Quantitative Aptitude Practice Question and Answer
8Q: In how many different ways can the letters of the word 'ABYSMAL' be arranged ? 2058 05b5cc6c9e4d2b4197774df88
5b5cc6c9e4d2b4197774df88- 15040false
- 23650false
- 34150false
- 42520true
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Answer : 4. "2520"
Explanation :
Answer: D) 2520 Explanation: Total number of letters in the word ABYSMAL are 7 Number of ways these 7 letters can be arranged are 7! ways But the letter is repeated and this can be arranged in 2! ways Total number of ways arranging ABYSMAL = 7!/2! = 5040/2 = 2520 ways.
Q: The total simple interest earned on a sum of money increases by Rs. 600 when the rate of interest increases by 2% per annum. If the investment was made for 5 years, find the sum of money that was invested ? 2058 05b5cc6cae4d2b4197774e03b
5b5cc6cae4d2b4197774e03b- 1Rs. 6000true
- 2Rs. 5550false
- 3Rs. 7500false
- 4Rs. 6580false
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Answer : 1. "Rs. 6000"
Explanation :
Answer: A) Rs. 6000 Explanation: Let the sum invested be Rs. P Let the rate of interest be R% per annum => Interest earned for 5 years = (P x 5 x R/100) = PR/20 Now, given that the interest earned increased by Rs. 600 if the Rate increased to (R+2)% => SI = (P x 5 x (R+2))/100 = PR/20 + 10P/100 Hence, PR/20 + 10P/100 = PR/20 + 600 => P = 6000 Therefore, the sum invested is Rs. 6000
Q: What percent is 120 of 85 ? 2057 05b5cc6dde4d2b4197774ea0a
5b5cc6dde4d2b4197774ea0a- 1133.33 %false
- 2141.17 %true
- 3145.54 %false
- 4139.29 %false
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Answer : 2. "141.17 %"
Explanation :
Answer: B) 141.17 % Explanation: Px85100=120 => p = 12000/85 = 141.17 %
Q: A man walks at a speed of 2 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 20 1/2 km, if he completes half of the distance, i.e., (10 1/4) km on foot and the other half by running ? 2057 05b5cc6dfe4d2b4197774eaf8
5b5cc6dfe4d2b4197774eaf8- 112.4 hrsfalse
- 211.9 hrstrue
- 310.7 hrsfalse
- 49.9 hrsfalse
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Answer : 2. "11.9 hrs"
Explanation :
Answer: B) 11.9 hrs Explanation: We know that Time = Distance/speedRequired time = (10 1/4)/2 + (10 1/4)/6 = 41/8 + 41/6= 287/24 = 11.9 hours.
Q: 50 men can build a tank in 40days, but though they begin the work together, 5 men quit every ten days. The time needed to build the tank is ? 2055 05b5cc76fe4d2b4197774ff71
5b5cc76fe4d2b4197774ff71- 150 daystrue
- 248 daysfalse
- 347.5 daysfalse
- 449 daysfalse
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Answer : 1. "50 days"
Explanation :
Answer: A) 50 days Explanation: 50 men can build a tank in 40 days Assume 1 man does 1 unit of work in 1 day Then the total work is 50×40 = 2000 units 50 men work in the first 10 days and completes 50×10 = 500 units of work 45 men work in the next 10 days and completes 45×10 = 450 units of work 40 men work in the next 10 days and completes 40×10 = 400 units of work 35 men work in the next 10 days and completes 35×10 = 350 units of work So far 500 + 450 + 400 + 350 = 1700 units of work is completed and Remaining work is 2000 - 1700 = 300 units 30 men work in the next 10 days. In each day, they does 30 units of work. Therefore, additional days required = 300/30 =10 Thus, total 10+10+10+10+10 = 50 days required.
Q: A train travelling with a speed of 60 km/hr catches another train travelling in the same direction and then leaves it 120m behind in 18 seconds. The speed of the second train is 2055 05b5cc6b7e4d2b4197774d5dd
5b5cc6b7e4d2b4197774d5dd- 142 kmphfalse
- 272 kmphfalse
- 336 kmphtrue
- 444 kmphfalse
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Answer : 3. "36 kmph"
Explanation :
Answer: C) 36 kmph Explanation: Given speed of the first train = 60 km/hr = 60 x 5/18 = 50/3 m/s Let the speed of the second train = x m/s Then, the difference in the speed is given by 503 - x = 12018 => x = 10 m/s => 10 x 18/5 = 36 km/hr
Q: A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: 2055 05b5cc6d6e4d2b4197774e65b
5b5cc6d6e4d2b4197774e65b- 149 kmphtrue
- 250 kmphfalse
- 351 kmphfalse
- 452 kmphfalse
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Answer : 1. "49 kmph"
Explanation :
Answer: A) 49 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 'x' km/hr. Then, relative speed = (x - 4) km/hr. x - 4 = 45 => x = 49 km/hr.
Q: 74.99% of 1299 + 8.98% of 1899 = ? 2053 05b5cc6b0e4d2b4197774d2b2
5b5cc6b0e4d2b4197774d2b2- 11378false
- 21301false
- 31212true
- 41197false
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Answer : 3. "1212"
Explanation :
Answer: C) 1212 Explanation: 74.99% of 1299 + 8.98% of 1899 = ? ? = 75 x 1400100 + 9 x 1800100 ? = 1050 + 162? = 1212.