List of top Quantitative Aptitude Questions

A wooden box (open at the top) of thickness 0.5 cm, length 21 cm, width 11 cm, and height 6 cm is painted on the inside. The expenses of painting are Rs. 70. What is the rate of painting per square centimetre?
Instead of a metre scale, a cloth merchant uses a 120 cm scale while buying, but uses an 80 cm scale while selling the same cloth. If he offers a discount of 20% on cash payment, what is his overall profit percentage?
In a locality, there are five small cities: A, B, C, D, and E. The distances of these cities from each other are as follows. AB = 2 km; AC = 2 km; AD>2 km; AE>3 km; BC = 2 km; BD = 4 km; BE = 3 km; CD = 2 km; CE = 3 km; DE>3 km. If a ration shop is to be set up within 3 km of each city, how many ration shops will be required?
A cube of side 12 cm is painted red on all the faces and then cut into smaller cubes, each of side 3 cm. What is the total number of smaller cubes having none of their faces painted?
If ABCD is a square and BCE is an equilateral triangle, what is the measure of \( \angle DEC \)?
A shopkeeper allows a discount of 10% on the marked price of an article and still makes a profit of 20%. If the marked price is Rs. 200, what is the cost price?
If \( \sin \theta + \cos \theta = \sqrt{2} \), then what is the value of \( \theta \) (in degrees)?
A man invests Rs. 10,000 at 5% per annum compound interest for 3 years. What is the amount he receives at the end of 3 years?
If the roots of the equation \( x^2 - 2px + p^2 - 1 = 0 \) are real and distinct, what is the range of \( p \)?
The area of a rectangle is 63 cm², and its perimeter is 32 cm. What is the length of the rectangle?
In how many ways can 5 different books be arranged on a shelf if two particular books must be together?
A car travels from A to B at 60 km/h and returns at 40 km/h. What is the average speed for the entire journey?
If \( a, b, c \) are in geometric progression, and \( a, b, 2c \) are in arithmetic progression, then what is the common ratio of the geometric progression?
A man can row at 5 km/h in still water. If the river flows at 1 km/h and it takes him 1 hour to row to a place and return, what is the distance he rows to the place?
The sum of the first \( n \) terms of an arithmetic progression is \( 3n^2 + 5n \). What is the first term of the series?
A and B run a 1 km race. If A gives B a start of 50 m and still beats him by 15 seconds, and if A gives B a start of 70 m and beats him by 10 seconds, find the time taken by A to run 1 km.
The cost of a pair of shoes varies directly as the square of its size. If a pair of size 5 costs Rs. 500, what is the cost of a pair of size 7?
If \( \log_3 2, \log_3 (2^x - 5), \log_3 (2^x - 7/2) \) are in arithmetic progression, then what is the value of \( x \)?
A person buys 12 articles for Rs. 12 and sells them at Rs. 12 for 10 articles. What is the profit percentage?
The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages was 124. What are their current ages?
A shopkeeper sells a product at a 20% profit. If he buys it at 20% less cost and sells it for Rs. 10 less, he earns a 25% profit. What is the original cost price?
In a triangle ABC, the lengths of the sides AB and AC are 17.5 cm and 9 cm respectively. Let D be a point on AB such that AD = 7 cm. What is the length of CD?
A cube of side 4 cm is painted on all its faces. If it is sliced into 1 cm cubes, how many 1 cm cubes will have exactly one face painted?
The average price of 10 books is Rs. 12 while the average price of 8 of these books is Rs. 11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?
A and B can complete a task in 12 days, B and C in 15 days, A and C in 20 days. How many days will A alone take?