SSC GD 19th Feb 2019 Shift-1

When a person goes to his office from his house with a speed of 10 km/hr, he is late by 20 minutes. When he goes with speed of 15 km/hr, he is late by 5 minutes. What is the distance (in km) between his office and house?

The value of: $$\left[\frac{5}{7}of1\frac{3}{8}-\frac{5}{8}of\frac{6}{7}\right]\div \left[1-\frac{1}{7}\times \left(\frac{5}{12}+\frac{1}{3}\right)\right]\times \frac{\frac{1}{7}-\frac{1}{9}}{\frac{1}{7}+\frac{1}{9}}$$

What is the sum of digits of the least number which when divided by 21, 28, 30 and 35 leaves the same remainder 10 in each case but is divisible by 17?

A park is in the shape of a rectangle. Its length and breadth 240 m and 100 m, respectively. At the centre of the park, there is a circular lawn. The area of the park, excluding the lawn is 3904 $$m^2$$. What is the perimeter (in m) of the lawn? (use $$\pi = 3.14$$) 

The value of:
$$1.25 - [1 \div \left\{3 + (2 - 0.4 \times 2.5)\right\}]$$

The profit on selling 35 mangoes is equal to the cost price of 7 mangoes. What is the profit percentage?

A train takes 3 hours less time for a journey of 360 km, if its speed is increased by 10 km/hr from its usual speed. What is its increased speed (in km/hr)?

After allowing a discount of $$12\frac{1}{2}$$% on the marked price of an article. it was sold for ₹700. Had the discount NOT been given, the profit would have been 60%.The cost price of the article is:

If (x + 4), (x + 12), (x - 1), and (x + 5) are in proportion then the mean proportional between x and (x - 7)is:

Three positive number are given.If the average of any two of them is added to the third number, the sums obtained are 172, 216 and 180. What is the average of the given three numbers?