GATE प्रश्न और उत्तर का अभ्यास करें

प्र: Choose apropriate words which gives a complete meaning to the sentence from the given options. we were thinking ______ it _______ something like a requiem for our age. 2013 0

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    for, because
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  • 2
    for, as
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  • 3
    of, as
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  • 4
    of, since
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उत्तर : 3. "of, as"
व्याख्या :

Answer: C) of, as Explanation:

प्र: 5/9 of the part of the population in a village are females. If 30 % of the females are married. The percentage of unmarried males in the total males is ? 2012 0

  • 1
    62.5 %
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  • 2
    125 %
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  • 3
    84.32 %
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  • 4
    46.87 %
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उत्तर : 1. "62.5 %"
व्याख्या :

Answer: A) 62.5 % Explanation: Let total population = p number of females = 5p/9number of males =(p-5p/9) = 4p/9married females = 30% of 5p/9 = 30x5p/100x9 = p/6married males = p/6unmarried males =(4p/9-p/6) = 5p/18Percentage of unmarried males in the total males = {(5p/18)/4p/9}x100 = (5p/18)x(9/4p) = 125/2 % = 62.5%

प्र: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ? 2012 0

  • 1
    205
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  • 2
    194
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  • 3
    209
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    गलत
  • 4
    159
    सही
    गलत
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उत्तर : 3. "209"
व्याख्या :

Answer: C) 209 Explanation: We may have (1 boy and 3 girls)or(2boys and 2 girls)or(3 boys and 1 girl)or(4 boys). Required number of ways = (C16× C34) + C26×C24  + (C36× C14) + (C46)   = (24+90+80+15)  = 209.

प्र: A single pipe of diameter x has to be replaced by six pipes of diameters 12 cm each. The pipes are used to covey some liquid in a laboratory. If the speed/flow of the liquid is maintained the same then the value of x is ? 2011 0

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    14.69 cm
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  • 2
    29.39 cm
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  • 3
    18.65 cm
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  • 4
    22.21 cm
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उत्तर : 2. "29.39 cm"
व्याख्या :

Answer: B) 29.39 cm Explanation: Volume of water flowing through 1 pipe of diameter x = Volume discharged by 6 pipes of diameter 12 cms.   As speed is same, area of cross sections should be same.    Area of bigger pipe of diameter x = Total area of 6 smaller pipes of diameter 12  i.e πR2 = 6πR12    Here R = R and R1 = 12/2 = 6    ⇒R2 = 6×6×6    R = 14.696    => D = X = 14.696 * 2 = 29.3938 cm.

प्र: In a certain Business, the profit is 220% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ? 2011 0

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    61%
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  • 2
    75%
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  • 3
    55%
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  • 4
    81%
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उत्तर : 1. "61%"
व्याख्या :

Answer: A) 61% Explanation: Let C.P.= Rs. 100. Then, Profit = Rs.220,  S.P. = Rs.320.   New C.P. = 125% of Rs. 100 = Rs. 125  New S.P. = Rs.320. Profit = Rs. (320 - 125) = Rs. 195   Required percentage = 195320×100== 60.9 =~ 61%

प्र: Twelve percent of Kalyan's monthly salary is equal to the sixteen per cent of Nandu's monthly salary. Sarnesh's monthly salary is half that of Nandu's monthly salary. If sarnesh's annual salary is Rs. 1.08 lacs, What is Kalyan's monthly salary ? 2010 0

  • 1
    15,000
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  • 2
    36,000
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  • 3
    24,000
    सही
    गलत
  • 4
    12,500
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उत्तर : 3. "24,000"
व्याख्या :

Answer: C) 24,000 Explanation: Let K = Kalyan's monthly salaryN = Nandu's monthly salaryS = Sarnesh's monthly salary.Then from given data, 12% of K = 16% of NS = N/2 => N = 2SK = 16/12 x N = 16/12 x 2S= 16/6 x 1.08/12 = 16/6 x 0.09 = 0.24 lacs = 24,000

प्र: One fathom is equal to how many meters ? 2009 0

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    1.7699
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  • 2
    2.0210
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  • 3
    1.8288
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  • 4
    2.1212
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उत्तर : 3. "1.8288"
व्याख्या :

Answer: C) 1.8288 Explanation: One fathom = 1.8288 meters = 6 feet A fathom is a unit of length used especially for measuring the depth of water.

प्र: 6 boys and 8 girls can do job in 10 days , 26 boys & 48 women do work in 2 days. Find time taken by 15 boys and 20 girls to do same work ? 2008 0

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    2 days
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  • 2
    3 days
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  • 3
    4 days
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  • 4
    5 days
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उत्तर : 3. "4 days"
व्याख्या :

Answer: C) 4 days Explanation: One day work of 6 boys and 8 girls is given as 6b + 8g = 1/10 -------->(I)   One day work of 26 boys and 48 women is given as 26b + 48w = 1/2 -------->(II)   Divide both sides by 2 in (I) and then multiply both sides by 5 Now we get, 15b + 20g = 1/4. Therefore, 15 boys and 20 girls can do the same work in 4 days.

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