Instructions

For the following questions answer them individually

Question 71

What is the ratio of the mean proportional between 4.8 and 10.8 and the third proportional to 0.4 and 2.4?

Question 72

In $$\triangle$$ADC, E and B are the points on the sides AD and AC respectively such that $$\angle$$ABE = $$\angle$$ADC. If AE = 6 cm,BC = 2 cm, BE = 3 cm and CD = 5 cm, then (AB + DE)is equal to:

Question 73

Let O be the centre of a circle and AC be its diameter. BD is a chord intersecting AC at E. Point A is joined to B and D. If $$\angle$$BOC = $$50^\circ$$ and $$\angle$$AOD = $$110^\circ$$, then $$\angle$$BEC = ?

Question 74

If $$a^2 + b^2 + c^2 + 27 = 6( a + b + c)$$, then what is the value of $$\sqrt[3]{a^3 + b^3 - c^3}$$

Question 75

If an 11-digit number 5y5884805x6, is divisible by 72, then the value of $$\sqrt{xy}$$ is:Â

Question 76

Select the correct passive form of the given sentence.

The enemy will have seized the fort before night fall.

Question 77

Given below are four jumbled sentences. Select the option that gives their correct order.

A. For a split second, as the stranger stepped into the light, his furry head was clearly visible.

B. Atfirst, all seemed still outside the house,except for the sound ofthe rain.

C. Recognizing him, Joe stood petrified staring at the man wearing a long coat,wet from rain.

D. But then, footsteps approached the house and a stranger emerged out of the darkness.

Question 80

Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select No improvement.

Though many European __ traders visit Puducherry in the sixteenth century onwards__, what remains todayis a relic of its French past.