Q1. In this graph, the parts marked by “Data Not Available” may have belonged to one or more of all the participating countries.
Q 1.1 What was the ratio of the number of gold medals won by Singapore to the number of silver medals won by Jordon ?
A. 21:31
B. 4:5
C. 31:33
D. 29:31
E. Cannot be determined
Solution:
Option(
D) is correct
At the end of each event exactly one each of gold, silver and bronze medals were awarded hence the total number of gold or silver or bronze medals must be the same.
Let there be NN number each of gold, silver and bronze medals.
Number of gold medals won by Singapore:
=29N200=29N200
Number of Silver medals won by Jordon:
=31N200=31N200
Hence the required ratio is 29:31.
Q 1.2 The total number of medals won by India was at least what percentage of the total number of medals won by China?
A. 31.12%
B. 75.80%
C. 62.24%
D. 39.50%
E. Cannot be determined
Solution:
Option(
C) is correct
We will assume that all the silver medals won by “others” were won by China only.
Number of medals won by India:
=N8+9N50+33N200=N8+9N50+33N200
=47N100=47N100
Number of medals won by China:
=3N8+3N20+23N100=3N8+3N20+23N100
=151N200=151N200
⇒ Number of medals won by India is at least:
=94151=94151
=62.24%=62.24% of the number of medals won by China.
Q1.3 It is given that the parts of the graph marked as “Data Not Available” belonged to exactly one of the seven countries that are mentioned above but was not included in the respective bar in the graph.When arranged in an ascending order of the total number of medals won, which of the following will never be a possible case?
A. Jordon, Japan, Kazakhstan
B. Malaysia, India, Singapore
C. Japan, China, Singapore
D. Japan, Singapore, Jordon
E. Malaysia, India, Kazakhstan
Solution:
Option(
D) is correct
Gold Medals: The number of gold medals whose data is not available is:
=21N200=21N200
and all of them may have belonged either to Malaysia or to Jordon.
Silver Medals: The number of silver medals whose data is not available is:
=46N200=46N200
and all of them may have belonged either to China or to Japan.
Bronze Medals: The number of bronze medals whose data is not available is:
=62N200=62N200
and all of them may have belonged either to Kazakhstan or to Singapore.
Hence for each of the seven countries, there are only two possible values for the total number of medals. These values are tabulated below:
| Country |
Minimum Medals |
Maximum Medals |
| China |
105N/200 |
151N/200 |
| Japan |
56N/200 |
102N/200 |
| Kazakhstan |
41N/200 |
103N/200 |
| India |
94N/200 |
94N/200 |
| Singapore |
54N/200 |
116N/200 |
| Malaysia |
71N/200 |
92N/200 |
| Jordon |
51N/200 |
72N/200 |
All the options except option (D) show a valid arrangement. In option (D) the total number of medals with Singapore must be 116N200116N200, Japan Could have had either 56N20056N200 or 102N200102N200 medals in all.
As Jordon can have a maximum of 72N20072N200 medals only, this option is not valid.
Note: No intermediate values are possible between the respective maximum & the minimum values for any of the seven countries.
Q1.4 Which of the following could not have been the sum of the number of silver and the number of bronze medals won by Malaysia ?
A. 142
B. 164
C. 213
D. 284
E. 355
Solution:
Option(
B) is correct
At the end of each event exactly one each of gold, silver and bronze medals were awarded hence the total number of gold or silver or bronze medals must be the same.
Let there be NN number each of gold, silver and bronze medals.
Sum of the numbers of silver and bronze medals won by Malaysia:
=71N200=71N200
As this sum must be an integer, it will be a multiple of 7171. Accordingly 142,213,284142,213,284 and 355355 all are possible values.
Only 164164 is not a multiple of 7171.
Q2.1 With his sub-four minute mile Bannister broke a psychological barrier,
inspiring thousands of others to attempt overcoming seemingly insurmountable hurdles.
