GATE Practice Question and Answer

Q: On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is  ? 1566 0

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    476190476
    Correct
    Wrong
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    48617
    Correct
    Wrong
  • 3
    47619
    Correct
    Wrong
  • 4
    4587962
    Correct
    Wrong
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Answer : 3. "47619"
Explanation :

Answer: C) 47619 Explanation: By hit and trail, we find that 47619 x 7 = 333333. 7) 333333 (47619    333333----------------        0 And 476190476 x 7 = 3333333333 but smallest number is 47619.

Q: Which law relates to the ideal gas law? 1566 0

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    P1T1 = P2T2
    Correct
    Wrong
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    P1/V1 = P2/V2
    Correct
    Wrong
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    P1V1 = P2V2
    Correct
    Wrong
  • 4
    T1/V1 = T2/V2
    Correct
    Wrong
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Answer : 3. "P1V1 = P2V2"
Explanation :

Answer: C) P1V1 = P2V2 Explanation: Ideal Gas Law :: The Combined gas law or General Gas Equation is obtained by combining Boyle's Law, Charles' Law, and Gay-Lussac's Law. It shows the relationship between the pressure, volume, and temperature for a fixed mass (quantity) of gas: P1V1T1 = P2V2T2   Hence, the Boyle's law P1V1 = P2T2, relates to ideal gas equation.

Q: An item is sold at a loss of 10%. Had it sold for Rs. 9 more, a profit of 25/2% would have gained. What is the cost price of the item? 1565 0

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    Rs. 90
    Correct
    Wrong
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    Rs. 75
    Correct
    Wrong
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    Rs. 55
    Correct
    Wrong
  • 4
    Rs. 40
    Correct
    Wrong
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Answer : 4. "Rs. 40"
Explanation :

Answer: D) Rs. 40 Explanation: Let the cost price of the item = Rs. 50 Sold at 10% loss => for Rs. 50 loss  S.P = Rs. 45 From the  given data, 25/2 % gain if it is sold at Rs. 9 more 56.25 - 45 = 9 => 11.25 = 9 => 22.5 = 18 => 45 = 36 => 50 = ? => C.P = 50 x 3645 = 40   Hence, the Cost price of the item = Rs. 40.

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Answer :
Explanation :

Given A,B,C can complete a work in 15,20 and 30 respectively. The total work is given by the LCM of 15, 20, 30 i.e, 60. A's 1 day work = 60/15 = 4 units B's 1 day work = 60/20 = 3 units C's 1 day work = 60/30 = 2 units (A + B + C) worked for 2 days = (4 + 3 + 2) 2 = 18 units  Let B + C worked for x days = (3 + 2) x = 5x units C worked for 2 days = 2 x 2 = 4 units Then, 18 + 5x + 4 = 60 22 + 5x = 60 5x = 38 x = 7.6   Therefore, total number of days taken to complete the work = 2 + 7.6 + 2 = 11.6 = 11 3/5 days.

Q: What name is given to the bond between water molecules? 1563 0

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    Polar
    Correct
    Wrong
  • 2
    Polar covalent
    Correct
    Wrong
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    Hydrogen
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 3. "Hydrogen"
Explanation :

Answer: C) Hydrogen Explanation: The name given to the bond between water molecules is a hydrogen bond. These bonds occur between the slightly negative oxygen of one water molecule and the slightly positive hydrogen of another water molecule. Hydrogen bonding gives water special physical properties.   The differences in electronegativity between hydrogen and oxygen lead to an unequal sharing of electrons. Electronegativity measures how strongly an atom attracts electrons. Oxygen, with its higher electronegativity, pulls on the shared electrons more, giving the oxygen atom a partial net negative charge. The shared electrons spend less time with the hydrogen atoms; therefore, the hydrogen regions of water have partial positive charges.

Q: In the following question, two equations numbered 1 and 2 are given. You have to solve both the equations and determine the relation between a and b. 1.  5a2-18a+9=0 2.  3b2+5b-2=0 1562 0

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    a >= b
    Correct
    Wrong
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    a <= b
    Correct
    Wrong
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    a < b
    Correct
    Wrong
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    a > b
    Correct
    Wrong
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Answer : 4. "a > b"
Explanation :

Answer: D) a > b Explanation: From solving 1 and 2 we get,   1. 5a(a-3)-3(a-3) = 0   (5a-3)(a-3) = 0   a = 3 or 3/5   2.    3b(b+2)-1(b+2) = 0   b = -2 or b = 1/3   Here when a = 3, a > b for b = -2 and b = 1/3   when a = 3/5. a > b for b = -2 and b = 1/3.   Hence, it is clear that a > b.

Q: In a triangle ABC, angle 'a' is the smallest one & A+7B = 112. Find the range of value 'c' ? 1562 0

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    138 to 164
    Correct
    Wrong
  • 2
    125 to 147
    Correct
    Wrong
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    148 to 158
    Correct
    Wrong
  • 4
    152 to 164
    Correct
    Wrong
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Answer : 4. "152 to 164"
Explanation :

Answer: D) 152 to 164 Explanation: A+7B=112 it is clear that A = 14, then it becomes A>=B, but A is smallest angle) givenso, range of A is 0.0001 to 13.9999 ( I am taking upto 4 decimal places)so, range of B becomes 14 to 16 ( after rounding off to 4 decimal places)so, range of C becomes 152 to 164 ( after rounding off to 4 decimal places)

Q: The breadth of a rectangular field is 75% of its length. If perimeter of the field is 1050 m, what will be th area of field ? 1561 0

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    65700 sq.m
    Correct
    Wrong
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    54500 sq.m
    Correct
    Wrong
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    78700 sq.m
    Correct
    Wrong
  • 4
    67500 sq.m
    Correct
    Wrong
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Answer : 4. "67500 sq.m"
Explanation :

Answer: D) 67500 sq.m Explanation: Let the length be 'l' and breadth be 'b'. b = l × 3/4__________(a) 2(l+b) = 1050 l+b = 525___________(b) From equations (a) and (b), l = 300m, b = 225 m Area = l × b = 300 × 225 = 67500 sq.m.

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