GATE Practice Question and Answer

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Answer : 2. "72/5 days"
Explanation :

Answer: B) 72/5 days Explanation: Work done by Shyam and Rahim in 8 days = 8/32 = 1/4 Remaining work to be done by Shyam and Ram = 1 - 1/4 = 3/4 Given efficieny of Ram is half of Rahim i.e, as Rahim can do the work in 48 days, Ram can do the work in 24 days. One day work of Ram and Shyam = (1/32 - 1/48) + 1/24 = 5/96 Hence, the total work can be done by Shyam and Ram together in 96/5 days.   Therefore, remaining work 3/4 can be done by them in 3/4 x 96/5 = 72/5 = 14.4 days.

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.  ? 2204 0

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    Rs. 22.5
    Correct
    Wrong
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    Rs. 2.5
    Correct
    Wrong
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    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

Q: FRIEND : FPIBNZ :: PATRON : ? 2201 0

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    PTYOPI
    Correct
    Wrong
  • 2
    PYTOPJ
    Correct
    Wrong
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    PYTOOJ
    Correct
    Wrong
  • 4
    PYTPOJ
    Correct
    Wrong
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Answer : 3. "PYTOOJ"
Explanation :

Answer: C) PYTOOJ Explanation: FRIEND : FPIBNZ Follows a pattern that, F - F R- second letter to left of R i.e, P I - I E - Third letter to left of E i.e, B N - N D - Fourth letter to left of D i.e, Z Similarly, for PATRON  P - P A -  second letter to left of A i.e, Y T - T R - Third letter to left of R i.e, O O - O N - Fourth letter to left of N i.e, J PATRON : PYTOOJ   Therefore, FRIEND : FPIBNZ :: PATRON : PYTOOJ

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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: Fill in the blanks with suitable prepositions from the given options. The dog was sitting _______ the table waiting _______ catch the ball that was thrown ________ him _________ his master. 2196 0

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    below, for, to, by
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    under, for, towards, by
    Correct
    Wrong
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    up, to, towards, by
    Correct
    Wrong
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    under, to, towards, by
    Correct
    Wrong
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Answer : 4. "under, to, towards, by"
Explanation :

Answer: D) under, to, towards, by Explanation: The dog was sitting under the table waiting to catch the ball that was thrown towards him by his master.

Q: Malleability and Ductility of metals can be accounted due to 2196 0

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    the crystalline structure in metal
    Correct
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    the interaction of electrons with metal ions in the lattice
    Correct
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    the presence of electrostatic force
    Correct
    Wrong
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    the capacity of layers of metal ions to slide over the other
    Correct
    Wrong
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Answer : 4. "the capacity of layers of metal ions to slide over the other"
Explanation :

Answer: D) the capacity of layers of metal ions to slide over the other Explanation:

Q: I. a2-7a+12 = 0, II. b2-3b+2 = 0 Solve both the equations to find the values of a and b  ? 2196 0

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    if a > b
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    if a < b
    Correct
    Wrong
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    if the relationship between a and b cannot be established.
    Correct
    Wrong
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    if a ≤ b
    Correct
    Wrong
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Answer : 1. "if a > b"
Explanation :

Answer: A) if a > b Explanation: I.  (a - 3)(a - 4) = 0   => a = 3, 4   II.   (b - 2)(b - 1) = 0   => b = 1, 2   => a > b

Q: 82.5% of 2360? 2194 0

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    1960
    Correct
    Wrong
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    1954
    Correct
    Wrong
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    1947
    Correct
    Wrong
  • 4
    1931
    Correct
    Wrong
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Answer : 3. "1947"
Explanation :

Answer: C) 1947 Explanation: Given 82.5% of 2360  82.5100 x 2360 = 0.825 x 2360 = 1947

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