A. inspiring thousands of others to attempt overcoming
B. inspiring thousands of others to attempt to overcome
C. inspiring thousands of others to overcome
D. and inspired thousands of others to attempt to overcome
E. and inspired thousands of others to attempt overcoming
Solution:
Option(
D) is correct
In A the word ‘inspiring’ seems incorrectly to refer to the word ‘barrier’; also the expression ‘attempt overcoming’ is unidiomatic.
In D, the correct answer, ‘inspired’ is correctly parallel to ‘broke’, and ‘attempt to overcome’ is idiomatic.
Q2.2 Unlike
the team of lawyers working for the petitioner, whose argument rested on a questionable interpretation of a bill that only recently passed Congress, the government’s argument centered on what many legal experts consider a main-stream interpretation of the Bill of Rights.
A. the team of lawyers working for the petitioner, whose argument rested on a questionable interpretation of a bill that only recently passed Congress.
B. the argument from the petitioner, which rested on a questionable interpretation of a bill that only recently passed Congress.
C. the petitioner’s argument, which rested on a questionable interpretation of a bill that only recently passed Congress.
D. the petitioner’s argument, whose case rested on a questionable interpretation of a bill that recently only passed Congress.
E. the petitioner’s argument, which rested on a questionable interpretation of a bill that recently only passed Congress.
Solution:
Option(
C) is correct
There are two main issues being tested in this sentence.
(1) When using
like or
unlike, you must compare like parts (e.g., compare arguments with arguments). The original sentence improperly compares
the team of lawyers with
the government’s argument.
(2) The expression,
which modifies the term that is immediately before it. For example, the phrase
the argument from the petitioner, which rested on a questionable interpretation of a bill that only recently passed Congress is incorrect since it was not the petitioner that rested on a questionable interpretation, but rather the argument that rested on a questionable interpretation.
A. the sentence illogically and improperly compares unlike parts (i.e., it compares
the team of lawyerswith
the government’s argument)
B. the phrase
the argument from the petitioner, which rested on a questionable interpretation of a bill that only recently passed Congress is incorrect since it was not the petitioner that rested on a questionable interpretation, but rather the argument that rested on a questionable interpretation
C. the sentence properly compares like parts (i.e., it compares
the petitioner’s argument with
the government’s argument);
, which rested on… properly and logically modifies the phrase it follows
D. the phrase
whose case rested onis illogical since
whose (which should modify a person) is actually modifying an argument
E. the original sentence, which reads
a bill that only recently passed Congress, is perniciously changed to a new sentence,which reads
a bill that recently only passed Congress; the difference in meaning between a bill that
recently only passed Congress (meaning it did not become law) and a bill that only recently passed Congress (meaning it passed Congress a short time ago) is significant.
Q3.1).
- Ignorance is the opposite of knowledge, i.e., want of knowledge.
- To deal with uncertainty and ignorance economists have recognized the entrepreneur as possessing this non-rational form of knowledge.
- Like some ancient priest-king, the entrepreneur ‘knows’ the future and leads his people.
- Entrepreneurial knowledge is essentially intuitive.
- It involves seeing and realizing a vision of future markets, products and/or other opportunities.
A. 32145
B. 43125
C. 12453
D. 45123
Solution:
Option(
D) is correct
5 uses the pronoun ‘it’ to refer to a non-living antecedent. 1 or 2 cannot be the antecedents as they have multiple subjects which the pronoun it would qualify.
So 5 can either immediately follow 3 or 4. 4 is a general statement and 5 explains it more, so the flow of the passage has to be from 4 to 5, something that is violated in option 5. Hence It refers to Entrepreneurial knowledge and hence we would need 45 together. Also, 1 defines a variable and 2 mentions what economists did to deal with it. Hence 12 too must be together.
So we are left with options C and D.
2 has a phrase ‘this non-rational for of knowledge’ in which ‘this’ again refers to Entrepreneurial knowledge.
