Quantitative Aptitude Practice Question and Answer
8Q: To fill 8 vacancies there are 15 candidates of which 5 are from ST. If 3 of the vacancies are reserved for ST candidates while the rest are open to all, Find the number of ways in which the selection can be done ? 1577 05b5cc6c4e4d2b4197774dcb3
5b5cc6c4e4d2b4197774dcb3- 17920true
- 274841false
- 314874false
- 410213false
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Answer : 1. "7920"
Explanation :
Answer: A) 7920 Explanation: ST candidates vacancies can be filled by C35 ways = 10 Remaining vacancies are 5 that are to be filled by 12 => C512= (12x11x10x9x8)/(5x4x3x2x1) = 792 Total number of filling the vacancies = 10 x 792 = 7920
Q: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train? 1571 05b5cc6bee4d2b4197774d97e
5b5cc6bee4d2b4197774d97e- 127 7/9 mtstrue
- 225 8/7 mtsfalse
- 321 1/4 mtsfalse
- 422 mtsfalse
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Answer : 1. "27 7/9 mts"
Explanation :
Answer: A) 27 7/9 mts Explanation: Relative speed = (40 - 20) km/hr = 20 x 5 m/sec = 50 m/sec. 18 9 Length of faster train = 50 x 5 m = 250 m = 27 7 m. 9 9 9
Q: When a number is divided by 138 the remainder is 26. What will be the remainder if the same number is divided by 23 ? 1571 05b5cc741e4d2b4197774f9b3
5b5cc741e4d2b4197774f9b3- 14false
- 26false
- 33true
- 41false
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Answer : 3. "3"
Explanation :
Answer: C) 3 Explanation: Number = quotient x divisor + remainder;so, herenumber = 138 k + 26=> (23 x 6k) + (23+3)=> 23(6k+1)+3so, remainder is 3.
Q: There are 3 sections with 5 questions each. If four questions are selected from each section, the chance of getting different questions is ? 1565 05b5cc73de4d2b4197774f920
5b5cc73de4d2b4197774f920- 11000false
- 2625false
- 3525false
- 4125true
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Answer : 4. "125"
Explanation :
Answer: D) 125 Explanation: Methods for selecting 4 questions out of 5 in the first section = 5 x 4 x 3 x 2 x 1/4 x 3 x 2 x 1 = 5. Similarly for other 2 sections also i.e 5 and 5 So total methods = 5 x 5 x 5 = 125.
Q: What value will come in place of question mark (?) in following number series? 12, 16, 32, 68, ? 1562 05b5cc6bee4d2b4197774d9c4
5b5cc6bee4d2b4197774d9c4- 1198false
- 2164false
- 3132true
- 4118false
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Answer : 3. "132"
Explanation :
Answer: C) 132 Explanation: Given series is 12 16 32 68 ? Here it follows a pattern that, 12 12 + (2x2) = 16 16 + (4x4) = 32 32 + (6x6) = 68 68 + (8x8) = 132
Q: A mother can do a certain job in x hours. Her daughter takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the mother take to do the job ? 1553 05b5cc6cfe4d2b4197774e2fe
5b5cc6cfe4d2b4197774e2fe- 13false
- 26false
- 39true
- 412false
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Answer : 3. "9"
Explanation :
Answer: C) 9 Explanation: The mother completes the job in x hours.So, the daughter will take 2x hours to complete the same job. In an hour, the mother will complete 1/x of the total job.In an hour, the daughter will complete 1/2x of the total job. So, if the mother and daughter work together, in an hour they will complete 1/x + 1/2x of the job.i.e., in an hour they will complete 3/2x of the job. The question states that they complete the entire task in 6 hours if they work together.i.e., they complete 1/6 th of the task in an hour. Equating the two information, we get 3/2x = 1/6By solving for x, we get 2x = 18 or x = 9. The mother takes 9 hours to complete the job.
Q: A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely ? 1547 05b5cc6dae4d2b4197774e8be
5b5cc6dae4d2b4197774e8be- 14 hrs 15 minfalse
- 23 hrs 24 minfalse
- 34 hrs 51 minfalse
- 43 hrs 45 mintrue
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Answer : 4. "3 hrs 45 min"
Explanation :
Answer: D) 3 hrs 45 min Explanation: Time taken by one tap to fill half of the tank = 3 hrs. Part filled by the taps in 1 hour = 4 x 1/6 = 2/3 Remaining part = 1 - 1/2 = 1/2 2/3 : 1/2 :: 1 : p p = 1/2 x 1 x 3/2 = 3/4 hrs. i.e., 45 min So, total time taken = 3 hrs 45 min.
Q: A simple interest earned on certain amount is triple the money when invested for 16 years.what is the interest rate offered ? 1547 05b5cc745e4d2b4197774fa13
5b5cc745e4d2b4197774fa13- 113.33 %false
- 214.25 %false
- 316.98 %false
- 418.75 %true
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Answer : 4. "18.75 %"
Explanation :
Answer: D) 18.75 % Explanation: Given,S.I = 3 Principal Amount=> 3A = A x 16 x R/100By solving, we get => R = 18.75%