CAT Practice Question and Answer
8Q: The number of ways that 8 beads of different colours be strung as a necklace is 2406 05b5cc7b4e4d2b4197775089c
5b5cc7b4e4d2b4197775089c- 12520true
- 22880false
- 34320false
- 45040false
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Answer : 1. "2520"
Explanation :
Answer: A) 2520 Explanation: The number of ways of arranging n beads in a necklace is (n-1)!2=(8-1)!2=7!2 = 2520 (since n = 8)
Q: A train for Fathehpur leaves for every 2 hrs 30 min from Agra station. An announcement was made that train left 37 mins ago and next train comes at 17:00hrs. At what time was the announcement made ? 2404 05b5cc715e4d2b4197774f445
5b5cc715e4d2b4197774f445- 115:07 hrstrue
- 215:20 hrsfalse
- 315:05 hrsfalse
- 415:00 hrsfalse
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Answer : 1. "15:07 hrs"
Explanation :
Answer: A) 15:07 hrs Explanation: Next train comes at 17:00 hrs.So, last train will be = 17:00hrs - 2:30hrs= 14:30hrsAnnouncement made after 37 min of the last train.S0, 14:30hrs + 00:37 min= 15:07 hrs.
Q: Find the next number in the series 125, 80, 45, 20, .... 2404 05b5cc76fe4d2b4197774ff5d
5b5cc76fe4d2b4197774ff5d- 15true
- 215false
- 3-5false
- 410false
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Answer : 1. "5"
Explanation :
Answer: A) 5 Explanation: The pattern is -45, -35, -25, -15 The next number = 20-15= 5
Q: How many four digit even numbers can be formed using the digits {2, 7, 5, 3, 9, 1} ? 2403 05b5cc6d7e4d2b4197774e705
5b5cc6d7e4d2b4197774e705- 159false
- 260true
- 361false
- 464false
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Answer : 2. "60"
Explanation :
Answer: B) 60 Explanation: The given digits are 1, 2, 3, 5, 7, 9 A number is even when its units digit is even. Of the given digits, two is the only even digit.Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways. Number of even numbers = ⁵P₃ = 60.
Q: The last two digits of 2151415? 2401 05b5cc6b9e4d2b4197774d6cb
5b5cc6b9e4d2b4197774d6cb- 181false
- 261false
- 391false
- 451true
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Answer : 4. "51"
Explanation :
Answer: D) 51 Explanation: Unit digit of this expression is always 1 as the base ends with 1. For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit. i.e, tenth place digit in 2151 is 5 and tenth place digit in power 415 is 1 And the units digit in the product of 5 x 1 = 5 Therefore, last two digits of 2151415 is 51.
Q: Malleability and Ductility of metals can be accounted due to 2399 05b5cc670e4d2b4197774c052
5b5cc670e4d2b4197774c052- 1the crystalline structure in metalfalse
- 2the interaction of electrons with metal ions in the latticefalse
- 3the presence of electrostatic forcefalse
- 4the capacity of layers of metal ions to slide over the othertrue
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Answer : 4. "the capacity of layers of metal ions to slide over the other"
Explanation :
Answer: D) the capacity of layers of metal ions to slide over the other Explanation:
Q: Effective teamwork and high productivity are good indications of positive 2392 05b5cc662e4d2b4197774be7f
5b5cc662e4d2b4197774be7f- 1productivity goalstrue
- 2reinforcementfalse
- 3horizontal relationshipsfalse
- 4socializingfalse
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Answer : 1. "productivity goals"
Explanation :
Answer: A) productivity goals Explanation: In general, we know that Effective teamwork yields high productivity which is a good indications of positive productivity goals.
Q: The oldest dynasty still ruling in which country ? 2390 05b5cc6dae4d2b4197774e876
5b5cc6dae4d2b4197774e876- 1Indiafalse
- 2Iranfalse
- 3Japantrue
- 4Englandfalse
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Answer : 3. "Japan"
Explanation :
Answer: C) Japan Explanation: The longest-surviving dynasty in the world is the Imperial House of Japan.