RPF 5 Jan 2019

Let salary of Hakeem, Christo and Ganesh be $$3x,5x$$ and $$7x$$ respectively.

According to ques, => $$7x-3x=524$$

=> $$x=\frac{524}{4}=131$$

$$\therefore$$ Christo's salary = $$5\times131=Rs.$$ $$655$$

=> Ans - (B)

Marks obtained = 65 + 89 + 58 + 40 = 252

Maximum marks = 80 + 100 + 70 + 50 = 300

$$\therefore$$ Overall percentage obtained by him = $$\frac{252}{300}\times100=84\%$$

=> Ans - (B)

Since, there are an equal number of male and female employees in the company, and also the average productivity is 61 calls per day which is equal to the number of calls attended by the males.

Thus, number of calls attended per day by a female employee will also equal to = 61

=> Ans - (C)

Let usual speed = $$10$$ m/min and usual time taken = $$t$$ min

=> New speed = $$9$$ m/min and new time = $$(t+15)$$ min

Also, speed is inversely proportional to time.

=> $$\frac{10}{9}=\frac{t+15}{t}$$

=> $$10t=9t+135$$

=> $$10t-9t=t=135$$

$$\therefore$$ Usual time taken = 135 minutes

=> Ans - (B)

Ratio of time taken = 29 : 23

Since, both are covering the same distance, and speed is inversely proportional to time.

Thus, ratio of their speeds = 23 : 29

=> Ans - (D)

If total salary is 100%, then % salary remaining after the donations = $$100-(13+12+14+16)=45\%$$

According to ques, $$45\%\equiv Rs.$$ $$24,345$$

Thus, amount donated to orphanage = $$12\%\equiv\frac{24345}{45}\times12$$

= $$541\times12=Rs.$$ $$6,492$$

=> Ans - (D)

Rate of interest = 4% and time period = 2 years

Let principal sum = Rs. $$P$$

Also, difference between compound interest and simple interest for 2 years = $$P(\frac{r}{100})^2$$

=> $$P(\frac{4}{100})^2=44$$

=> $$P=44\times\frac{10000}{16}$$

=> $$P=44\times625Rs.$$ $$27,500$$

=> Ans - (C)

Since, the distance travelled is equal on the three sides, hence average speed will be the harmonic mean of the speeds.

= $$\frac{3}{\frac{1}{24}+\frac{1}{36}+\frac{1}{72}}$$

= $$\frac{3}{\frac{3+2+1}{72}}$$

= $$\frac{3}{6}\times72=36$$ km/hr

=> Ans - (D)

Total sales of branch C2 for both years = 89 + 82 = 171

Total sales of branch C4 for both years = 53 + 89 = 142

=> Required ratio = 171:142

=> Ans - (B)

Expression : $$468 \div $$ {$$\frac{3}{4} [\frac{16}{15}] - \frac{2}{3}$$} = ?

= $$468 \div $$ {$$\frac{4}{5} - \frac{2}{3}$$}

= $$468 \div $$ {$$\frac{12-10}{15}$$}

= $$468\times\frac{15}{2}=3510$$

=> Ans - (B)