GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: If today is Saturday, what will be the day 350 days from now ? 6077 05b5cc6dbe4d2b4197774e8eb
5b5cc6dbe4d2b4197774e8eb- 1Saturdaytrue
- 2Fridayfalse
- 3Sundayfalse
- 4Mondayfalse
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उत्तर : 1. "Saturday"
व्याख्या :
Answer: A) Saturday Explanation: 350 days, 350/7 = 50, no odd days, so it will be a Saturday.
प्र: A can do a piece of work in 15 days and B can do it in 16 days and C can do it 24 days. They started the work together and A leaves after 3 days and B leaves after 4 days from the beginning. How long will work lost ? 1591 05b5cc6dae4d2b4197774e8dc
5b5cc6dae4d2b4197774e8dc- 110 2/3 daysfalse
- 213 1/5 daystrue
- 312 2/3 daysfalse
- 411 5/7 daysfalse
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उत्तर : 2. "13 1/5 days"
व्याख्या :
Answer: B) 13 1/5 days Explanation: 3/15 + 4/16 + x/24 = 1 ⇒x=1315
प्र: If 6 men and 3 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time ? 1799 05b5cc6dae4d2b4197774e8d2
5b5cc6dae4d2b4197774e8d2- 11 : 2true
- 22 : 1false
- 33 : 1false
- 41 : 3false
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उत्तर : 1. "1 : 2"
व्याख्या :
Answer: A) 1 : 2 Explanation: 6M + 3B = 4(1M + 1B)6M + 3B = 4M + 4B2M = 1B M/B = 1/2
प्र: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow ? 4634 05b5cc6dae4d2b4197774e8d7
5b5cc6dae4d2b4197774e8d7- 13/17false
- 24/21false
- 32/21true
- 45/17false
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उत्तर : 3. "2/21"
व्याख्या :
Answer: C) 2/21 Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 x 2)/(15 x 14) = 1/35 Probability that both are yellow = ²C₂/¹⁵C₂ = (2 x 1)/(15 x 14) = 1/105 Probability that one blue and other is yellow = (³C₁ x ²C₁)/¹⁵C₂ = (2 x 3 x 2)/(15 x 14) = 2/35 Required probability = 1/35 + 1/105 + 2/35 = 3/35 + 1/105 = 1/35(3 + 1/3) = 10/(3 x 35) = 2/21
प्र: Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case ? 1240 05b5cc6dae4d2b4197774e8cd
5b5cc6dae4d2b4197774e8cd- 11020false
- 21040false
- 31060false
- 41022true
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उत्तर : 4. "1022"
व्याख्या :
Answer: D) 1022 Explanation: Lowest 4-digit number is 1000.LCM of 3, 4 and 5 is 60.Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.Now, add the remainder 2 that's required. Thus, the answer is 1022.
प्र: 45 men working 9 hours per day dig 40 m deep. How many extra men should be put to dig to a depth of 56 m working 7 hours per day ? 1893 05b5cc6dae4d2b4197774e8c8
5b5cc6dae4d2b4197774e8c8- 136true
- 261false
- 348false
- 454false
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उत्तर : 1. "36"
व्याख्या :
Answer: A) 36 Explanation: (45 x 9)/40 = (M x 7)/56 => M = 81 => 81 – 45 = 36
प्र: Find the odd one out of the series ? 35, 48, 54, 63, 81, 105 2041 05b5cc6dae4d2b4197774e8c3
5b5cc6dae4d2b4197774e8c3- 163false
- 248false
- 335true
- 481false
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उत्तर : 3. "35"
व्याख्या :
Answer: C) 35 Explanation: 48, 54, 63, 81 and 105 are divisible by 3 but not 35.
प्र: A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely ? 1236 05b5cc6dae4d2b4197774e8be
5b5cc6dae4d2b4197774e8be- 14 hrs 15 minfalse
- 23 hrs 24 minfalse
- 34 hrs 51 minfalse
- 43 hrs 45 mintrue
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उत्तर : 4. "3 hrs 45 min"
व्याख्या :
Answer: D) 3 hrs 45 min Explanation: Time taken by one tap to fill half of the tank = 3 hrs. Part filled by the taps in 1 hour = 4 x 1/6 = 2/3 Remaining part = 1 - 1/2 = 1/2 2/3 : 1/2 :: 1 : p p = 1/2 x 1 x 3/2 = 3/4 hrs. i.e., 45 min So, total time taken = 3 hrs 45 min.