List of practice Questions

Two persons P and Q enter into partnership with capitals of ₹60000 and ₹45000 respectively. After three months P withdrew ₹20000 while Q invested another ₹15000. After another five months R joins the business with a capital of ₹90000. At the end of the year the difference between the profits received by P and R in a total profit of ₹32200 in rupees is

Two pipes A and B can fill a tank in 10 minutes and 15 minutes respectively. Both pipes are opened together, but after 3 minutes, pipe B is closed. How much more time will it take for pipe A to fill the remaining part of the tank?

A tank is connected with two inlet pipes A and B and one outlet pipe C. A, B independently can fill the (empty) tank in 20 hours and 30 hours respectively. If all the three pipes are opened simultaneously it takes 3 hours extra than if only A and B are opened. Then the time in hours required for the pipe C alone to empty the full tank (in hours) is

A train \( T_{1} \) runs at a speed of 50 kmph and \( T_{2} \) runs at a speed of 70 kmph. \( T_{1} \) starts at 8 am from a station and \( T_{2} \) starts from the same station in the same direction at 10 am. At what time do they meet?

Two persons P and Q start from A and travel towards B which is at a distance of 100 km. P's speed exceeds that of Q by 2 kmph. After reaching B, P returns back and meets Q at a distance of 10 km from B. Then the speed of Q (in kmph) is

Three workers A, B C can together complete a piece of work in 8 days. A takes 8 days less than B to complete the same work alone. If A can complete the work alone in 16 days, then the number of days in which C alone can complete the work

Ascending order of \( a=\frac{1}{4}, b=\frac{3}{5}, c=\frac{11}{12}, d=\frac{13}{16}, e=\frac{17}{18} \) is

If 24% of 750 is equal to \( 37\frac{1}{2}\% \) of x, then 70% of x is equal to

If the numerator of a fraction is increased by 15% and its denominator is decreased by 10%, then the percentage of increase in that fraction is

If by selling an article for ₹600, a person loses \( \frac17 \) of its cost price, what would be his gain percentage by selling it for ₹770?

A vendor bought shirts worth ₹10000 and sold half of them at a gain of 25%. Half of the remaining were sold at a profit of 10%. At what price should he sell remaining shirts to gain 15% on the entire transaction (in rupees)?

Two persons A and B started a business with B's investment exceeding that of A by ₹6000. At the end of 8 months from the start of the business B left it and another person C joined the business with investment exceeding that of A by ₹8000. If the ratio between the total annual profit and B's share in the profit was 2:1, then A's investment in ₹ is

If \(ax+b\) is added to \(4x^4+2x^3-2x^2+x-1\), then it is divisible by \(x^2+2x-3\). Then \(2a+b=\)

Traffic lights at three different roads change after 24,36 and 54 seconds respectively.If they set to change simultaneously at 6.00 am then after how many minutes and seconds they change again simultaneously?

LCM of \(x\) and \(y\) is 64800 and HCF of \(x\) and \(y\) is 1080. If \(x>y\), then the least possible value of \(x\) is

r is a rational number such that if 2 is added to its denominator its value is \( \frac{1}{2} \) and if 5 is subtracted from its numerator, its value is \( \frac{1}{3} \). Then \( \frac{1+r}{1-r} = \)

What is the smallest rational number among the following to be added to the following sum to make it an integer: \( 2\frac{2}{3}+4\frac{7}{12}+6\frac{5}{6}+8\frac{11}{36} \)?

In a class of 58 students, the rank of Miss X is 14 from the top. Miss Y has better rank than Miss X and there are 5 students ranks between them. Then the rank of Miss Y from the bottom is

If \(\frac{1}{3}\) of A is equal to 70% of B and \(\frac{2}{3}\) of C is equal to 25% of A, then A:B:C =

Two persons A and B together have ₹6900. \(\frac{2}{5}\) of A's amount is equal to \(\frac{3}{4}\) of B's amount. Then the amount of B, in rupees, is:

If \(a=\frac{\sqrt5+1}{\sqrt5-1}\) and \(b=\frac{\sqrt5-1}{\sqrt5+1}\), then \(a^2+ab+b^2=\)

\(\frac{2}{\sqrt{10+2\sqrt{21}}}-\frac{1}{\sqrt{12-2\sqrt{35}}}+\frac{1}{\sqrt{8-2\sqrt{15}}}=\)

The least digit \(x\) so that the 7-digit number 34x7826 is divisible by 11 is

If
P denotes 'multiplied by',
T denotes 'subtracted from',
M denotes 'added to',
B denotes 'divided by'
then, 28 B 7 P 8 T 6 M 8 = ?

If \( a \perp b = a + 2b + 5 \), \( a \top b = 3a - b + 4 \) for all \( a,b \in \mathbb{R} \), then \( \{(3 \perp 4)\top 5\\perp(6\top 7) = \)}