Quantitative Aptitude Practice Question and Answer
8Q: 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 ? 2654 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 ? 2650 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: Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ? 2649 05b5cc71be4d2b4197774f50d
5b5cc71be4d2b4197774f50d- 125 yearsfalse
- 224 yearsfalse
- 323 yearstrue
- 422 yearsfalse
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Answer : 3. "23 years"
Explanation :
Answer: C) 23 years Explanation: Ayush's present age = 10 years.His mother's present age = (10 + 20) years = 30 years.Ayush's father's present age = (30 + 5) years = 35 years.Ayush's father's age at the time of Ayush's birth = (35 - 10) years = 25 years. Therefore Ayush's father's age at the time of marriage = (25 - 2) years = 23 years.
Q: Sushma joins a job at 20 yrs. First 3 years salary is 10,000 p.a. Afterwards every year increment of 2,000 per year for 10 years. Then salary becomes constant till retirement. At retirement average salary is 25,000. (throughout career). At what age Sushma retires ? 2648 05b5cc711e4d2b4197774f3be
5b5cc711e4d2b4197774f3be- 150 yrstrue
- 247 yrsfalse
- 345 yrsfalse
- 442 yrsfalse
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Answer : 1. "50 yrs"
Explanation :
Answer: A) 50 yrs Explanation: Let age of retirement = Sso according to the given condition 25000(x-20)=10000 x 3 + 12000 + 14000 + 16000 + 18000 + 20000 + 22000 + 24000 + 26000 + 28000 + 30000 + 30000(S-33)= 30000 + 210000 + 30000S-990000= 30000S - 750000or 25000S - 500000 = 30000x - 750000or 5000x = 250000or S = 50 yrs.
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 ? 2647 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: Find the least number with which 16200 should be multiplied, to make it a perfect cube ? 2639 05b5cc6eee4d2b4197774eec3
5b5cc6eee4d2b4197774eec3- 145true
- 248false
- 3360false
- 436false
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Answer : 1. "45"
Explanation :
Answer: A) 45 Explanation: 16200 = 23×34×52 A perfect cube has a property of having the indices of all its prime factors divisible by 3. Required number = 32×5 = 9x5 = 45.
Q: If a number 72k23l is divisible by 88. Then find value of k and l ? 2634 05b5cc745e4d2b4197774fa36
5b5cc745e4d2b4197774fa36- 1k=8 & l=2false
- 2k=7 & l=2true
- 3k=8 & l=3false
- 4k=7 & l=1false
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Answer : 2. "k=7 & l=2"
Explanation :
Answer: B) k=7 & l=2 Explanation: If a number to be divisile by 88, it should be divisible by both "8" and "11" Check for '8' :For a number to be divisible by "8", the last 3-digit should be divisible by "8"Here 72x23y --> last 3-digit is '23y'So y=2 [ (i.e) 232 is absolutely divisible by "8"] Chech for '11' :For a number to be divisible by "11" , sum of odd digits - sum of even digits should be divisible by "11"(7 + x + 3) - (2 + 2 + y)(7 + x + 3) - (2 + 2 + 2)(10 + x) - 6 should be divisible by "11"for x = 7=> 17 - 6 = 11 [ which is absolutely divisible by "11"] So x = 7 , y= 2.
Q: 40% of 265 + 35% of 180 = 50% of ? 2625 05b5cc75ce4d2b4197774fc57
5b5cc75ce4d2b4197774fc57- 1383false
- 2338true
- 384.5false
- 4253.5false
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Answer : 2. "338"
Explanation :
Answer: B) 338 Explanation: We know that 40% = 25 40% of 265 + 35% of 180 = 50% ? 25 x 265 + 35% of 180 = 50% ? We know that (35% of 180 = 180% of 35) & 180% = 95 25 x 265 + 95 x 35 = 50% ? 106 + 63 = 50% ? ?= 2 x 169 = 338.