UP SI MATHS QUIZ-42

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Question 1:

There is a mixture of milk and water having ratio $4: 1 .$ A milkman replaces 16 litres of mixture by 16 litre of water then this ratio becomes $4: 3$. Find the quantity of the original mixture?

Question 2:

$(59)^{8}-(57)^{8}$ is exactly divisible by which of the following ?

Question 3:

In a city St. Xavier's School has two branches A and B. In the year 2020 , both the branches together had a total of 4500 students. In the year 2021 , the number of students in branch A of the school has increased by $20 \%$ and in branch B by $15 \%$. In the year 2021 , the total number of students of both the schools has gone up to 5300 . How many total students were there in the year 2020 in branch B?

Question 4:

A mobile dealer bought two mobiles for RS. 1,10,000 one is of Apple and another is Samsung. He sold apple mobile at $10 \%$ loss while samsung mobile at $20 \%$ profit. Thereby he found that cost price of apple mobile is equal to selling price of samsung mobile. Calculate profit or loss amount.

Question 5:

Tap P can fill a cistern in 24 hours and tap Q can empty the full cistern in 40 hours. If both taps $\mathrm{P}$ and $\mathrm{Q}$ are kept open alternatively for one hour each starting from $\mathrm{P}$, then in how many hours will the empty cistern be completely full?

Question 6:

Suresh bought some pens at the rate of 3 for Rs.2 and the same pens at the rate of 5 for Rs. 4 , If he sold all these at the rate of 6 for Rs. 5 then find the profit/loss %

Question 7:

A rectangular lawn of length $40 \mathrm{~m}$ and breadth $25 \mathrm{~m}$ is to be surrounded externally by a path which is $3 \mathrm{~m}$ wide. Find the cost of making the path at the rate of Rs.20 per $\mathrm{m}^{2}$.

Question 8:

A man starts from his house and travelling at $30 \mathrm{~km} / \mathrm{h}$, he reaches his office late by 10 minutes, and travelling at $24 \mathrm{~km} / \mathrm{h}$, he reaches his office late by 18 minutes. So what is the right time (in minutes) to reach at office:

Question 9:

Three friends A, B and C distributed Rs. 6720 in such a way that A may get $\frac{1}{3}$ as much as $\mathrm{B}$ and $\mathrm{C}$ together get, B may get $\frac{2}{5}$ as much as A and C together. Find the difference between the amount of $\mathrm{A}$ and $\mathrm{C}$.

Question 10:

A certain sum amounts to Rs. 15500 in 2 years at $12 \%$ per annum simple interest. The same sum will amount to what in $1 \frac{1}{2}$ years at $10 \%$ per annum, if the interst is compounded half yearly (nearest to rs.)?