List of top Mathematical Ability Questions

The dimensions of a brick and a wall are \(20\text{ cm} \times 10\text{ cm} \times 7.5\text{ cm}\) and \(25\text{ m} \times 2\text{ m} \times 0.75\text{ m}\) respectively. How many bricks (in thousands) are required to construct the wall?

A certain number of persons were hired to complete a job in 60 days. If 8 more persons are hired then the job could be completed in 10 days less. How many persons were hired originally?

A person sells a table for a profit of \(12\frac12\%\) and a chair for a loss of \(8\frac13\%\), so that he gains ₹25 on the whole. Had he sold the table at \(8\frac13\%\) loss and the chair at \(12\frac12\%\) profit, he would have been neither a gainer nor a loser. Then the cost price of the table in ₹ is:

A person A started a business by investing ₹40000. After 3 months another person B joined him by investing ₹50000. After a few months another person C joined them by investing ₹60000. At the end of the year they shared their profits in the ratio \(16:15:14\). When did C join the business?

A boy divided his total journey into 3 equal parts, with each part being \(x\) km. He travelled for a total time of one hour with speeds of \(y\) kmph, \(\frac{3y}{5}\) kmph, and \(\frac{2y}{5}\) kmph. Then \(x:y=\ ?\)

Two pipes A and B can independently fill a cistern in 12 minutes and 18 minutes respectively. A third pipe C can empty the same cistern when full in 9 minutes. If all three pipes A, B, and C are opened together, in how many minutes will the cistern be empty?

Two persons A and B started a partnership business by investing capital in the ratio of \(5:3\). After 6 months C joins them by investing capital equal to that of A. At the end of the year the ratio of the profits to be shared by them is:

A cistern has two pipes A and B which can fill the cistern independently in 18 hours and 24 hours respectively. If they are opened alternately with one hour duration starting with A, then the time required to fill the empty cistern (in hours) is:

A trader mixes 50 kgs of grains which costs ₹20 per kg with 50 kgs of the same grain which costs ₹25 per kg and spends ₹900 on transport. He sells the mixture at ₹27 per kg. Find his gain or loss percent.

If \(38\%\) of \((A+B)\) is equal to \(68\%\) of \((A-B)\) and if \(x\%\) of \(B\) is \(A\), then \(x=\ ?\)

A trader marks an article \(25\%\) above its cost price and sells it by giving a discount of \(15\%\). If its selling price is ₹9350, then its cost price, in rupees, is:

In a school there are 72 students. The ratio of girls to boys is \(6:3\). Miss X is a girl who is in the \(14^{\text{th}}\) position from the top when ranked as per their marks. If there are 9 girls before her, then the number of boys behind her (i.e., who got lesser ranks than Miss X) is:

If \(46.\overline{35}=\frac{m}{n}\), where \(m,n\) are positive integers and \(\gcd(m,n)=1\), then \(m+n=\ ?\)

The descending order of \[ a=\frac12,\quad b=\frac29,\quad c=\frac7{12},\quad d=\frac8{15},\quad e=\frac{11}{16} \] is:

The sum of a rational number \(x\) and its reciprocal is \(\frac{113}{56}\). If \(x=\frac{m}{n}\), where \(\gcd(m,n)=1\), then \(m^2+n^2=\ ?\)

If \(N\) is the largest integer that will divide \(1305\), \(4665\), and \(6905\) leaving the same remainder, then the sum of all prime numbers that divide \(N\) is:

If the number \(7x342y\) is divisible by \(88\), then \((x,y)=\ ?\)

The number of divisors of \(44100\) which are perfect squares is:

The least number of square tiles required to cover the floor of a room with dimensions \(24\) meters \(78\) cm \(\times\) \(27\) meters \(26\) cm is:

If \[ \frac{7}{\sqrt3+\sqrt{10}} + \frac{8}{\sqrt3+\sqrt7} + \frac{9}{\sqrt7+\sqrt{10}} = p\sqrt3+q\sqrt7+r\sqrt{10}, \] then \(p^2+q^2+r^{-2}\) equals:

If \(x:y=4:5\), then \((5x+4y):(10x-2y)=\ ?\)

The ratio of milk and water in a can of 36 liters is \(3:1\). If 6 more liters of water is added, then the ratio of the milk and water will be:

\[ \frac{\left(a^{\frac12}b^{-\frac16}\right)^3- \left(a^{\frac16}b^{\frac13}\right)^3} {a^{\frac12}-b^{\frac12}} = ? \]

\[ 64^{\frac13} - 81^{\frac14} + 625^{\frac14} = ? \]

If \[ \sqrt{12+4\sqrt5} + \sqrt{16-4\sqrt7} = \sqrt{x}+\sqrt{y}, \] then find the value of \[ \sqrt{35xy}. \]