GATE प्रश्न और उत्तर का अभ्यास करें

प्र: The third proportional to 9 and 12 is ? 2857 0

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    14
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  • 2
    16
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  • 3
    18
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  • 4
    20
    सही
    गलत
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उत्तर : 2. "16"
व्याख्या :

Answer: B) 16 Explanation: Let the third proportion to 9 & 12 be 'x'. => 9:12 = 12 :p => p = 12x12/9 = 16.

प्र: A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 15%, he is only able to save Rs. 400 per month. What is his monthly salary ? 2857 0

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    Rs. 6000
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  • 2
    Rs. 4500
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  • 3
    Rs. 5000
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  • 4
    Rs. 6500
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उत्तर : 3. "Rs. 5000"
व्याख्या :

Answer: C) Rs. 5000 Explanation: Income = Rs. 100 Expenditure = Rs. 80 Savings = Rs. 20 Present Expenditure 80x(15/100) = Rs. 12 = 80 + 12 = Rs. 92 Present Savings = 100 – 92 = Rs. 8 100 ------ 8? --------- 400 => 5000 His salary = Rs. 5000

प्र: A train for Fathehpur leaves for every 2 hrs 30 min from Agra station. An announcement was made that train left 37 mins ago and next train comes at 17:00hrs. At what time was the announcement made ? 2856 0

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    15:07 hrs
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  • 2
    15:20 hrs
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  • 3
    15:05 hrs
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  • 4
    15:00 hrs
    सही
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उत्तर : 1. "15:07 hrs"
व्याख्या :

Answer: A) 15:07 hrs Explanation: Next train comes at 17:00 hrs.So, last train will be = 17:00hrs - 2:30hrs= 14:30hrsAnnouncement made after 37 min of the last train.S0, 14:30hrs + 00:37 min= 15:07 hrs.

प्र: A sold an article to B at 40% profit and B sold it to C at 50% profit, then what will be profit percent with respect to A ? 2856 0

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    97 %
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  • 2
    110 %
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  • 3
    135 %
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  • 4
    115 %
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उत्तर : 2. "110 %"
व्याख्या :

Answer: B) 110 % Explanation: % Profit with respect to A = 40 + 50 + (40 x 50)/100 = 90 + 20 = 110 %.

प्र: A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ? 2852 0

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    8 m/h
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  • 2
    5 m/h
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  • 3
    7 m/h
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  • 4
    6 m/h
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उत्तर : 2. "5 m/h"
व्याख्या :

Answer: B) 5 m/h Explanation: As the distance travelled is constant, the time taken is inversely proportional to speed. Let 'u' be the speed of the current and 'v' be the speed of the boat. Speed of the boat downstream = v + u & upstream = v - u => v+u/v-u = 30/20 => v/u = 5 => v = 5u => v + u = 6u = 10/20/60 miles/hr => 6u = 30 m/h => u = 5 m/h

प्र: The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ? 2850 1

  • 1
    42.2 mts
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  • 2
    33.45 mts
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  • 3
    66.6 mts
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  • 4
    58.78 mts
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उत्तर : 3. "66.6 mts"
व्याख्या :

Answer: C) 66.6 mts Explanation: From above diagramAC represents the hill and DE represents the tower Given that AC = 100 m angleXAD = angleADB = 30° (∵ AX || BD ) angleXAE = angleAEC = 60° (∵ AX || CE) Let DE = h Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1) tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)∵ BD = CE and Substitute the value of CE from equation 1 100/√3 = 100−h(√3) => h = 66.66 mts The height of the tower = 66.66 mts.

प्र: Which of the following is not soluble in water? 2847 0

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    copper(II) hydroxide
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  • 2
    sodium chloride
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  • 3
    silver nitrate
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  • 4
    potassium sulfate
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उत्तर : 1. "copper(II) hydroxide"
व्याख्या :

Answer: A) copper(II) hydroxide Explanation: Sodium chloride: The solubility rules tell you that all halides are soluble with the exception of those formed with siver, mercury, and lead ions. Since this is not the case here, sodium chloride will be soluble.   Silver nitrate: It is soluble because all nitrates are soluble, without exception.   Potassium sulfate: It is soluble because all sulfates are soluble with the exception of those formed with silver, calcium, barium, mercury, lead, and strontium ions.   Copper (II) hydroxyde: It is insoluble because all hydroxides are insoluble with the exception of those formed with alkali metal ions and barium.

प्र: A train sets off at 3 p.m. at the speed of 70 kmph. Another train starts at 4:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet ? 2846 0

  • 1
    10:10 pm
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  • 2
    9:50 pm
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  • 3
    11:30 pm
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  • 4
    10:30 pm
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उत्तर : 3. "11:30 pm"
व्याख्या :

Answer: C) 11:30 pm Explanation: Distance = 70 x 1 ½ = 105 km Relative Speed = 85 – 70 = 15 Time = 105/15 = 7 hrs 4:30 + 7 hrs = 11.30 p.m.

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