CAT प्रश्न और उत्तर का अभ्यास करें
8प्र: The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e always come together ? 2206 05b5cc6d3e4d2b4197774e4d7
5b5cc6d3e4d2b4197774e4d7- 11/7false
- 28!false
- 37!false
- 41/14true
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उत्तर : 4. "1/14"
व्याख्या :
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.
प्र: In which year was "Jana Gana Mana" adopted as the National Anthem ? 1586 05b5cc6d3e4d2b4197774e4d2
5b5cc6d3e4d2b4197774e4d2- 11947false
- 21949false
- 31951false
- 41950true
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उत्तर : 4. "1950"
व्याख्या :
Answer: D) 1950 Explanation: 1950
प्र: 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 ? 1350 05b5cc6d3e4d2b4197774e4cd
5b5cc6d3e4d2b4197774e4cd- 10.25 %false
- 20.04 %true
- 30.5 %false
- 40 %false
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उत्तर : 2. "0.04 %"
व्याख्या :
Answer: B) 0.04 % Explanation: In this type cases we always have loss only. Loss% = Common Gain or Loss102= 2102= 1/25 = 0.04 %
प्र: 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 ? 2174 05b5cc6d3e4d2b4197774e4c8
5b5cc6d3e4d2b4197774e4c8- 1120 litfalse
- 2140 litfalse
- 3110 litfalse
- 4150 littrue
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उत्तर : 4. "150 lit"
व्याख्या :
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.
प्र: Number Challenge Puzzle ? 1286 05b5cc6d3e4d2b4197774e4be
5b5cc6d3e4d2b4197774e4be- 11true
- 24false
- 35false
- 40false
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उत्तर : 1. "1"
व्याख्या :
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.
प्र: Maths Challenge 1735 05b5cc6d3e4d2b4197774e4c3
5b5cc6d3e4d2b4197774e4c3- 119false
- 238false
- 322false
- 440true
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उत्तर : 4. "40"
व्याख्या :
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.
प्र: Math Logic Challenge 1544 05b5cc6d3e4d2b4197774e4b4
5b5cc6d3e4d2b4197774e4b4- 123false
- 226true
- 313false
- 429false
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उत्तर : 2. "26"
व्याख्या :
Answer: B) 26 Explanation: Let the integer be x. Then, x2-20x = 156 (x + 6)(x - 26) = 0 x = 26 The integer is 26.
प्र: 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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उत्तर : 1. "Saturday"
व्याख्या :
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.

