GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain ? 1882 05b5cc74fe4d2b4197774fb12
5b5cc74fe4d2b4197774fb12- 125%true
- 230%false
- 317%false
- 419%false
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उत्तर : 1. "25%"
व्याख्या :
Answer: A) 25% Explanation: He has gain = 15 - 12 = 3,Gain% = (3/12) x 100 = (100/4) = 25.He has 25% gain.
प्र: Question : In a cricket team, the average age of eleven players in 28 years. What is the age of the captain? Statements : a. The captain is eleven years older than the youngest player. b. The average age of 10 players, other than the captain is 27.3 years. c. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively. 2589 05b5cc74fe4d2b4197774fb17
5b5cc74fe4d2b4197774fb17- 1All a,b and c followsfalse
- 2Only a and c followsfalse
- 3Either b alone or a & b followstrue
- 4Nonefalse
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उत्तर : 3. "Either b alone or a & b follows"
व्याख्या :
Answer: C) Either b alone or a & b follows Explanation: From statement (b)Average of 11 players = 11 x 28 = 308Average of 10 players = 10 x 27.3 = 273Age of captain = 308 - 273 = 35. From the Statement (a) we can say that captain's age (C) = y + 11 ...(1) where y-youngers ageFrom the statement (c),the averge age of 3groups of 3players each was given,It means total 9 players age was given indirectly,1st group: 25 x 3 = 752nd group: 28 x 3 = 843rd group: 30 x 3 = 90Total is 75 + 84 + 90 = 249Now {C + Y + (9 players age sum)}/11 = 28Y + 11 + Y + (249) = 28 x 11=3082Y+260=3082Y = 308-260 = 40 ==> Y=24 ==> C(captain's age)= Y+11 = 24+11 = 35 Therefore, statement b alone or a & c only is the answer.
प्र: What is the smallest number by which 2880 must be divided in order to make it into a perfect square ? 1744 05b5cc74fe4d2b4197774fb0d
5b5cc74fe4d2b4197774fb0d- 12false
- 23false
- 34false
- 45true
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उत्तर : 4. "5"
व्याख्या :
Answer: D) 5 Explanation: By trial and error method, we get2880/3 = 960 is not a perfect square2880/4 = 720 is not a perfect square2880/5 = 576 which is perfect square of 24Hence, 5 is the least number by which 2880 must be divided in order to make it into a perfect square.
प्र: (3x + 2) (2x - 5) = ax² + kx + n. What is the value of a - n + k ? 1891 05b5cc74fe4d2b4197774fafe
5b5cc74fe4d2b4197774fafe- 14false
- 21false
- 35true
- 43false
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उत्तर : 3. "5"
व्याख्या :
Answer: C) 5 Explanation: (3x + 2) (2x - 5) = ax2+kx+n ...............(1) But (3x + 2)(2x - 5) = 6x2-11x-10........(2) so by comparing (1) & (2), we get a= 6, k= -11 , n= -10 (a - n + k) = 6 + 10 - 11 = 5.
प्र: Fill in the blank with an appropriate word from the following options. Usually the room tariff in this hotel is higher. At present, it is low because of the------- season. 2050 05b5cc74fe4d2b4197774faf9
5b5cc74fe4d2b4197774faf9- 1Peakfalse
- 2Offtrue
- 3Downfalse
- 4Slowfalse
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उत्तर : 2. "Off"
व्याख्या :
Answer: B) Off Explanation: Season can be either at peak or off.Presently it is low, that is because of OFF season.
प्र: In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ? 1517 05b5cc74fe4d2b4197774faf4
5b5cc74fe4d2b4197774faf4- 125 mtrue
- 221 mfalse
- 322 mfalse
- 419 mfalse
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उत्तर : 1. "25 m"
व्याख्या :
Answer: A) 25 m Explanation: A:B = 200 : 169A:C = 200 : 182 CB = CA×AB 182200×200169 => 182:169 When C covers 182 m , B Covers 169 mWhen C covers 350 m , B Covers 169182×350=> 325 m So C beats B by (350 - 325) = 25 m.
प्र: An exhibition was conducted for 4 weeks. The number of tickets sold in 2nd workweek was increased by 20% and increased by 16% in the 3rd workweek but decreased by 20% in the 4th workweek. Find the number of tickets sold in the beginning, if 1392 tickets were sold in the last week ? 4110 05b5cc74fe4d2b4197774faea
5b5cc74fe4d2b4197774faea- 11124false
- 21420false
- 31345false
- 41250true
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उत्तर : 4. "1250"
व्याख्या :
Answer: D) 1250 Explanation: Let initially 'X' ticket has been sold.So now in 2nd week 20% increases, so=> X x 120/100In 3rd week 16% increases, so=> X x (120/100) x (116/100)In 4th week 20% decrease, so=> X x (120/100) x (116/100) x (80/100) = 1392X = 1250.
प्र: 'K' cycled from A to B at 10 kmph and returned at the rate of 9 kmph. 'L' cycled both ways at 12 kmph. In the whole journey 'L' took 10 minutes less than 'K'. Find the distance between A and B ? 1564 05b5cc74fe4d2b4197774faef
5b5cc74fe4d2b4197774faef- 132.1 kmfalse
- 215.23 kmfalse
- 33.75 kmtrue
- 432.1 mfalse
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उत्तर : 3. "3.75 km"
व्याख्या :
Answer: C) 3.75 km Explanation: Let 'd' be the distance between A and BK -time = d/10 + d/9 = 19d/90 hoursL -time = 2d/12 = d/6 hoursWe know that, 10 min = 1/6 hoursThus, time difference between K and L is given as 10 minutes. => 19d/90 - d/6 = 1/6=> (19d-15d)/90 = 1/6=> 4d/90 = 1/6Thus,d= 15/4 km = 3.75 km. hence the distance between A and B is 3.75 km.