1/10

The length of a direct common tangent to two circles where d is the distance between the centres of the circles, and r1 and r2 are the radii of the given circles.

**Explanation:**√d^2-(r1-r2)^2

2/10

Find the least perfect cube divisible by 2, 3, 4 and 6.

3/10

The difference between two integers is 5 and their product is 500. Find the numbers

4/10

Area of a square field is 24200 m². How long will it take for a person to cross the field diagonally at the rate of 4.4 km/h?

5/10

Find the volume of a sphere whose surface area is 1386 m²

6/10

"Eighteen men can complete a piece of work in 64 days. 9 women can complete it in 108 days, whereas 7 children can finish it in 216 days. How many days will 16 men, 9 women and 21 children together take to complete the same work?"

7/10

Five years ago, ratio of ages of P and Q was 7 : 9. Ten years hence, this ratio would become 5 : 6. What is the ratio at present?

8/10

Tank 'A' is two-fifths full. Pipe P can fill it in 10 minutes while pipe Q can empty it in 6 minutes. In what time )7 minuteswill the tank get empty, if both P and Q are opened?

9/10

Simplify: 0.05 × 0.002

10/10

"If only the measures of the diagonals are given, which of these quadrilateral can be constructed? 1) Square 2) Rectangle 3) Rhombus"

**Result:**

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