Quantitative Aptitude Practice Question and Answer
8Q: A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum ? 1900 05b5cc6e0e4d2b4197774eb61
5b5cc6e0e4d2b4197774eb61- 1Rs.8000false
- 2Rs.6500false
- 3Rs.7500true
- 4Rs.5000false
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Answer : 3. "Rs.7500"
Explanation :
Answer: C) Rs.7500 Explanation: p=d×1002R2 Where d is difference, r is rate of interest. => (48 x 100 x 100) / 8 x 8 = Rs.7500
Q: 5% people of a village in India died by dengue, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning ? 2228 05b5cc6e0e4d2b4197774eb5c
5b5cc6e0e4d2b4197774eb5c- 14400true
- 23100false
- 32800false
- 45600false
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Answer : 1. "4400"
Explanation :
Answer: A) 4400 Explanation: Let 'P' be the original population at the beginning P x (95/100) x (85/100) = 3553 P = 4400.
Q: Two trains, one from Hyderabd to Bangalore and the other from Bangalore to Hyderabad, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is ? 3414 05b5cc6e0e4d2b4197774eb57
5b5cc6e0e4d2b4197774eb57- 13 : 4false
- 24 : 3true
- 32 : 3false
- 43 : 2false
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Answer : 2. "4 : 3"
Explanation :
Answer: B) 4 : 3 Explanation: Let us name the trains as A and B. Then, (A's speed) : (B's speed) = √b : √a = √16 : √9 = 4:3
Q: Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank ? 1345 05b5cc6e0e4d2b4197774eb48
5b5cc6e0e4d2b4197774eb48- 115 min 20 sec.false
- 216 min 40 sec.false
- 313 min 10 sec.false
- 414 min 40 sec.true
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Answer : 4. "14 min 40 sec."
Explanation :
Answer: D) 14 min 40 sec. Explanation: Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15 Remaining part = 1 - 7/15 = 8/15 Part filled by B in 1 minute = 1/20 1/20 : 8/15 :: 1 : k k = (8/15 )x 1 x 20 = 10( 2/3) min = 10 min 40 sec. The tank will be full in (4 min. + 10 min. 40 sec) = 14 min 40 sec.
Q: Train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 20 seconds. The length of train K is three-fourths the length of train L. What is the ratio of the speed of train K to that of train L ? 1134 05b5cc6e0e4d2b4197774eb39
5b5cc6e0e4d2b4197774eb39- 11 : 3false
- 22 : 1true
- 33 : 1false
- 41 : 2false
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Answer : 2. "2 : 1"
Explanation :
Answer: B) 2 : 1 Explanation: Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds. Let the length of train K be Lk and that of train L be Ll given that Lk = 3/4 Ll As the train K and L crosses the pole in 30 seconds and 80 seconds respectively, => Speed of train K = sk = Lk/30 Speed of train L = sl = Ll/80 Lk = 3/4 Ll => sk = 3/4 Ll/(30) = Ll/40 Ratio of their speeds = sk : sl = Ll/40 : Ll/80 => 1/40 : 1/80 = 2 : 1
Q: If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is ? 1238 05b5cc6e0e4d2b4197774eb2a
5b5cc6e0e4d2b4197774eb2a- 1Rs. 580false
- 2Rs. 480true
- 3Rs. 550false
- 4Rs. 470false
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Answer : 2. "Rs. 480"
Explanation :
Answer: B) Rs. 480 Explanation: Let the sum be Rs. P. Then, P1+252x1002-P= 510 P[982- 1] = 510. Sum = Rs. 1920 So, S.I. = (1920 x 25 x 2) / (2 x 100) = Rs. 480
Q: How many seconds will a 600 m long train take to cross a man walking with a speed of 7 km/hr in the direction of the moving train if the speed of the train is 67 km/hr ? 1280 05b5cc6dfe4d2b4197774eb20
5b5cc6dfe4d2b4197774eb20- 129 secfalse
- 258 secfalse
- 336 sectrue
- 444 secfalse
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Answer : 3. "36 sec"
Explanation :
Answer: C) 36 sec Explanation: Speed of train relative to man = 67 - 7 = 60 km/hr.= 60 x 5/18 = 50/3 m/sec. Time taken to pass the man = 600 x 3/50 = 36 sec.
Q: A mixture of 70 litres of Fruit Juice and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12.5% water ? 2160 05b5cc6dfe4d2b4197774eb1b
5b5cc6dfe4d2b4197774eb1b- 12 littrue
- 24 litfalse
- 31 litfalse
- 43 litfalse
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Answer : 1. "2 lit"
Explanation :
Answer: A) 2 lit Explanation: Quantity of fruit juice in the mixture = 70 - [70 x (10/100) ]= 63 litres. After adding water, juice would form 87.5% of the mixture. Hence, if quantity of mixture after adding x liters of water, [(87.5) /100 ]*x = 63 => x = 72 Hence 72 - 70 = 2 litres of water must be added.