TISSNET 2014

Let usual speed be $$3x$$ m/min and speed today = $$2x$$ m/min

Let usual time taken be $$t$$ minutes, and time taken today = $$(t+15)$$ minutes

Since, speed is inversely proportional to time, => $$\frac{3x}{2x}=\frac{t+15}{t}$$

=> $$3t=2t+30$$

=> $$t=30$$ minutes

=> Ans - (D)

Time taken to travel 27 km = 45 minutes = 0.75 hours

=> Average speed = distance/time

= $$\frac{27}{0.75}=36$$ km/hr

=> Ans - (B)

The two frogs are at diametrically opposite ends, so when they go towards the worm at point B, it becomes a right angled triangle, as angle in a semi circle is right angle.

=> $$\angle ABC=90^\circ$$

=> Ans - (C)

Let number of sides be $$n$$

Sum of interior angles = $$(n-2)\times180^\circ=1440^\circ$$

=> $$n-2=\frac{1440}{180}$$

=> $$n=8+2=10$$

=> Ans - (A)

Let length and breadth of field be $$l$$ and $$b$$ km

Perimeter = $$2(l+b)=18$$

=> $$l+b=9$$ ----------------(i)

Area = $$lb=20$$ ------------(ii)

Substituting value from equation (i), we get : $$l(9-l)=20$$

=> $$l^2-9l+20=0$$

=> $$(l-5)(l-4)=0$$

=> $$l=5,4$$

$$\therefore$$ Length of longest side = 5 km

=> Ans - (D)

Ratio of men to women = 6 : 7

Total women = 28

=> Total number of people = $$\frac{13}{7}\times28=52$$

=> Ans - (C)

Let amount received by Amar, Akbar and Anthony = Rs. $$2x,3x$$ and $$7x$$ respectively

According to ques, => $$2x+15=7x$$

=> $$x=\frac{15}{5}=3$$

$$\therefore$$ Akbar's share = $$3\times3=Rs.$$ $$9$$

=> Ans - (B)

Ratio of Copper, Zinc and Lead = $$13 : 6 : 1$$

Also, mass of Zinc = 90 kg

=> Mass of copper = $$\frac{13}{6}\times90=195$$ kg

=> Ans - (D)

Principal amount = Rs. 1400, time period = 9 months and interest = Rs. 21

Simple interest = $$\frac{P\times R\times T}{100}$$

=> $$\frac{1400\times r\times9}{12\times100}=21$$

=> $$r=\frac{21\times12}{126}=2%$$

=> Ans - (A)

Amount = Rs. 1352 and rate of interest = 4% after 2 years

Amount under compound interest = $$P(1+\frac{r}{100})^t$$

=> $$P(1+\frac{4}{100})^2=1352$$

=> $$P\times\frac{676}{625}=1352$$

=> $$P=2\times625=Rs.$$ $$1250$$

=> Ans - (B)