Quantitative Aptitude Practice Question and Answer
8Q: Two trains are running at 60 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 6 seconds. What is the length of the fast train ? A. 6623 mts B. 6632 mts C.6345 mts D. 6354 mts 1712 05b5cc76fe4d2b4197774ff44
5b5cc76fe4d2b4197774ff44- 1Option Atrue
- 2Option Bfalse
- 3Option Cfalse
- 4Option Dfalse
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Answer : 1. "Option A"
Explanation :
Answer: A) Option A Explanation: As Trains are moving in same direction, Relative Speed = 60-20 = 40 kmph --> 40×518=1009 m/sec Length of Train= Speed * Time Length = 1009×6 ⇒2003=6623 mts
Q: Find the total numbers greater than 4000 that can be formed with digits 2, 3, 4, 5, 6 no digit being repeated in any number ? 1712 05b5cc6cde4d2b4197774e1db
5b5cc6cde4d2b4197774e1db- 1120false
- 2256false
- 3192true
- 4244false
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Answer : 3. "192"
Explanation :
Answer: C) 192 Explanation: We are having with digits 2, 3, 4, 5 & 6 and numbers greater than 4000 are to be formed, no digit is repeated. The number can be 4 digited but greater than 4000 or 5 digited. Number of 4 digited numbers greater than 4000 are4 or 5 or 6 can occupy thousand place => 3 x P34 = 3 x 24 = 72. 5 digited numbers = P55 = 5! = 120 So the total numbers greater than 4000 = 72 + 120 = 192
Q: A person lends Rs. 1540 for five years and Rs. 1800 for four years. If he gets Rs. 1788 as interest on both amounts, what is the rate of interest ? 1709 05b5cc6c8e4d2b4197774deec
5b5cc6c8e4d2b4197774deec- 114.5%false
- 211%false
- 312%true
- 410.5%false
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Answer : 3. "12%"
Explanation :
Answer: C) 12% Explanation: Let the interest rate be r% We know that, S.I = PTR/100 => (1540 x 5 x r)/100 + (1800 x 4 x r)/100 = 1788 => r = 178800/14900 = 12%
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 ? 1709 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: The cost price of 40 Magazines is the same as the selling price of 'P' articles. If the profit is 25%, then the value of 'P' is: 1708 05b5cc76ae4d2b4197774fe4f
5b5cc76ae4d2b4197774fe4f- 132true
- 240false
- 316false
- 430false
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Answer : 1. "32"
Explanation :
Answer: A) 32 Explanation: Let C.P. of each Magazine be Rs. 1 C.P. of P articles = Rs. P. S.P. of P articles = Rs. 40. Profit = Rs. (40 - P) Now, Gain% = ProfitC.P×100 = 40-PP×100 Here 40-PP×100= 25 -->P = 32.
Q: A person walking 6/7 of his usual rate is 30 minutes late. What is his usual time ? 1708 05b5cc720e4d2b4197774f62c
5b5cc720e4d2b4197774f62c- 12 hrs 50 minfalse
- 23 hrs 25 minfalse
- 33 hrstrue
- 42 hrs 5 minfalse
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Answer : 3. "3 hrs"
Explanation :
Answer: C) 3 hrs Explanation: Let t be the usual time. If the usual rate is 1 unit, then the unusual rate is 6/7.Balance by the distance,1 x t = (6/7)(t + 30)7t = 6(t + 30)we get t as,t = 180 minutes = 3 hrs.
Q: The difference between two numbers is 3355. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number and larger number respectively ? 1708 05b5cc754e4d2b4197774fb81
5b5cc754e4d2b4197774fb81- 1546, 3901false
- 2415, 3770false
- 3668, 4023true
- 4404, 3759false
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Answer : 3. "668, 4023"
Explanation :
Answer: C) 668, 4023 Explanation: Let the smaller number be k.Then, larger number = (3355 + k)Therefore 3355 + k = (6k + 15)‹=› 5k = 3340‹=› k = 668. Therefore, the smaller number k = 668 and now the larger number = 3355+668 = 4023.
Q: Some children goto ice-cream shop. 9 flavours are available there. Each child takes a cone with two different flavours. No two children take same combination and they have taken all such possible combinations. How many children went to ice cream shop ? 1707 05b5cc70ee4d2b4197774f36a
5b5cc70ee4d2b4197774f36a- 128false
- 256false
- 344false
- 436true
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Answer : 4. "36"
Explanation :
Answer: D) 36 Explanation: Given there are 9 flavours of ice creams. Each child takes the combination of two flavours and no two children will have the same combination This can be done by ways i.e children. Number of children=C29 = 9 x 8 / 1x 2 = 36.