SSC MTS MATHS QUIZ- 15

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Question 1:

If the number $A 9257 B 684$ is divisible by 11 , then what is the least value of $A-B$ ?

Question 2:

A's salary increases in the ratio $8: 11$. If his new salary is Rs. 33,000 , then what was his original salary (in Rs.)?

Question 3:

The sum of the radius of the base and the height of a closed solid cylinder is $12.5 \mathrm{~cm}$. If the total surface area of the cylinder is $275 \mathrm{~cm}{ }^{2}$, then its radius is: (Take $\left.\pi=\frac{22}{7}\right)$

Question 4:

The sum of two numbers is 59 and their product is 1150 . Find the sum of their squares.

Question 5:

At an election there were two candidates. A candidate got $38 \%$ of votes and lost by 7200 votes. The total number of valid votes is______.

Question 6:

The radius of a solid metallic sphere is equal to $15 \mathrm{~cm}$. It is melted and drawn into a long wire of radius $15 \mathrm{~mm}$ having uniform cross-section. Find the length of the wire.

Question 7:

A shopkeeper sells two refrigerator sets at the same price. He gains $40 \%$ on one refrigerator and loses $40 \%$ on the other. What is his net loss percentage in the whole transaction?

Question 8:

Simplify the following expression.

$\left(3 \frac{2}{3} \text { of } \frac{3}{4}-\frac{1}{4} \text { of } \frac{4}{3}\right) \div\left(\frac{1}{4} \div \frac{3}{2}\right)+1 \frac{1}{2}$

Question 9:

Varun and Syan can do a work in 3 days, Syan and Anil can do it in 4 days, and Anil and Varun can do it in 6 days. How many days will Anil alone take to do the work?

Question 10:

If $(a+b+c)=0$ and $(a b c)=12$, then what is the value of $\left(a^{3}+b^{3}+c^{3}\right) ?$