UP LEKHPAL MATHS QUIZ 1

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Question 1:

‘A’ is 40% less efficient than ‘B’ who can do the same work in 50% less time than ‘C’. If A and B together can complete 60% of the work in 120 days, then in how many days 90% of the work can be completed by B and C together?

Question 2:

At what rate of interest will a sum of Rs 4,500 amount to Rs 6,525 at simple interest for 5 years?

Question 3:

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 4:

Evaluate the following : $\frac{(14.5)^{3}+(9.5)^{3}}{(14.5)^{2}+(9.5)^{2}-(14.5) \times(9.5)}$

Question 5:

By selling a book for Rs. 25.65 a trader makes a loss of $5 \%$. If he sold it for Rs. 31.05, then find his profit percent or loss percent.

Question 6:

A car covers a distance of $44 \mathrm{~km}$ in $2 \frac{3}{4}$ litres of petrol. How much distance can a car cover in 1 litre of petrol?

Question 7:

Pipe A can fill a tank in 30 minutes while pipe B can fill the same tank in 15 minutes and pipe C can empty the tank in 20 minutes. If Pipe A is opened for 5 minutes while pipe C is closed before 10 minutes to fill the tank by Band C. Find in how many minutes tank will completely fill.

Question 8:

If $(10 x+3 y):(5 x+2 y)=9: 5$, then $(2 x+y):(x+2 y)=?$

Question 9:

Find the difference between the largest 5-digit number and the smallest 4-digit number.

Question 10:

Average weight of 64 boys is $46 \mathrm{~kg}$ and the average weight of 36 girls are $38 \mathrm{~kg}$. What is the average weight of the class?