# UP SI MATHS QUIZ-30

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## Question 1:

Sumit invested Rs. 50,000 each in two banks for 2 years. The first bank gives simple interest at the rate of $11 \%$ per annum, while the other bank gives compound interest, compounded annually at the rate of $10 \%$ per annum. How much interest did he earn from the two banks in 2 years?

## Question 2:

The value of $\frac{5}{8} \div\left(\frac{8}{11} \times 2 \frac{3}{4} \div \frac{4}{9}\right)+5 \frac{1}{3} \div\left(5 \frac{1}{4} \div \frac{3}{8} \times \frac{3}{7}\right) \div1 \frac{7}{9}$ is

## Question 3:

When 3738, 565 and 9501 are divided by the greatest possible number $x$, the remainder in each case is $y$. What is the difference of $y$ and $x$ ?

## Question 4:

A girl spends $80 \%$ of her income. If her income increase by $18 \%$ and her expenditure increases by $25 \%$, then what is the percentage increase or decrease in her savings (correct to one decimal place)?

## Question 5:

The cost price of two products A and B is Rs. 500 and Rs. y respectively. A man marked up the price of these products by 20%and 25% respectively and offered a discount of 15% and 30% respectively on their marked price. If the marked price of product B is Rs. 250 more than that of product A, then what is the profit or loss amount after selling product B by him?

## Question 6:

The mean of the marks of three students in an examination of total 45 marks is 38 . Two fresh students appeared in the examination. What is the lowest score that can be obtained by the freshman who has scored less marks than the second freshman so that the total average of the marks of five students becomes 40 ?

## Question 7:

In a 60 liters mixture, ratio of milk and water is $5: 7$. If $x$ liters of mixture is replaced by pure milk, the proportion of milk and water becomes same. Find the value of $x$. (in liters)

## Question 8:

A train after covering half of the distance met with an accident. It takes 1 hour for repairing and now speed of train decreases to $\frac{2}{3}$ of its usual speed and reach destination $2 \frac{1}{2}$ hours late. Find usual time taken to cover complete distance.

## Question 9:

84 persons take 56 days to complete a certain task. When one-fourth of the task was completed one-seventh of the workers left. How many days in all does it take to complete the entire task?

## Question 10:

If the width of the path around a square field is $4.5 \mathrm{~m^2}$ and the area of the path is $252 \mathrm{~m}$, then the length of the side of the field is: