List of top General Aptitude Questions

A and B walk from X to Y, a distance of 27 km at 5 kmph and 7 kmph respectively. B reaches Y and immediately turns back meeting A at Z. What is the distance from X to Z?

$\log_{6} 216 \sqrt{6}$ is:

There is a leak in the bottom of the tank. This leak can empty a full tank in 8 hours. When the tank is full, a tap is opened into the tank which admits $6$ litres per hour and the tank is now emptied in 12 hours. What is the capacity of the tank?

Which is the least number that must be subtracted from $1856$, so that the remainder when divided by $7$, $12$, and $16$ is $4$?

Fourth term of an arithmetic progression is $8$. What is the sum of the first $7$ terms of the arithmetic progression?

It takes the pendulum of a clock 7 seconds to strike 4 o’clock. How much time will it take to strike 11 o’clock?

Along a road lie an odd number of stones placed at intervals of 10 m. These stones have to be assembled around the middle stone. A person can carry only one stone at a time. A man carried out the job starting with the stone in the middle, carrying stones in succession, thereby covering a distance of 4.8 km. Then the number of stones is:

What is the smallest number which when increased by 5 is completely divisible by 8, 11 and 24?

A man buys spirit at Rs. 60 per litre, adds water to it and then sells it at Rs. 75 per litre. What is the ratio of spirit to water if his profit in the deal is 37.5%?

Four friends start from four towns, which are at the four corners of an imaginary rectangle. They meet at a point which falls inside the rectangle, after travelling distances of 40, 50 and 60 metres. The maximum distance that the fourth could have traveled is (approximately)….

If the harmonic mean between two positive numbers is to their geometric mean as $12 : 13$, then the numbers could be in the ratio:

If one root of $x^{2} - 7 + 12 = 0$ is $4$, while the equation $x^{2} - 7x + q = 0$ has equal roots, then the value of $q$ is:

Value of $Ma \left[ md(a), \ mn(md(b), a), \ mn(ab, md(ac)) \right]$ where $a = -2$, $b = -3$, $c = 4$ is:

Given that $a>b$ then the relation $Ma[md(a), \ mn(a, b)] = mn[a, \ md(Ma(a, b))]$ does not hold if:

A water tank has three taps A, B, and C. A fills four buckets in 24 minutes, B fills 8 buckets in 1 hour, and C fills 2 buckets in 20 minutes. If all the taps are opened together a full tank is emptied in 2 hours. If a bucket can hold 5 litres of water, what is the capacity of the tank?

Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is $\frac{3}{4}$ times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was half as much again as that from Chandigarh to Shimla. If the average speed for the entire journey was 49 kmph, what was the average speed from Chandigarh to Shimla?

If $a + b + c = 0$, where $a \neq b \neq c$, then \[ \frac{a}{2a^2 + bc} + \frac{b}{2b^2 + ac} + \frac{c}{2c^2 + ab} \] is equal to:

A right circular cone, a right circular cylinder and a hemisphere, all have the same radius, and the heights of the cone and cylinder are equal to their diameters. Then their volumes are proportional, respectively, to:

Two towns A and B are 100 km apart. A school is to be built for 100 students of town B and 30 students of Town A. Expenditure on transport is Rs. 1.20 per km per student. If the total expenditure on transport by all 130 students is to be as small as possible, then the school should be built at:

One man can do as much work in one day as a woman can do in 2 days. A child does one-third the work in a day as a woman. If an estate-owner hires 39 pairs of hands — men, women, and children — in the ratio 6 : 5 : 2 and pays them in all Rs. 1113 at the end of the day's work, what must the daily wages of a child be, if the wages are proportional to the amount of work done?

A right circular cone of height $h$ is cut by a plane parallel to the base and at a distance $h/3$ from the base. Then the volumes of the resulting cone and the frustum are in the ratio:

A, B and C individually can finish a work in 6, 8 and 15 hours respectively. They started the work together and after completing the work got Rs. 94.60 in all. When they divide the money among themselves, A, B and C will respectively get (in Rs.):

Two trains are traveling in opposite directions at uniform speeds of 60 km/h and 50 km/h respectively. They take 5 seconds to cross each other. If the two trains had traveled in the same direction, then a passenger sitting in the faster moving train would have overtaken the other train in 18 seconds. What are the lengths of the trains (in metres)?

The set of natural numbers is partitioned into subsets $S_1 = \{1\}$, $S_2 = \{2, 3\}$, $S_3 = \{4, 5, 6\}$, $S_4 = \{7, 8, 9, 10\}$ and so on. The sum of the elements of subset $S_{50}$ is:

A square is drawn by joining the midpoints of the sides of a given square. A third square is drawn inside the second square in the same way and this process is continued indefinitely. If a side of the first square is 8 cm, the sum of the areas of all the squares thus formed (in sq.cm) is: