MAT 2009 Question Paper

When 3 congruent circles touch each other externally, the triangle formed with their centers is an equilateral triangle. Hence when a circle is surrounded by identical circles, centers of two consecutive circles make an angle of 60° with the central circle. Thus, six identical circles a surround a circle of equal radius.

=> Ans - (D)

Cost per room : 

(A) : Raheja Group : $$\frac{250}{500}=0.5$$

(B) : Lokhandwala Group : $$\frac{225}{536}=0.41$$     [MIN]

(C) : IHCL : $$\frac{275}{600}=0.45$$

(D) : ITC : $$\frac{300}{300}=1$$

=> Ans - (B)

Max number of rooms per crore of rupees :

(A) : Raheja Group : $$\frac{500}{250}=2$$

(B) : IHCL : $$\frac{600}{275}=2.18$$

(C) : Lokhandwala Group : $$\ \frac{\ 536}{225}=2.38$$     [MAX]

(D) : ITC : $$\frac{300}{300}=1$$

=> Ans - (C)

Cost incurred for projects completed in 1998

= $$(250+225)\times(1.1)=Rs.$$ $$522.5$$ crore

=> Ans - (C)

Cost incurred for projects completed in 1999

= $$(275+235+250+300)\times(1.1)^2=Rs.$$ $$1282.6$$ crore

=> Ans - (B)

For projects completed in 2000, cost = Rs. 250 crore

Total cost (with tax) = $$250\times (1.1)^3=Rs.$$ $$332.75$$ crore

Total costs of projects completed in 1998 = $$(250+225)\times(1.1)=Rs.$$ $$522.5$$ crore

Total costs of projects completed in 1999 = $$(275+235+250+300)\times(1.1)^2=Rs.$$ $$1282.6$$ crore

$$\therefore$$ Total cost = $$332.75+522.5+1282.6\approx2140$$ crore

=> Ans - (A)

Life insurance sold in Italy through agents (in million dollars) = $$\frac{14}{100}\times2500=350$$

Life insurance sold in Spain through brokers and agents (in million dollars) = $$\frac{(14+5)}{100}\times2000=380$$

Thus, life insurance sold in Italy through agents is less by $ 30 million than that of sold in Spain by brokers and agents.

=> Ans - (C)

Total sales of the countries (in million dollars)

= $$2,500+2,000+15,000+10,000+1,000+20,000+30,000 = 80,500$$

Approx value of non term insurance = $$\frac{87.5}{100}\times80,500$$

= $$\frac{7}{8}\times80500=70400$$ million dollars

=> Ans - (C)

Total sales of India in 2002 (in million dollars) = 15000

Sales of commission agents = $$\frac{14}{100}\times15000=2100$$ million dollars

=> Commission earned (in million dollars) = $$\frac{0.5}{100}\times2100=10.5$$ million dollars

=> Ans - (C)

Total circulation of the four magazines in 1998

= $$(40+50+30+27)\times1000=147,000$$