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Quantitative Aptitude
List of top Quantitative Aptitude Questions
Solve the following:-
\([(156)^2 ÷ 8 × 36] ÷ ? = 117 × 24\)
NMAT
Quantitative Aptitude
Equations
A dishonest dealer claims to sell his goods at 20% discount, but uses a weight of 800 grams for weighing 1 kilogram of goods. What is the profit or loss being made by the dealer?
Quantitative Aptitude
Commercial Maths
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 group of 100 people, 70 like coffee, 60 like tea, and 45 like both coffee and tea. How many people like neither coffee nor tea?
CAT
Quantitative Aptitude
Ratio and Proportion
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 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
Find the value of:
\( \frac{x^4-81}{ 2x2+13x+15 }\times\frac{2x+3}{x^3+27}\times\frac{[(x-3)^2+3x](x+5)}{(x+3)^2-6x}\)
CAT
Quantitative Aptitude
Number Systems
If (3x-
\(\frac{1}{3x}\)
)=4, , then what is the value of (27x
3
-
\(\frac{1}{27x^3}\)
) ?
CAT
Quantitative Aptitude
Number Systems
If x
2
-4x+3=0, then what is the value of (x
3
+4x
2
+7x+24)(x
2
+2x+3)
-1
?
CAT
Quantitative Aptitude
Number Systems
If
\(\frac{5(4x^2+1)-3x}{4x}=8\)
and x ≠ 0, then what is the value of
\((√2x-\frac{1}{√2x}) \)
?
CAT
Quantitative Aptitude
Number Systems
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
If
\(A=\frac{x^2-y^2}{x^2-y^2}\)
,
\(B=\frac{x+y}{x^2+y^2+xy}\)
and
\(C=\frac{ 3xy^2-3x^2y}{x^2-y^2}\)
, then find the value of AB (A+C)
CAT
Quantitative Aptitude
Number Systems
If=
\(\frac{2x^2+x-6}{(x+2)^2-(x-2)^2}\)
, Q=
\(\frac{x^2+3x+9}{(2x-3)(x^2-4)}\)
and
\(R=\frac{x^2-27}{x^4-4}\)
, then find the value of PXQ÷R
CAT
Quantitative Aptitude
Number Systems
What is the minimum value of (a + b) such that 4a x 5b will be a multiple of 5000?
CAT
Quantitative Aptitude
Number Systems
If
\(N = 2^5 \times 3^4 \times 5^5 \times 11^2\)
, then how many factors of N are multiples of 66 but not of 72?
CAT
Quantitative Aptitude
Number Systems
How many numbers between 90 and 600 have exactly three factors?
CAT
Quantitative Aptitude
Number Systems
How many odd factors of the number 45
6
x 56
5
x 77
6
are multiples of 63?
CAT
Quantitative Aptitude
Number Systems
How many factors of N=2
6
x 3
8
x 5
10
x 7
12
are perfect squares as well as perfect cubes?
CAT
Quantitative Aptitude
Number Systems
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
PQRS is a rhombus such that length of its each side is 30 cm. If PR=36 cm and QS=
\(4\sqrt{x}\)
cm then the length of each side of the rhombus (in terms of ‘x’) is:
CAT
Quantitative Aptitude
Geometry
In the given figure, ‘O’ is the centre of the semi-circle and ∠MON =48°, Find ∠MRP.
CAT
Quantitative Aptitude
Geometry
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
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