GATE Practice Question and Answer

Q: Prashanth sold a album for $ 735 and made a profit of 22.5% . The cost price of the album went up by $120 and so Prashanth increased the selling price by $120. What is his profit % now ? 1721 0

  • 1
    19.32 %
    Correct
    Wrong
  • 2
    18.75 %
    Correct
    Wrong
  • 3
    21.41 %
    Correct
    Wrong
  • 4
    22 %
    Correct
    Wrong
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Answer : 2. "18.75 %"
Explanation :

Answer: B) 18.75 % Explanation: Prashanth sold a album for $ 735 and made a profit of 22.5% .CP = 735 x 100/122.5 = Rs. 600New CP = 600 + 120 = Rs. 720New SP = 735 + 120 = Rs. 855. Profit = Rs. 135. profit % = 100 x 135/720 = 18.75%.

Q: Compound interest on a certain sum of money at 20% per annum for 2 years is Rs.5995. What is the SI on the same money at 8% per annum for 6 years ? 1721 0

  • 1
    Rs. 5989
    Correct
    Wrong
  • 2
    Rs. 6540
    Correct
    Wrong
  • 3
    Rs. 7844
    Correct
    Wrong
  • 4
    Rs. 6789
    Correct
    Wrong
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Answer : 2. "Rs. 6540"
Explanation :

Answer: B) Rs. 6540 Explanation: Given C.I = 5984, R = 20% , T = 2yrs  C.I = P1+201002-1   5984 =    => P = (5995x25)/11   P = Rs. 13625   Now S.I = PTR/100   SI = (13625 x 8 x 6)/100 = Rs. 6540

Q: What is the systematic name of Mg(NO3)2? 1721 0

  • 1
    Manganese nitrite
    Correct
    Wrong
  • 2
    Magnesium nitrite
    Correct
    Wrong
  • 3
    Magnesium nitrate
    Correct
    Wrong
  • 4
    Manganese nitrate
    Correct
    Wrong
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Answer : 3. "Magnesium nitrate"
Explanation :

Answer: C) Magnesium nitrate Explanation: Mg(NO3)2 is Magnesium nitrate.   In the case of Mg(NO3)2, the metal in the compound is magnesium (Mg), and the non-metal here is called the nitrate ion (NO3). This makes the name of the compound simply magnesium nitrate.

Q: Find the Next Number in the given number series? 3, 10.5, 36.75, 128.625, ? 1721 0

  • 1
    450.187
    Correct
    Wrong
  • 2
    442.151
    Correct
    Wrong
  • 3
    441.231
    Correct
    Wrong
  • 4
    456.852
    Correct
    Wrong
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Answer : 1. "450.187"
Explanation :

Answer: A) 450.187 Explanation: Pattern is 3 3 x 3.5 = 10.5 10.5 x 3.5 = 36.75 36.75 x 3.5 = 128.625 128.625 x 3.5 = 450.187

Q: 50 men can build a tank in 40days, but though they begin the work together, 5 men quit every ten days. The time needed to build the tank is ? 1718 0

  • 1
    50 days
    Correct
    Wrong
  • 2
    48 days
    Correct
    Wrong
  • 3
    47.5 days
    Correct
    Wrong
  • 4
    49 days
    Correct
    Wrong
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Answer : 1. "50 days"
Explanation :

Answer: A) 50 days Explanation: 50 men can build a tank in 40 days  Assume 1 man does 1 unit of work in 1 day Then the total work is 50×40 = 2000 units   50 men work in the first 10 days and completes 50×10 = 500 units of work 45 men work in the next 10 days and completes 45×10 = 450 units of work 40 men work in the next 10 days and completes 40×10 = 400 units of work 35 men work in the next 10 days and completes 35×10 = 350 units of work So far 500 + 450 + 400 + 350 = 1700 units of work is completed and   Remaining work is 2000 - 1700 = 300 units   30 men work in the next 10 days. In each day, they does 30 units of work.   Therefore, additional days required = 300/30 =10   Thus, total 10+10+10+10+10 = 50 days required.

Q: Which sentence is written correctly? 1718 0

  • 1
    They never watch no movie during the working days, but in holidays they watch one movie.
    Correct
    Wrong
  • 2
    They never watch none movie during the working days, but in holidays they watch one movie.
    Correct
    Wrong
  • 3
    They don't never watch any movie during the working days, but in holidays they watch one movie.
    Correct
    Wrong
  • 4
    They watch no movie during the working days, but in holidays they watch one movie.
    Correct
    Wrong
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Answer : 4. "They watch no movie during the working days, but in holidays they watch one movie."
Explanation :

Answer: D) They watch no movie during the working days, but in holidays they watch one movie. Explanation: They watch no movie during the working days, but in holidays they watch one movie. is correctly written among the given options.

Q: The ratio of K’s and M’s ages is 4: 5. If the difference between the present age of M and the age of K, 5 years hence is 3 years, then what is the difference and total of present ages of K and M? 1717 0

  • 1
    8, 72 yrs
    Correct
    Wrong
  • 2
    16, 65 yrs
    Correct
    Wrong
  • 3
    12, 84 yrs
    Correct
    Wrong
  • 4
    10, 60 yrs
    Correct
    Wrong
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Answer : 1. "8, 72 yrs"
Explanation :

Answer: A) 8, 72 yrs Explanation: Let the present ages be K,M Given K/M = 4/5 5K - 4M = 0 ......(1) Also given that, M - (K + 5) = 3 M - K = 8 .........(2) Then, by solving (1) & (2) M = 40 yrs and K = 32 yrs Hence, Total of ages = 40 + 32 = 72 yrs Difference of ages = 40 - 32 = 8 yrs.

Q: A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in    ? 1717 0

  • 1
    20 hrs
    Correct
    Wrong
  • 2
    28 hrs
    Correct
    Wrong
  • 3
    36 hrs
    Correct
    Wrong
  • 4
    40 hrs
    Correct
    Wrong
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Answer : 1. "20 hrs"
Explanation :

Answer: A) 20 hrs Explanation: 1/8 - 1/x = 1/10  => x = 40 hrs

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