CMAT Fraction and Decimals Practice Questions With Solutions

What value comes in place of question mark (?) in the following statements and arrange them in descending order.
$A. \frac{5}{9}\times(225.40-45.4)=(?)^{2}$
$B. \sqrt{1024} \times 40 + (20)^{2}+0.5\% Of 9600+469=(?)^{3}$
$C. 8^{12} \div 16^{2} of 32^{3}\times\sqrt{256}=(2)^{?}$
$D. 18{\frac{1}{3}} + 9 {\frac{2}{3}} - 10 {\frac{1}{3}}=1 {\frac{2}{3}}+?$
Choose the correct answer from the options given below :

Three vessels 'P', 'Q' and 'R' of same capacity are all full. Vessels 'P' and 'Q' contain mixture of milk and water in the ratios 4 : 1 and 7 : 3 respectively while vessel 'R' contains
only pure milk. The contents of these vessels are poured into a larger vessel 'S'. After drawing 30 litres of mixture from vessel 'S', the final quantity of water left in vessel 'S' is 40 litres, then the capacity of each vessel is :

Reema had 'n' chocolates. She distributed them among 4 children in the ratio of $\frac{1}{2} : \frac{1}{3} : \frac{1}{5} : \frac{1}{8}$. If she gave them each one a complete chocolate, the minimum number of chocolates she had distributed.

A glass jar contains 1 red, 3 green, 2 blue and 4 yellow marbles. If a single marble is chosen at random from the jar

B) Probability of getting a green marble is $\frac{3}{10}$

D) Probability of getting either a red or a yellow marble is $\frac{3}{10}$

Arrange the following in increasing order:

Choose the correct answer from the options given below:

If x > 0, then which of the following expressions are equal to 3.6% of $\frac{5x}{12}$?

Given below are two statements :
Statement I: The ratio of the son's age to the father's age is 1 : 5. The product of their ages is 245. The ratio of the son's age to the father's age after 9 years will be 3 : 5.
Statement II: A milkman adds 30 litres of water to 70 litres of milk. After selling 1/5th of the total quantity, he adds water equal to the quantity he sold. The proportion of water to milk he sells now would be 28 : 72.
In the light of the above statements, choose the correct answer from the options given below.

If $x - \frac{1}{x} = y, y - \frac{1}{y} = z, z - \frac{1}{z} = x$, there which of the following equations are true?
A. $\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 0$
B. $\frac{1}{x^{2}} + \frac{1}{y^{2}} + \frac{1}{z^{2}} = 8$
C. $\frac{1}{xy} + \frac{1}{yz} + \frac{1}{zx} = -3$
Choose the correct answer from the options given below:

Arrange the following numbers in increasing order :
A. $\sqrt{59} - \sqrt{51}$
B. $\sqrt{37} - \sqrt{29}$
C. $\sqrt{87} - \sqrt{79}$
D. $\sqrt{79} - \sqrt{71}$
Choose the correct answer from the options given below:

Which of the following statements are true?
A. If $x : y = 3 : 1$ then $x^{3} - y^{3} = \frac{10}{11}$
B. If $x = y + 12, x : y = 3:2$ and $z:y = 1:3$, the $z + x = 44$
C. If $3x = 8y$ and $5y = 9z$, then $\frac{x}{z} = \frac{72}{15}$
Choose the most appropriate answer from the options given below: