MAT 2001 Question Paper

Export/Import ratio in the period :

1994-95 = $$\frac{8}{8.7}=0.91$$

1993-94 = $$\frac{8}{8.3}=0.96$$     [MAX]

1991-92 = $$\frac{7.1}{7.8}=0.91$$

1995-96 = $$\frac{8.7}{10.1}=0.86$$

=> Ans - (B)

% Growth rate of exports during the period 1992-93 to 1995-96

= $$\frac{31795-18537}{18537}\times100$$

$$\approx71.52\%$$

Thus, average growth for the 4 year interval = $$\frac{71.52}{4}=17.88\%$$

=> Ans - (D)

Growth rate per year of population to be covered from 2001 to 2011

= $$\frac{8.19-6.23}{6.23}\times100$$

$$\approx31.5\%$$

Now, average growth rate of 10 years = $$\frac{31.5}{10}=3.15\%$$

=> Ans - (A)

Difference in per capita water requirements and the actual or projected supplies in the year :

1994 = $$913-680=233$$

2011 = $$1862-1906=-44$$

2021 = $$2224-1906=318$$     [MAX]

1991 = $$722-545=177$$

=> Ans - (C)

Clearly in the year 2011, the actual or projected supplies exceeded/exceeds the water requirements by :

= 1906 - 1862 = 44 mid

=> Ans - (A)

Per capita of water in actual or projected supplies in the year :

1991 = $$\frac{545}{3.3}\approx165$$

1994 = $$\frac{680}{4.35}\approx156$$

2001 = $$\frac{1090}{6.23}\approx175$$

2011 = $$\frac{1906}{8.19}\approx232.7$$     [MAX]

2021 = $$\frac{1906}{10.15}\approx188$$

=> Ans - (C)

Difference in per capita water requirements and the actual or projected supplies in the year :

2001 = $$1105-1090=15$$

2011 = $$1862-1906=-44$$     [MIN]

1991 = $$722-545=177$$

1994 = $$913-680=233$$

=> Ans - (B)

Per capita of water in actual or projected supplies in the year :

2021 = $$\frac{1906}{10.15}\approx188$$

2001 = $$\frac{1090}{6.23}\approx175$$

1994 = $$\frac{680}{4.35}\approx156$$     [MIN]

1991 = $$\frac{545}{3.3}\approx165$$

=> Ans - (C)