GATE Practice Question and Answer
8Q: On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is ? 1566 05b5cc6dfe4d2b4197774eac6
5b5cc6dfe4d2b4197774eac6- 1476190476false
- 248617false
- 347619true
- 44587962false
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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 05b5cc683e4d2b4197774c2ea
5b5cc683e4d2b4197774c2ea- 1P1T1 = P2T2false
- 2P1/V1 = P2/V2false
- 3P1V1 = P2V2true
- 4T1/V1 = T2/V2false
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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 05b5cc688e4d2b4197774c2f0
5b5cc688e4d2b4197774c2f0- 1Rs. 90false
- 2Rs. 75false
- 3Rs. 55false
- 4Rs. 40true
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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.
Q: A,B,C can complete a work in 15,20 and 30 respectively.They all work together for two days then A leave the work,B and C work some days and B leaves 2 days before completion of that work.how many days required to complete the whole work? 1565 05b5cc690e4d2b4197774c45f
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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 05b5cc622e4d2b4197774b7c9
5b5cc622e4d2b4197774b7c9- 1Polarfalse
- 2Polar covalentfalse
- 3Hydrogentrue
- 4None of the abovefalse
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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 05b5cc6cae4d2b4197774e09f
5b5cc6cae4d2b4197774e09f- 1a >= bfalse
- 2a <= bfalse
- 3a < bfalse
- 4a > btrue
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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 05b5cc6f4e4d2b4197774efe6
5b5cc6f4e4d2b4197774efe6- 1138 to 164false
- 2125 to 147false
- 3148 to 158false
- 4152 to 164true
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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 05b5cc6c8e4d2b4197774df0a
5b5cc6c8e4d2b4197774df0a- 165700 sq.mfalse
- 254500 sq.mfalse
- 378700 sq.mfalse
- 467500 sq.mtrue
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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.

