CAT Practice Question and Answer
8Q: A fair coin is tossed 11 times. What is the probability that only the first two tosses will yield heads ? 2088 05b5cc6c8e4d2b4197774df23
5b5cc6c8e4d2b4197774df23- 1(1/2)^11true
- 2(9)(1/2)false
- 3(11C2)(1/2)^9false
- 4(1/2)false
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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 05b5cc6fbe4d2b4197774f0ec
5b5cc6fbe4d2b4197774f0ec- 11 7/12false
- 21 5/12false
- 33 7/12false
- 43 1/12true
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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 05b5cc6a6e4d2b4197774cd5b
5b5cc6a6e4d2b4197774cd5b- 122false
- 223true
- 324false
- 425false
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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 05b5cc754e4d2b4197774fb95
5b5cc754e4d2b4197774fb95- 1101false
- 2901false
- 31001true
- 4789false
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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 05b5cc6abe4d2b4197774cfea
5b5cc6abe4d2b4197774cfea- 1War roomfalse
- 2Spare roomfalse
- 3Escape roomfalse
- 4Mushroomtrue
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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 05b5cc6c3e4d2b4197774dc54
5b5cc6c3e4d2b4197774dc54- 177false
- 274false
- 380true
- 483false
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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 05b5cc701e4d2b4197774f1d5
5b5cc701e4d2b4197774f1d5- 1Sunderbans Tiger Reservefalse
- 2Bandhavgarh Tiger Reservefalse
- 3Kanha Tiger Reservetrue
- 4Corbett Tiger Reservefalse
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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 05b5cc6e1e4d2b4197774ebb6
5b5cc6e1e4d2b4197774ebb6- 17true
- 28false
- 39false
- 410false
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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

