CAT Practice Question and Answer

Q: A fair coin is tossed 11 times. What is the probability that only the first two tosses will yield heads ? 2088 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: What should come in place of the question mark(?) in the following questions ? 316 + 412 - 223 - 11112 = ? 2088 0

  • 1
    1 7/12
    Correct
    Wrong
  • 2
    1 5/12
    Correct
    Wrong
  • 3
    3 7/12
    Correct
    Wrong
  • 4
    3 1/12
    Correct
    Wrong
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Answer : 4. "3 1/12"
Explanation :

Answer: D) 3 1/12 Explanation: ? = (3 + 4 - 2 - 1) + ( 1/6 + 1/2 - 2/3 - 11/12)  = 4 + [(2+6-8-11)/12]  = 4 - (11/12 )= 31/12.

Q: How old are you if you are born in 1995? 2087 0

  • 1
    22
    Correct
    Wrong
  • 2
    23
    Correct
    Wrong
  • 3
    24
    Correct
    Wrong
  • 4
    25
    Correct
    Wrong
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Answer : 2. "23"
Explanation :

Answer: B) 23 Explanation: Calculating Age has 2 conditions. Let your Birthday is on January 1st. 1. If the month in which you are born is completed in the present year i.e, your birthday, then Your Age = Present year - Year you are born  As of now, present year = 2018 i.e, Age = 2018 - 1995 = 23 years.   2. If the month in which you are born is not completed in the present year i.e, your birthday, then Your Age = Last year - Year you are born As of now, present year = 2018 i.e, Age = 2017 - 1995 = 22 years.

Q: A six-digit number is formed by repeating a three-digit number; for example, 404404 or 415415 etc. Any number of this form is always exactly divisible by 2087 0

  • 1
    101
    Correct
    Wrong
  • 2
    901
    Correct
    Wrong
  • 3
    1001
    Correct
    Wrong
  • 4
    789
    Correct
    Wrong
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Answer : 3. "1001"
Explanation :

Answer: C) 1001 Explanation: Here by trial and error method, we can obseve that 404404 = 404 x 1001; 415415 = 415 x 1001, etc. So, any number of this form is divisible by 1001.

Q: What Room can Nobody Enter? 2087 0

  • 1
    War room
    Correct
    Wrong
  • 2
    Spare room
    Correct
    Wrong
  • 3
    Escape room
    Correct
    Wrong
  • 4
    Mushroom
    Correct
    Wrong
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Answer : 4. "Mushroom"
Explanation :

Answer: D) Mushroom Explanation: The Room can Nobody Enter is a Mushroom.

Q: At an examination in which maximum marks are 500. P got 10% less than Q, Q got 25% more than R and R got 20% less than S. If P got 360 marks what percentage of marks was obtained by S ? 2087 0

  • 1
    77
    Correct
    Wrong
  • 2
    74
    Correct
    Wrong
  • 3
    80
    Correct
    Wrong
  • 4
    83
    Correct
    Wrong
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Answer : 3. "80"
Explanation :

Answer: C) 80 Explanation: Let marks obtained by S = M R's marks = 0.80M Q's marks = 1.25 (0.80M) P's marks = (0.90) (1.25) (0.80M) = 0.9M But 0.9M = 360 M = ? M = 400 Hence % of marks obtained by S = 400/500 x 100 = 80%.

Q: The first tiger reserve in India to officially introduce a mascot, which has been named Bhoorsingh the Barasingha is 2085 0

  • 1
    Sunderbans Tiger Reserve
    Correct
    Wrong
  • 2
    Bandhavgarh Tiger Reserve
    Correct
    Wrong
  • 3
    Kanha Tiger Reserve
    Correct
    Wrong
  • 4
    Corbett Tiger Reserve
    Correct
    Wrong
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Answer : 3. "Kanha Tiger Reserve"
Explanation :

Answer: C) Kanha Tiger Reserve Explanation: The Kanha Tiger Reserve in Madhya Pradesh has become the first Tiger reserve in India to officially introduce a mascot, which has named Bhoorsingh the Barasingha.

Q: A work which could be finished in 11 days was finished 4 days earlier after 4 more men joined. The number of men employed was ? 2085 0

  • 1
    7
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 1. "7"
Explanation :

Answer: A) 7 Explanation: As the work is sameM1D1 = M2D2 Here Let the number of men employed was M=> 11M = 7(M+4)=> 11M - 7M = 28=> M = 7

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