MAT 2005 Question Paper

Total bonus paid (in lakhs) = 3+2.52+3.84+3.68+3.96 = 170

Total salary paid (in lakhs) = 288+342+324+336+420 = 1710

=> Required % = $$\frac{170}{1710}\times100\approx1\%$$

=> Ans - (C)

It is given that if the population of village X below poverty line in 1997 is 12160.

Assuming population of village X is = N

We know that 38% population of village X is below povery line in 1997.

Thus, 38% of N = 12160

N = 12160/0.38 = 32000

Of all the villages population combined, the population of village X is 16% of the total populations of all villages combined.

Assuming total population of all villages combined is M

Thus, 16% of M = 32000

M = 200000

Now, we need to find the population of village S, which is 11% of Ttotal population, which is

11% of 200000 = 22000

Let us assume the total population of all villages combined is M.

Thus, the population of village T will be 21% of M = 0.21M

Then, we know that 46% of the population of village T is below the poverty line.

That will be = 46% of 0.21M = 0.46*0.21 M

Similarly, the population of the village Z will be 11% of M = 0.11M

Then, we know that 42% of the population of village Z is below the poverty line.

That will be = 42% of 0.11M = 0.42*0.11 M

The ratio of the population of village T below the poverty line to that of village Z below the poverty line in 1997 = (0.46*0.21*M)/ (0.42*0.11M) = 46/22

=> 23:11

R=16%

Production of company C in 1991 = 45,00,000 tonnes

Production of company A in 1996 = 50,00,000 tonnes

=> Difference = 50,00,000-45,00,000 = 5,00,000 tonnes

=> Ans - (D)

Percentage increase in production of company A from 1992 to 1993

= $$\frac{(55-40)}{40}\times100$$

= $$\frac{75}{2}=37.5\%$$

=> Ans - (A)

Percentage of rise/fall in production from the previous year for company B in year :

1992 = $$\frac{60-55}{55}\times100=9.09\%$$

1993 = $$\frac{50-60}{60}\times100=-16.67\%$$     [MAX]

1996 = $$\frac{55-50}{50}\times100=10\%$$

1995 = $$\frac{50-55}{55}\times100=-9.09\%$$

=> Ans - (B)

Total production of company C in 1993 and 1994 = 60+60 = 120

Total production of company A in 1991 and 1992 = 50+40 = 90

=> Required % = $$\frac{120}{90}\times100=133.33\%$$

=> Ans - (D)