Quantitative Aptitude Practice Question and Answer

Q: Find the next two numbers in the sequence 4, 12, 6, 18, 12, 26, 30, ?, ? 2034 0

  • 1
    36 & 90
    Correct
    Wrong
  • 2
    90 & 41
    Correct
    Wrong
  • 3
    45 & 36
    Correct
    Wrong
  • 4
    41 & 36
    Correct
    Wrong
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Answer : 1. "36 & 90"
Explanation :

Answer: A) 36 & 90 Explanation: the next 2 number in series we need to divide the series into 2 different series First series : 4 , 6, 12, 30 ?? Second Series : 12,18,26, ?? So we need to see for the pattern for those series in order to find the next two number , we can do this by finding the difference or division , multiplication logic whatever may apply :   Pattern of Series 1 :   6 divide 4 : 1.5 Next number i.e 12 divided by 6=2 Next number i.e 30 divided by 12 =2.5 So series is going in multiples of 1.5, 2, 2.5, 3 , so on So first series will look like 4 , 6, 12, 30, 30x3 =90   Pattern of Series 2 : 12,18,26, ??   Its simple Adding numbers with iterative logic (i.e 6, 8, then followed by 10, 12) Series will be like 12,18,26,36.   For the next two numbers : Series will be like 4, 12, 6, 18, 12, 26, 30, 36, 90

Q: Can yoy guess the Age of Karthik & Kalyan  ? 2034 0

  • 1
    68 & 44
    Correct
    Wrong
  • 2
    64 & 48
    Correct
    Wrong
  • 3
    58 & 54
    Correct
    Wrong
  • 4
    76 & 36
    Correct
    Wrong
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Answer : 2. "64 & 48"
Explanation :

Answer: B) 64 & 48 Explanation: Given Karthik + Kalyan = 112 Given that when karthik is at the age of kalyan he is twice of Kalyan's age i.e When he was 48 means Kalyan is at 24 => Present age of Kalyan is 48 And that of Karthik is 112 - 48 = 64

Q: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is  ? 2033 0

  • 1
    16/19
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    3/2
    Correct
    Wrong
  • 4
    17/20
    Correct
    Wrong
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Answer : 4. "17/20"
Explanation :

Answer: D) 17/20 Explanation: n(S) = 20n(Even no) = 10 = n(E)n(Prime no) = 8 = n(P)P(E U P) = 10/20 + 8/20 - 1/20 = 17/20

Q: A fair coin is tossed 11 times. What is the probability that only the first two tosses will yield heads ? 2033 0

  • 1
    (1/2)^11
    Correct
    Wrong
  • 2
    (9)(1/2)
    Correct
    Wrong
  • 3
    (11C2)(1/2)^9
    Correct
    Wrong
  • 4
    (1/2)
    Correct
    Wrong
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Answer : 1. "(1/2)^11"
Explanation :

Answer: A) (1/2)^11 Explanation: Probability of occurrence of an event,  P(E) = Number of favorable outcomes/Numeber of possible outcomes = n(E)/n(S) ⇒ Probability of getting head in one coin = ½,  ⇒ Probability of not getting head in one coin = 1- ½ = ½,  Hence,  All the 11 tosses are independent of each other. ∴ Required probability of getting only 2 times heads =122×129=1211

Q: A jogger running at 9 km/hr along side a railway track is 260 m ahead of the engine of a 140 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger ? 2032 0

  • 1
    25 sec
    Correct
    Wrong
  • 2
    40 sec
    Correct
    Wrong
  • 3
    38 sec
    Correct
    Wrong
  • 4
    32 sec
    Correct
    Wrong
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Answer : 2. "40 sec"
Explanation :

Answer: B) 40 sec Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.= 36 x 5/18 = 10 m/sec. Distance to be covered = 260 + 140 = 400 m. Time taken = 400/10 = 40 sec.

Q: The sum of one-half, one-third and one-fourth of a number exceeds the number by 22. The number is 2031 0

  • 1
    264
    Correct
    Wrong
  • 2
    284
    Correct
    Wrong
  • 3
    215
    Correct
    Wrong
  • 4
    302
    Correct
    Wrong
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Answer : 1. "264"
Explanation :

Answer: A) 264 Explanation: Let the number be 'x'. Then, from given data x/2 + x/3 + x/4 = x+2213x/12 = x+22x = 264

Q: Avanthi’s age is 1/6th of her father’s age. Her father’s age will be twice of Kapil’s age after 10 years. If Kapil’s eighth birthday was celebrated two years ago, then what is Avanthi’s present age ? 2026 0

  • 1
    6 years
    Correct
    Wrong
  • 2
    4 years
    Correct
    Wrong
  • 3
    7 years
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 4. "None"
Explanation :

Answer: D) None Explanation: As given Kapil's 8th birthday was celebrated 2 years ago, Kapil’s present age = 8 + 2 = 10 years. Father's age is twice of Kapil’s age after 10 years. => F + 10 = 2 (K + 10) = 2 (10+ 10)F = 30years, Avanthi's age =1/6(F) = 30/6 = 5 years.

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Answer : 1. "Rs. 9500"
Explanation :

Answer: A) Rs. 9500 Explanation: Given initial investments ratio = 2 : 3 : 4 At the end of 6 months, A invested an amount such that his total capital became equal to B's initial capital investment i.e, upto 6 months A's investment is 2 and after 6 months his invstment is 3 = B's investment Now, Ratio of investment for one year => A : B : C = (2×6 + 3×6) : (3×12) : (4×12) = 30 : 36 : 48 = 5 : 6 : 8 But given B's profit = 3000 => 6 ratio = 3000 For total => 19 ratio = Rs. 9500.

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