GATE Practice Question and Answer

Q: What is the gram formula mass of K2CO3? 1902 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: The ratio of present ages of X and Y is 4:5. Which of the following can't be the ratio of ages of X and Y, 20 years ago ? 1901 0

  • 1
    2 : 5
    Correct
    Wrong
  • 2
    8 : 15
    Correct
    Wrong
  • 3
    9 : 10
    Correct
    Wrong
  • 4
    3 : 5
    Correct
    Wrong
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Answer : 3. "9 : 10"
Explanation :

Answer: C) 9 : 10 Explanation: The ratio of X and Y ages at present is 4:5.  Then, the ratio 20 years ago will not be more than the ratio at present. So, from the options 9:10 is not satifying => its ratio is 0.9 which is greater than presnt ratio of 0.8.

Q: In how many ways the letters of the word OLIVER be arranged so that the vowels in the word always occur in the dictionary order as we move from left to right ? 1901 0

  • 1
    186
    Correct
    Wrong
  • 2
    144
    Correct
    Wrong
  • 3
    136
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
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Answer : 4. "120"
Explanation :

Answer: D) 120 Explanation: In given word OLIVER there are 3 vowels E, I & O. These can be arranged in only one way as dictionary order E, I & O.   There are 6 letters in thegiven word.   First arrange 3 vowels.   This can be done in 6C3 ways and that too in only one way.(dictionary order E, I & O)   Remaining 3 letters can be placed in 3 places = 3! ways   Total number of possible ways of arranging letters of OLIVER = 3! x C36 ways = 6x5x4 = 120 ways.

Q: If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is   ? 1900 0

  • 1
    Rs. 580
    Correct
    Wrong
  • 2
    Rs. 480
    Correct
    Wrong
  • 3
    Rs. 550
    Correct
    Wrong
  • 4
    Rs. 470
    Correct
    Wrong
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Answer : 2. "Rs. 480"
Explanation :

Answer: B) Rs. 480 Explanation: Let the sum be Rs. P. Then,   P1+252x1002-P= 510   P[982- 1] = 510.   Sum = Rs. 1920   So, S.I. = (1920 x 25 x 2) / (2 x 100) = Rs. 480

Q: Simplify the following and find the value of ?   13 of ? + 47 of 114 of 539 = 31% of 2000 1900 0

  • 1
    1134
    Correct
    Wrong
  • 2
    1237
    Correct
    Wrong
  • 3
    1187
    Correct
    Wrong
  • 4
    1249
    Correct
    Wrong
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Answer : 1. "1134"
Explanation :

Answer: A) 1134 Explanation: 13 x ? + 47 x 114 x 539 = 31100 x 2000? = 378 x 3? = 1134

Q: Choose the synonym of 'Hypothesis' from the following options ? 1899 0

  • 1
    Theory
    Correct
    Wrong
  • 2
    Fascination
    Correct
    Wrong
  • 3
    Complexity
    Correct
    Wrong
  • 4
    Falling
    Correct
    Wrong
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Answer : 1. "Theory"
Explanation :

Answer: A) Theory Explanation: 'Hypothesis' is a word that gives a brief explanation of the concepts based on the limited evidence. The word 'theory' is closest in meaning to it.

Q: Which of these molecules are polar? Check all that apply. 1899 0

  • 1
    SO2
    Correct
    Wrong
  • 2
    CH2Cl2
    Correct
    Wrong
  • 3
    PCl3
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 4. "All the above"
Explanation :

Answer: D) All the above Explanation:    1) SO2                  2) CH2Cl2                3) PCl3 How to check the given molecules are polar or non polar : If the electronegativity of the two bonded atoms are different then the bond is polar. Although, some molecules contain polar bonds, the molecule may be non-polar. If the polarity of all the bonds present in the molecule are cancel each other then molecule is non-polar.   In the given options, SO2  is polar because the dipole moments on the O do not cancel. PCl3  is polar because the P-Cl bonds do not cancel out. CH2Cl2  polar because the C-Cl bonds do not cancel.   Hence, in brief, Polar molecules are molecules with net dipole due to the presence of partial positive and partial negative charge. For example, water is a polar molecule that has partial positive and partial negative charge on it. CO2 is a non polar compound.   Therefore, all the given options SO2, CH2Cl2 and PCl3 are Polar molecules.

Q: Simplify 39.96% of 649.85 ÷13.07 = 45.14 - ? 1899 0

  • 1
    25
    Correct
    Wrong
  • 2
    26
    Correct
    Wrong
  • 3
    27
    Correct
    Wrong
  • 4
    28
    Correct
    Wrong
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Answer : 1. "25"
Explanation :

Answer: A) 25 Explanation: This can be easily simplified by Approximation process Given 39.96% of 649.85 ÷13.07 = 45.14 - ? can be written as  40% of 650 ÷13 = 45 - ?   40 x 65010013 = 45 - ?? = 45 - 20? = 25.

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