GATE प्रश्न और उत्तर का अभ्यास करें

प्र: 56% of 225 + 20% of 150 = ? - 109   Find the value of '?' in the above equation 5556 0

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    264
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    220
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  • 3
    241
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  • 4
    None
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उत्तर : 1. "264"
व्याख्या :

Answer: A) 264 Explanation: Given 56% of 225 + 20% of 150 = ? - 109 we know that a% of b = b% of a Now, 225% of 56 + 20% of 150 = ? - 109 200% of 56 + 25% of 56 + 20% of 150 = ? - 109 112 + 14 + 30 = ? - 109 ? = 112 + 14 + 30 + 109 ? = 264

प्र: When the European union formed nations began to? 5556 0

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    eliminate their home governments.
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    abolish many geographic boundaries.
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    create one unified education system.
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    cooperate on law enforcement.
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उत्तर : 4. "cooperate on law enforcement."
व्याख्या :

Answer: D) cooperate on law enforcement. Explanation: When the European union formed nations began to cooperate on law enforcement. The European Union is set up with the aim of ending the frequent and bloody wars between neighbours, which culminated in the Second World War.   As of 1950, the European Coal and Steel Community begins to unite European countries economically and politically in order to secure lasting peace. The six founding countries are Belgium, France, Germany, Italy, Luxembourg and the Netherlands. The 1950s are dominated by a cold war between east and west.   The historical roots of the European Union lie in the Second World War. Europeans are determined to prevent such killing and destruction from ever happening again.

प्र: SI unit of equivalent conductance 5549 0

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    ohm/cm
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    Siemens m2/equivalent
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    Siemens/equivalent
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    mho/cm
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उत्तर : 2. "Siemens m2/equivalent"
व्याख्या :

Answer: B) Siemens m2/equivalent Explanation: Equivalent conductance is defined as the conductance of an electrolyte solution containing one gram equivalent of the electrolyte. It is equal to the product of specific conductance (k) of the solution and the volume (V) of the solution that contains one gram equivalent of the electrolyte.    λ = k x V   Unit of spceific conductance k is Siemens / m. Volume of the solution V is m3 Now, required equivalent conductance unit is Siemens.m2/equivalent .

प्र: A man reaches his office 20 min late, if he walks from his home at 3 km per hour and reaches 30 min early if he walks 4 km per hour. How far is his office from his house ? 5520 0

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    20 km
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  • 2
    16 km
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    14 km
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    10 km
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उत्तर : 4. "10 km"
व्याख्या :

Answer: D) 10 km Explanation: Let distance = x km.Time taken at 3 kmph : dist/speed = x/3 = 20 min late.time taken at 4 kmph : x/4 = 30 min earlierdifference between time taken : 30-(-20) = 50 mins = 50/60 hours.x/3- x/4 = 50/60x/12 = 5/6x = 10 km.

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उत्तर : 1. "Loss of 12.5%"
व्याख्या :

Answer: A) Loss of 12.5% Explanation: Let the cost price be Rs. 100Then, market price is Rs. 140Now, the first discount is of 28.57% Rs.140 =~ Rs. 40Hence, its selling price = 140 - 40 = Rs. 100Now since Rana is selling at cost price, any further discount will be equal to loss percentage. The next dicount of 12.5% will be the loss percentage to Rana.

प्र: Find the missing number? 5 19 49 101 181 295 ? 5443 0

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    401
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  • 2
    351
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  • 3
    449
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  • 4
    501
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उत्तर : 3. "449"
व्याख्या :

Answer: C) 449 Explanation: Given number series is 5  19  49  101  181  295 ? Here the series follows pattern that 5   19   49   101   181   295  ?   14   30   52    80     114   (difference)       16  22   28     34 (difference)          6     6     6  (Common difference)   Therefore, the missing number in the series is ? = 295 + 115 + 34 + 6 = 449.

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उत्तर :
व्याख्या :

Day               Play Monday        No playTuesday           PWednesday       SThursday          RFriday              QSaturday          T Answers : From the above table : 1) On Friday play Q was organised. 2) On Monday Noplay  was organised. 3)  On Thursday Play R was organised.

प्र: Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ? 5375 0

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    Rs. 1100
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  • 2
    Rs. 500
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  • 3
    Rs. 1200
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  • 4
    Rs. 700
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उत्तर : 2. "Rs. 500"
व्याख्या :

Answer: B) Rs. 500 Explanation: Let the amounts to be received by P, Q and R be p, q and r.p + q + r = 1200p = 1/2 (q + r) => 2p = q + r Adding 'p' both sides, 3p = p + q + r = 1200=> p = Rs.400 q = 1/3 (p + r) => 3q = p + r Adding 'q' both sides, 4q = p + q + r = 1200=> q = Rs.300 r = 1200 - (p + q) => r = Rs.500.

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