CAT Practice Question and Answer

Q: Find the odd one out of the following number series? 9 5 6 14 56 488 2884 0

  • 1
    56
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    14
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 1. "56"
Explanation :

Answer: A) 56 Explanation: The given number series follows a pattern that, 9 9 x 0.5 + 0.5 = 5 5 x 1 + 1 = 6 6 x 2 + 2 = 14 14 x 4 + 4 = 60 (not equals to 56) 60 x 8 + 8 = 488.   Hence, the odd one in the given number series is 56.

Q: Sum of the ages of Rajesh, Suresh, Mahesh and Dinesh is 76 years. 7 years hence, their age ratio is 7:6:5:8. Find Mahesh’s present age ? 2883 0

  • 1
    17 years
    Correct
    Wrong
  • 2
    13 years
    Correct
    Wrong
  • 3
    14 years
    Correct
    Wrong
  • 4
    16 years
    Correct
    Wrong
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Answer : 2. "13 years"
Explanation :

Answer: B) 13 years Explanation: Given R + S + M + D = 76 => R+7 : S+7 : M+7 : D+7 = 7:6:5:8 => Let the ratio = x => M+7 = 5x => M = 5x-7 => R = 7x-7 => S = 6x-7 => D = 8x-7 => R + S + M + D = 76 => 7x-7 + 6x-7 + 5x-7 + 8x-7 = 76 => 26x - 28 = 76 => 26x = 104 => x = 4 => Mahesh's present age = 5x-7 = 20 - 7 = 13 years.

Q: Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x ? 2874 0

  • 1
    11.8
    Correct
    Wrong
  • 2
    12.9
    Correct
    Wrong
  • 3
    13.7
    Correct
    Wrong
  • 4
    14.5
    Correct
    Wrong
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Answer : 4. "14.5"
Explanation :

Answer: D) 14.5 Explanation: Let the present ages of Mahesh, Nilesh and Ramesh be k, l and m respectively.k/l = 5/x ------ (1)k = m - 18 ------ (2)m + 9 = 47 ------ (3)k - l = m ----- (4)(3) => m = 47 - 9 = 38 years(2) => k = 38 -18 = 20 years(1) => 20/l = 5/x => l = 4x(4) => 4x - 20 = 38=> 4x = 58 => x = 14.5

Q: A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's husband age is ? 2872 0

  • 1
    45
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    42
    Correct
    Wrong
  • 4
    54
    Correct
    Wrong
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Answer : 4. "54"
Explanation :

Answer: D) 54 Explanation: By trial and error method from the given options, as 54 - 45 =  (1/11) x (45+54)  = 99/11  = 9 Hence this satisfies the given conditions. Then the woman's husband age is 54.

Q: Find the odd man out in the following number series? 5, 4, 9, 32, 273 2865 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: Programs stored in ROM are called 2863 1

  • 1
    Hardware
    Correct
    Wrong
  • 2
    Firmware
    Correct
    Wrong
  • 3
    Freeware
    Correct
    Wrong
  • 4
    Software
    Correct
    Wrong
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Answer : 2. "Firmware"
Explanation :

Answer: B) Firmware Explanation: The programs which are as permanent as hardware and stored in ROM are known as Firmware.   Data stored in ROM can only be modified slowly, with difficulty, or not at all, so it is mainly used to store firmware (software that is closely tied to specific hardware, and unlikely to need frequent updates) or application software in plug-in cartridges.

Q: The number of permutations of the letters of the word 'MESMERISE' is  ? 2861 0

  • 1
    9!/(2!)^{2}x3!
    Correct
    Wrong
  • 2
    9! x 2! x 3!
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 1. "9!/(2!)^{2}x3!"
Explanation :

Answer: A) 9!/(2!)^{2}x3! Explanation: n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.The letter pattern 'MESMERISE' consists of 10 letters of which there are 2M's, 3E's, 2S's and 1I and 1R.Number of arrangements = 9!(2!)2×3!

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Answer : 4. "9:1"
Explanation :

Answer: D) 9:1 Explanation: Milk = 3/5 x 20 = 12 liters, water = 8 liters   If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.   Remaining milk = 12 - 6 = 6 liters Remaining water = 8 - 4 = 4 liters   10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.   The ratio of milk and water in the new mixture = 16:4 = 4:1   If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 x 10 = 8 liters.   Amount of water removed = 2 liters.   Remaining milk = (16 - 8) = 8 liters. Remaining water = (4 -2) = 2 liters.   Now 10 lts milk is added => total milk = 18 lts   The required ratio of milk and water in the final mixture obtained   = (8 + 10):2 = 18:2 = 9:1.

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