P speaks truth in 70% of the cases and Q in 80% of the cases. In what percent of the cases they are likely to agree in the same fact ? Do you think, when the agree, means both are speaking truth.

A speaks truth in 75% of the cases, while B in 90% of the cases. In what percent of cases are they likely to contradict each other in stating the same fact ? Do you think that statement of B is always true ?

A speaks truth in 75% and B in 80% of the cases. In what percentage of cases are they likely to contradict each other in narrating the same incident?

X speaks truth in 60% and 'Y' in 50% of the cases. The probability that they contradict each other while narrating the same incident is

In which of the following case do you think the long term effects on your health are likely to be most. * If you get jaundice * If you get Lice * If you get acne

The choice of a reducing agent in a particular case depends on thermodynamic factor. How far do you agree with this statement? Support your opinion with example.

The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational, and of the form, p/q what can you say about the prime factors of q? 0.120120012000120000…

The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational, and of the form, p/q what can you say about the prime factors of q? 43.123456789