TS SI 2018


For the following questions answer them individually

Question 1

If $$2x — 5y = 7z - 3y$$ then, for $$xyz$$ ≠ 0, $$\frac{8 x^3 + 343 z^3 - 8 y^3}{xyz} = $$

Question 2

A person travels from A to B at 75 kmph in a Car and in the return journey the speed is reduced by 15 kmph. If the total time taken is four-and-half hours then the distance (in kms) between A and B is:

Question 3

Three persons A, B, C start a company and contribute a total of ₹ 10,70,000 towards its running. A contributes ₹ 50,000 more than B, and B contributes ₹ 60,000 more than C. If the company earns profit of ₹ 2,72,850, then the share of A is : (in rupees)

Question 4

The volume of a sphere equals its surface area only when its radius (in units) equals :

Question 5

If the angles of a triangle are in the ratio 2 : 3 : 7 then the largest angle is :

Question 6

The number of positive divisors of 1995 is:

Question 7

While walking a distance of 24 km, a man noticed that after walking for 1 hour and 40 minutes, the distance walked by him was $$\frac{5}{7}$$ of the remaining distance. His speed of walking is :

Question 8

A certain sum is given on compoundinterest atsome rate..The sum amounts to ₹ 7,350 and ₹ 8,575 at the end of 2 years and 3 years respectively. The sum given on compound interest is:

Question 9

The least multiple of 7, which leaves a remainder of 5, when divided by 6, 9 and 15 is :

Question 10

Taps A and B fill an empty tank individually in 8 hours and 6 hours respectively, while tap C empties the full tank in 12 hours. Duetoa problem tap C could not be closed. If the taps A and B are opened alternately for one hour each starting with A, the time taken (in hours)to fill the tank is :

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