List of top Mathematical Ability Questions

Two pipes can separately fill a tank in 20 hours and 30 hours respectively. Both of them are opened and when the tank is \(\frac13\) full, a leak was developed through which \(\frac13\) of the water supplied by the pipes drains out. The total time taken to fill the tank (in hours) is
A person travels 444 km by train, 260 km by bike and 112 km by auto. It took a total of 15 hours. If the speed of the train is 3 times the speed of an auto and \(1\frac12\) times the speed of bike, then the speed of the bike, in kmph, is
Two persons A and B start walking from P to reach Q at speeds of 5 kmph and 4 kmph respectively. If A arrives at Q, 30 minutes before B, then the distance between P and Q in km is
Two persons A and B agreed to complete a work for Rs.1600. A can do that work in 6 days and B can do it in 8 days. With the help of another person C, if they completed that work in 3 days, then the share of C (in Rs.) is
Three persons P, Q, R can complete a work in 36 days and earn Rs.5400. The same work will be completed by P, R in 20 days and earn Rs.1880, whereas Q, R can complete the work in 40 days and charge Rs.3040. The amount R charges to work for 1 day (in rupees) is
Two Pipes can separately fill a tank in 12 minutes and 24 minutes respectively. A waste pipe empties the tank at the rate of 20 liters per minute. If all of them are opened at a time the tank is filled in 24 minutes. Then the capacity of that tank in liters is
Two persons X and Y started a business with investments in the ratio \(7:5\). After 3 months another person Z joined them with the respective ratio between the investments of Y and Z as \(3:4\). If the annual profit earned was Rs.20400, the difference between the X’s share and Z’s share in profit, in rupees, is
A Television was sold at \(30\%\) profit. If it had been sold for Rs.1000 more, then the profit would have been \(40\%\). The cost of Television in rupees is
Three persons A, B and C started a partnership business by investing Rs.3 lakhs, Rs.5 lakhs and Rs.12 lakhs respectively. At the end of the year the profit of B was Rs.4 lakhs. The total profit (in lakhs of rupees) is
A person A sold an article to another person B at a profit of \(8\%\) and B sold the same article to another person C at \(12\%\) profit. The ratio of the S.P. of the two transactions is
Anil spends Rs.35000 per month and saves \(12\frac{1}{2}\%\). The monthly income of Anil in rupees is
If \[ 10.\overline{36}=\frac{p}{q}, \qquad \gcd(p,q)=1 \] then \(p+q=\)
Instead of finding \(\frac{3}{15}\) of a number, a student found \(\frac{5}{13}\) of the number. His answer was 72 more than the correct answer. Find the number.
Two numbers are \(20\%\) and \(30\%\) less than a third number. What percentage of second number is first number?
Ascending order of \[ a=7^{\frac23},\; b=125^{\frac12},\; c=135^{\frac12},\; d=59^{\frac13} \] is
If \[ x=\sqrt{5+\sqrt{5+\sqrt{5+\cdots}}} \] then which one of the following is true?
The sum of all possible values of \(x\) so that the 9 digit number \(384x579x\) is divisible by \(6\) is
The difference between the greatest number of 4 digits and the least number of 5 digits that have 144 as their HCF is
The sum of two numbers is 528 and their HCF is 33. The number of pairs of such numbers that can be formed is
If \[ x=5+\sqrt{24} \] then \[ \sqrt{x}-\frac{1}{\sqrt{x}}= \]
The sum of the cubes of any three consecutive natural numbers is divisible by
Evaluate: \[ \frac{5}{\sqrt[3]{16}-\sqrt[3]{4}+1}-\frac{3}{\sqrt[3]{16}+\sqrt[3]{4}+1} \]
An amount of Rs.1540 is to be distributed among three persons A, B and C such that A is to be given \(\frac{2}{9}\) of the amount B and C together get and B is to be given \(\frac{3}{11}\) of the amount A and C together get. Then C’s share in the total amount (in Rs.) is
If \[ 2^a=4^b=8^c \] and \[ abc=288, \] then \[ \frac{1}{2a}+\frac{1}{4b}+\frac{1}{8c}= \]
If \[ a^x=b^{\frac{1}{y}}=c^{\frac{3}{z}} \] and \[ b^3=ac^2 \] then \(9xy-2zx=\)