Quantitative Aptitude Practice Question and Answer
8Q: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction ? 1984 05b5cc6e2e4d2b4197774ec2f
5b5cc6e2e4d2b4197774ec2f- 158 secfalse
- 262 secfalse
- 360 secfalse
- 450 sectrue
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Answer : 4. "50 sec"
Explanation :
Answer: D) 50 sec Explanation: The distance to be covered = Sum of their lengths = 200 + 300 = 500 m. Relative speed = 72 -36 = 36 kmph = 36 x 5/18 = 10 mps. Time required = d/s = 500/10 = 50 sec.
Q: In an exhibition, Almond bought a painting for Rs. 20000. He later sold it to Olive for Rs. 23000. Olive sold it to Sarah for double the profit percentage that Almond earned. At what price should Sarah sell this painting to earn 8% profit ? 1984 05b5cc6c4e4d2b4197774dcf6
5b5cc6c4e4d2b4197774dcf6- 1Rs. 34,410false
- 2Rs. 31,184false
- 3Rs. 29,999false
- 4Rs. 32,292true
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Answer : 4. "Rs. 32,292"
Explanation :
Answer: D) Rs. 32,292 Explanation: Almond Selling price = CP(1 + P%/100) => CP = 20000, SP = 23000 => 23000 = 20000 (1 + P/100) => P% = 100(23000/20000 - 1) = 15 Then, Olive's P% = 30% SP for Olive = CP for Sarah = 23000(1 + 30/100) = 29900 Now Sarah wants to earn profit of 8% => Sp for Sarah = 29900(1 + 8/100) = Rs. 32,292.
Q: What will be the ratio of simple interest earned by certain amount at the same rate of interestfor 4 years and 6 years ? 1984 05b5cc767e4d2b4197774fe15
5b5cc767e4d2b4197774fe15- 11:2false
- 22:1false
- 32:3true
- 43:2false
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Answer : 3. "2:3"
Explanation :
Answer: C) 2:3 Explanation: Let p be the principle amount And R% be the rate of interest Then, required ratio =P×4×R100P×6×R100 ⇒4PR6PR= 2:3
Q: A & B invest Rs. 1,16,000 & 1,44,000 respectively. B invests for 6 months. At the end of the year, B’s share is Rs. 9000, find the overall profit? 1982 05b5cc6bce4d2b4197774d877
5b5cc6bce4d2b4197774d877- 1Rs. 23,500true
- 2Rs. 19,780false
- 3Rs. 21,700false
- 4Rs. 20,050false
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Answer : 1. "Rs. 23,500"
Explanation :
Answer: A) Rs. 23,500 Explanation: Given A & B in partnership A Invests 116000 for 12 months => A's share = 116000 x 12 = 13,92,000 B Invests for 6 months => B's share = 144000 x 6 = 8,64,000 Their Ratio = 1392 : 864 = 29 : 18 Let the Annual profit = P Given B's share = Rs. 9000 => 18/47 x P = 9000 => P = 9000 x 47/18 => P = 23,500 Hence, Overall profit = P = Rs. 23,500
Q: A man reduces his travelling time by a fraction of 2/5, as a result the distance covered by the man is increased by 20%, find the percentage increase in the speed of the man ? 1982 05b5cc6c5e4d2b4197774dddc
5b5cc6c5e4d2b4197774dddc- 177%false
- 288%false
- 3100%true
- 499%false
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Answer : 3. "100%"
Explanation :
Answer: C) 100% Explanation:
Q: 16 of 225 is = 1982 05b5cc6b4e4d2b4197774d4d4
5b5cc6b4e4d2b4197774d4d4- 17.11true
- 27.21false
- 36.87false
- 47.58false
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Answer : 1. "7.11"
Explanation :
Answer: A) 7.11 Explanation: 16 of 225 is = 16 = p × 225100p = 1600225 = 7.1111
Q: Sweety is 54 years old and her mother is 80. How many years ago was Sweety's mother three times her age? 1981 05b5cc6bae4d2b4197774d79e
5b5cc6bae4d2b4197774d79e- 120false
- 241true
- 326false
- 433false
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Answer : 2. "41"
Explanation :
Answer: B) 41 Explanation: Given P = 54 and M = 80 According to the question, Let ‘A’ years ago, M = 3P => M - A/P - A = 3 => 80 - A = 3(54 - A) => 80 - A = 162 - 3A => 2A = 82 => A = 41 Therefore, A = 41 years ago Sweety’s mother was 3 times of Sweety’s age. Hence, at the age S = 13 and M = 39.
Q: A began a business with Rs. 85000. He was joined afterwards by B with Rs. 42,500. For how much perod does B join, if the profits at the end of the year are divided in the ratio of 3:1 ? 1980 05b5cc767e4d2b4197774fe2c
5b5cc767e4d2b4197774fe2c- 18 monthstrue
- 26 monthsfalse
- 37 monthsfalse
- 49 monthsfalse
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Answer : 1. "8 months"
Explanation :
Answer: A) 8 months Explanation: Suppose B joined for x months. Given profit is divided in the ratio 3:1. Then, 85000×1242500×x=31 --> x = 8 months.