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? 1752 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: 1397 x 1397 = ? Here what replaces '?' 1750 05b5cc6bbe4d2b4197774d853
5b5cc6bbe4d2b4197774d853- 11951609true
- 21821504false
- 32031489false
- 41847879false
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Answer : 1. "1951609"
Explanation :
Answer: A) 1951609 Explanation: 1397 x 1397
Q: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is ? 1749 05b5cc720e4d2b4197774f640
5b5cc720e4d2b4197774f640- 111false
- 27false
- 39true
- 413false
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Answer : 3. "9"
Explanation :
Answer: C) 9 Explanation: Here the number of cogs is inveresly proportional to number of revolutions => More cogs less revolution=> 6 : 14 :: x : 21=> (21x6)/14 = 9
Q: A man can row upstream at 16 km/hr and downstream at 24 km/hr. Find the speed of the current. 1748 05b5cc6bde4d2b4197774d942
5b5cc6bde4d2b4197774d942- 14 kmphtrue
- 26 kmphfalse
- 35 kmphfalse
- 43 kmphfalse
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Answer : 1. "4 kmph"
Explanation :
Answer: A) 4 kmph Explanation: Speed of the current = 24-16/2 = 8/2 = 4 km/hr.
Q: A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ? 1747 05b5cc6d8e4d2b4197774e764
5b5cc6d8e4d2b4197774e764- 155 kmphfalse
- 258 kmphfalse
- 360 kmphtrue
- 466 kmphfalse
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Answer : 3. "60 kmph"
Explanation :
Answer: C) 60 kmph Explanation: Speed on return trip = 150% of 50 = 75 km/hr. Average speed = (2 x 50 x 75)/(50 + 75) = 60 km/hr.
Q: In a certain Business, the profit is 220% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ? 1746 05b5cc767e4d2b4197774fe45
5b5cc767e4d2b4197774fe45- 161%true
- 275%false
- 355%false
- 481%false
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Answer : 1. "61%"
Explanation :
Answer: A) 61% Explanation: Let C.P.= Rs. 100. Then, Profit = Rs.220, S.P. = Rs.320. New C.P. = 125% of Rs. 100 = Rs. 125 New S.P. = Rs.320. Profit = Rs. (320 - 125) = Rs. 195 Required percentage = 195320×100== 60.9 =~ 61%
Q: (3x + 2) (2x - 5) = ax² + kx + n. What is the value of a - n + k ? 1745 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.
Q: 14 persons are seated around a circular table. Find the probability that 3 particular persons always seated together. 1745 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