GATE Practice Question and Answer
6Q: Which of the following is a Composite number? 1096 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: 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? 1089 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: 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 ? 1086 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 sample is a pure substance? 1081 05b5cc69ae4d2b4197774c79d
5b5cc69ae4d2b4197774c79d- 1Table saltfalse
- 2Pure waterfalse
- 3a test tube of zinc oxidefalse
- 4All the abovetrue
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Answer : 4. "All the above"
Explanation :
Answer: D) All the above Explanation: A pure substance can be defined as any single type of material that has not been contaminated by another substance. In chemistry, a pure substance has a definite composition. It can be a compound or an element. A pure substance is considered to be a material that consists of one type of "building block" of matter. Examples of pure substances include tin, sulfur, diamond, water, pure sugar (sucrose), table salt (sodium chloride) and baking soda (sodium bicarbonate). Tin, sulfur, and diamond are examples of pure substances which are chemical elements. All elements are pure substances. Water, sugar, salt and baking soda are pure substances which are chemical compounds. Chemical compounds also are pure substances
Q: What are the qualities to be independent ? 1059 05b5cc76de4d2b4197774febb
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Answer :
Explanation :
The qualities that a person need, to be independent are: - Have a mind of your own.- Have the confidence to challenge accepted wisdom when required.- Can effectively work alone when necessary.
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 ? 1029 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

