Monday 15 June 2015

ADURO SPRINT - JUNE 15 - Solutions

TEST - https://docs.google.com/forms/d/1gqv_xYiXJxtk84MAehKTuEIaa1yGC41Y0u7eNmAbZJM/viewform


SOLUTIONS 

1

. c Let d be the common difference and a be the first term of AP. The fifth term of the series will be a + 4d. If a + 4d is divisible by d then a should also be divisible by d. Hence the cases are: d = 1, a = 1, 2, 3,….16 d = 2, a = 2, 4, 6,….12 d = 3, a = 3, 6 d = 4, a = 4 So the answer is 16 + 6 + 2 + 1 = 25.

2

 b There are 4 parcels, which would result in 4C2 = 6 pairs but it is given that there are only 4 distinct weights. This can only happen when there are some weights which are identical. Out of the 4 numbers here, 2 are odd and 2 are even. So the weight of the identical pair must be either 94 kg or 104 kg. If it is 94 kg, the equal weights must be 47 kg each. This means that the other two weights must be 50 kg and 54 kg. So the 4 parcels will weigh 47 kg, 47 kg, 50 kg and 54 kg. If it is 104 kg, the equal weights must be 52 kg each. This means that the other two weights must be 45 kg and 49 kg. So the 4 parcels will weigh 45 kg, 49 kg, 52 kg and 52 kg.

3

b On 1st April 2001, GOPALs watch will correctly show the date as '1' as March has 31 days only. From 1st April 2001 to 30th April 2002 a total of 13 months or 365 + 30 = 395 days would have passed. So the date shown by GOPAL's watch on 30th April, 2002 must be 395 - 12 × 31  = 23.

4

 b The entire paragraph talks about how extinction occurs. Statements A, D and B all discuss how the commoner species quickly overpower the more rare ones. Statements E and C are conclusions based on these statements. Mandatory pairs would be (A-D) and (B-C).



5. a The word in the first blank has to be a negative one. We have clues in phrases like 'toxic mixture of secrecy'. Out of the options 'hobbled', 'paralysed' and 'beleaguered would all fit the first blank. However, the second blank is the decisive factor. Option (d) can be eliminated as 'persecuted' means 'oppressed' or 'tormented'. This is inappropriate in the given context as 'persecution' implies an agent that is acting to grieve or injure somebody. Here we need a word like 'hampered', which would mean being held back or impeded by something. Option (c) comes the closest. However, the use of the word 'scuttled' would be too extreme in the given context. 'Scuttled' means 'destroyed or wrecked'. An organization paralysed by secrecy and then destroyed by too much information? 'Bedevilled' fits best out of the options. It means 'cause great and continual trouble'





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