MAT 2005 Question Paper

Production Of Paper (in lakh tonnes) by company A = 50+40+55+45+60+50 = 300

Production Of Paper (in lakh tonnes) by company B = 55+60+50+55+50+55 = 325

Production Of Paper (in lakh tonnes) by company C = 45+50+60+60+45+40 = 300

=> Required average difference = $$\frac{(325-300)}{6}=4.17$$

=> Ans - (C)

Number of candidates who have appeared was continuous increasing in only state capitals, but the number of students passed were both increasing and decreasing in all communities.

=> Ans - (D)

Ratio of passed to appeared candidates from semi-urban area in

1991 = $$\frac{2933}{8562}\approx\frac{1}{3}$$

1993 = $$\frac{3528}{9432}\approx(>)\frac{1}{3}$$

1990 = $$\frac{2513}{7894}\approx (>)\frac{1}{3}$$

1992 = $$\frac{2468}{8139}\approx (<)\frac{1}{3}$$     [MIN]

=> Ans - (D)

Percentage drop in the number of semi-urban candidates appeared from 1991 to 1992 = $$\frac{(8562-8139)}{8562}\times100$$

= $$\frac{42300}{8562}\approx\frac{400}{80}=5\%$$

=> Ans - (A)

35% is slightly more than one third

In State capitals and metropolises, passed candidates are less than one-third of appeared candidates.

In Rural = $$\frac{1798}{5032}\times100=35.73\%$$

In Semi urban = $$\frac{3528}{9432}\times100=37.4\%$$

$$\therefore$$ In rural area, approx 35% candidates passed in 1993.

=> Ans - (A)

The total number of candidates passed from Rural in 1993 and Semi-urban in 1990 = 1798 + 2513 = 4311

Now, 4311 candidates passed from state capital in 1994

=> Ans - (C)

% of Indian people that went to USA = 40%

% of Indian people below 30 years of age = 15%

=> Required ratio = $$\frac{40}{15}=8:3$$

=> Ans - (B)

$$25\%\equiv25$$ lakhs

$$100\%\equiv100$$ lakhs

=> Total overseas tourist from India = $$\frac{100}{20}\times100=500$$ lakhs

$$\therefore$$ Required number of overseas tourist of 30-39 years old = $$\frac{15}{100}\times500=75$$ lakhs

=> Ans - (D)

Since, we do not know the total number of people in the age group pie chart and the people visited, we cannot determine the number of 50+ year old.

=> Ans - (D)