Quantitative Aptitude Practice Question and Answer
8Q: The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e always come together ? 2419 05b5cc6d3e4d2b4197774e4d7
5b5cc6d3e4d2b4197774e4d7- 11/7false
- 28!false
- 37!false
- 41/14true
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Answer : 4. "1/14"
Explanation :
Answer: D) 1/14 Explanation: The 8 letters can be written in 8! ways.n(S) = 8!Let E be the event that the letters b,c,d,e always come together when the first 8 alphabets are written down.Now the letters a, (bcde), f, g and h can be arranged in 5! ways.The letters b,c,d and e can be arranged themselves in 4! ways.n(E) = 5! x 4!Now, the required P(E) = n(E)/n(S) = 5! x 4!/8! = 1/14Hence the answer is 1/14.
Q: Selling an article at a profit of 20%, Aman gets Rs. 400 more than selling at a loss of 20%. The cost price of the article is ? 2417 05b5cc6c2e4d2b4197774dbeb
5b5cc6c2e4d2b4197774dbeb- 1Rs.1000true
- 2Rs. 1020false
- 3Rs.1210false
- 4Rs.1140false
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Answer : 1. "Rs.1000"
Explanation :
Answer: A) Rs.1000 Explanation: Cost price of the article is given by = 400x100/(20+20) = Rs.1000
Q: The largest 4 digit number exactly divisible by 88 is ? 2416 05b5cc728e4d2b4197774f6d2
5b5cc728e4d2b4197774f6d2- 19944true
- 29768false
- 38888false
- 49988false
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Answer : 1. "9944"
Explanation :
Answer: A) 9944 Explanation: The largest 4 digit number is = 9999After dividing 9999 with 88, we get 55 as remainderso largest 4 digit number divisible by 88 = 9999-55 = 9944.
Q: The average of five numbers is 49. The average of the first and the second numbers is 48 and the average of fourth and fifth numbers is 28. What is the third number?
2412 05d4a9cab11160f20523711a5
5d4a9cab11160f20523711a5- 192false
- 291false
- 395false
- 4Cannot determinedfalse
- 5None of thesetrue
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Answer : 5. "None of these"
Q: Simplification the following equations
2411 05d4a92db0c56ef19ba1dc4b3
5d4a92db0c56ef19ba1dc4b3- 12955.5false
- 22905.5true
- 32590.5false
- 42905.5false
- 5None of thesefalse
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Answer : 2. "2905.5"
Q: A man walks 6 km at a speed of 112kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man in kmph. 2410 05b5cc764e4d2b4197774fd8a
5b5cc764e4d2b4197774fd8a- 14314false
- 24213true
- 32413false
- 43414false
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Answer : 2. "4213"
Explanation :
Answer: B) Option B Explanation: Man walked 6 km at 1.5 kmph, again he walked 8 km at speed of 2 kmph and 40 km at a speed of 8kmphtime taken indivisually: => 6/1.5 = 4 m=> 8/2 = 4 m=> 40/8 = 5 m Average speed of man= total distance/ total time=> 54/13 = 4213 kmph
Q: There are 209 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 11 : 8, then how many nurses are there in the hospital? 2400 05b5cc761e4d2b4197774fd44
5b5cc761e4d2b4197774fd44- 188true
- 296false
- 3108false
- 4121false
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Answer : 1. "88"
Explanation :
Answer: A) 88 Explanation: Given,The ratio of the doctors to the nurses is 11 : 8Number of nurses = 8/19 x 209 = 88.
Q: A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is ? 2396 05b5cc6dfe4d2b4197774eacb
5b5cc6dfe4d2b4197774eacb- 145/7 %false
- 250/9 %true
- 351/7 %false
- 447/ 9 %false
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Answer : 2. "50/9 %"
Explanation :
Answer: B) 50/9 % Explanation: Let sum = S. Then, amount = 7S/6 S.I. = 7S/6 - S = S/6; Time = 3 years. Rate = (100 x S) / (S x 6 x 3) = 5 5/9 = 50/9 %.