SSC MTS MATHS QUIZ-42

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Question 1:

The ratio of acid to water in solutions A and B is 2 : 7 and 4 : 5, respectively: these solutions are mixed in the ratio of 4 : 3. What is the ratio of acid to water in the resulting solution?

Question 2:

The value of $\frac{4}{5} \times 1 \frac{1}{9}+\frac{8}{15}+\left(5 \frac{1}{4}+\frac{3}{7}\right.$ of $\left.\frac{1}{4} \times \frac{2}{7}\right)+5 \frac{3}{5}-\frac{1}{4} \div \frac{3}{2}$ is:

Question 3:

Out of two numbers, $65 \%$ of the smaller numbre is equal to $45 \%$ of the larger number. If the sum of the number is 2574, then what is the value of larger number?

Question 4:

The simple interest on a sum of money invested for a period of 10 years is equal to $\frac{4}{5}$ th of the sum invested. What is the rate of simple interest per annum that is being given?

Question 5:

$\mathrm{A}$ and $\mathrm{B}$ currently have an age ratio of $7: 3$. After 7 years this age ratio will become $2: 1$. After how many years from now will the age ratio between the ages of $\mathrm{A}$ and $\mathrm{B}$ become $3: 2$ 


Question 6:

If $x-y=5$ and $x^{3}-y^{3}=250$, then the value of $3 x y$ is -

Question 7:

The marked price of an article is Rs. 4,450 . If a person earns a profit of $15 \%$ after allowing a discount of $15 \%$, then the cost price (in Rs.) (correct to the nearest integer) of the article is:

Question 8:

The curved surface area of a cone is $\frac{3432}{7} \mathrm{~cm}^{2}$ and its radius is $12 \mathrm{~cm}$. What is the radius of a sphere whose volume is $1.2$ times the volume of the cone?

(Take $\pi=\frac{22}{7}$ )

Question 9:

A train covers a distance of 108 km at a certain speed. If its speed is increased by 18 km/ h, it would take 18 minutes less to cover the same distance. What is the original speed (in km/h) of the train?

Question 10:

A sum of Rs. 4,095 is divided between A, B, C and D such that the ratio of the shares of A and B is 1 : 3. That of B and C is 2 : 5 and that of C and D is 2 : 3. What is the difference (in Rs.) between the shares of B and D?