GATE Practice Question and Answer

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Answer :
Explanation :

One grandfather, One father and One son makes two fathers and two sons.

Q: The interest on a certain deposit at 4.5% p.a. is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a.  ? 2372 0

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    Rs. 22.5
    Correct
    Wrong
  • 2
    Rs. 2.5
    Correct
    Wrong
  • 3
    Rs. 202
    Correct
    Wrong
  • 4
    Rs. 25
    Correct
    Wrong
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Answer : 1. "Rs. 22.5"
Explanation :

Answer: A) Rs. 22.5 Explanation: We know that I = PTR/100=> P = 20250/4.5 = 4500Now, new Interest at 5% = 4500x1x5/100 = 225Now the additional amount = 225 - 202.5 = Rs. 22.5

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Answer : 1. "11 days"
Explanation :

Answer: A) 11 days Explanation: Let 'n' number of days it take to complete.   we know that sum of n number= n/2[2a+(n-1)d]where a=20,d=1;n/2[2x20+(n-1)1]=275n[n+39]=550n2 + 39n - 550 = 0 n2+ 50n - 11n - 550 = 0(n-11) (n-50) = 0n-11 = 0;n = 11(Days).

Q: Which statement is true of all atoms that are anions? 2370 0

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    The atom has fewer protons than does a neutral atom of the same element.
    Correct
    Wrong
  • 2
    The atom has more protons than electrons.
    Correct
    Wrong
  • 3
    The atom has more neutrons than protons.
    Correct
    Wrong
  • 4
    The atom has more electrons than protons.
    Correct
    Wrong
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Answer : 4. "The atom has more electrons than protons."
Explanation :

Answer: D) The atom has more electrons than protons. Explanation: Anions are atoms or radicals (groups of atoms), that have gained electrons. Since they now have more electrons than protons, anions have a negative charge.

Q: Three strategies P, Q and R have been initiated for cost cutting in a company producing respectively 20%, 30% and 10% savings. Assuming that they operate independently, what is the net saving achieved ? 2366 0

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    49.6%
    Correct
    Wrong
  • 2
    50.4%
    Correct
    Wrong
  • 3
    33.67%
    Correct
    Wrong
  • 4
    66.66%
    Correct
    Wrong
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Answer : 1. "49.6%"
Explanation :

Answer: A) 49.6% Explanation: As these three strategies P, Q and R are independent so these will cut cost one after the other.If initial cost is Rs 100, then20% cost is cut after initializing strategy P, then cost will remain 80% = 80further 30% cost is cut after strategy Q, then cost will remain 70% of 80 = 56further 10% cost is cut after strategy R, then cost will remain 90% of 56 = 50.4 Thus final cost remains 50.4 % of the original cost. Hence net saving is 100 - 50.4 = 49.6 %.

Q: 12 year old Manish is three times as old as his brother Rajeev. How old will Manish be when he is twice as old as Rajeev ? 2365 0

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    12 yrs
    Correct
    Wrong
  • 2
    14 yrs
    Correct
    Wrong
  • 3
    16 yrs
    Correct
    Wrong
  • 4
    18 yrs
    Correct
    Wrong
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Answer : 3. "16 yrs"
Explanation :

Answer: C) 16 yrs Explanation: 12 year old Manish is three times as old as his brother Rajeev who must be 4 years old.Diff in ages = 8 years.when Rajeev will become 8 years old, Manish will be 16 yrs old and he will be twice as old as Rajeev.

Q: Which of the following is the strongest base? 2364 0

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    LiCH3
    Correct
    Wrong
  • 2
    LiF
    Correct
    Wrong
  • 3
    LiOH
    Correct
    Wrong
  • 4
    LiNH2
    Correct
    Wrong
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Answer : 1. "LiCH3"
Explanation :

Answer: A) LiCH3 Explanation: The stability of the ions is determined by the energy of the lone pairs. Carbon has the least effective nuclear charge (Zeff) and so the lone pair on the CH3− ion has the highest energy, making it the least stable ion and so the strongest base. The Zeff increases as we move across the period until we get to fluorine which has the greatest Zeff and so its lone pairs have the lowest energy, making F− the least basic ion.   In order of decreasing basicity they are ranked LiCH3 > LiNH2 > LiOH > LiF. We are dealing with the ions F−, OH−, NH2− and CH3− and so the factor which influences their basicity is the stability of the ion compared to its conjugate acid.

Q: Rs. 69 were divided among 115 family members so that each lady gets 50 paise less than each gentleman, and each gentleman received twice the paise as each lady received. Find the number of  gentlemen in the family? 2363 0

  • 1
    23
    Correct
    Wrong
  • 2
    92
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    52
    Correct
    Wrong
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Answer : 1. "23"
Explanation :

Answer: A) 23 Explanation: Total number of female members = 115 Let the number of males = x Number of females = y => x + y = 115  ......(1) According to the given data, x + y(0.50) = 69 ......(2) From (1) & (2), we get 0.5y = 46 => y = 46 x 2 = 92 => x = 115 - 92 = 23   Hence, required number of gentlemen in the family = x = 23.

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