GATE Practice Question and Answer

Q: What is the gram formula mass of K2CO3? 2205 0

  • 1
    147
    Correct
    Wrong
  • 2
    138
    Correct
    Wrong
  • 3
    129
    Correct
    Wrong
  • 4
    116
    Correct
    Wrong
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Answer : 2. "138"
Explanation :

Answer: B) 138 Explanation: The gram formula mass of a compound is nothing but the molar mass. The molar mass of K2CO3 (Potassium Carbonate) is given by Atomic weights of individual elements are   K (Potassium) = 39 g C (Carbon) = 12 g O (Oxygen) = 16 g   Hence, that of K2CO3 = 39(2) + 12 + 16(3) = 78 + 12 + 48 = 138.

Q: How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 ft long and 4 ft wide ? 2204 0

  • 1
    9216
    Correct
    Wrong
  • 2
    10246
    Correct
    Wrong
  • 3
    12345
    Correct
    Wrong
  • 4
    7527
    Correct
    Wrong
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Answer : 1. "9216"
Explanation :

Answer: A) 9216 Explanation: It takes four of those little squares -- each one 1/2 inch on a side -- to cover one square inch. That's because each one is 1/2 x 1/2, or 1/4 of a square inch. In a rectangle that is 48 inches by 48 inches, there are 2304 square inches.(1 ft = 12 inches) Since it takes 4 little squares to cover 1 sq inch, then it would need 2304 x 4 squares (1/2 inch on a side each) to cover a rectangle 4 feet by 4 feet. That is 9,216 of those squares.

Q: Whale : Mammal :: Rat : ? 2204 0

  • 1
    Rodent
    Correct
    Wrong
  • 2
    Mammal
    Correct
    Wrong
  • 3
    Amphibian
    Correct
    Wrong
  • 4
    Reptile
    Correct
    Wrong
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Answer : 1. "Rodent"
Explanation :

Answer: A) Rodent Explanation: Whale belongs to Mammal category whereas Rat belongs to Rodent.

Q: Multiplicative inverse of 0 2204 0

  • 1
    0
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    infinity
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 4. "None of the above"
Explanation :

Answer: D) None of the above Explanation: In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero).   Hence, 0 doesn't have any multiplicative inverse.

Q: I shrink smaller every time I take a bath. What am I ? 2203 0

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Answer :
Explanation :

A Soap. Yes, it gets shrinks smaller every time we take a bath.

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated ? 2203 0

  • 1
    15
    Correct
    Wrong
  • 2
    20
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 2. "20"
Explanation :

Answer: B) 20 Explanation: Since each number to be divisible by 5, we must have 5 0r 0 at the units place. But in given digits we have only 5.   So, there is one way of doing it.   Tens place can be filled by any of the remaining 5 numbers.So, there are 5 ways of filling the tens place.   The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.   Required number of numbers = (1 x 5 x 4) = 20.

Q: How much does a gallon of water weigh? 2203 0

  • 1
    2.741 kgs
    Correct
    Wrong
  • 2
    2.956 kgs
    Correct
    Wrong
  • 3
    3.418 kgs
    Correct
    Wrong
  • 4
    3.785 kgs
    Correct
    Wrong
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Answer : 4. "3.785 kgs"
Explanation :

Answer: D) 3.785 kgs Explanation: 1 Gallon = 3.785 kgs Gallon is a unit of measurement of liquid. We know that 1 gallon = 3.785 liters But we know that, 1 cubic meter = 1000 lit or 1000 kgs => 1 lit = 1 kg Hence,  1 gallon = 3.785 lit = 3.785 kgs.

Q: A quantity of tea is sold at Rs. 5.75 per kilogram. The total gain by selling the tea at this rate is Rs. 60. Find the quantity of tea being sold if a profit of 15% is made on the deal ? 2202 0

  • 1
    72 kgs
    Correct
    Wrong
  • 2
    80 kgs
    Correct
    Wrong
  • 3
    76 kgs
    Correct
    Wrong
  • 4
    84 kgs
    Correct
    Wrong
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Answer : 2. "80 kgs"
Explanation :

Answer: B) 80 kgs Explanation: Say total cost price of tea is x.Then total profit at a rate of 15% is = (15x/100)According to question,15x/100 = 60so x = 400C.p of the tea is Rs. 400.so total selling price will be = (400+60) = Rs.460so the quantity of the tea will be = (460/5.75) = 80kg.

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