GATE Practice Question and Answer
8Q: If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x+y is equal to ? 966 05b5cc761e4d2b4197774fd62
5b5cc761e4d2b4197774fd62- 15false
- 24false
- 33false
- 42true
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Answer : 4. "2"
Explanation :
Answer: D) 2 Explanation: Since 653xy is divisible by 5 as well as 2, so y = 0.Now, 653x0 must be divisible by 8.So, 3x0 must be divisible by 8. This happens when x = 2x + y = (2 + 0) = 2.
Q: If log72 = m, then log4928 is equal to ? 1971 05b5cc761e4d2b4197774fd5d
5b5cc761e4d2b4197774fd5d- 11/(1+2m)false
- 2(1+2m)/2true
- 32m/(2m+1)false
- 4(2m+1)/2mfalse
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Answer : 2. "(1+2m)/2"
Explanation :
Answer: B) (1+2m)/2 Explanation: log4928 = 12log77×4 = 12+122log72= 12+log72= 12 + m= 1+2m2.
Q: If x is a whole number, then x²(x² - 1) is always divisible by ? 1662 05b5cc761e4d2b4197774fd58
5b5cc761e4d2b4197774fd58- 14false
- 28false
- 312true
- 4Nonefalse
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Answer : 3. "12"
Explanation :
Answer: C) 12 Explanation: we can do this by trial and error method. Putting x = 2,we get 2²(2² - 1) = 12.checking with other integers, the above equation always gives a value which is a multiple of 12,So, x²(x² - 1) is always divisible by 12.
Q: Which one of the following foreign agencies will assist the municipal agencies to improve quality of municipal schools through its School Excellence Programmes(SEP) ? 1074 05b5cc761e4d2b4197774fd53
5b5cc761e4d2b4197774fd53- 1IMFfalse
- 2UNDPfalse
- 3ADBtrue
- 4UNICEFfalse
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Answer : 3. "ADB"
Explanation :
Answer: C) ADB Explanation: Asian Development Bank (ADB) announced that it will assist the municipal agencies to improve quality of municipal schools through its School Excellence Programme (SEP).
Q: If y/(x - z) = (y + x)/z = x/y then find z : y : x ? 1433 05b5cc761e4d2b4197774fd4e
5b5cc761e4d2b4197774fd4e- 11:2:3false
- 23:2:4true
- 34:3:2false
- 42:3:4false
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Answer : 2. "3:2:4"
Explanation :
Answer: B) 3:2:4 Explanation: Given, y/(x - z) = (y + x)/z = x/yyz = xy + x2 - yz - xz ....(1)Also xy = yx-z ⇒x2 -xz = y2 ....(2)Using (1) and (2), we get yz = xy - yz + y22yz = xy + y22z = x + y Only option (B) satisfies the equation.
Q: Who among the following took over as the 25th Director General of the Border Roads(DGBR) ? 1013 05b5cc761e4d2b4197774fd49
5b5cc761e4d2b4197774fd49- 1Lt. Gen. Suresh Sharmafalse
- 2Lt. Gen. David R. Syiemliehfalse
- 3Lt. Gen. Srikanth Mishrafalse
- 4Lt. Gen. Sanjeev Kumar Shrivastavatrue
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Answer : 4. "Lt. Gen. Sanjeev Kumar Shrivastava"
Explanation :
Answer: D) Lt. Gen. Sanjeev Kumar Shrivastava Explanation: Lt. Gen. Sanjeev Kumar Shrivastava took over as the 25th Director General of the Border Roads (DGBR). He has replaced Lt. Gen. Suresh Sharma. Prior to it, he was holding the appointment of Director General Combat Engineers at Integrated Headquarters of Ministry of Defence(Army).
Q: There are 209 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 11 : 8, then how many nurses are there in the hospital? 1524 05b5cc761e4d2b4197774fd44
5b5cc761e4d2b4197774fd44- 188true
- 296false
- 3108false
- 4121false
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Answer : 1. "88"
Explanation :
Answer: A) 88 Explanation: Given,The ratio of the doctors to the nurses is 11 : 8Number of nurses = 8/19 x 209 = 88.
Q: If you had the chance to start your career over again, what would you do differently ? 916 05b5cc761e4d2b4197774fd3e
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Answer :
Explanation :
This depends on several factors. Different Individuals have different answers for it.You can answer as - " I will most likely be involved in a different but still related career path; something to do with the creative side. If I were to start over I would attempt to get myself to specialize in one area as a young man. It’s very interesting to follow one’s interests all at the same time, but you don’t get anywhere very quickly this way. By pursuing lots of interests all at the same time, it takes a long, long time to acquire professional level skills."