CAT Practice Question and Answer
8Q: The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e always come together ? 2205 05b5cc6d3e4d2b4197774e4d7
5b5cc6d3e4d2b4197774e4d7- 11/7false
- 28!false
- 37!false
- 41/14true
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Answer : 4. "1/14"
Explanation :
Answer: D) 1/14 Explanation: The 8 letters can be written in 8! ways.n(S) = 8!Let E be the event that the letters b,c,d,e always come together when the first 8 alphabets are written down.Now the letters a, (bcde), f, g and h can be arranged in 5! ways.The letters b,c,d and e can be arranged themselves in 4! ways.n(E) = 5! x 4!Now, the required P(E) = n(E)/n(S) = 5! x 4!/8! = 1/14Hence the answer is 1/14.
Q: In which year was "Jana Gana Mana" adopted as the National Anthem ? 1585 05b5cc6d3e4d2b4197774e4d2
5b5cc6d3e4d2b4197774e4d2- 11947false
- 21949false
- 31951false
- 41950true
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Answer : 4. "1950"
Explanation :
Answer: D) 1950 Explanation: 1950
Q: A man sold two flats for Rs. 4.15 lakhs each. On one he gained 2% and on the other he lost 2%. What percent is the effect of the sale on the whole ? 1349 05b5cc6d3e4d2b4197774e4cd
5b5cc6d3e4d2b4197774e4cd- 10.25 %false
- 20.04 %true
- 30.5 %false
- 40 %false
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Answer : 2. "0.04 %"
Explanation :
Answer: B) 0.04 % Explanation: In this type cases we always have loss only. Loss% = Common Gain or Loss102= 2102= 1/25 = 0.04 %
Q: 80 litres of diesel is required to travel 800 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 1000 kms using 1200 cc engine ? 2173 05b5cc6d3e4d2b4197774e4c8
5b5cc6d3e4d2b4197774e4c8- 1120 litfalse
- 2140 litfalse
- 3110 litfalse
- 4150 littrue
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Answer : 4. "150 lit"
Explanation :
Answer: D) 150 lit Explanation: To cover a distance of 800 kms using a 800 cc engine, the amount of diesel required = 80 litres. => the amount of diesel required to cover a distance of 1000 kms = 1000 x 80/800 = 100 litres However, the vehicle uses a 1200 cc engine and it is given that the amount of diesel required varies directly as the engine capacity. i.e., for instance, if the capacity of engine doubles, the diesel requirement will double too. Therefore, with a 1200 cc engine, quantity of diesel required = 1200/800 x 100 = 150 litres.
Q: Number Challenge Puzzle ? 1286 05b5cc6d3e4d2b4197774e4be
5b5cc6d3e4d2b4197774e4be- 11true
- 24false
- 35false
- 40false
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Answer : 1. "1"
Explanation :
Answer: A) 1 Explanation: In each row, Sum of 1st two digit number + last two digit number = Middle two digit number i.e., 1st row 15 + 40 = 55 2nd row 46 + 47 = 93 Similarly, 7x + 16 = 87 => x = 1.
Q: Maths Challenge 1735 05b5cc6d3e4d2b4197774e4c3
5b5cc6d3e4d2b4197774e4c3- 119false
- 238false
- 322false
- 440true
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Answer : 4. "40"
Explanation :
Answer: D) 40 Explanation: To get a pair of black rings 100 percent certain 27 blue + 17 red + 2 black = 40 rings should be taken out Then only we can get 100 % a pair of black rings.
Q: Math Logic Challenge 1544 05b5cc6d3e4d2b4197774e4b4
5b5cc6d3e4d2b4197774e4b4- 123false
- 226true
- 313false
- 429false
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Answer : 2. "26"
Explanation :
Answer: B) 26 Explanation: Let the integer be x. Then, x2-20x = 156 (x + 6)(x - 26) = 0 x = 26 The integer is 26.
Q: Given that on 9th August 2016 is Saturday. What was the day on 9th August 1616 ? 2711 05b5cc6d3e4d2b4197774e4af
5b5cc6d3e4d2b4197774e4af- 1Saturdaytrue
- 2Sundayfalse
- 3Fridayfalse
- 4Mondayfalse
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Answer : 1. "Saturday"
Explanation :
Answer: A) Saturday Explanation: We know that, After every 400 years, the same day occurs.Thus, if 9th August 2016 is Saturday, before 400 years i.e., on 9th August 1616 has to be Saturday.

