CAT Practice Question and Answer
8Q: A letter is takenout at random from 'ASSISTANT' and another is taken out from 'STATISTICS'. The probability that they are the same letter is : 1875 05b5cc7d0e4d2b41977751213
5b5cc7d0e4d2b41977751213- 135/96false
- 219/90true
- 319/96false
- 4None of thesefalse
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Answer : 2. "19/90"
Explanation :
Answer: B) 19/90 Explanation: ASSISTANT→AAINSSSTT STATISTICS→ACIISSSTTT Here N and C are not common and same letters can be A, I, S, T. Therefore Probability of choosing A = 2C19C1×1C110C1 = 1/45 Probability of choosing I = 19C1×2C110C1 = 1/45 Probability of choosing S = 3C19C1×3C110C1 = 1/10 Probability of choosing T = 2C19C1×3C110C1 = 1/15 Hence, Required probability = 145+145+110+115= 1990
Q: Diameter of a Ping Pong Ball? 1874 05b5cc6b3e4d2b4197774d3cd
5b5cc6b3e4d2b4197774d3cd- 137 mmfalse
- 238 mmfalse
- 340 mmtrue
- 442 mmfalse
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Answer : 3. "40 mm"
Explanation :
Answer: C) 40 mm Explanation: The ball with which Table Tennis is played is called Ping Pong Ball. According to the International rules, the diameter of the ping pong ball must be not less than 39.5 millimeters and not greater than 40.5 millimeters having a mass of 2.7 grams.
Q: Who is known as the Father of Geometry? 1874 05b5cc6a0e4d2b4197774ca4c
5b5cc6a0e4d2b4197774ca4c- 1Aryabhatafalse
- 2Thales of Miletusfalse
- 3Pythagoras of Samosfalse
- 4Euclidtrue
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Answer : 4. "Euclid"
Explanation :
Answer: D) Euclid Explanation: Euclid of Alexandria was a Greek mathematician, often referred to as the Father of Geometry.
Q: A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ? 1873 05b5cc6d8e4d2b4197774e764
5b5cc6d8e4d2b4197774e764- 155 kmphfalse
- 258 kmphfalse
- 360 kmphtrue
- 466 kmphfalse
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Answer : 3. "60 kmph"
Explanation :
Answer: C) 60 kmph Explanation: Speed on return trip = 150% of 50 = 75 km/hr. Average speed = (2 x 50 x 75)/(50 + 75) = 60 km/hr.
Q: State funding of elections takes place in 1873 05b5cc69ce4d2b4197774c82a
5b5cc69ce4d2b4197774c82a- 1Germany and Austriatrue
- 2USA and Canadafalse
- 3France and Italyfalse
- 4Britain and Switzerlandfalse
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Answer : 1. "Germany and Austria"
Explanation :
Answer: A) Germany and Austria Explanation:
Q: H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is : 1873 05b5cc6e7e4d2b4197774eda6
5b5cc6e7e4d2b4197774eda6- 1360false
- 2180true
- 390false
- 4120false
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Answer : 2. "180"
Explanation :
Answer: B) 180 Explanation: 4 x 27 x 3125 = 22 × 33 × 55 ; 8 x 9 x 25 x 7 = 23 × 32 × 52 × 7 16 x 81 x 5 x 11 x 49 = 24 × 34 × 5 × 11 × 72 H.C.F = 22 × 32 × 5 = 180.
Q: It takes one minute to fill 2/7 th of a vessel. What is the time taken in minutes to fill the whole of the vessel ? 1873 05b5cc6d8e4d2b4197774e7fd
5b5cc6d8e4d2b4197774e7fd- 11/7 minfalse
- 27/2 mintrue
- 35/7 minfalse
- 47/5 minfalse
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Answer : 2. "7/2 min"
Explanation :
Answer: B) 7/2 min Explanation: Time taken to fill 2/7 = 1Then to fill full 1 = ?? = 1/(2/7) = 7/2 minutes.
Q: Find the Odd One Out? 3, 4, 14, 48, 576, 27648 1872 05b5cc6b0e4d2b4197774d2c6
5b5cc6b0e4d2b4197774d2c6- 14false
- 214true
- 348false
- 427648false
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Answer : 2. "14"
Explanation :
Answer: B) 14 Explanation: Given Number series is : 3 4 14 48 576 27648 It follows a pattern that, 3 4 4 x 3 = 12 but not 14 12 x 4 = 48 48 x 12 = 576 576 x 48 = 27648 Hence, the odd one in the given Number Series is 14.