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Quantitative Aptitude
List of top Quantitative Aptitude Questions
The digit at the unit place of P would be: Given, P=(6+1) (6
2
+1) (6
3
+1) ......... (6100+1)
CAT
Quantitative Aptitude
Linear Equations
If f(x)=x-5, and f
2
(x)=f(f(x)), f
3
(x)=f(f(f(x))) and so on, then find the value of f
8
(9).
CAT
Quantitative Aptitude
Algebra
If x and y are integers and – 5 ≤ x ≤ 6 and 4 ≤ y ≤ 9, then the minimum value of
\(\frac{2x-y}{x} \)
is____.
CAT
Quantitative Aptitude
Algebra
Nitish booked movie tickets online which collects the same internet handling charges for normal movies and 3D movies, whereas the cost price of each normal movie ticket is 80% of the 3D movie ticket. Nitish paid Rs. 1030 for two 3D movie tickets and 3 normal tickets and Rs. 610 for one 3D movie ticket and 2 normal tickets. Find the internet handling charges per ticket.
CAT
Quantitative Aptitude
Algebra
Nitin raised a fund for the national environmental day. The amount (in thousands) on any given day after the start of fundraising event is given by a quadratic function f(x) = ax
2
+ bx + c , where f(x) is the money in thousand and x is the given day. If the amount collected on the first 3 days is 9, 10, and 13, then find the amount raised on the 10
th
day.
CAT
Quantitative Aptitude
Algebra
α and β are the roots of the equation x
2
+9x+18=0, where α>β. Then for the equation x
2
-ax+b=0 with its roots as (α+β) and (-3α), find the value of (a+b).
CAT
Quantitative Aptitude
Algebra
Find the range of x that satisfies the equation: || 3x-6| +4|<10.
CAT
Quantitative Aptitude
Algebra
An overhead water tank of 7200 m
3
capacity is being filled with water. The delivery of the pump filling the tank is 5/6
th
of the delivery of the pump discharging the same tank. As a result, 24 minutes more is needed to fill the tank than discharge it. Determine the delivery of the pump in filling the tank.
CAT
Quantitative Aptitude
Time and Work
A bag contains some red, some green and 9 blue balls. Ratio of number of red to green ball in the bag is 5:4. If the probability of drawing a red ball is
\(\frac{1}{6}\)
more than that of drawing a blue ball then find the probability of getting three different coloured ball when three balls are drawn from the bag one after another and without replacement.
CAT
Quantitative Aptitude
Probability
The average weight of ‘b’ boys in a group is 63 kg. A boy whose weight is 147 kg joins the group such that the average weight of the group becomes a prime number in between 65 and 91. Find the value of ‘b+1’.
CAT
Quantitative Aptitude
Average
The LCM and product of two numbers X and Y are 180 and 2700, respectively. If X is completely divisible by Y, then the value of (X-Y) is _____.
CAT
Quantitative Aptitude
Number Systems
Let X=11×12×13×_____×75. Suppose ‘X’ is divisible by 10
2k
(where ‘k’ is a natural no.). Find the maximum value of ‘k’.
CAT
Quantitative Aptitude
Number Systems
A rectangular sheet of metal is rolled along its length to form a cylinder of volume 269500 cm3and lateral surface area 15400 cm2. If the sheet would have been cut in two halves vertically dividing its length in 2:3 ratio and then these parts are rolled into two cylinders along their lengths, then find the sum of volume of both the cylinders formed and also find the difference between area of both parts of sheet when cut.
CAT
Quantitative Aptitude
Mensuration
All the vertices of a rhombus lie on a circle of radius R. If the length of one diagonal of the rhombus is D, then the area of the rhombus is:
CAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
At what exact time between 3:00 PM and 4:00 PM do the hour and minute hands of a standard clock coincide?
CAT
Quantitative Aptitude
Time and Work
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?
CAT
Quantitative Aptitude
Profit and Loss
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?
CAT
Quantitative Aptitude
SI & CI
A sum of money is divided among A, B, and C in the ratio 3:5:7 respectively. If B gets Rs. 300 more than A, then the total amount of money is:
CAT
Quantitative Aptitude
Ratio and Proportion
A chemist has two solutions, A and B. Solution A is 30% acid and the rest water, while solution B is 60% acid and the rest water. If equal amounts of solutions A and B are mixed to form a new solution C, what is the percentage of acid in solution C?
CAT
Quantitative Aptitude
Ratio and Proportion
A group of friends decided to share the cost of a gift equally. If each person contributed Rs. 50, the amount would have been short by Rs. 20. However, if each person contributed Rs. 60, they would have Rs. 30 more than the required amount. What is the price of the gift?
CAT
Quantitative Aptitude
Ratio and Proportion
A circle is inscribed in a square of side 10 cm. Find the area of the region between the square and the circle.
CAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
A triangular garden has its corners at points A(2, 3), B(5, 7), and C(1, 6) on a coordinate plane. If a fourth point D is added to form a parallelogram ABCD, what are the coordinates of point D?
CAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
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?
CAT
Quantitative Aptitude
Time and Work
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’.
CAT
Quantitative Aptitude
SI & CI
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.
CAT
Quantitative Aptitude
Mensuration
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