GATE Practice Question and Answer
8Q: Two persons Shyam and Rahim can do a job in 32 days together. Rahim can do the same job in 48 days alone. They started working together and after working 8 days Rahim is replaced by a third person Ram whose efficiency is half that of Rahim. Find in how many days the remaining work will be completed by both Shyam and Ram together? 2211 05b5cc6a3e4d2b4197774cc20
5b5cc6a3e4d2b4197774cc20- 116 daysfalse
- 272/5 daystrue
- 315 daysfalse
- 496/5 daysfalse
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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 05b5cc6dde4d2b4197774ea19
5b5cc6dde4d2b4197774ea19- 1Rs. 22.5true
- 2Rs. 2.5false
- 3Rs. 202false
- 4Rs. 25false
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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 05b5cc6b1e4d2b4197774d2fe
5b5cc6b1e4d2b4197774d2fe- 1PTYOPIfalse
- 2PYTOPJfalse
- 3PYTOOJtrue
- 4PYTPOJfalse
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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
Q: An intelligent boy is doing a jigsaw with 275 pieces. Each day that he fits pieces together there are fewer pieces left, and it is reasonable to assume that he fits more pieces each day because the number left to sort out diminishes progressively. Hence he is able to fit an extra piece as each day goes by. On the first day he fits 20 pieces. How many days does it take for him to complete the puzzle ? 2200 05b5cc71ee4d2b4197774f59a
5b5cc71ee4d2b4197774f59a- 111 daystrue
- 215 daysfalse
- 313 daysfalse
- 416 daysfalse
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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 05b5cc74fe4d2b4197774fb3f
5b5cc74fe4d2b4197774fb3f- 1below, for, to, byfalse
- 2under, for, towards, byfalse
- 3up, to, towards, byfalse
- 4under, to, towards, bytrue
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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 05b5cc670e4d2b4197774c052
5b5cc670e4d2b4197774c052- 1the crystalline structure in metalfalse
- 2the interaction of electrons with metal ions in the latticefalse
- 3the presence of electrostatic forcefalse
- 4the capacity of layers of metal ions to slide over the othertrue
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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 05b5cc6e3e4d2b4197774eced
5b5cc6e3e4d2b4197774eced- 1if a > btrue
- 2if a < bfalse
- 3if the relationship between a and b cannot be established.false
- 4if a ≤ bfalse
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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 05b5cc60ae4d2b4197774b5a1
5b5cc60ae4d2b4197774b5a1- 11960false
- 21954false
- 31947true
- 41931false
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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