Hence the flow of the passage has to be from 4 to 2. Hence
option D is the correct answer.
Q3.2).
1) Electronic transactions are happening in closed group networks and Internet. Electronic commerce is one of the most important aspects of Internet to emerge.
2) Cash transactions offer both privacy and anonymity as it does not contain information that can be used to identify the parties nor the transaction history.
3) To support e-commerce, we need effective payment systems and secure communication channels and data integrity.
4) The whole structure of traditional money is built on faith and so will electronic money have to be.
5) Moreover, money is worth what it is because we have come to accept it.
A. 25413
B. 12534
C. 45123
D. 43521
Solution:
Option(
A) is correct
This paragraph is about cash transaction vis-a-vis electronic commerce. The observation on cash transaction have to precede e-com .
Therefore, the paragraph must start with 2. Thus
option A is the correct answer
Q4 The following is an illustration of input and rearrangement. (All the numbers are two-digit numbers.)
Input: tall 48 13 rise alt 99 76 32 wise jar high 28 56 barn
Step I: 13 tall 48 rise 99 76 32 wise jar high 28 56 bam alt
Step II: 28 13 tall 48 rise 99 76 32 wise jar high 56 alt barn
Step III: 32 28 13 tall 48 rise 99 76 wise jar 56 alt barn high
Step IV: 48 32 28 13 tall rise 99 76 wise 56 alt barn high jar
Step V: 56 48 32 28 13 tall 99 76 wise alt barn high jar rise
Step VI: 76 56 48 32 28 13 99 wise alt barn high jar rise tall
Step VII: 99 76 56 48 32 28 13 alt barn high jar rise tall wise And Step VII is the last step of the above input, as the desired arrangement is obtained.
As per the rules followed in the above steps, find out in each of the following questions the appropriate step for the given input.
Input: 84 why sit 14 32 not best ink feet 51 27 vain 68 92 (All the numbers are two-digit numbers.)
Q4.1 Which step number is the following output?
32 27 14 84 why sit not 51 vain 92 68 feet best ink
1) Step V
2) Step VI
3) Step IV
4) Step III
5) There is no such step.
Q4.2 Which word/number would be at 5th position from the right in Step V?
1) 14
2) 92
3) feet
4) best
5) why
Solutions
The machine rearranges words and numbers in the following way. Numbers are being arranged from left side with the smallest number coming first and move subsequently so that in the last step numbers are arranged in descending order. The words are arranged from right side as they appear in English alphabetical order.
Input: 84 why sit 14 32 not best ink feet 51 27 vain 68 92
Step I: 14 84 why sit 32 not ink feet 51 27 vain 68 92 best
Step II: 27 14 84 why sit 32 not ink 51 vain 68 92 best feet
Step III: 32 27 14 84 why sit not 51 vain 68 92 best feet ink
Step IV: 51 32 27 14 84 why sit vain 6892 best feet ink not
Step V: 68 51 32 27 14 84 why vain 92 best feet ink not sit
Step VI: 84 68 51 32 27 14 why 92 best feet ink not sit vain
Step VII: 92 68 84 51 32 27 14 best feet ink not sit vain why
On the basis of above Output, The answers are :
Ans 1. 5
Ans 2. 4
Cubes& dices
Q5.1 A solid cube of each side 8 cm, has been painted red, blue and black on pairs of opposite faces.
It is then cut into cubical blocks of each side 2 cm.
How many cubes have two faces painted red and black and all other faces unpainted?
A) 4
B) 8
C) 16
D) 32
Ans: Cubes have
two faces painted red and black and
all other faces unpainted = 4+4 =
8
A. 8
B. 9
C. 12
D. 15
Answer: D) 15
Explanation:
Clearly, there are 4 columns containing 1 cube each, 4 columns containing 2 cubs each and 1 column containing 3 cubes.
Hence, there are (4 x 1) + (4 x 2) + (1 x 3) = 4 + 8 + 3 = 15 cubes in the given figure.
