GATE Practice Question and Answer
8Q: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is ? 4252 05b5cc6dce4d2b4197774e9c4
5b5cc6dce4d2b4197774e9c4- 18 kmphfalse
- 26 kmphtrue
- 37.5 kmphfalse
- 45.5 kmphfalse
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Answer : 2. "6 kmph"
Explanation :
Answer: B) 6 kmph Explanation: Speed of the stream = 1Motor boat speed in still water be = x kmphDown Stream = x + 1 kmphUp Stream = x - 1 kmph[35/(x + 1)] + [35/(x - 1)] = 12x = 6 kmph
Q: 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 ? 4232 05b5cc6dae4d2b4197774e8d7
5b5cc6dae4d2b4197774e8d7- 13/17false
- 24/21false
- 32/21true
- 45/17false
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Answer : 3. "2/21"
Explanation :
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
Q: मेन मेमोरी दो प्रकार की होती है 4218 25b5cc6a7e4d2b4197774ce3b
5b5cc6a7e4d2b4197774ce3b- 1रेंडम और सीक्वेंशियलfalse
- 2ROM और RAMtrue
- 3प्राइमरी और सेकेंडरीfalse
- 4उपरोक्त सभीfalse
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Answer : 2. "ROM और RAM"
Explanation :
Answer: B) ROM और RAM व्याख्या: मुख्य मेमोरी को कंप्यूटर में सेंट्रल स्टोरेज के रूप में परिभाषित किया जाता है। (संज्ञा) मुख्य मेमोरी का एक उदाहरण है जहां प्रोग्राम और डेटा को तब रखा जाता है जब प्रोसेसर सक्रिय रूप से उनका उपयोग कर रहा हो। कंप्यूटर का मुख्य भंडारण क्षेत्र, जिसमें केंद्रीय प्रोसेसर की तत्काल या सीधी पहुंच होती है, दो प्रकार का होता है। वे हैं :: RAM - रैंडम एक्सेस मेमोरी ROM - रीड ओनली मेमोरी।
Q: The Computer size was very large in 4218 05b5cc6afe4d2b4197774d1ab
5b5cc6afe4d2b4197774d1ab- 1Fourth Generationfalse
- 2Third Generationfalse
- 3Second Generationfalse
- 4First Generationtrue
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Answer : 4. "First Generation"
Explanation :
Answer: D) First Generation Explanation: The First Generation Computers size was very large. Since the First generation computers used 1000s of vacuum tubes that required lot of space made them gigantic in size. Single transistor could replace 1000 vacuum tubes and a single IC chip replaced 1000s of transistors made computers smaller and more speedy. It is obvious that computers developed with more power, reliability, speed and smaller sizes due to the enhancement of technology.
Q: If the positions of the first and the third digit within each number are interchanged, which of the following will be the third digit of the second lowest number ? 987, 514, 658, 487, 404, 269 4216 05b5cc6f8e4d2b4197774f01d
5b5cc6f8e4d2b4197774f01d- 18false
- 29false
- 32false
- 44true
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Answer : 4. "4"
Explanation :
Answer: D) 4 Explanation: According to the question, after the position of the first and third digit interchanged new numbers are 789, 415, 856, 784, 404, 962 962, 856, 789, 784, 404, 415Here the second lowest number is 404 and the last digit of it is '4'.
Q: Three taps I, J and K can fill a tank in 20,30and 40 minutes respectively. All the taps are opened simultaneously and after 5 minutes tap A was closed and then after 6 minutes tab B was closed .At the moment a leak developed which can empty the full tank in 70 minutes. What is the total time taken for the completely full ? 4216 05b5cc73de4d2b4197774f952
5b5cc73de4d2b4197774f952- 124.315 minutesfalse
- 226.166 minutestrue
- 322.154 minutesfalse
- 424 minutesfalse
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Answer : 2. "26.166 minutes"
Explanation :
Answer: B) 26.166 minutes Explanation: Upto first 5 minutes I, J and K will fill => 5[(1/20)+(1/30)+(1/40)] = 65/120 For next 6 minutes, J and K will fill => 6[(1/30)+(1/40)] = 42/120 So tank filled upto first 11 minutes = (65/120) + (42/120) = 107/120 So remaining tank = 13/120 Now at the moment filling with C and leakage @ 1/60 per minute= (1/40) - (1/70) = 3/280.So time taken to fill remaining 13/120 tank =(13/120) /(3/280) = 91/6 minutes Hence total time taken to completely fill the tank = 5 + 6 + 91/6 = 26.16 minutes.
Q: I learnt from my experience that by______ my anger and resentment, and by avoiding _________ I could overcome opponents more successfully than could those who openly defied their adversaries. 4205 05b5cc731e4d2b4197774f7f6
5b5cc731e4d2b4197774f7f6- 1suppressing, conflicttrue
- 2expressing, hostilityfalse
- 3stifling, temperancefalse
- 4rousing, wrathfalse
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Answer : 1. "suppressing, conflict"
Explanation :
Answer: A) suppressing, conflict Explanation:
Q: Karan started a business investing Rs 29000. After five months, Satish joined with a capital of Rs 18000. If at the end of the year, they earn a profit of Rs. 16970, then what will be the share of Satish in the profit ? 4203 05b5cc767e4d2b4197774fe36
5b5cc767e4d2b4197774fe36- 1Rs. 5422false
- 2Rs. 5489false
- 3Rs. 4511true
- 4Rs. 6145false
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Answer : 3. "Rs. 4511"
Explanation :
Answer: C) Rs. 4511 Explanation: Now as per question, Karan invested for 12 months and Satish invested for 7 months. So, Karan:Satish = (29000 x 12):(18000 x 7) = 348:126 = 58:21 Satish Ratio in profit will be= 16970×2179 = Rs. 4511