UP POLICE CONSTABLE MATHS QUIZ-7

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Question 1:

A sum of money, compounded annually, doubles itself in 5 years at compound interest. In how many years will it become four times?

Question 2:

If the edge of a cube is increased by $4 \mathrm{~cm}$, then its volume increases by $988 \mathrm{~cm}^{2}$. Then what is the original length of each edge of the cube?

Question 3:

The ratio of the ages of Raju and his son is 8 : 3. The product of their ages is 600 and the ratio of the ages of Raju and his wife is 10 : 9. After 3 years, what will be the ratio of age of Raju's wife to that of son?

Question 4:

A bicycle rider covers his onward journey from A to B at $10 \mathrm{~km} /$ $\mathrm{hr}$ and during the return journey from $\mathrm{B}$ to A he covers same distance at $8 \mathrm{~km} / \mathrm{hr}$. If he finishes the onward and return journey in $4 \frac{1}{2}$ hours, then the total distance covered by him during the entire journey is?

Question 5:

The ratio of days required by $A$ and $B$ to complete some work is $3: 5$. They need $5 \frac{5}{8}$ days to complete the work. In how many days can $A$ alone do twice the work?

Question 6:

Simplify:   $72-4(40+24 \div 8 \times 6-4 \times 4)+20$

Question 7:

Kiran buys an article with 25% discount on the marked price. He makes a profit of 10% by selling it at Rs.660. What was the marked price?

Question 8:

Rakul saves $x \%$ of her income. If her income increases by $21.75 \%$ and the expenditure increases by $20 \%$, then her savings increase by $25 \%$. What is the value of $x$ ?

Question 9:

The LCM of two numbers is 4 times their HCF. The sum of LCM and $\mathrm{HCF}$ is 125 . If one of the numbers is 100 , then the other number is.

Question 10:

The average of 75 scores is 45 . The average of the first 50 scores is 42 and that of the last 26 scores is 52. What is the 50th score?