Quantitative Aptitude - Arithmetic Ability Questions

What is the difference of the factors of the expression x2 + (1/x2) – 6?

A train travelling at 76 kmph crosses a 450 m long platform in 27 seconds. What is the length of the train?

What is the value of [(cos 3θ + 2cos 5θ + cos 7θ)÷(cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?

For triangle PQR, what is the equation of altitude PS if co­ordinates of P, Q and R are (5,1), (0,­4) and (­2,3) respectively?

If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1 )] + [1/(2 + x2 )] + [1/(2 + x3 )]?

A bag contains coins of denominations Rs.1, Rs.5 and Rs.10. Assuming there are equal number of Rs.1, Rs.5 and Rs.10, what will be the total number of coins in the bag be if the total money is Rs. 368?

Find the odd word/letters/number from the given alternatives.

Select the odd word/letters/number/number pair from the given alternatives.