Usha runs faster than Kamala, Priti runs slower than Swati, Swati runs slower than Kamala. Who is the slowest runner?

If ABC x DEED = ABCABC; where A, B, C, D and E are different digits, what are the values of D and E?

Consider the following statements:

1. Some claim to have seen UFOs (Unidentified Flying Objects).
2. Life on other heavenly bodies is considered to be a possibility. 
3. Voyage to space is now an established fact.

From the above statements, it may be concluded that

 Consider the following statements followed by two conclusions: 
Statements: Some men are great.
        Some men are wise.
Conclusion I:  Men are either great or wise. 
Conclusion II: Some men are neither great nor wise
Which one of the following is correct?

 Each of the six different faces of a cube has been coated with a different colour i.e., V, I, B, G, Y and O. Following information is given:

1. Colours Y, O and B are on adjacent faces.
2. Colours I, G and Y are on adjacent faces.
3. Colours B, G and Y are on adjacent faces.
4. Colours O, V and B are on adjacent faces.

Which is the colour of the face opposite to the face coloured with O?