GATE Practice Question and Answer
8Q: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train? 1200 05b5cc6bee4d2b4197774d97e
5b5cc6bee4d2b4197774d97e- 127 7/9 mtstrue
- 225 8/7 mtsfalse
- 321 1/4 mtsfalse
- 422 mtsfalse
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Answer : 1. "27 7/9 mts"
Explanation :
Answer: A) 27 7/9 mts Explanation: Relative speed = (40 - 20) km/hr = 20 x 5 m/sec = 50 m/sec. 18 9 Length of faster train = 50 x 5 m = 250 m = 27 7 m. 9 9 9
Q: In the following number series, one of the numbers is wrong. Find it out? 77, 79, 76, 81, 75, 85 1273 05b5cc6bee4d2b4197774d965
5b5cc6bee4d2b4197774d965- 179false
- 281false
- 375true
- 485false
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Answer : 3. "75"
Explanation :
Answer: C) 75 Explanation: Here in the given series, it follows a pattern that 77 + 2 = 79 79 - 3 = 76 76 + 5 = 81 81 - 7 = 74 74 + 11 = 85 Consecutive adding and subtracting of prime numbers. So the wrong number in the given series is 75.
Q: A man can row upstream at 16 km/hr and downstream at 24 km/hr. Find the speed of the current. 1862 05b5cc6bde4d2b4197774d942
5b5cc6bde4d2b4197774d942- 14 kmphtrue
- 26 kmphfalse
- 35 kmphfalse
- 43 kmphfalse
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Answer : 1. "4 kmph"
Explanation :
Answer: A) 4 kmph Explanation: Speed of the current = 24-16/2 = 8/2 = 4 km/hr.
Q: Find which of the two conclusions I and II given below is/are definitely true from the the given statements. Statements: I > W > T > N, I = F = G = C Conclusions: I. W > I II. C > N 1198 05b5cc6bde4d2b4197774d933
5b5cc6bde4d2b4197774d933- 1Only Conclusion I is truefalse
- 2Only Conclusion II is truetrue
- 3Both conclusions I & II are truefalse
- 4Neither conclusion I nor II is truefalse
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Answer : 2. "Only Conclusion II is true"
Explanation :
Answer: B) Only Conclusion II is true Explanation: From the given Statements : 1. I > W > T > N 2. F = G = C Conclusions are : I. W > I (False) II. C > N (True)
Q: If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together? 1479 05b5cc6bde4d2b4197774d924
5b5cc6bde4d2b4197774d924- 13 daysfalse
- 26 daysfalse
- 34 daystrue
- 42 daysfalse
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Answer : 3. "4 days"
Explanation :
Answer: C) 4 days Explanation: From the given data, => (2 M + 3W) 8 = (3M + 2W)7 => 16M + 24W = 21M + 14 W => 10W = 5M => 2W = M => 14W × ? = 7W × 8 ? = 4 days
Q: A motorboat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the motorboat and speed of the water current respectively? 1430 05b5cc6bde4d2b4197774d91a
5b5cc6bde4d2b4197774d91a- 13:7false
- 27:9false
- 35:4false
- 48:3true
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Answer : 4. "8:3"
Explanation :
Answer: D) 8:3 Explanation: Let the man's rate upstream be x kmph and that downstream be y kmph. Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs. x x 8 4 = (y x 4) 5 44 x =4y 5 y = 11 x. 5 Required ratio = y + x : y - x 2 2 = 16x x 1 : 6x x 1 5 2 5 2 = 8 : 3 5 5 = 8 : 3.
Q: P is 30% more efficient than Q. How much time will they, working together, take to complete a job which P alone could have done in 23 days? 1497 05b5cc6bde4d2b4197774d910
5b5cc6bde4d2b4197774d910- 116 daysfalse
- 213 daystrue
- 315 daysfalse
- 412 daysfalse
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Answer : 2. "13 days"
Explanation :
Answer: B) 13 days Explanation: Ratio of times taken by P & Q = 100 : 130 = 10:13 Let Q takes x days to do the work Then, 10:13 :: 23:x => x = 23x13/10 => x = 299/10 P's 1 day's work = 1/23 Q's 1 day's work = 10/299 (P+Q)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13 Hence, P & Q together can complete the work in 13 days.
Q: Which of the following Rivers has no Bridges built over it? 1780 05b5cc6bde4d2b4197774d906
5b5cc6bde4d2b4197774d906- 1Nilefalse
- 2Congo riverfalse
- 3Amazon rivertrue
- 4Yellow riverfalse
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Answer : 3. "Amazon river"
Explanation :
Answer: C) Amazon river Explanation: There are No bridges over The Amazon River. The Amazon River, in South America, is the largest river by discharge volume of water in the world and the second longest in length after The Nile in Egypt.