CAT Practice Question and Answer

Q: What is the next number of the following sequence ? 21, 77, 165, 285, ...... 3087 0

  • 1
    404
    Correct
    Wrong
  • 2
    415
    Correct
    Wrong
  • 3
    426
    Correct
    Wrong
  • 4
    437
    Correct
    Wrong
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Answer : 4. "437"
Explanation :

Answer: D) 437 Explanation: The series follow the rule,   21 = 77 = 92-4165 = 132-4285 = 172-4 5,9,13,17,21,(+4)...In the same way next no. will be 212-4 = 441 - 4 = 437

Q: Describe a situation in which you had to arrive at a compromise or guide others to a compromise ? 3086 0

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Answer :
Explanation :

This question is designed to see how well you can mediate a situation and handle conflict. You want to come across as someone who can compromise when necessary. An interviewer wants to see that you can not only reach an outcome that is desirable for both sides of a conflict of interest, but also that you can understand where the other person is coming from. Empathy and understanding go a long way in any job and this is a good opportunity to show that you can put yourself in another’s shoes.

Q: A batsman scores 26 runs and increases his average from 14 to 15. Find the runs to be made if he wants top increasing the average to 19 in the same match ? 3084 0

  • 1
    74
    Correct
    Wrong
  • 2
    79
    Correct
    Wrong
  • 3
    72
    Correct
    Wrong
  • 4
    60
    Correct
    Wrong
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Answer : 1. "74"
Explanation :

Answer: A) 74 Explanation: Number of runs scored more to increse the ratio by 1 is 26 - 14 = 12To raise the average by one (from 14 to 15), he scored 12 more than the existing average.Therefore, to raise the average by five (from 14 to 19), he should score 12 x 5 = 60 more than the existing average. Thus he should score 14 + 60 = 74.

Q: How many 7 digit numbers can be formed using the digits 1, 2, 0, 2, 4, 2, 4? 3080 0

  • 1
    120
    Correct
    Wrong
  • 2
    360
    Correct
    Wrong
  • 3
    240
    Correct
    Wrong
  • 4
    424
    Correct
    Wrong
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Answer : 2. "360"
Explanation :

Answer: B) 360 Explanation: There are 7 digits 1, 2, 0, 2, 4, 2, 4 in which 2 occurs 3 times, 4 occurs 2 times.    Number of 7 digit numbers = 7!3!×2! = 420   But out of these 420 numbers, there are some numbers which begin with '0' and they are not 7-digit numbers. The number of such numbers beginning with '0'.   =6!3!×2! = 60   Hence the required number of 7 digits numbers = 420 - 60 = 360

Q: Find the odd man out in the following number series? 5, 4, 9, 32, 273 3080 0

  • 1
    4
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    32
    Correct
    Wrong
  • 4
    273
    Correct
    Wrong
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Answer : 3. "32"
Explanation :

Answer: C) 32 Explanation: The given number series follows 5, 4, 9, 32, 308 pattern that   5 5 x 1 - 1 = 4 4 x 3 - 3 = 9 9 x 5 - 5 = 40 (not equals to 32) 40 x 7 - 7 = 273   Hence, the odd man in the given number series is 32.

Q: Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ? 3079 0

  • 1
    Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840
    Correct
    Wrong
  • 2
    Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840
    Correct
    Wrong
  • 3
    Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840
    Correct
    Wrong
  • 4
    Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940
    Correct
    Wrong
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Answer : 1. "Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840"
Explanation :

Answer: A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840 Explanation: Initial investment of Ram = Rs.2500.After 2 months he withdraw Rs.1250 from his capital.Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months. Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months. And, Rakesh invested Rs.3500 for 3 months; Their investing ratio:Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42 Total profit for 6 months = Rs.2540Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800Raj's share = Rs.(2540 x 45/127) = Rs.900Rakesh's share = Rs.(2540 x 42/127) = Rs.840

Q: A bird lover was asked how many birds he had in the basket. He replied that there were all parrots but six, all pigeons but six, and all koel but six. How many birds he had in the basket in all ? 3076 0

  • 1
    8
    Correct
    Wrong
  • 2
    18
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 3. "9"
Explanation :

Answer: C) 9 Explanation: There were all parrots but six means that six birds were not parrots but only pigeons and koels. Similarly, number of parrots + number of koels = 6 and number of parrots + number of pigeons = 6. This is possible when there are 3 parrots, 3 pigeons and 3 koels i.e. 9 birds in all.

Q: In these series, you will be looking at both the letter pattern and the number pattern. Fill the blank in the middle of the series or end of the series.SCD, TEF, UGH, ____, WKL 3073 0

  • 1
    UJI
    Correct
    Wrong
  • 2
    VIJ
    Correct
    Wrong
  • 3
    XLM
    Correct
    Wrong
  • 4
    DOP
    Correct
    Wrong
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Answer : 2. "VIJ"
Explanation :

Answer: B) VIJ Explanation: First letter series S,T,U,Vsecond and third letter series CD,EF,GH,IJ...so answer = VIJ

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