Quantitative Aptitude Practice Question and Answer
8Q: Watson bought a book for Rs. 240 and sold to Johny at a profit of 50%. Johny wants to sell this book to Shekar so that he earns a profit of 25%. But Shekar is adamant at buying this book at a discount of 10%. What marked price should Johny quote to Shekar so as to achieve desired profit ? 1459 05b5cc6cae4d2b4197774e040
5b5cc6cae4d2b4197774e040- 1Rs. 450false
- 2Rs. 360false
- 3Rs. 415false
- 4Rs. 500true
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Answer : 4. "Rs. 500"
Explanation :
Answer: D) Rs. 500 Explanation: Watson bought the book for Rs. 240 and sold to Johny at a profit of 50%. S.P = C.P(1 + P%/100) => S.P for Watson = C.P for Johny = 240(1 + 50/100) = 240 x 1.5 = Rs. 360 Let Johny quoted the marked price of the book as Rs. M We know, SP = M.P(1 - Discount(%)/100) Here discount = 10% to Shekar, S.P for Johny = M(1 - 10/100) = 0.9M But Johny want to earn 25% profit, => S.P = C.P(1 + P%/100) => 0.9M = 360(1 + 25/100) => M = (360x1.25)/0.9 => M = Rs. 500 Therefore, Johny should quote Rs. 500 as the marked price of the book to get 25% profit and allowing 10% discount to Shekar.
Q: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ? 1458 05b5cc6dae4d2b4197774e8a5
5b5cc6dae4d2b4197774e8a5- 145 kmphfalse
- 225 kmphfalse
- 330 kmphfalse
- 450 kmphtrue
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Answer : 4. "50 kmph"
Explanation :
Answer: D) 50 kmph Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) x (18/5)] km/hr = 45 km/hr. Let the speed of the train be 'S' km/hr. Then, relative speed = (S - 5) km/hr. S - 5 = 45 => S = 50 km/hr.
Q: A train-A passes a stationary train B and a pole in 24 sec and 9 sec respectively. If the speed of train A is 48 kmph, what is the length of train B? 1458 05b5cc698e4d2b4197774c613
5b5cc698e4d2b4197774c613- 1200 mtstrue
- 2180 mtsfalse
- 3160 mtsfalse
- 4145 mtsfalse
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Answer : 1. "200 mts"
Explanation :
Answer: A) 200 mts Explanation: Length of train A = 48 x 9 x 5/18 = 120 mts Length of train B = 48 x 24 x 5/18 - 120 => 320 - 120 = 200 mts.
Q: A man reads 3/7 of a book on a day and 2/5 of the remaining, on the second day. If the number of pages still unread are 36, how many pages did the book contain ? 1458 05b5cc6c3e4d2b4197774dc4f
5b5cc6c3e4d2b4197774dc4f- 1105true
- 2101false
- 398false
- 4109false
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Answer : 1. "105"
Explanation :
Answer: A) 105 Explanation: Let number of pages in a book = p According to questions p - [3p/7 + (2/5 x 4p/7)] = 36 = p - 23p/35 = 36 => 12p = 36 × 35 p = 105
Q: Find the total numbers greater than 4000 that can be formed with digits 2, 3, 4, 5, 6 no digit being repeated in any number ? 1458 05b5cc6cde4d2b4197774e1db
5b5cc6cde4d2b4197774e1db- 1120false
- 2256false
- 3192true
- 4244false
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Answer : 3. "192"
Explanation :
Answer: C) 192 Explanation: We are having with digits 2, 3, 4, 5 & 6 and numbers greater than 4000 are to be formed, no digit is repeated. The number can be 4 digited but greater than 4000 or 5 digited. Number of 4 digited numbers greater than 4000 are4 or 5 or 6 can occupy thousand place => 3 x P34 = 3 x 24 = 72. 5 digited numbers = P55 = 5! = 120 So the total numbers greater than 4000 = 72 + 120 = 192
Q: Which of the following is not a prime number? 1457 05b5cc655e4d2b4197774bd59
5b5cc655e4d2b4197774bd59- 15false
- 211false
- 321true
- 437false
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Answer : 3. "21"
Explanation :
Answer: C) 21 Explanation: A prime number is a whole number greater than 1 whose only factors are 1 and itself. Factors of 5 are 1, 5 Factors of 11 are 1, 11 Factors of 21 are 1, 3, 7, 21 Factors of 37 are 1, 37. Hence, according to the definition of a prime number, 21 is not a prime number as it has more than two factors.
Q: Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m. ? 1456 05b5cc6dae4d2b4197774e899
5b5cc6dae4d2b4197774e899- 120 kmphfalse
- 218 kmphfalse
- 312 kmphtrue
- 416 kmphfalse
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Answer : 3. "12 kmph"
Explanation :
Answer: C) 12 kmph Explanation: Let the distance traveled be x km.Then, x/10 - x/15 = 23x - 2x = 60 => x = 60 km.Time taken to travel 60 km at 10 km/hr = 60/10 = 6 hrs.So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m.Required speed = 60/5 = 12 kmph.
Q: Anu's present age is 9 years more than that of what Raj's age will be after five years. Raj's present age is seven years more than that of what Renu's age was 4 years ago. Renu's present age is 19 years. What will be Anu's age after 5 years ? 1456 05b5cc6cae4d2b4197774dfd4
5b5cc6cae4d2b4197774dfd4- 139 yrsfalse
- 236 yrsfalse
- 346 yrsfalse
- 441 yrstrue
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Answer : 4. "41 yrs"
Explanation :
Answer: D) 41 yrs Explanation: Anu = (Raj + 5) + 9 = Raj + 14 -------- (I) Raj = (Renu - 4) + 7 = Renu + 3 ------- (II) Raj's age = 19 + 3 = 22 years After 5 years Anu's age = 22 + 14 + 5 = 41 years