List of top Quantitative Aptitude Questions

A factory produces a certain number of toys in a week using a team of 40 workers who work for 8 hours daily. Due to an increase in demand, the factory needs to double the production while maintaining the same work schedule. How many additional workers should be hired?

Bala bought 100 kg of flour and 100 kg of sugar. The flour was 25% cheaper than the sugar per kg. He mixed the entire quantity and sold the mixture at ₹275.50 per kg, making an overall profit of 50%. What is the cost price of flour per kg?

Raj invested a certain sum of money in two schemes. The first scheme offers a simple interest of 10% per annum, and the second scheme offers a simple interest of 12% per annum. If the total interest earned from both schemes after 3 years is Rs. 1980, and the ratio of the amounts invested in the two schemes is 5:4, what is the amount invested in the second scheme?

Vrushali invested Rs. (X + 3000) on compound interest of r% p.a. compounded annually for 2 years and Tarushi invested Rs. (X - 2000) on simple interest of (r - 2)% p.a. for 3 years. The total interest received by both of them is together Rs. 12360. If Anant invested Rs. (X + 8000) on simple interest for 3 years on 15% and received an interest of Rs. 13500, find the value of ‘r’.

Three circles with centers at ‘A’, ‘B’ and ‘C’ touches each other externally as shown in the figure. If AB = 16cm, BC = 8 cm and AC = 12 cm, then find the radii of all three circles.

An isosceles triangle PQR is inscribed inside a circle. If PQ = PR = \(8\sqrt5\) cm and QR = 16 cm, then find the radius of the circle.

PQR is an equilateral triangle having perimeter equal to 45 metres. If ‘O’ is the centroid of the equilateral triangle PQR, then find the length of OP

The simple interest accrued on an amount of Rs.25,000 at the end of three years is Rs.7,500. What would be the compound interest accrued on the same amount at the same rate in the same period?

A shopkeeper buys 120 red balloons, 80 blue balloons, and 100 green balloons. The cost of 5 red balloons is the same as that of 4 blue balloons or 2 green balloons. He sells all the balloons at a profit of 20% on the total cost price. If he sells 40 red balloons, 30 blue balloons, and 50 green balloons at a discount of 10% on the marked price, and the rest at the marked price, then his overall profit percentage is:

'A' and 'B' started a business by investing Rs. '10x' and Rs. '20x', respectively. Six months later, 'B' increased his investment by 25%. After 6 more months, 'A' doubled his investment and 'C' joined the business by investing Rs. 5,000. If at the end of two years, the profit share of 'A' was Rs. 2,400 out of total profit of Rs. 10,200, then find the initial investment of 'B'.

‘A’ while working 40% more efficiently can complete a piece of work in 25 days and ‘B’ while working 25% more efficiently can complete the same work in 21 days. While working with their original efficiencies ‘A’ and ‘B’ together worked for 9 days, then find the time taken by ‘A’ alone to complete the remaining work with his original efficiency.

Four persons ‘P’, ‘Q’, ‘R’ and ‘S’ has different amounts with them. ‘S’ has thrice the amount as that with ‘P’. ‘Q’ has 25% more amount than ‘S’. The amount ‘R’ has is equal to the average amount all four persons have. If the sum of the amounts ‘P’ and ‘R’ have is Rs. 4300, then find the amount ‘R’ have.

Boat 'A' takes 60 seconds to cover entire length of the river when travelling with the stream. Had the speed of the stream been double, then the boat would've saved 10 seconds to complete the same journey. Find the time taken by a hat that is floating in the river to cover the same distance, if the stream is flowing at the original speed.

Eight years hence from now, ratio of ages of ‘A’ and ‘B’ will be 10 : 9, respectively. Present age of ‘B’ is 60% more than age of ‘C’ 8 years ago from now. If ratio of present ages of ‘A’ and ‘C’ is 3:2, respectively then find the present age of ‘C’.

A tailor had a piece of cloth. He initially reduced its length by 80%. After this, he further shortened it by 90% of its new length. What was the percentage decrease in the cloth's length from the first to the second cut?

Let A be the largest positive integer that divides all the numbers of the form\( (2^{k}+3^{k}+5^{k})\) and B be the largest positive integer that divides all the numbers of the form \((3^{k}+4^{k}+5^{k}) \), where k is any positive integer. Then (A + B) equals

A fruit basket contains 80 apples, 70 oranges, and 60 bananas. Some fruits might be rotten and discarded. What is the difference between the maximum and minimum possible number of fruits that are both apples and oranges?

Consider the expression (xxx)_b = (62)_b , where b is the base and x is any digit in base b. Find the value of (b + x).

How many natural numbers, when converted to base 5 are four- digit numbers ?

How many natural numbers, when converted to base 3, are four-digit numbers, but when converted to base 4, are three-digit numbers ?

How many four-digit numbers in base 4, when converted to base 5, will have unit digit zero ?

Find the remainder when (345672) in base 9 is divided by 8.

If (x - 1)³ + (y - 2)³ + (z - 3)³ + 3(x + y - 3)(y + z - 5)(x + z - 4) = 0, then what is the value of (x + y + z) ?

What is the value of 'x' in the expression given below ?
\(\frac{x^4-16}{x^2-6x+9}\times\frac{x^3-27}{(x^2+4)(x+2)}\div\frac{x^2+3x+9}{x-3}=\frac{3}{2}\)

What is the value of \((x^4+y^4+x^2y^2)\frac{x^2-2xy+y^2}{x^2-xy+y^2}\div(x^3-y^3)\) ?