Mix Test 4...

Let a cuboid forms by melting n number of silver coins. A silver coin is of 1.75 cm in diameter and thickness is 2 mm. The dimensions of cuboid are 5.5 cm \(\times\) 10cm \(\times\) 3.5 cm? Then total number of required silver coins is

A man’s age is three times the sum of the ages of his two sons. After 5 years, his age will be twice the sum of the ages of his two sons. Then the age of the man is

A fraction becomes \(\frac{1}{3}\), if 2 is added to both of its numerator and denominator. The same fraction becomes \(\frac{2}{5}\), when 3 is added to both its numerator and denominator. Let the original fraction be \(\frac{\mathrm x}{y}\)

\(\frac{\mathrm x+2}{y+2}=\frac{1}{3}\) implies:

A fraction becomes \(\frac{1}{3}\) , if 2 is added to both of its numerator and denominator. The same fraction becomes \(\frac{2}{5}\), when 3 is added to both its numerator and denominator. Let the original fraction be \(\frac{\mathrm x}{y}\) .

\(\frac{\mathrm x+3}{y+3} = \frac{2}{5}\) implies:

A fraction becomes \(\frac{1}{3}\), if 2 is added to both of its numerator and denominator. The same fraction becomes \(\frac{2}{5}\), when 3 is added to both its numerator and denominator. Let the original fraction be \(\frac{\mathrm x}{y}\)

The value of x is:

A fraction becomes \(\frac{1}{3},\) if 2 is added to both of its numerator and denominator. The same fraction becomes \(\frac{2}{5},\) when 3 is added to both its numerator and denominator. Let the original fraction be \(\frac{\mathrm x}{y}\).

The value of y is: 

A fraction becomes \(\frac{1}{3},\) if 2 is added to both of its numerator and denominator. The same fraction become \(\frac{2}{5},\) when 3 is added to both its numerator and denominator. Let the original fraction be \(\frac{\mathrm x}{y}\).

Required (original) fraction is: 

The corresponding sides of two similar triangles are in the ratio 2 : 3, if the area of the smaller triangle is \(48\, cm^2\), then the area of the larger triangle is