List of top Quantitative Aptitude Questions

Jogen’s taxable income for 2010-11 is Rupees 5,00,000. The tax rates are:
(i) nil for first 1,50,000,
(ii) 10% for 1,50,001—3,00,000,
(iii) 20% for the remaining. What is his tax liability?

Rekha drew a circle of radius 2 cm on a graph paper of grid 1 cm × 1 cm. She then calculated the area of the circle by adding up only the number of full unit-squares that fell within the perimeter of the circle. If the value that Rekha obtained was 4 sq cm less than the correct value, then find the minimum possible value of $d$.

In the figure, $\triangle ABC$ is equilateral with area $S$. $M$ is the mid-point of $BC$, and $P$ is a point on $AM$ extended such that $MP = BM$. If the semi-circle on $AP$ intersects $CB$ extended at $Q$, and the area of a square with $MQ$ as a side is $T$, which of the following is true?

Auto fare in Bombay is ₹2.40 for the first 1 km, ₹2.00 per km for the next 4 km, and ₹1.20 for each additional km thereafter. Find the fare in rupees for $k$ km ($k \geq 5$).

Let $S_n$ denote the sum of the squares of the first $n$ odd natural numbers. If $S_n = 533n$, find the value of $n$.

One morning, Govind Lal the owner of the local petrol bunk, was adulterating the petrol with kerosene. He had two identical tanks—the first was full of pure petrol while the second was empty. First, he transferred an arbitrary amount of petrol from the first tank into the second and then replaced the petrol removed from the first tank with kerosene. He then repeated this process one more time but this time he ensured that by the end of the process the second tank was exactly full.
Which of the following can be the concentration of petrol in the second tank?

In the figure, $O$ is the centre of the circle and $AC$ is the diameter. The line $FEG$ is tangent to the circle at $E$. If $\angle GEC = 52^\circ$, find the value of $\angle E + \angle C$.

On a plate in the shape of an equilateral triangle $ABC$ with area $16\sqrt{3}$ sq cm, a rod $GD$, of height 8 cm, is fixed vertically at the centre of the triangle. $G$ is a point on the plate. If the areas of the triangles $AGD$ and $BGD$ are both equal to $4\sqrt{19}$ sq cm, find the area of the triangle $CGD$ (in sq cm).

Mohan’s fixed commission is ₹560 per assignment. Cost = ₹$2n^2$, where $n$ = number of chairs made. If average cost per chair ≤ ₹68, then minimum and maximum values of $n$ are:

Let $ f_{n+1}(x) = f_n(x) + 1 $ if $ n $ is a multiple of 3; otherwise, $ f_{n+1}(x) = f_n(x) - 1 $.
If $ f_1(1) = 0 $, then what is $ f_{50}(1) $?

Two cars $A$ and $B$ start from two points $P$ and $Q$ respectively towards each other simultaneously. After travelling some distance, at a point $R$, car $A$ develops engine trouble. It continues to travel at $2/3$rd of its usual speed to meet car $B$ at point $S$ where $PR = QS$. If the engine trouble had occurred after car $A$ had travelled double the distance it would have met car $B$ at a point $T$ where $ST = SQ/9$. Find the ratio of speeds of $A$ and $B$.

Rajat draws a $10 \times 10$ grid with squares numbered 1 to 100. He places two identical stones on any two separate squares. How many distinct ways are possible?

For constructing the working class consumer price index number of a particular town, the following weights corresponding to different groups of items were assigned:
Food = 55, Fuel = 15, Clothing = 10, Rent = 10, Miscellaneous = 10
It is known that the rise in food prices is double that of fuel, and the rise in miscellaneous group prices is double of that in rent.
In October 2006, the increased D.A. by a factor of 1.82 (i.e., by 82%) fully compensated for the rise in prices of food and rent but did not compensate for anything else.
Another factory of the same locality increased D.A. by 46.5%, which compensated for the rise in fuel and miscellaneous groups.
Which is the correct combination of the rise in prices of food, fuel, rent, and miscellaneous groups?

A line graph on a graph sheet shows the revenue for each year from 1990 through 1998 by points and joins the successive points by straight line segments. The point for revenue of 1990 is labeled A, that for 1991 is B, and that for 1992 is C. What is the ratio of growth in revenue between 1991–92 and 1990–91? \medskip Statement I: The angle between AB and X-axis when measured with a protractor is $ 40^\circ $, and the angle between CB and x-axis is $ 80^\circ $.
Statement II: The scale of y-axis is $ 1 \text{ cm} = 1000 $.

Consider the following statements:
[I.] If $ a^x = b^x = c^x = abc $, then $ xyz = 1 $
[II.] If $ a^p = b^q = c^r $ and $ a^q b^r c^p = 1 $, then $ xyz = 1 $
[III.] If $ x^a = y^b = z^c $ and $ ab + bc + ca = 0 $, then $ xyz = 1 $

From a square piece of cardboard measuring $ 2a $ on each side, a box with no top is to be formed by cutting out from each corner a square with sides $ b $ and bending up the flaps. The value of $ b $ for which the box has the greatest volume is:

If $ r, s, t $ are consecutive odd integers with $ r<s<t $, which of the following must be true?

Geetanjali Express, which is 250 m longer when moving from Howrah to Tatanagar, crosses Subarnarekha bridge in 30 seconds. What is the speed of Geetanjali Express?
Statement I: Bombay Mail, which runs at 60 km/h, crosses the Subarnarekha bridge in 30 seconds.
Statement II: Bombay Mail, when running at 90 km/h, crosses a lamp post in 10 seconds.

A pole has to be erected on the boundary of a circular park of diameter 13 metres in such a way that the difference of its distances from two diametrically opposite fixed gates $ A $ and $ B $ on the boundary is 7 metres. The distance of the pole from one of the gates is:

For what value of $ k $ does the following pair of equations yield a unique solution for $ x $, such that the solution is positive?

$x^2 - 3y^2 = 0 $
$x^2 - 6y^2 + k = 0 $

If $ a = \log 2, b = \log 3, c = \log 4 $, then the value of $ \log(abcd) $ would be:

2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, ?

100, 50, 33.33, .............., 20

Determine the value(s) of “a” for which the point $(a, a^2)$ lies inside the triangle formed by the lines: $2x+3y=1$, $x+2y=3$ and $5x-6y=1$.

Find 12% of 5000: