CAT Practice Question and Answer
8Q: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ? 1186 05b5cc6ebe4d2b4197774ee64
5b5cc6ebe4d2b4197774ee64- 11false
- 21/2true
- 30false
- 43/5false
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Answer : 2. "1/2"
Explanation :
Answer: B) 1/2 Explanation: The number of exhaustive outcomes is 36.Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2P(E) = 1 - 1/2 = 1/2.
Q: The number of permutations of the letters of the word 'MESMERISE' is ? 2868 05b5cc6ebe4d2b4197774ee5f
5b5cc6ebe4d2b4197774ee5f- 19!/(2!)^{2}x3!true
- 29! x 2! x 3!false
- 30false
- 4Nonefalse
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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!
Q: How many Indian got a place in 100 most influential people in the world list 2017 by Time magazine ? 1137 05b5cc6ebe4d2b4197774ee5a
5b5cc6ebe4d2b4197774ee5a- 11false
- 22true
- 33false
- 44false
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Answer : 2. "2"
Explanation :
Answer: B) 2 Explanation: Prime Minister Narendra Modi and Paytm founder Vijay Shekhar Sharma.
Q: National Civil Services Day is celebrated on _____________. 1307 05b5cc6ebe4d2b4197774ee4b
5b5cc6ebe4d2b4197774ee4b- 121 Apriltrue
- 223 Aprilfalse
- 321 Marchfalse
- 422 Marchfalse
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Answer : 1. "21 April"
Explanation :
Answer: A) 21 April Explanation: Civil Services Day is celebrated in India every year on 21st April. The Union Home Minister Shri Rajnath Singh inaugurated the two-day 11th Civil Services Day program (20-21 April) in New Delhi.
Q: A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ? 6081 05b5cc6ebe4d2b4197774ee46
5b5cc6ebe4d2b4197774ee46- 11/3 kmphfalse
- 22/3 kmphfalse
- 31/4 kmphfalse
- 41/2 kmphtrue
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Answer : 4. "1/2 kmph"
Explanation :
Answer: D) 1/2 kmph Explanation: Speed in upstream = Distance / Time = 3 x 60/20 = 9 km/hr. Speed in downstream = 3 x 60/18 = 10 km/hr Rate of current = (10-9)/2 = 1/2 km/hr.
Q: A sold an article to B at 40% profit and B sold it to C at 50% profit, then what will be profit percent with respect to A ? 2184 05b5cc6e9e4d2b4197774ee3c
5b5cc6e9e4d2b4197774ee3c- 197 %false
- 2110 %true
- 3135 %false
- 4115 %false
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Answer : 2. "110 %"
Explanation :
Answer: B) 110 % Explanation: % Profit with respect to A = 40 + 50 + (40 x 50)/100 = 90 + 20 = 110 %.
Q: A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ? 6712 15b5cc6e9e4d2b4197774ee41
5b5cc6e9e4d2b4197774ee41- 1180 kmtrue
- 2160 kmfalse
- 3140 kmfalse
- 4120 kmfalse
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Answer : 1. "180 km"
Explanation :
Answer: A) 180 km Explanation: Speed in downstream = (14 + 4) km/hr = 18 km/hr; Speed in upstream = (14 – 4) km/hr = 10 km/hr. Let the distance between A and B be x km. Then, x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km.
Q: Read each sentence to find out whether there is any grammatical error in it. The error, if any, will be in one part of the sentence. In which part of the sentence there is an error ? 1368 05b5cc6e9e4d2b4197774ee37
5b5cc6e9e4d2b4197774ee37- 1He isfalse
- 2Not agreeingfalse
- 3To me.true
- 4No errorfalse
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Answer : 3. "To me."
Explanation :
Answer: C) To me. Explanation: Replace 'to' by 'with'.