Quantitative Aptitude Practice Question and Answer

Q: Three strategies P, Q and R have been initiated for cost cutting in a company producing respectively 20%, 30% and 10% savings. Assuming that they operate independently, what is the net saving achieved ? 1876 0

  • 1
    49.6%
    Correct
    Wrong
  • 2
    50.4%
    Correct
    Wrong
  • 3
    33.67%
    Correct
    Wrong
  • 4
    66.66%
    Correct
    Wrong
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Answer : 1. "49.6%"
Explanation :

Answer: A) 49.6% Explanation: As these three strategies P, Q and R are independent so these will cut cost one after the other.If initial cost is Rs 100, then20% cost is cut after initializing strategy P, then cost will remain 80% = 80further 30% cost is cut after strategy Q, then cost will remain 70% of 80 = 56further 10% cost is cut after strategy R, then cost will remain 90% of 56 = 50.4 Thus final cost remains 50.4 % of the original cost. Hence net saving is 100 - 50.4 = 49.6 %.

Q: If (2a + 3b)/(5a - 3b) = 23/5 , then the value of ba is ? 1872 0

  • 1
    5
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    20
    Correct
    Wrong
  • 4
    28
    Correct
    Wrong
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Answer : 3. "20"
Explanation :

Answer: C) 20 Explanation: Given (2a + 3b)/(5a - 3b) = 23/5 => 10a + 15b = 115a - 69b=> 105a = 84b => 5a = 4b a/b = 4/5 => a=4 & b=5=> bxa = 5x4 = 20.

Q: A passenger train covers the distance between station K and L, 40 minutes faster than a goods train. Find this distance between K and L if the average speed of the passenger train is 50 km/h and that of goods train is 30 km/h? 1868 0

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    50 kms
    Correct
    Wrong
  • 2
    48 kms
    Correct
    Wrong
  • 3
    46 kms
    Correct
    Wrong
  • 4
    44 kms
    Correct
    Wrong
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Answer : 1. "50 kms"
Explanation :

Answer: A) 50 kms Explanation: Let the distance be 'd' kms. According to the given data, d30 - d50 = 4060 hrs=> 6d = 300=> d = 50 kms.

Q: Given that 100.48 = x,  100.70 = y and xz = y2,  then the value of z is close to ___ ? 1866 0

  • 1
    3.7
    Correct
    Wrong
  • 2
    2.7
    Correct
    Wrong
  • 3
    3.6
    Correct
    Wrong
  • 4
    2.9
    Correct
    Wrong
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Answer : 4. "2.9"
Explanation :

Answer: D) 2.9 Explanation: xz = y2        10(0.48z) = 10(2 x 0.70) = 101.40  0.48z = 1.40  z = 140/18 = 35/12 = 2.9 (approx.)

Q: Rajitha's present age is three years less than twice her age 12 years ago. Also, the ratio of Raj's present age to Rajitha's present age is 4:9. What will be Raj's age after 5 years ? 1866 0

  • 1
    17 yrs
    Correct
    Wrong
  • 2
    16 yrs
    Correct
    Wrong
  • 3
    19 yrs
    Correct
    Wrong
  • 4
    21 yrs
    Correct
    Wrong
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Answer : 1. "17 yrs"
Explanation :

Answer: A) 17 yrs Explanation: Let the present age of Raj and Rajitha be 4x and 9x.Then, according to question,9x = 2(9x-12)-3 => 9x = 27 => x = 3Raj's present age = 4x = 12yrs, After 5 years Raj's age will be 12 + 5 = 17 yrs.

Q: A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is : 1865 0

  • 1
    9.5 km/hr
    Correct
    Wrong
  • 2
    10 km/hr
    Correct
    Wrong
  • 3
    10.5 km/hr
    Correct
    Wrong
  • 4
    11 km/hr
    Correct
    Wrong
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Answer : 2. "10 km/hr"
Explanation :

Answer: B) 10 km/hr Explanation: Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr. Therefore,  Man's rate against the current = (12.5 - 2.5) = 10 km/hr.

Q: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned  ? 1864 0

  • 1
    Rs. 11828.80
    Correct
    Wrong
  • 2
    Rs. 19828.80
    Correct
    Wrong
  • 3
    Rs. 9828.80
    Correct
    Wrong
  • 4
    Rs. 19328.80
    Correct
    Wrong
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Answer : 2. "Rs. 19828.80"
Explanation :

Answer: B) Rs. 19828.80 Explanation: Let the sum be Rs. P P{ 1+81002- 1 } = 2828.80   It is in the form of  a2-b2 = a+ba-b   P(8/100)(2 + 8/100) = 2828.80   P = 2828.80 / (0.08)(2.08)   = 1360/0.08 = 17000   Principal + Interest = Rs. 19828.80

Q: Two trains 85 m and 75 m long are running in same direction with speeds of 62 km/hr and 44 km/hr respectively. In what time will the first train cross the second train ? 1862 1

  • 1
    22 sec
    Correct
    Wrong
  • 2
    32 sec
    Correct
    Wrong
  • 3
    42 sec
    Correct
    Wrong
  • 4
    52 sec
    Correct
    Wrong
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Answer : 2. "32 sec"
Explanation :

Answer: B) 32 sec Explanation: Given that, 1st train speed = 62 km/hr  2nd train speed  = 44 km/hr Hence the relative speed of two trains is : 62-44 = 18 km/hr = 18×518 m/s = 5 m/s. There fore, the first train crosses the second train i.e (85+75)mts of distance with a speed of 5m/s in,    time = distancespeed = 85+755 = 32 sec.

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