GATE Practice Question and Answer
6Q: Present ages of Deepa and Hyma are in the ratio of 5:6 respectively. After four years, this ratio becomes 6: 7. What is the difference between their present ages? 860 05b5cc6b4e4d2b4197774d4a5
5b5cc6b4e4d2b4197774d4a5- 16 yrsfalse
- 24 yrstrue
- 38 yrsfalse
- 42 yrsfalse
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Answer : 2. "4 yrs"
Explanation :
Answer: B) 4 yrs Explanation: Let the present age of Deepa = 5p Let the present age of Hyma = 6p After four years their ratio = 6 : 7 => 5p + 46p + 4 = 67 => 35p + 28 = 36p + 24 => p = 4 Therefore, the difference between their ages = 24 - 20 = 4 years.
Q: 5 Digits Number? What 5-digit number has the following features: If we put the numeral 1 at the beginning, we get a number three times smaller than if we put the numeral 1 at the end of the number. 846 05b5cc6a6e4d2b4197774cd74
5b5cc6a6e4d2b4197774cd74- Show Answer
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Answer :
Explanation :
We can make an equation: 3(100000 + x) = 10x+1 (Why? Well, adding 100000 puts a 1 at the front of a five-digit number, and multiplying by 10 and adding 1 puts a 1 at the end of a number) Solving this gives: 10x+1 = 3(100000 + x) 10x+1 = 300000 + 3x 10x = 299999 + 3x7x = 299999x = 299999/7 = 42857 The answer is 42857 (142857 is three times smaller than 428571).
Q: A person can row 8 1/2 km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream ? 846 05b5cc6cce4d2b4197774e172
5b5cc6cce4d2b4197774e172- 11.78 kmphfalse
- 22.35 kmphfalse
- 32.83 kmphtrue
- 43.15 kmphfalse
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Answer : 3. "2.83 kmph"
Explanation :
Answer: C) 2.83 kmph Explanation: Given speed of the person = 8 1/2 = 17/2 kmphLet the speed of the stream = x kmphspeed of upstream = 17/2 - xspeed of downstream = 17/2 + xBut given that,2(17/2 - x) = 17/2 + x=> 3x = 17/2=> x = 2.83 kmph.
Q: Which of the following is a Composite number? 834 05b5cc6a5e4d2b4197774ccf5
5b5cc6a5e4d2b4197774ccf5- 10false
- 219false
- 329false
- 491true
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Answer : 4. "91"
Explanation :
Answer: D) 91 Explanation: Here in the given numbers 91 is a Composite number. Since it has factors of 7 and 13 other than 1 and itself. Composite Numbers : A composite number is a positive integer which is not prime (i.e., which has factors other than 1 and itself). Examples :: 4, 6, 8, 12, 14, 15, 18, 20, ...
Q: A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in --- days ? 778 05b5cc6f4e4d2b4197774f00e
5b5cc6f4e4d2b4197774f00e- 151/24false
- 287/5false
- 357/12false
- 460/11true
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Answer : 4. "60/11"
Explanation :
Answer: D) 60/11 Explanation: A can complete the work in 12 days working 8 hours a day => Number of hours A can complete the work = 12×8 = 96 hours => Work done by A in 1 hour = 1/96 B can complete the work in 8 days working 10 hours a day => Number of hours B can complete the work = 8×10 = 80 hours => Work done by B in 1 hour = 1/80 Work done by A and B in 1 hour = 1/96 + 1/80 = 11/480 => A and B can complete the work in 480/11 hours A and B works 8 hours a day. Hence total days to complete the work with A and B working together = (480/11)/ (8) = 60/11 days
Q: Which Color has the Longest Wavelength? 755 05b5cc6ace4d2b4197774d0ac
5b5cc6ace4d2b4197774d0ac- 1Violetfalse
- 2Yellowfalse
- 3Redtrue
- 4Whitefalse
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Answer : 3. "Red"
Explanation :
Answer: C) Red Explanation: The visible colors from Longest wavelength to Shortest wavelength are :: Red, Orange, Yellow, Green, Blue and Violet. Red > Orange > Yellow > Green > Blue > Violet. 1. Infrared radiation has a longer wavelength than visible Red light. 2. Ultraviolet radiation has a shorter wavelength than the visible violet light. 3. The white light is a mixture of the colors of the visible spectrum.