CAT Practice Question and Answer

Q: In a certain code language 'how many goals scored' is written as '5397'; 'many more matches' is written as '982'; and 'he scored five' is written as '163'. How is 'goals' written in that code language ? 7311 0

  • 1
    5
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    Data is not sufficient
    Correct
    Wrong
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Answer : 4. "Data is not sufficient"
Explanation :

Answer: D) Data is not sufficient Explanation: From the given data,how many goals scored = 5397....(1)many more matches = 982.....(2)he scored five = 163.....(3)from (1)&(2), many = 9 ....(4)from (1)&(3), scored = 3 ....(5)Using (4)&(5)in(1), we get goals = 5 or 7.

Q: Which is the next number in the sequence: 1, 3, 6, 11, 20, 37, ?? 7307 0

  • 1
    49
    Correct
    Wrong
  • 2
    56
    Correct
    Wrong
  • 3
    64
    Correct
    Wrong
  • 4
    70
    Correct
    Wrong
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Answer : 4. "70"
Explanation :

Answer: D) 70 Explanation: Here the given series is 1, 3, 6, 11, 20, 37, ??, and the logic behind the series is 1 x 2 + 1 = 3 3 x 2 + 0 = 6 6 x 2 + (-1) = 11 11 x 2 + (-2) = 20 20 x 2 + (-3) = 37 37 x 2 + (-4) = 70   Hence, the next number in the given series is 70.

Q: A cube is painted blue on two adjacent surfaces and black on the surfaces opposite to blue surfaces and green on the remaining faces .Now the cube is cut into 216 smaller cubes of equal size. 7291 0

  • 1
    56
    Correct
    Wrong
  • 2
    48
    Correct
    Wrong
  • 3
    32
    Correct
    Wrong
  • 4
    64
    Correct
    Wrong
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Answer : 4. "64"
Explanation :

Answer: D) 64 Explanation: We know that Cubes with no surface painted can be find using x-23, where x is number of cuttings. Here x=6.  ∴ 6-23=64

Q: Which two months in a year have the same calendar? 7239 0

  • 1
    October, December
    Correct
    Wrong
  • 2
    April, November
    Correct
    Wrong
  • 3
    June, October
    Correct
    Wrong
  • 4
    April, July
    Correct
    Wrong
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Answer : 4. "April, July"
Explanation :

Answer: D) April, July Explanation: If the period between the two months is divisible by 7, then that two months will have the same calender . Now,(a). October + November = 31 + 30 = 61 (not divisible by 7) (b). Apr. + May + June + July + Aug. + Sep. + Oct. = 30 + 31 + 30 + 31 + 31 +30 + 31 = 213 (not divisible by 7) (c). June + July + Aug. + Sep. = 30 + 31 + 31 + 30 = 122 (not divisible by 7) (d). Apr. + May + June = 30 + 31 + 30 = 91 (divisible by 7)   Hence, April and July months will have the same calendar.

Q: 45% of 750  -  25% of 480 = ? 7228 0

  • 1
    337.50
    Correct
    Wrong
  • 2
    217.50
    Correct
    Wrong
  • 3
    376.21
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
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Answer : 2. "217.50"
Explanation :

Answer: B) 217.50 Explanation: Given expression = (45 x 750/100) - (25 x 480/100) = (337.50 - 120) = 217.50

Q: For x∈N, x>1,  and  p=logxx+1, q=logx+1x+2 then which one of the following is correct? 7225 2

  • 1
    p < q
    Correct
    Wrong
  • 2
    p = q
    Correct
    Wrong
  • 3
    p > q
    Correct
    Wrong
  • 4
    can't be determined
    Correct
    Wrong
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Answer : 3. "p > q"
Explanation :

Answer: C) p > q Explanation: kl>k+1l+1 for (k,l) > 0 and  k > l        Let     k = x+1    and   l = x       Therefore, x+1x>(x+1)+1(x)+1        (x + 1) > x       Therefore, log(x+1)log(x)>log(x+2)log(x+1)       ⇒logxx+1 >logx+1x+2

Q: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold ? 7181 0

  • 1
    360 lit
    Correct
    Wrong
  • 2
    480 lit
    Correct
    Wrong
  • 3
    320 lit
    Correct
    Wrong
  • 4
    420 lit
    Correct
    Wrong
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Answer : 2. "480 lit"
Explanation :

Answer: B) 480 lit Explanation: 1/k - 1/20 = -1/24 k = 120 120 x 4 = 480 Therefore, the capacity of the cistern is 480 liters.

Q: Which region in India is known as the "Rice Bowl of India"? 7137 2

  • 1
    Indo-Gangetic plain
    Correct
    Wrong
  • 2
    Krishna-Godavari Delta region
    Correct
    Wrong
  • 3
    North-East region
    Correct
    Wrong
  • 4
    Kerala and Tamil Nadu
    Correct
    Wrong
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Answer : 2. "Krishna-Godavari Delta region"
Explanation :

Answer: B) Krishna-Godavari Delta region Explanation: In India, the Krishna-Godavari Delta region is called as "Rice Bowl of India".   Coming to the Indian State, Chhattisgarh is known as Rice Bowl of India.

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