Mix Test - 5...

Find the third proportional to 6 and 12.

If \(\mathrm{A}: \mathrm{B}: \mathrm{C}=2: 3: 4,\) then the ratio \(\frac{A}{B}: \frac{B}{C}: \frac{C}{D}\) is equal to:

The value of \(k\), for which the system of equations \(3 x - ky -20=0\) and \(6 x -10 y +40=0\) has no solution, is:

The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.

A shopkeeper purchased a bicycle for Rs. 1250 and spends 20% of it on its repairing, and he sold it for Rs. 1650. Find his loss or profit percent.

Let \(x=(633)^{24}-(277)^{38}+(266)^{54}\). What is the unit digit of \(x\)?

Find simple Interest on Rs. 3000 at 15% per annum for 8 months.

An article costing Rs. 220 was sold for Rs. 206.8. How much discount was offered?

Vishnu sells an article at 25% profit. Had he sold it for Rs. 51 more, he would have gained 28%. The cost price of the article will be:

Find the number of odd factor of 540.