Quantitative Aptitude Practice Question and Answer
8Q: When Raj Tarun was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Raj Tarun's brother is 6 years older than Raj Tarun and his mother is 3 years younger than his father, how old was Raj Tarun's sister when Raj Tarun was born ? 2869 05b5cc74ae4d2b4197774fa6d
5b5cc74ae4d2b4197774fa6d- 15false
- 210true
- 315false
- 48false
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Answer : 2. "10"
Explanation :
Answer: B) 10 Explanation: Raj Tarun's age = 0 when he was born.Then, given his brother is 6 years old.Then his father is 6 + 32 = 38 when Raj Tarun was bornAnd his mother is 3 years yonger than his father => so his mother was 35 years old when Raj Tarun was bornand his sister is 25 year younger than his mother so Raj Tarun's sister was 10 years old when Raj Tarun was born.
Q: How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even ? 2869 05b5cc731e4d2b4197774f7bf
5b5cc731e4d2b4197774f7bf- 1521false
- 2720true
- 3420false
- 4225false
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Answer : 2. "720"
Explanation :
Answer: B) 720 Explanation: Let last digit is 2when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.so for last digit = 2, total numbers=240 Similarly for 4 and 6When last digit = 4, total no. of ways =240and last digit = 6, total no. of ways =240so total of 720 even numbers are possible.
Q: Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit ? 2866 05b5cc6f1e4d2b4197774ef44
5b5cc6f1e4d2b4197774ef44- 1Rs. 17.80false
- 2Rs. 16.30true
- 3Rs. 14false
- 4Rs. 15.40false
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Answer : 2. "Rs. 16.30"
Explanation :
Answer: B) Rs. 16.30 Explanation: C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630. S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819. S.P. per kg = 819/50 = Rs. 16.38 = 16.30.
Q: 6 men can complete a piece of work in 12 days. 8 women can complete the same piece of work in 18 days whereas 18 children can complete the piece of work in 10 days. 4 men, 12 women and 20 children work together for 2 days. If only men were to complete the remaining work in 1 day how many men would be required totally? 2865 05b5cc6ade4d2b4197774d125
5b5cc6ade4d2b4197774d125- 138false
- 272false
- 336true
- 476false
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Answer : 3. "36"
Explanation :
Answer: C) 36 Explanation: Given 4men, 12 women and 20 children work for 2 days. Workdone for 2 days by 4men, 12 women and 20 children = 4 x 26 x 12 + 12 x 28 x 18 + 20 x 218 x 10 = 12 Therefore, remaining work = 1 - 12 = 12 To complete the same work by only men in 1 day, We know that M1 x D1 = M2 x D2 Here M1 = 6 , D1 = 12 and M2 = M , D2 = 1 12 x 6 = M x 1 => M = 12 x 6 = 72 => But the remaining work = 1/2 Men required => 1/2 x 72 = 36 Only men required to Complete the remaining work in 1 day = 36.
Q: A,B and C enter into a partnership in the ratio 72:43:65. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is : 2862 05b5cc783e4d2b419777501ec
5b5cc783e4d2b419777501ec- 1Rs. 4000true
- 2Rs. 6000false
- 3Rs. 9000false
- 4Rs. 3000false
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Answer : 1. "Rs. 4000"
Explanation :
Answer: A) Rs. 4000 Explanation: Given ratio of initial investments = 72:43:65 = 105 : 40 : 36. Let the initial investments be 105x, 40x and 36x. ∴A:B:C = 105x×4 + 150100×105x×8 : 40x×12 : 36x×12 = 1680x : 480x : 432x = 35 : 10 : 9. Hence, B's share = 21600×1054 = Rs. 4000.
Q: If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ? 2859 05b5cc6dde4d2b4197774e9dd
5b5cc6dde4d2b4197774e9dd- 118 : 24 : 11false
- 29 : 15 : 1false
- 320 : 15 : 9true
- 421 : 7 : 3false
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Answer : 3. "20 : 15 : 9"
Explanation :
Answer: C) 20 : 15 : 9 Explanation: Given k : l = 4 : 3l : m = 5 : 3 Then k : l : m = 20 : 15 : 9
Q: Rajan's present age is three times his daughter's and nine-thirteenth of his mother's present age. The sum of the present ages of all three of them is 125 years. What is the difference between the present ages of Rajan's daughter and Rajan's mather ? 2854 05b5cc72ce4d2b4197774f773
5b5cc72ce4d2b4197774f773- 132 yearsfalse
- 248 yearsfalse
- 362 yearsfalse
- 450 yearstrue
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Answer : 4. "50 years"
Explanation :
Answer: D) 50 years Explanation: Let Rajan's present age be 'x' years.=> Then his daughter's present age is = x/3 years.His mother's present age = 13x/9 yearsNow, according to the question,x + x/3 + 13x/9 = 125=> x = 125x9/25 = 45Therefore, required difference = 13x/9 - x/3 = 13x - 3x/9 = 10x/9=> 10 x 45/9 = 50 years.
Q: The average speed of a train is 3 times the average speed of car. The car covers a distance of 520 km in 8 hours. How much distance will the train cover in 13 hours?
2854 05d4aa50111160f2052371686
5d4aa50111160f2052371686- 12553 kmfalse
- 22585 kmfalse
- 32355 kmfalse
- 42535 kmtrue
- 5None of thesefalse
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Answer : 4. "2535 km"
Explanation :
Train Car
3 1
Speed of car is =520/8=65km/h
so that speed of train = 65*3=195 km/hour
Distance covered by train=speed*time=195*13=2535 km