GATE Practice Question and Answer

Q: A is brother of B, C is daughter of B, D is husband of B, E is daughter of A, What is the relationship between C and D ? 1663 0

  • 1
    Mother & Son
    Correct
    Wrong
  • 2
    Father & Daughter
    Correct
    Wrong
  • 3
    Mother & Daughter
    Correct
    Wrong
  • 4
    Father & Son
    Correct
    Wrong
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Answer : 2. "Father & Daughter"
Explanation :

Answer: B) Father & Daughter Explanation:

Q: At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years  ? 1663 0

  • 1
    4.58 %
    Correct
    Wrong
  • 2
    5.96 %
    Correct
    Wrong
  • 3
    6.52 %
    Correct
    Wrong
  • 4
    4.98 %
    Correct
    Wrong
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Answer : 2. "5.96 %"
Explanation :

Answer: B) 5.96 % Explanation: Difference in amount = 514 - 415 = 99 99 = (415 x 4 x R)/100 R = 5.96%

Q: Molar mass of HNO3? 1663 0

  • 1
    63 g/mol
    Correct
    Wrong
  • 2
    53 g/mol
    Correct
    Wrong
  • 3
    48 g/mol
    Correct
    Wrong
  • 4
    52 g/mol
    Correct
    Wrong
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Answer : 1. "63 g/mol"
Explanation :

Answer: A) 63 g/mol Explanation: Calculation of molar mass of HNO3: Atomic masses of H, N, O are 1, 14, 16 respectively Now the molar mass of HNO3 is HNO3 = 1X1 + 1X14 + 3X16 = 1 + 14 + 48 = 63 g/mol or amu.

Q: 6 divided by 2(1 + 2) = 1662 0

  • 1
    1
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    Can't be determined
    Correct
    Wrong
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Answer : 3. "9"
Explanation :

Answer: C) 9 Explanation: The given expression can be simplified as 6 ÷ 2 (1 + 2) The expression can be simplified further by the order of operations, using BODMAS rule.   First evaluate Parentheses/Brackets, then evaluate Exponents/Orders, then evaluate Multiplication-Division, and finally evaluate Addition-Subtraction.   Now, the expression becomes 6 ÷ 2 (3)   According to the order of operations, division and multiplication have the same precedence, so the correct order is to evaluate from left to right. First take 6 and divide it by 2, and then multiply by 3. 6 ÷ 2 × 3 = 3 × 3 = 9 But not  6÷2×3 = 6 ÷ 6 = 1     Hence, 6 ÷ 2 (1 + 2) = 9.

Q: What is the capital of Bhutan ? 1661 0

  • 1
    Dhaka
    Correct
    Wrong
  • 2
    Thimphu
    Correct
    Wrong
  • 3
    Tripoli
    Correct
    Wrong
  • 4
    Tokyo
    Correct
    Wrong
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Answer : 2. "Thimphu"
Explanation :

Answer: B) Thimphu Explanation:

Q: On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is  ? 1661 0

  • 1
    476190476
    Correct
    Wrong
  • 2
    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: Every year before the festive season, a brand store increases the price of the product by 42% and then introduce two successive discount of 10% and 11% respectively. What is percentage loss and percentage gain ? 1660 0

  • 1
    3.25% loss
    Correct
    Wrong
  • 2
    13.742% loss
    Correct
    Wrong
  • 3
    3.25% gain
    Correct
    Wrong
  • 4
    13.742% gain
    Correct
    Wrong
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Answer : 4. "13.742% gain"
Explanation :

Answer: D) 13.742% gain Explanation: Let CP = 100,42 % increase => SP = 14210 % discount in SP => ((142 x 10)/100) = 14.2So 1st SP = (142 - 14.2) = 127.8, again 12 % discount in 1st SP ((127.8 x 11)/100) = 14.0582nd SP = (127.8 - 14.058) = 113.742, So finally CP = 100, SP = 113.742, => gain = 13.742%.

Q: Two candidates fought in a municipality election. One of them got 54% of the total votes pooled and won by 1080 votes. What was the total number of votes polled ? 1660 0

  • 1
    12000
    Correct
    Wrong
  • 2
    13500
    Correct
    Wrong
  • 3
    15400
    Correct
    Wrong
  • 4
    11000
    Correct
    Wrong
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Answer : 2. "13500"
Explanation :

Answer: B) 13500 Explanation: Given in municipality election 54% votes have won by 1080   Let the total number of votes be x.    54x100 - 46x100 = 1080   8x = 108000   x = 13,500   Therefore, total number of votes = 13,500.

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