Quantitative Aptitude Practice Question and Answer

Q: Ten years ago, Kumar was thrice as old as Sailesh was but 10 years hence, he will be only twice as old. Find Kumar’s present age ? 3554 0

  • 1
    50 years
    Correct
    Wrong
  • 2
    70 years
    Correct
    Wrong
  • 3
    60 years
    Correct
    Wrong
  • 4
    40 years
    Correct
    Wrong
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Answer : 2. "70 years"
Explanation :

Answer: B) 70 years Explanation: Let Kumar’s present age be "x" years and Sailesh’s present age be "y" years.Then, according to the first condition, x - 10 = 3(y - 10) => x - 3y = - 20 ........(1) Now, Kumar’s age after 10 years = (x + 10) years. Sailesh’s age after 10 years = (y + 10) years. (x + 10) = 2 (y + 10)  => x - 2y = 10 ......(2)   Solving (1) and (2), we get x = 70 and y = 30 Kumar’s present age = 70 years    and  Sailesh’s present age = 30 years.

Q: If 6 engines consume 24 metric tonnes of coal, when each is working 8 hours day, how much coal will be required for 9 engines, each running 13hours a day, it being given that 2 engines of former type consume as much as 3 engines of latter type ? 3523 0

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    45 metric tonnes
    Correct
    Wrong
  • 2
    47 metric tonnes
    Correct
    Wrong
  • 3
    55 metric tonnes
    Correct
    Wrong
  • 4
    34 metric tonnes
    Correct
    Wrong
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Answer : 1. "45 metric tonnes"
Explanation :

Answer: A) 45 metric tonnes Explanation: 2 engines of former type for one hour consumes (2 x 24)/(6 x8) = 1 metric ton  i.e. 3 engines of latter type consumes 1 ton for one hour Hence 9 engines consumes 3 tons for one hour For 15 hours it is 15 x 3 = 45 metric tonnes.

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Answer : 4. "31"
Explanation :

Answer: D) 31 Explanation: Let y be the total number of loavesa be the remaining loaves after 1st thiefb be the remaining loaves after 2nd thiefand c, d..so on after 3 and 4 the = 0 be the remaining loaves after 5th thief a = y - (y/2 + 1/2)= y/2 - 1/2 b = a - (a/2 + 1/2)= a/2 - 1/2 c = b - (b/2 + 1/2)= b/2 - 1/2 d = c - (c/2 + 1/2)= c/2 - 1/2 e = d - (d/2 + 1/2)= d/2 - 1/2we know that, e = 0,thus by substitution, we getd = 1c = 3b = 7a = 15y = 31Therefore total number of bread loaves in bakery was 31.

Q: Find the odd one out of the following options. 3502 0

  • 1
    Sapphire
    Correct
    Wrong
  • 2
    Ruby
    Correct
    Wrong
  • 3
    Topaz
    Correct
    Wrong
  • 4
    Granite
    Correct
    Wrong
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Answer : 4. "Granite"
Explanation :

Answer: D) Granite Explanation: Except Granite all other options belong to the group of precious stones.

Q: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m ? 3487 0

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    127.5 m
    Correct
    Wrong
  • 2
    254 m
    Correct
    Wrong
  • 3
    184 m
    Correct
    Wrong
  • 4
    212 m
    Correct
    Wrong
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Answer : 1. "127.5 m"
Explanation :

Answer: A) 127.5 m Explanation: When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m. When B runs 900 m, distance that C runs = (900 x 700)/800 = 6300/8 = 787.5 m. In a race of 1000 m, A beats C by (1000 - 787.5) = 212.5 m to C. In a race of 600 m, the number of meters by which A beats C = (600 x 212.5)/1000 = 127.5 m.

Q: A man spend Rs. 810 in buying trouser at Rs. 70 each and shirt at Rs. 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased ? 3478 0

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    1:3
    Correct
    Wrong
  • 2
    2:1
    Correct
    Wrong
  • 3
    3:2
    Correct
    Wrong
  • 4
    2:3
    Correct
    Wrong
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Answer : 3. "3:2"
Explanation :

Answer: C) 3:2 Explanation: Let us assume S as number of shirts and T as number of trousersGiven that each trouser cost = Rs.70 and that of shirt = Rs.30Therefore, 70 T + 30 S = 810=> 7T + 3S = 81......(1)T = ( 81 - 3S )/7 We need to find the least value of S which will make (81 - 3S) divisible by 7 to get maximum value of TSimplifying by taking 3 as common factor i.e, 3(27-S) / 7In the above equation least value of S as 6 so that 27- 3S becomes divisible by 7 Hence T = (81-3xS)/7 = (81-3x6)/7 = 63/7 = 9 Hence for S, put T in eq(1), we getS = 81-7(9)/3 = 81-63 / 3 = 18/3 = 6.The ratio of T:S = 9:6 = 3:2.

Q: P and Q can complete a job in 24 days working together. P alone can complete it in 32 days. Both of them worked together for 8 days and then P left. The number of days Q will take to complete the remaining work is ? 3468 0

  • 1
    56 days
    Correct
    Wrong
  • 2
    54 days
    Correct
    Wrong
  • 3
    60 days
    Correct
    Wrong
  • 4
    64 days
    Correct
    Wrong
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Answer : 4. "64 days"
Explanation :

Answer: D) 64 days Explanation: (P+Q)'s 1 day work = 1/24 P's 1 day work = 1/32 => Q's 1 day work = 1/24 - 1/32 = 1/96 Work done by (P+Q) in 8 days = 8/24 = 1/3 Remainining work = 1 - 1/3 = 2/3 Time taken by Q to complete the remaining work = 2/3 x 96 = 64 days.

Q: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ? 3463 0

  • 1
    145
    Correct
    Wrong
  • 2
    165
    Correct
    Wrong
  • 3
    175
    Correct
    Wrong
  • 4
    135
    Correct
    Wrong
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Answer : 3. "175"
Explanation :

Answer: C) 175 Explanation: Given that,  working days = 5  working hours = 8  A man get rupess per hour is Rs.2.40  So in one day the man get total rupees is 2.40 x 8 = 19.2  So in 5 days week the man get total rupees is 19.2 x 5 = 96  So in 4 week the man get total rupees is 96 x 4 = 384  So the man worked for = 160hours in 4 weeks    But given that the man earned Rs.432    Hence remaning money is (432-384 = 48)which is earn by doing overtime work   Overtime hours  = 48/3.20 = 15 So total worked hours is = 15 + 160 = 175.

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