List of top Quantitative Aptitude Questions

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a perfect square number is:
Two coins are tossed simultaneously. The probability of getting at the most one head is:
A bag contains 19 red balls, 37 blue balls and 27 green balls. If a ball is picked up from this bag at random, what is the probability of picking a blue ball?
A flag pole 18 m high casts a shadow 9.6 m long. What is the distance of the top of the pole from the far end of the shadow?
A cylindrical tennis ball container can contain maximum three balls stacked on one another. The top and bottom balls also touch the lid and the base of the container respectively. If the volume of a tennis ball is \( 240 \text{ cm}^3 \), then what is the volume of the container?
A customized jewellery was sold at Rs 1000 with 90% discount on the ‘making charges’. If the payment made for making charges was Rs 100, what is the approximate} rate of discount on the product?
A man walks from his house to the Railway station to catch a train, which is running as per schedule. If he walks at 6 km/hr, he misses the train by 9 minutes. However, if he walks at 7 km/hr, he reaches the station 6 minutes before the departure of train. The distance of his home to the Railway Station is:
Ms. Jhulan Goswami scores 102 runs in the 18th innings of her career and thus increases her average by 5. After the 18th inning, her average is:
In a staff room of 25 teachers, 13 drink black coffee, 7 milk coffee, 9 drink both tea and either type of coffee, and everyone drinks either of the beverages. How many teachers drink only tea?
During the academic session 2009-10, in Banaras Hindu University, Varanasi, the number of students studying Arts, Law and Commerce was in the ratio of 5:6:7. If during the academic session 2010-11 the number of students studying Arts, Law and Commerce increased by 20%, 30% and 40% respectively, what will be new ratio?
Akbar will turn 50 when his son Jehangir turns 18. What will be Akbar’s age when it will be exactly 5 times that of Jehangir?
Arun can climb a Coconut tree by 1.5 feet by each lift; however, he slips 0.5 feet every time he makes the next lift. How many individual lifts will he have to reach the top of the Coconut tree of 18.5 feet?
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?
The ratio of two numbers is 4:5. But, if each number is increased by 20, the ratio becomes 6:7. The sum of such numbers is:
Let \( S \) denote the infinite sum: \[ S = 2 + 5x + 9x^2 + 14x^3 + 20x^4 + \ldots \quad \text{where } |x|<1 \] and the coefficient of \( x^n \) is \( \frac{1}{2}n(n+3) \). Then \( S \) equals:
In an examination, the average marks obtained by students who passed was \( x\% \), while the average of those who failed was \( y\% \). The average marks of all students taking the exam was \( z\% \). Find in terms of \( x, y, z \), the percentage of students taking the exam who failed.
The sum of the areas of two circles which touch each other externally is \( 153\pi \). If the sum of their radii is 15, find the ratio of the larger to the smaller radius.
The sum of prime numbers that are greater than 60, but less than 70 is:
In a Retail outlet the average revenue was Rs. 10,000 per day over a 30 day period. During this period the average daily revenue on weekends (total 8 days) was Rs. 20,000 per day. What was the average daily revenue on weekdays?
What is the number that is one half of one quarter of one tenth of 400?
66 cubic centimetres of silver is drawn into a wire of 1 mm diameter. The length of the wire in metres will be:
The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 22. What is the original number?
A placement company has to assign 1000 software professionals skilled in Java and .Net to a prospective outsourcing company. It finds that 750 have .Net skills and 450 have Java skills, with some professionals skilled in both. Find the number of professionals who have skills in both Java and .Net.
A swimming pool can be filled by pipe A in 3 hours and by pipe B in 6 hours, each pump working on its own. At 9 am, pump A is started. At what time will the swimming pool be filled if pump B is started at 10 am?
If for a particular value of the variable \(x\), the following holds true: \(17 = \dfrac{17x}{1-x}\), then find the value of \(x^{2x}\).