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Quantitative Aptitude
List of top Quantitative Aptitude Questions
Mr X. and Mr Y. are removing cartons from a truck.X removes one fourth of the number of cartons from the truck,and Y removes one fifth of the number of cartons left in the truck.How many cartons were originally in the truck?
Quantitative Aptitude
Number Systems
The age of a cricket team members has been listed below.Find the median age of the team 27,32,25,26,31,37,22,29,24,25,36
Quantitative Aptitude
Mean, median, mode and standard deviation
Which one of the following is not a prime number?
Quantitative Aptitude
Number Systems
A school has less than 5000 students and if the students are divided equally into teams of either 9 or 10 or 12 or 25 each, exactly 4 are always left out. However, if they are divided into teams of 11 each, no one is left out. The maximum number of teams of 12 each that can be formed out of the students in the school is
CAT
Quantitative Aptitude
Divisibility and Remainder
In a triangle ABC,AB=AC=8cm. A circle drawn with BC as diameter passes through A. Another circle drawn with center at A passes through B and C. Then the area,in sq.cm,of the overlapping region between the two circles is
CAT
Quantitative Aptitude
Mensuration
In a library, the ratio of fiction books to non-fiction books is 7:5. The ratio of English fiction books to Hindi fiction books is 2:3. If there are 420 English fiction books, find the total number of non-fiction books in the library.
CAT
Quantitative Aptitude
Ratio and Proportion
For any natural number n, suppose the sum of the first n terms of an arithmetic progression is n(n+1). If the nth term of the progression is divisible by 7, then the smallest possible value of n is:
CAT
Quantitative Aptitude
Number Systems
The average weight of a group of people increases by 2 kg when a person weighing 65 kg joins them. If the initial average weight of the group was 55 kg, find the ratio of the number of people initially in the group to the total number of people in the new group.
CAT
Quantitative Aptitude
Average
Two buses start simultaneously from the same place towards a destination which is 180 km away. The first bus travels at a speed of 40 km/h and the second bus travels at a speed of 60 km/h. The second bus reaches the destination, waits for some time and returns back. If the buses cross each other 90 km away from the starting point, then for how long did the second bus wait at the destination?
CAT
Quantitative Aptitude
Time, Speed and Distance
In triangle ABC, ‘D’ and ‘E’ are two points on sides AB and AC, respectively such that DE is parallel to BC. If AD=16 cm, BD=(5x-16) cm, AE=2x cm and EC=(25-2x) cm, then find the value of ‘x’.
CAT
Quantitative Aptitude
Geometry
Is
\( (\sqrt{x}-\frac{1}{\sqrt{x}})=\sqrt{-5}\)
and x≠ 0, then what is the value of
\(\frac{3(x^2+3)-6-3x}{4x}\)
?
CAT
Quantitative Aptitude
Number Systems
In the given figure, ‘O’ is the centre of the semi-circle and ∠MON =48°, Find ∠MRP.
CAT
Quantitative Aptitude
Geometry
How many numbers between 90 and 600 have exactly three factors?
CAT
Quantitative Aptitude
Number Systems
P and Q start a business with initial investment Rs.5000 and Rs.4000 respectively. After ’t’ years Q adds 25% of what he invested initially and another person R joins the business with them with initial investment Rs.7000 and after 5years from the start of the business P adds Rs.1000 more to his capital. If at the end of 8 years total profit from the business is Rs.11900 while share of Q is Rs.3750, what is the share of R in the profit.
CAT
Quantitative Aptitude
Partnership
If the LCM of three natural numbers 24
12
, 18
16
and a is 36
18
, then how many values of a are possible?
CAT
Quantitative Aptitude
LCM and HCF
In a ∆PQR, internal angle bisectors of ∠Q and ∠R meet at I while external angle bisectors of ∠Q and ∠R meet at X. If ∠P = 54°, then find the measures of ∠QIR and ∠QXR, respectively.
CAT
Quantitative Aptitude
Triangles
Find the value of
\(36(\frac{a}{2}+\frac{b}{6}+\frac{c}{3})^2\)
CAT
Quantitative Aptitude
Basic Algebra
If (Ax + By - Cz)
2
= 4x
2
+ 3y
2
+ 2z
2
+
\(4\sqrt{3xy} \)
-
\( 2\sqrt{6yz}\)
- 4√2xz, then find the value of A2+ B2C2.
CAT
Quantitative Aptitude
Polynomials
If log
8
9, log
8
(2y+7) and log
8
(3y+6) are in arithmetic progression with non-zero common difference, find the value of y.
CAT
Quantitative Aptitude
Arithmetic Progression
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
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
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 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
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?
CAT
Quantitative Aptitude
Simple and Compound Both
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:
CAT
Quantitative Aptitude
Profit and Loss
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