4197774d63d- 1378true
- 2472.5false
- 3496false
- 4630false
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Answer : 1. "378"
Explanation :
Answer: A) 378 Explanation:
Q: The ratio of speeds of a car, a train and a bus is 5:9:4. The average speed of the car, the bus and the train is 72 km/hr together. What is the average speed of the car and the train together ? 1682 05b5cc736e4d2b4197774f83c
5b5cc736e4d2b4197774f83c- 184 km/hrtrue
- 296 km/hrfalse
- 372 km/hrfalse
- 460 km/hrfalse
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Answer : 1. "84 km/hr"
Explanation :
Answer: A) 84 km/hr Explanation: Let the speeds of the car, train and bus be 5x, 9x and 4x km/hr respectively.Average speed = 5x + 9x + 4x/3 = 18x /3 = 6x km/hr.Also, 6x = 72 => x = 12 km/hrTherefore, the average speed of the car and train together is = 5x+9x2= 7x = 7 x 12 = 84 km/hr.
Q: On a school’s Annual day sweets were to be equally distributed amongst 112 children. But on that particular day, 32 children were absent. Thus the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get ? 1677 05b5cc741e4d2b4197774f9a4
5b5cc741e4d2b4197774f9a4- 114false
- 216false
- 312false
- 415true
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Answer : 4. "15"
Explanation :
Answer: D) 15 Explanation: Let 'K' be the total number of sweets.Given total number of students = 112If sweets are distributed among 112 children,Let number of sweets each student gets = 'L' => K/112 = L ....(1)But on that day students absent = 32 => remaining = 112 - 32 = 80Then, each student gets '6' sweets extra. => K/80 = L + 6 ....(2)from (1) K = 112L substitute in (2), we get112L = 80L + 48032L = 480L = 15 Therefore, 15 sweets were each student originally supposed to get.
Q: (3x + 2) (2x - 5) = ax² + kx + n. What is the value of a - n + k ? 1675 05b5cc74fe4d2b4197774fafe
5b5cc74fe4d2b4197774fafe- 14false
- 21false
- 35true
- 43false
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Answer : 3. "5"
Explanation :
Answer: C) 5 Explanation: (3x + 2) (2x - 5) = ax2+kx+n ...............(1) But (3x + 2)(2x - 5) = 6x2-11x-10........(2) so by comparing (1) & (2), we get a= 6, k= -11 , n= -10 (a - n + k) = 6 + 10 - 11 = 5.