Combining the states P and Q together in 1998, what is the percentage of the candidates qualified to that of the candidate appeared?

Required percentage	= (850 + 920 + 890 + 980 + 1350) x 100 % (7400 + 8450 + 7800 + 8700 + 9800)
	= 4990 x 100 % 42150
	= 11.84%.

Required percentage	= (840 + 1050 + 920 + 980 + 1020) x 100 % (7500 + 9200 + 8450 + 9200 + 8800)
	= 4810 x 100 % 43150
	= 11.15%

The percentages of candidates qualified to candidates appeared from State P during different years are:

For 1997	❨	780	x 100	❩	% = 12.19%.
		6400

For 1998	❨	1020	x 100	❩	% = 11.59%.
		8800

For 1999	❨	890	x 100	❩	% = 11.41%.
		7800

For 2000	❨	1010	x 100	❩	% = 11.54%.
		8750

For 2001	❨	1250	x 100	❩	% = 12.82%.
		9750

∴ Maximum percentage is for the year 2001.

Required average	= 8100 + 9500 + 8700 + 9700 + 8950 5
	= 44950 5
	= 8990.

Required percentage	= (720 + 840 + 780 + 950 + 870) x 100 % (980 + 1050 + 1020 + 1240 + 940)
	= 4160 x 100 % 5230
	= 79.54% 80%.

The average number of candidates selected over the given period for various states are:

For Delhi =	94 + 48 + 82 + 90 + 70	=	384	= 76.8.
	5		5

For H.P. =	82 + 65 + 70 + 86 + 75	=	378	= 75.6.
	5		5

For U.P. =	78 + 85 + 48 + 70 + 80	=	361	= 72.2.
	5		5

For Punjab =	85 + 70 + 65 + 84 + 60	=	364	= 72.8.
	5		5

For Haryana =	75 + 75 + 55 + 60 + 75	=	340	= 68.
	5		5

Clearly, this average is maximum for Delhi.

The percentages of candidates qualified from Punjab over those appeared from Punjab during different years are:

For 1997 =	❨	680	x 100	❩	% = 8.29%.
		8200

For 1998 =	❨	600	x 100	❩	% = 8.82%.
		6800

For 1999 =	❨	525	x 100	❩	% = 8.08%.
		6500

For 2000 =	❨	720	x 100	❩	% = 9.23%.
		7800

For 2001 =	❨	485	x 100	❩	% = 8.51%.
		5700

Clearly, this percentage is highest for the year 2000.

The percentages of candidates selected over the candidates appeared in 1997, for various states are:

(i) For Delhi =	❨	94	x 100	❩	% = 1.175%.
		8000

(ii) For H.P. =	❨	82	x 100	❩	% = 1.051%.
		7800

(iii) For U.P. =	❨	78	x 100	❩	% = 1.040%.
		7500

(iv) For Punjab	❨	85	x 100	❩	% = 1.037%.
		8200

(v) For Haryana	❨	75	x 100	❩	% = 1.172%.
		6400

Clearly, this percentage is lowest for Punjab.

Required percentage	= (75 + 75 + 55 + 60 + 75) x 100 % (94 + 48 + 82 + 90 + 70)
	= 340 x 100 % 384
	= 88.54%
	88.5%

The percentages of candidates selected from U.P. over those qualified from U.P. during different years are:

For 1997 =	❨	78	x 100	❩	% = 10.83%.
		720

For 1998 =	❨	85	x 100	❩	% = 13.71%.
		620

For 1999 =	❨	48	x 100	❩	% = 12%.
		400

For 2000 =	❨	70	x 100	❩	% = 10.77%.
		650

For 2001 =	❨	80	x 100	❩	% = 8.42%.
		950

Clearly, this percentage is highest for the year 1998.