Quantitative Aptitude Practice Question and Answer
8Q: If a girl cycles at 10 kmph, then she arrives at a certain place at 1 p.m. If she cycles at 15 kmph, she will arrive at the same place at 11 a.m. At what speed must she cycle to get there at noon? 1511 05b5cc6bfe4d2b4197774da42
5b5cc6bfe4d2b4197774da42- 114 kmphfalse
- 213 kmphfalse
- 312 kmphtrue
- 411 kmphfalse
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Answer : 3. "12 kmph"
Explanation :
Answer: C) 12 kmph Explanation: The distance is constant in this case. Let the time taken for travel with a speed of 10 kmph be 't'. Now the speed of 15 kmph is 3/2 times the speed of 10 kmph. Therefore, time taken with the speed of 15 kmph will be 2t/3 (speed is inversely proportional to time) Extra time taken = t - 2t/3 = t/3 => 1pm - 11am = 2hrs => t/3 = 2h => t = 6 hrs. Now, Distance = speed x time = 10 x 6 = 60 kms Time he takes to reach at noon = 6 - 1 = 5 hrs Now, Speed = 60/5 = 12 kmph.
Q: The compound interest on a certain sum for 2 years at 10% per annum is Rs. 1155. The simple interest on the same sum for double the time at half the rate percent per annum is ? 1509 15b5cc767e4d2b4197774fdfc
5b5cc767e4d2b4197774fdfc- 1Rs. 1100true
- 2Rs. 5500false
- 3Rs. 1400false
- 4Rs. 4120false
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Answer : 1. "Rs. 1100"
Explanation :
Answer: A) Rs. 1100 Explanation: Let the sum be Rs.x. Then, x1+101002-x=1155 ⇒x11102-1=1155 => x =5500 sum = Rs. 5500. So, S.I = Rs. 5500×5×4100 = 1100
Q: A shopkeeper who deals in books sold a book at 16% loss. Had she charged an additional Rs.60 while selling it , her profit would have been 14%. Find the cost price, in rupees, of the book ? 1509 05b5cc723e4d2b4197774f677
5b5cc723e4d2b4197774f677- 1Rs. 185false
- 2Rs. 154false
- 3Rs. 200true
- 4Rs. 177false
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Answer : 3. "Rs. 200"
Explanation :
Answer: C) Rs. 200 Explanation: Let the C.P be 'x'Then, the selling price S.P = x - 16x/100= 84x/100 = 21x/25Now, if the S.P is 60 more, then the profit is 14% => 21x/25 + 60 = x + 14x/100=> 114x/100 - 21x/25 = 60=> (57 - 42)x/50 = 60=> 15x/50 = 60x = 3000/15 = 200 Therefore, the Cost price C.P = x = Rs. 200
Q: In how many ways can letter of the word RAILINGS arrange so that R and S always come together? 1508 05b5cc6b9e4d2b4197774d6a8
5b5cc6b9e4d2b4197774d6a8- 11260false
- 22520false
- 35040true
- 41080false
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Answer : 3. "5040"
Explanation :
Answer: C) 5040 Explanation: The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2! But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.
Q: The length of a brigade which a train 130 m long and traveling at 45kmph can cross in 30 seconds, is 1507 05b5cc6d9e4d2b4197774e80c
5b5cc6d9e4d2b4197774e80c- 1196 mtsfalse
- 2220 mtsfalse
- 3230 mtsfalse
- 4245 mtstrue
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Answer : 4. "245 mts"
Explanation :
Answer: D) 245 mts Explanation: Let the length of the brigade is x mtsThen Distance = 130 + x mtsgiven speed = 45 kmph = 45 x5/18 m/sTime = 30 secT = D/S => 30 = 130+x/(45x5/18)=> x = 245 mts.
Q: The ratio between the number of sheep and the number of horses at the Stewar farm is 4 to 15. If each of horse is fed 110 ounces of horse food per day and the farm needs a total 13200 ounces of horse food per day. what is number sheep in the form ? 1507 05b5cc754e4d2b4197774fb7c
5b5cc754e4d2b4197774fb7c- 132true
- 236false
- 344false
- 452false
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Answer : 1. "32"
Explanation :
Answer: A) 32 Explanation: Given ratio of number of sheep and horses = 4 : 15Let number of sheep and horses are 4k and 15k Number of horses = 13200/110 = 120 Now 15K = 120 and k = 8 Number of sheep = 4k = (4 x 8) = 32
Q: What is 70 of 50? 1507 05b5cc675e4d2b4197774c13e
5b5cc675e4d2b4197774c13e- 135true
- 238false
- 342false
- 444false
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Answer : 1. "35"
Explanation :
Answer: A) 35 Explanation: what is 70 of 50 means 70% of 50 ⇒70 x 50100= 7 x 5= 35 Hence, 70 of 50 is 35.
Q: Simplify 2392-21+8-72=?2 1505 05b5cc6b9e4d2b4197774d775
5b5cc6b9e4d2b4197774d775- 14false
- 25false
- 36true
- 49false
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Answer : 3. "6"
Explanation :
Answer: C) 6 Explanation: ?2 = 2×78-21+8+49-148= 57 - 21=36=> ? = ±6