GATE Practice Question and Answer
8Q: A person sold two cows each for Rs.9900. If he gained 10% on one and lost 20% on the other, then which of the following is true ? 2976 05b5cc6dde4d2b4197774e9e2
5b5cc6dde4d2b4197774e9e2- 1He lost Rs. 200false
- 2He gained Rs. 200false
- 3Neither he gained nor lostfalse
- 4None of the abovetrue
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Answer : 4. "None of the above"
Explanation :
Answer: D) None of the above Explanation: In first he got Rs. 990 But in second he lost Rs. 1980 So he lost Rs. 990.
Q: इनमें से कौन एक साधारण मशीन नहीं है? 2974 15b5cc607e4d2b4197774b55e
5b5cc607e4d2b4197774b55e- 1कैंची की एक जोड़ीtrue
- 2एक लीवरfalse
- 3एक रैंपfalse
- 4चरखीfalse
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Answer : 1. "कैंची की एक जोड़ी"
Explanation :
Answer: A) कैंची की एक जोड़ी व्याख्या: बल लगाने के लिए किसी भी बुनियादी यांत्रिक उपकरण को सरल मशीन कहा जाता है। 6 बुनियादी सरल मशीनें हैं; लीवर, पहिया और धुरी, झुका हुआ विमान, पच्चर, चरखी और पेंच। इनमें से कई सरल मशीनें एक दूसरे से संबंधित हैं। लेकिन, काम करने की दुनिया में प्रत्येक का एक विशिष्ट उद्देश्य होता है।
Q: A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ? 2974 05b5cc6dce4d2b4197774e9ab
5b5cc6dce4d2b4197774e9ab- 131 minfalse
- 229 minfalse
- 328 minfalse
- 430 mintrue
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Answer : 4. "30 min"
Explanation :
Answer: D) 30 min Explanation: Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24Suppose the tank is filled in x minutes.Then, x/2(1/24 + 1/40) = 1(x/2) * (1/15) = 1 => x = 30 min.
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Answer :
Explanation :
1. Answer : 2 Explanation : Productivity = Total production/area of Agr.land Productivity of UP = [ (35000+30000+25000) / (30/100) ] = 300000 Productivity of MP = [ (30000+37500+27500) / (25/100) ] = 380000 Productivity of Bihar = [ (22500+27500+25000) / (20/100) ] = 375000 Productivity of Odisha = [ (22500+15000+10000) / (5/100) ]= 950000 Productivity of Haryana = [ (30000+25000+35000) / (8/100) ] = 1125000 Productivity of Punjab = [ (40000+35000+30000) / (12/100) ] = 875000 The Productivity of Haryana is the maximum. 2. Answer : 5 Explanation : Production of Punjab is maximum = 105000 tonnes 3. Answer : 3 Explanation : Production of Wheat in Punjab = 40000 tones Production of Maize in Odisha = 10000 tones Required % = (40000 - 10000)/100 = 300% 4. Answer : 4 Explanation : The ratio of prodution of Rice in Bihar to the production of Wheat in Haryana = 25000 tonnes : 25000 tonnes = 1 : 1 5. Answer : 1 Explanation : Income of MP from export of 40% of Rice at the rate of Rs.30 per kg = Rs.39crore Income of UP from export of 30% of Rice at the rate of Rs.32 per kg = Rs.28.8 crore Required ratio = 39 : 28.8 = 390 : 288 = 65 : 48
Q: In a G - 20 meeting there were total 20 people representing their own country. All the representative sat around a circular table. Find the number of ways in which we can arrange them around a circular table so that there is exactly one person between two representatives namely Manmohan and Musharraf. 2959 05b5cc7d1e4d2b4197775128b
5b5cc7d1e4d2b4197775128b- 12 x (17!)false
- 22 x (18!)true
- 3(3!) x (18!)false
- 4(17!)false
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Answer : 2. "2 x (18!)"
Explanation :
Answer: B) 2 x (18!) Explanation: A person can be chosen out of 18 people in 18 ways to be seated between Musharraf and Manmohan. Now consider Musharraf, Manmohan, and the third person, sitting between them, as a single personality, we can arrange them in 17! ways but Musharraf and Manmohan can also be arranged in 2 ways. Required number of permutations = 18 x (17!) x 2 = 2 x 18!
Q: 5 years ago Sushma was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find their ages ? 2958 05b5cc73ae4d2b4197774f8d3
5b5cc73ae4d2b4197774f8d3- 124 and 13 yearsfalse
- 248 and 24 yearsfalse
- 335 and 11 yearstrue
- 433 and 15 yearsfalse
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Answer : 3. "35 and 11 years"
Explanation :
Answer: C) 35 and 11 years Explanation: Let the age of sushma be x and the age of her son is yThen five years before x-5=5(y-5) ...(1)Five years hence x+5 = 3(y+5)-8 .....(2) By soving (1) & (2), we get5y - 15 = 3y + 7y = 11 => x = 35 Therefore, the age of Sushma = 35 and her son = 11.
Q: Three friends, P, Q and R started a partnership business investing money in the ratio of 5 : 4 : 2 respectively for a period of 3 years. What is the amount received by P as his share in the total profit ? a. Total amount invested in the business in Rs. 22,000. b. Profit earned at the end of 3 years is 3/8 of the total investment. c. The average amount of profit earned per year is Rs. 2750. 2958 05b5cc70be4d2b4197774f2e1
5b5cc70be4d2b4197774f2e1- 1Only c is sufficientfalse
- 2Both a & b are sufficientfalse
- 3Both A & B gives resulttrue
- 4Nonefalse
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Answer : 3. "Both A & B gives result"
Explanation :
Answer: C) Both A & B gives result Explanation: a and b give, profit after 3 years = Rs.(3/8 x 22000) = Rs.8250. From c also, profit after 3 years = Rs. (2750 x 3) = Rs. 8250. ∴ P's share = Rs.(8250 x 5/11) = Rs. 3750. Thus, (either C is redundant) or (a and b are redundant).
Q: If the rate increases by 2%, the simple interest received on a sum of money increases by Rs. 108. If the time period is increased by 2 years, the simple interest on the same sum increases by Rs.180. The sum is ? 2952 05b5cc767e4d2b4197774fe0b
5b5cc767e4d2b4197774fe0b- 1Rs. 540false
- 2Rs. 415false
- 3Rs. 404false
- 4Data is not sufficienttrue
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Answer : 4. "Data is not sufficient"
Explanation :
Answer: D) Data is not sufficient Explanation: Let the sum be Rs. p, rate be R% p.a. and time be T years. Then, P×T×(R+2)100-P×T×R100=108 ⇒2PT= 10800 ...... (1) And, P×R×(T+2)100-P×R×T100=180 ⇒2PR = 18000 ......(2) Clearly, from (1) and (2), we cannot find the value of pSo, the data is not sufficient.