SSC CPO QUANT QUIZ-4

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Question 1:

If $a+b=18, a b=72$ and $a^{3}+b^{3}=5832$ then find the value of $\frac{\mathrm{a}^{2}+\mathrm{b}^{2}}{\mathrm{ab}}$.

Question 2:

If (2x + 3) : (5x + 4) is the triplicate ratio of $3: 4$, find the square of 'x'?

Question 3:

The average age of 11 players and their coach is 43 years. The average age of the first 5 players is 39 years and the average age of the other 6 players is 40 years. What is the age (in years) of the coach?

Question 4:

The ratio of length and breadth of a rectangle is $3: 1$. If its perimeter is $96 \mathrm{~m}$, then what will be the length of the rectangle?

Question 5:

A sphere of radius $9 \mathrm{~cm}$ is moulded to form a cylinder of radius $3 \mathrm{~cm}$. Find the height of the cylinder.

Question 6:

In $\mathrm{ △ ABC}, \mathrm{AB}=6 \mathrm{~cm}$ and $\mathrm{AD}$ is the angle bisector of $\mathrm{A}$. If $\mathrm{BD}: \mathrm{DC}=3: 2$, them what will be the value of $\mathrm{AC}$ ?

Question 7:

In the circle given below, the chord AB is produced to meet the tangent DE at D. If AB=24 cm ,  DE=9 cm, then what is the length of BD?

Question 8:

What is the smallest number which if divided by 35,45,55 leaves remainder 18,28,38 respectively?

Question 9:

What is the HCF of $\frac{15}{14}, \frac{12}{35}$ and $\frac{40}{49}$ ?

Question 10:

If the HCF of two numbers is 43 and their LCM is 430 then find the numbers?