UP POLICE RADIO OPERATOR QUANT QUIZ

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Question 1:

What should come in place of question mark (?) in the following question?

$4 \frac{1}{2}+4 \frac{3}{4}+9 \frac{3}{4}+6 \frac{7}{8}=?+5 \frac{3}{4} \times \frac{1}{2}+20$

Question 2:

A supplier sells 20 pencils at the marked price of 16 pens to a retailer. The retailer, in turn, sells them at the marked price. What is the percentage profit or percentage loss of the retailer?

Question 3:

A and B invest in the ratio 5: 7. At the end of the year if profit earned was 167,916 rupees, then what is B's share in the profit? (in rupees)

Question 4:

The product of two numbers is $0.646$. If one of them is $1.7$, what will be the other number?

Question 5:

In an isosceles triangle $\mathrm{ABC}, \mathrm{AB}=\mathrm{AC}$ and $\mathrm{AD}$ is perpendicular to $\mathrm{BC}$ at $\mathrm{D}$. If $\mathrm{AD}=8 \sqrt{3} \mathrm{~cm}$ and perimeter of triangle ABC is $128 \mathrm{~cm}$, then the area of $\mathrm{ABC}$ is:

Question 6:

The greatest number of four digits which when divided by 15,18 and 23 leave remainders 5,8 and 13 respectively is

Question 7:

A sum of Rs 10,500 amounts to Rs 13,650 in 2 years at a certain rate per cent per annum simple interest. The same sum will amount to what in 1 year at the same rate, if the interest is compounded half yearly (nearest to Rs.1)?

Question 8:

Read the following Bar graph carefully and answer the given question below:

The following bar graph shows the number of wooden blocks used and the number of benches manufactured by five different companies named $A, B, C, D$, and $E$.

The number of wooden blocks used by company B is what percentage less/more than  the number of wooden blocks company C?

Question 9:

If the present age of $P$ is 15 years and after 6 years the age of $Q$ will be 26 years, then what is the ratio of their present ages?

Question 10:

Find the average of the following set of digits 232,149,208,301,399,415