Instructions

For the following questions answer them individually

Question 101

If the resulting numbers be the consecutive terms of Harmonic Progression, then what number should be added to the numbers 8, 10, 14?

Question 102

The population of Kompally village is 10,000. The population increases by 10% in the first year and 15% in the second year. Due to increase in pollution the population decreases by 5% in the third year. What will be its population after 3 years (round off number)?

Question 103

What is the value of x in the following equation?

$$3 \log \frac{3}{5} - \log \frac{x}{21} + 2 \log \frac{25}{9} = 0$$

Question 104

In a cricket stadium, the people are made to sit to watch the match. If the organisers make a row of 15 people each, there will be 10 people left. If they make rows of 20 people each then there will be 15 people left and if they make rows of 24 people each, 19 people will be left. If they make rows of 28 people each there will be 23 people left. Find the minimum number of people present in the stadium.

Question 105

The ratio of the number of sides of two regular polygons is 2 : 3 and the ratio of the sum of their interior angles is 5 : 8. What is the number of sides of the first polygon and the measure of the interior angle (in degrees) of the second polygon, respectively?

Question 106

The GST on groceries is reduced by 20% and its consumption increases by 15% . Find the percentage of effect on revenue.

Question 107

A spherical disc of radius 5 cm is placed on a horizontal surface against a vertical wall as given.

Another small disc is placed in the gap between the right angle and the disc such that the horizontal surface, vertical wall, the larger disc, and the smaller disc touch each other. What is the radius (in cm) of the smaller disc ?

Question 108

The remainder is 20, when a number is divided by a divisor. If the remainder is 7 when thrice the original number is divided by the same divisor, find the value of the divisor.

Question 109

ABCDE is a pentagon. There are 5 paths connecting A and B, 4 paths connecting B and C, 6 paths connecting C and D, 5 paths linking D and E, 3 paths connecting E and A. Also, 3 paths joining A and C. If an ant starting from A is always heading towards point C, how many different valid routes can it take?