UP LEKHPAL QUANT QUIZ

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Question 1:

If $\frac{\operatorname{Sec} \theta}{\operatorname{Cosec} \theta}+\frac{\operatorname{Cos} \theta}{\operatorname{Sin} \theta}=2$, then find the value of $\operatorname{Sin}^{2} \theta+\operatorname{Sec}^{2} \theta$

Question 2:

A man traveling at the rate of $4 \mathrm{kmph}$ covers some distance in $3$ hours $45$ minutes if the same person cycling at the speed of $16.5 \mathrm{kmph}$ will cover the same distance in how much time?

Question 3:

A trader marks his goods at 20% above the cost price. He sells 60% of the goods at the marked price and the rest, he sells by allowing a 30% discount on the marked price. His profit or loss percentage is:

Question 4:

Two pipes P and Q can fill a tank in 24 hours and 32 hours respectively. If both pipes are opened simultaneously, then find the what time should the first pipe be closed so that it takes only 16 hours to fill the tank ?

Question 5:

Ruchika's expenditure and savings are in the ratio $5: 3$. If her income increase by $12 \%$ and expenditure by $15 \%$ then by how much percent does his saving increase?

Question 6:

Simplify and find the value of $x$ in the following question:

$16 \frac{3}{5}-11 \frac{7}{10}+3 \frac{1}{2}=1 \frac{7}{9}+x$

Question 7:

If the length and perimeter of a rectangle are in the ratio $1: 3$ and the area of rectangle is $338 \mathrm{~cm}^{2}$, then the breadth (in $\mathrm{cm}$ ) of the rectangle is:

Question 8:

The LCM of two numbers is twice the HCF of that numbers. If the product of the numbers is 98 then the sum of HCF and LCM is:

Question 9:

A man invested an amount of ₹15,000 at a certain rate of interest per annum to obtain a total amount of ₹24600 in 8 years at simple interest. What will be the rate of interest to obtain the given amount?

Question 10:

A factory kept increasing its output by the same percentage every year. Find the percentage if it is known that the output is doubled in the last two years.