MAT 2003 Question Paper

Number of emergencies attended by the 6 substations in :

May = 12+18+10+17+12+14 = 83

June = 15+21+11+17+15+15 = 94

July = 17+15+19+19+18+12 = 100

Aug = 21+18+21+12+10+13 = 95

Sep = 13+18+23+18+21+18 = 111

Oct = 17+19+18+10+11+19 = 94

Thus, emergencies attended were same in June and October.

=> Ans - (D)

Required difference in the number of emergencies attended in August as compared to July

(A) : A = 21-17 = 4     [MAX]

(B) : E = 10-18 = -8

(C) : D = 12-19 = -7

(D) : C = 21-19 = 2

=> Ans - (A)

Number of complaints attended by :

(A) : A = 12+15+17+21+13+17 = 95

(B) : B = 18+21+15+18+18+19 = 109     [MAX]

(C) : C = 10+11+19+21+23+18 = 102

(D) : F = 14+15+12+13+18+19 = 91

=> Ans - (B)

This problem requires a bit of manual additions and data handling. 
The total number of emergencies are = 83+94+100+95+111+94 = 577

Now, the question asks which of the given months account for more than 36% of all 577 emergencies i.e. for more than 208 emergencies together.
There are only 2 months which add up to more than 200: July and September.

Amount to be repaid while taking a loan of Rs. 20,00,000 with o repayment period of 15 years

= $$20600\times15\times12=Rs.$$ $$37,08,000$$

Amount to be repaid while taking a loan of Rs. 20,00,000 with o repayment period of 20 years

= $$18000\times20\times12=Rs.$$ $$43,20,000$$

$$\therefore$$ Cumulative financial impact = $$Rs.$$ $$(43,20,000-37,08,000)= Rs.$$ $$6,12,000$$

=> Ans - (D)

Amount to be repaid while taking a loan of Rs. 15,00,000 with a repayment period of 25 years

= $$12650\times25\times12=Rs.$$ $$37,95,000$$

=> Ans - (B)

Amount to be repaid while taking a loan of Rs. 15,00,000 with a repayment period of 20 years when EMI is Rs. 13,500

= $$13500\times20\times12=Rs.$$ $$32,40,000$$

Amount to be repaid while taking a loan of Rs. 15,00,000 with a repayment period of 20 years when EMI is Rs. 12,500

= $$12500\times20\times12=Rs.$$ $$30,00,000$$

$$\therefore$$ Cumulative financial impact = $$Rs.$$ $$(32,40,000-30,00,000)= Rs.$$ $$2,40,000$$

=> Ans - (B)

[Method 2]

Required difference = $$(13500-12500)\times20\times12=Rs.$$ $$2,40,000$$

=> Ans - (B)

Amount to be repaid while taking a loan of Rs. 10,00,000 with o repayment period of 15 years

= $$10300\times15\times12=Rs.$$ $$18,54,000$$

Amount to be repaid while taking a loan of Rs. 15,00,000 with o repayment period of 10 years

= $$19400\times10\times12=Rs.$$ $$23,28,000$$

$$\therefore$$ Cumulative financial impact = $$Rs.$$ $$(23,28,000-18,54,000)= Rs.$$ $$4,74,000$$

=> Ans - (B)

Difference in the relative value of the six commodities in 2003 compared to 1999

= $$(76-95)+(60-75)+(58-76)+(96-82)+(88-80)+(73-79)$$

= $$(-19)+(-15)+(-18)+(14)+(8)+(-6)=-36$$

=> Required average = $$\frac{-36}{6}=-6$$

=> Ans - (C)

Amount of change in 1999 compared to 2003

(A) : $$\frac{95-76}{76}\times100=25\%$$

(B) : $$\frac{96-82}{96}\times100\approx14.5\%$$

(C) : $$\frac{76-58}{58}\times100\approx30\%$$     [MAX]

(D) : $$\frac{88-80}{88}\times100\approx9.09\%$$

=> Ans - (C)