InfyTQ Data Sufficiency Quiz 2

Explanation : The given situation is using even-odd logic. Statement A alone is sufficient as it can be seen that if he stops after 21 tosses , he must have stopped at the blue mark only.

Statement B alone is also sufficient since if we know that he obtains 3 more tails than heads, the number of tosses must have been odd. Hence, he could only be at the odd place.

Assume the four candidates as A, BC,D such that  A>B>C>D. From statement A alone we can conclude that A must have voted for B, while B and C must have both voted for A .Thus A gets 2 votes and B gets 1 vote. Even though we do not know from this statement which way D voted, we can conclude that A must have won the award as even if D voted for B, and the result would have favourA (as he scored higher).

Thus statement A alone is sufficient.

Statement B alone is not sufficient as it gives information only about the vote of 1 person.

The question of getting the price of the article using only one of the two statements does not arise at all. Even after using both statements together there are too many possibbilities for the article\\\'s price. Hence, we choose option (D) as the correct answer.

From statement A alone, we can just conclude that there were 18 boys and 12 girls and kumars rank among the boys must have been in the top 4.'From statement  alone, we just know that there were 3 boys and2 girls in the top 5. Also since Kumar is in sixth place, his sister Rashmi must have come in after him.( as she is the third girl )

Answer 1 : (c)
It is given that Alan is one of the American experts in refugee relocation. From the table, there can be 1 more or 2 more American experts in the same category.
It is given that the number of labour experts is half the number of experts in each of the other categories. Let the number of labour experts be x. Number of labour experts = 3 and number of experts in each of the other categories = 6. Given that if there had been one less Arabianexperts, then the Latin Americans would have had twice as many experts as each of the other continents. Let the number of Americans be 2y.
2y + y + (y + l)+y = 21                                ∴      y = 4.
So    number of Americans = 8
Number of Arabn = 4 + 1=5
Number of Asians = 4
Number of North Americans = 4 It is also given that except Asia in labour category, every continent sent at least one expert in each category.

Answer 2 : (c)
If the Latin America had 1 expert in population studies, the remaining Americans should be distributed in 2 remaining fields i.e., 3+3. Hence the number of health experts from Latin America cannot be 2.

Answer 3 : (d)
From the given choices, the statements in the first three choices are possible from the given table.
The statement in choice (d) i.e., Asia and the Latin America had 1 expert each in population studies attending the conference is not possible as in this case the total number of experts in population studies is 5. i.e., 2 from Australia, 1 from Asia, 1 from North America and 1 from the Latin America.
∴   This is not possible.

Answer 4 : (d)
Number of labour experts from the Latin America = 1
Number of health experts from North America = 1
Number of health experts from Australia = 1
Number of experts in refugee relocation from Asia = 2/1

It can be seen that if Group C has 2 questions , there is atleast 60% marks criteria for Group A cannnot be fulfilled. The scenario works out as:

Group B =23 questions , 46 marks , Group C  2 questions , 6 marks , Group A 75 questions , 75 marks.  Percentage of marks in Group A =75/127 <60. However if we take C haviing 1 question the condition is fulfilled.

Group B = 23 questions , 46 marks , Group C= 1 question , 3 marks , group A 76 question , 76 marks.Percentage of marks in group A=76/125>60.

Explanation :
The number of questions inn group B is 13 or 14.