Answer: Option A. -> If B is selected, then D must be chosen.
:
A
Option (A): If B is selected, then A and E cannot be selected. The other 3 must be from CDFG but D and F have to be together so the team will be B, D, F and any one of C or G. So D must be selected in the team, hence this Option is definitely TRUE.
Option(B): If A is selected B cannot be chosen. The other 3 members can be any 3 from C, D, E, F and G. This Option is not definitely TRUE.
Option (C): If B is selected, then A and E are ruled out. The other 3 can be chosen from C, D, F and G. Of this D and F must be chosen with the last member being either C or G. This Option is not definitely TRUE.
Option (D): C need not be chosen on every team. If we select DFEG, this is a valid team without C. Option(A)

Answer: Option A. -> 0
:
A
As the aggregate of all the marks allotted to all the subjects across various years as following
$\begin{array}{ccccccc}Year& 1998& 1999& 2000& 2001& 2002& 2003\\ Aggregatemarks& 185& 165& 165& 150& 150& 150\end{array}$
As we can see that there is no number between aggregate of year 1999 (165) and aggregate if year 2001 (150).

Answer: Option C. -> South Africa won against Pakistan
:
C
Choice (c). Only South Africa must have won against Pakistan, as others have achance of tying a match with Pakistan.

Answer: Option A. -> Switzerland
:
A
Brazil (1) plays rank 4 in semi-finals (Round 4 - magic number is 5)
But, we know all even numbered matches of round 1 and all even ranked teams lose in round 1, hence lets trace rank 4's path to know which is the LOWEST ranked team that can replace it.
Round 1: 4 + 29 ("Magic number for round 1 is 33=4+29”) $=>$ 29 qualifies and takes 4's place
Round 2: 4 + 13 ("Magic number for round 2 is 17=4+13”)
But, now the round 2 match is not 4 v/s 13 but 29 v/s 13 $=>$ 13 is a better rank team and no upsets occur in round 2 so 13 qualifies and takes 4's place in the next round.
Round 3: 4 + 5 ("Magic number for round 3 is 9=4+15”)
But now here 4 is replaced by 13 so its 13 v/s 5. The winner of this match meets 1 in the next round(Semi-finals). We have the liberty to choose any of these two teams but the choice has to be of the LOWER team hence, choose rank 13 =Switzerland as the ANSWER (a)

Answer: Option C. -> 630000 mn deficit
:
C
Strategy- Change the scale to minimize calculation
From both Import and Export figures, strike out the last 4 digits = 1750 & 1400 approximately
The answer options are far apart, therefore we can easily approximate.
$\begin{array}{ccc}China& Imports\left(1750\right)& Exports\left(1400\right)\\ Asia\left(40\%\right)& 1750\times 40\%=700& 1400\times 40\%=560\\ Korea(73\%,80\%)& 700\times 73\%=511& 560\times 80\%=448\end{array}$
Trade Deficit= Import- Export = 511 - 448$\approx$63. Hence answer is option (c)

Answer: Option C. -> 10 hours
:
C
There must be one other route other than those involving B with the least cost as most only 70% participants can only use this route.
We must take S-D-C-T as the other route.
S-B-C-T, if task time at B = 3, total time= 10.
S-D-C-T, if task time at D and C is 0, total time is 10.
$\therefore$ 10 hours is the least time.

Answer: Option D. -> Cannot be determined
:
D
Cannot be determined
If at 14:00 hrs 1 staff member and no priest entered, then no priest left (after 4 hrs) at 18:00 hrs.
1 devotee who entered at 16:00 hrs might have left at 17:00 hrs (after 1 hr) or at 18:00 hrs (after 2 hrs).
Then, 1 priest left at 18:00 hrs (after 4 hrs) or no staff member left at 18:00 hrs (after 4 hrs). Hence, the result cannot be determined.

Answer: Option B. -> If the question can be answered with statement 2 alone
:
B
The average number of vacation days taken this year can be calculated by dividing the total number of vacation days by the number of employees. Since we know the total number of employees, we can rephrase the question as: How many total vacation days did the employees of Company X take this year?
(1) INSUFFICIENT: Since we don't know the specific details of how many vacation days each employee took the year before, we cannot determine the actual numbers that a 50% increase or a 50% decrease represent. For example, a 50% increase for someone who took 40 vacation days last year is going to affect the overall average more than the same percentage increase for someone who took only 4 days of vacation last year.
(2) SUFFICIENT: If three employees took 10 more vacation days each, and two employees took 5 fewer vacation days each, then we can calculate how the number of vacation days taken this year differs from the number taken last year:
(10 more days/employee)(3 employees) - (5 fewer days/employee)(2 employees) = 20
Required Average = 16 + 4 = 20

Answer: Option C. -> If both statement 1 and statement 2 are needed to answer the question and
:
C
The question is "Does n lie between -1 & 1?”
(1) INSUFFICIENT: If we addnto both sides of the inequality, we can rewrite it as the following:
$n^x<n$
we cannot decide the answer based on this
if n = $\frac{1}{2}$ and x = 2 then $-1<n<1$
however, if n = -3 and x = 3 , n is less than -1
thus, the answer cannot be determined based on statement (1) alone
(2) INSUFFICIENT: $x^{-1}=-2$can be rewritten as $x=-2^{-1}=\frac{-1}{2}$.However, this statement contains no information aboutn. hence, answer cannot be determined based on this statement alone as well.
(1) AND (2) SUFFICIENT: If we combine the two statements by plugging the value for x into the first statement,we get$n^{-1/2}<n$.
The only values for nthat satisfy this inequality are those greater than 1.
The correct answer is (C).

:
$\begin{array}{ccccccc}Game& Opening& Playe{r}^{\prime }spick& & Deale{r}^{\prime }spick& & Closing\\ & balance& & & & & balance\\ & & Debit& Credit& Debit& Credit& \\ & & (-)& (+)& (-)& (+)& \\ 1& 0& 0& 8& 16& 0& -8\\ 2& -8& 0& 10& 0& 10& 12\\ 3& 12& 0& 6& 6& 0& 12\\ 4& 12& 0& 8& 16& 0& 4\end{array}$
Since the maximum negative that Ghosh Babu goes into is -8, he should begin with at least Rs. 8, so that he does not have to borrow any money at any point.