OICL Specialist Officer Finance Exam 2015 Question Paper

Let Trisha's present age = $$x$$ years

=> Samartha's present age = $$5x$$ years

Phalguni's present age = $$(x + 26)$$ years

Acc. to ques, => $$3 (5x - 10) - 2 (x + 26 - 10) = 42$$

=> $$15x - 30 - 2x - 32 = 42$$

=> $$13x = 42 + 62 = 104$$

=> $$x = \frac{104}{13} = 8$$

Thus, after 12 years :

Phalguni's age = $$x + 26 + 12 = 8 + 38 = 46$$ years

Samartha's age = $$5x + 12 = 5(8) + 12 = 52$$ years

$$\therefore$$ Required ratio = $$46 : 52 = 23 : 26$$

Total commuters who travel on route A = $$\frac{20}{100} \times 4000 = 800$$

Males = $$\frac{3}{8} \times 800 = 300$$

Females = $$800 - 300 = 500$$

Total commuters who travel on route F = $$\frac{12}{100} \times 4000 = 480$$

Males = $$\frac{2}{3} \times 480 = 320$$

Females = $$480 - 320 = 160$$

Male commuters who travel on routes A and F together and are less than 25 years of age

= $$\frac{20}{100} (300 + 320) = 124$$

Female commuters who travel on routes A and F together and are less than 25 years of age

= $$\frac{20}{100} (500 + 160) = 132$$

$$\therefore$$ Required ratio = $$124:132 = 31:33$$

Total commuters on route C = $$\frac{24}{100} \times 4000 = 960$$

Male commuters on route C = $$\frac{9}{16} \times 960 = 540$$

=> Female commuters on route C = $$960 - 540 = 420$$

On route E, total commuters = $$\frac{10}{100} \times 4000 = 400$$

Male commuters on route E = $$\frac{2}{5} \times 400 = 160$$

=> Female commuters on route E = $$400 - 160 = 240$$

Thus, total number of male commuters who travel on routes C and E together = $$540 + 160 = 700$$

Total number of female commuters who travel on routes C and E together = $$420 + 240 = 660$$

$$\therefore$$ Required difference = $$700 - 660 = 40$$

Percentage of commuters (both males and females) who travel on route C = 24%

$$\because 100 \% \equiv 360^{\circ}$$

=> $$24 \% \equiv \frac{360}{100} \times 24$$

= $$86.4^{\circ}$$

Percentage of commuters on Routes D & E = (16 + 10)% = 26%

Percentage of commuters on Route B = 18%

=> Required % = $$\frac{26 - 18}{18} \times 100$$

= $$\frac{400}{9} = 44 \frac{4}{9} \%$$

Total commuters on Route D = $$\frac{16}{100} \times 4000 = 640$$

Number of female commuters travelling on route D = $$\frac{3}{8} \times 640 = 240$$

Total commuters on Route F = $$\frac{12}{100} \times 4000 = 480$$

Number of the male commuters travelling on route F = $$\frac{2}{3} \times 480 = 320$$

=> Required % = $$\frac{240}{320} \times 100$$

= $$\frac{3}{4} \times 100 = 75 \%$$

For the shopkeeper, C.P. of article = $$\frac{100}{130} \times 5200 = Rs. 4000$$

=> Marked price of article

= $$\frac{112.5}{100} \times 4000 = Rs. 4500$$

For Mr. Sharma, discounted price of article

= $$\frac{80}{100} \times 4500 = Rs. 3600$$

$$\therefore$$ Actual C.P. of article

= $$3600 + (\frac{12}{100} \times 3600)$$

= $$3600 + 432 = Rs. 4032$$

Let total number of registered voters = $$100x$$

Number of voters who cast their votes = $$\frac{70}{100} \times 100x = 70x$$

Number of valid votes = $$70x - 180$$

Valid votes received by the winner = $$\frac{42}{100} \times 100x = 42x$$

=> Valid votes received by the loser = $$(70x - 180) - 42x$$

Acc. to ques, => $$42x - [(70x - 180) - 42x] = 684$$

=> $$84x - 70x = 684 - 180 = 504$$

=> $$x = \frac{504}{14} = 36$$

$$\therefore$$ Number of registered voters who cast their votes = $$70 \times 36 = 2520$$

Let A's investment = $$Rs. x$$

=> B's investment = $$Rs. 1.5x$$

=> C's investment = $$Rs. 0.5x$$

Ratio of shares of A,B and C

= $$(x \times 12) : (1.5x \times 9) : (0.5x \times 6)$$

= $$24 : 27 : 6 = 8 : 9 : 2$$

Total profit = Rs. 23,750

Since, A is the working partner, he will receive 10 %

=> $$\frac{10}{100} \times 23750 = Rs. 2,375$$

Profit left = 23750 - 2375 = 21375

Thus, A's share = $$\frac{8}{8 + 9 + 2} \times 21375$$

= $$8 \times 1125 = 9000$$

$$\therefore$$ Total amount received by A = $$2,375 + 9,000 = Rs. 11,375$$

Expression : $$16.02^{2} + 144 + 23.96 + ? = 783.867$$

=> $$16^2 + 144 + 24 + x = 784$$

=> $$256 + 168 + x = 784$$

=> $$x = 784 - 424 = 360$$