In a quadrilateral PQRS, l_S= 90°. A circle (o, r) touches the sides PQ, QR, RS and SP at A, B, C and D respectively. If QR= 38 cm, RS = 25 cm and QA = 27 cm, find 'r'.

How many triangles are there in the following figure?

There are ............ metalloids in the modern periodic table.

Rajaram's son's sister's mother is Ramani. How is Ramani related to Rajaram?

One statement is given followed by two conclusions/assumptions, I and II. You have to consider the statement to be true, even if it seems to be at variance from commonly known facts. You are to decide which of the given conclusions/assumptions can definitely be drawn from the given statement.

Statement: I) Quality has a price tag.

II) India is allocating lots of funds to education.

Conclusions: I) Quality of education in India would improve.

II) Funding alone can enhance quality of education.

Rajesh walks 2 km to south, then turns north­east, and walks 3 km. Then he turns south and walks 2 kms. Then he turns west and walks 4 kms. Finally, he turns north­west and walks 5 kms. In which direction is he from his starting point?

Find the missing number from the given responses:

If 84+96=4842, then 36+78= ?