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Quantitative Aptitude
List of top Quantitative Aptitude Questions
Let the m-th and n-th terms of a geometric progression be
\(\frac{3}{4}\)
and
\(12\)
, respectively, where m<n. If the common ratio of the progression is an integer r, then the smallest possible value of r + n - m is
CAT - 2020
CAT
Quantitative Aptitude
Arithmetic and Geometric Progressions
If
\(y\)
is a negative number such that
\(2^{y^2log_35 }\)
=
\(5^{log_23}\)
, then
\(y\)
equals
CAT - 2020
CAT
Quantitative Aptitude
Logarithms
How many distinct positive integer-valued solutions exist to the equation
\((x^2-7x+11)^{(x^2-13x+42)}=1\)
?
CAT - 2020
CAT
Quantitative Aptitude
Basics of Numbers
How many 3-digit numbers are there, for which the product of their digits is more than 2 but less than 7? [This Question was asked as TITA]
CAT - 2020
CAT
Quantitative Aptitude
Number Systems
If
\(log_45=(log_4y)(log_6\sqrt5)\)
,then
\(y\)
equals
[This Question was asked as TITA]
CAT - 2020
CAT
Quantitative Aptitude
Logarithms
Aron bought some pencils and sharpeners. Spending the same amount of money as Aron, Aditya bought twice as many pencils and 10 less sharpeners. If the cost of one sharpener is ₹ 2 more than the cost of a pencil, then the minimum possible number of pencils bought by Aron and Aditya together is
CAT - 2020
CAT
Quantitative Aptitude
Maxima and Minima
The area of the region satisfying the inequalities
\(|x|-y≤1,y≥0\)
and
\(y≤1\)
is [This Question was asked as TITA]
CAT - 2020
CAT
Quantitative Aptitude
Geometry
Let
\(N\)
,
\(x\)
and
\(y\)
be positive integers such that
\(N=x+y\)
,
\(2<x<10\)
and
\(14<y<23\)
. If
\(N>25\)
, then how many distinct values are possible for
\(N\)
? [This Question was asked as TITA]
CAT - 2020
CAT
Quantitative Aptitude
Number Systems
If
\(a, b, c\)
are non-zero and
\(14^a = 36^b = 84^c\)
, then
\(6b \bigg(\frac{1}{c}-\frac{1}{a}\bigg)\)
is equal to [This Question was asked as TITA]
CAT - 2020
CAT
Quantitative Aptitude
Number Systems
In a trapezium ABCD, AB is parallel to DC, BC is perpendicular to DC and
\(∠BAD=45°\)
. If DC=5cm , BC=4 cm, the area of the trapezium in sq cm is ? [This Question was asked as TITA]
CAT - 2020
CAT
Quantitative Aptitude
Mensuration
Dick is thrice as old as Tom and Harry is twice as old as Dick. If Dick's age is 1 year less than the average age of all three, then Harry's age, in years, is [This Question was asked as TITA]
CAT - 2020
CAT
Quantitative Aptitude
distance
A person invested a certain amount of money at 10% annual interest, compounded half-yearly. After one and a half years, the interest and principal together became Rs 18522. The amount, in rupees, that the person had invested is [This Question was asked as TITA]
CAT - 2020
CAT
Quantitative Aptitude
SI & CI
How many integers in the set {100, 101, 102, ..., 999} have at least one digit repeated?
[This Question was asked as TITA]
CAT - 2020
CAT
Quantitative Aptitude
Number Systems
Direction: In the figure given below, a goat is tied to a pole (at point O) which is the center of the semi -circular plot. The area of the plot is equal to its perimeter. BO is the length of the rope through which the goat is tied to the pole. Answer to the closest decimal.
CLAT - 2020
CLAT
Quantitative Aptitude
Mensuration
A room having the dimensions as mentioned in the chart below has a table, a bed and a chair. There are three books kept on the table (side by side) and also a lamp having radius, 3.5 inch. Now, on the basis of information given below answer the following?
CLAT - 2020
CLAT
Quantitative Aptitude
Mensuration
The following data presents the cases of Japanese Encephalitis in five states of India
CLAT - 2020
CLAT
Quantitative Aptitude
Percentage
Let
\(C_1\)
and
\(C_2\)
be concentric circles such that the diameter of
\(C_1\)
is 2 cm longer than that of
\(C_2\)
. If a chord of
\(C_1\)
has length 6 cm and is a tangent to
\(C_2\)
, then the diameter, in cm, of
\(C_1\)
is
[This Question was asked as TITA]
CAT - 2020
CAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
Veeru invested Rs 10000 at 5% simple annual interest, and exactly after two years, Joy invested Rs 8000 at 10% simple annual interest. How many years after Veeru’s investment, will their balances, i.e., principal plus accumulated interest, be equal?
CAT - 2020
CAT
Quantitative Aptitude
SI & CI
For the same principal amount, the compound interest for two years at 5% per annum exceeds the simple interest for three years at 3% per annum by Rs 1125. Then the principal amount in rupees is ?
[This Question was asked as TITA]
CAT - 2020
CAT
Quantitative Aptitude
Compound Interest
Dick is thrice as old as Tom and Harry is twice as old as Dick. If Dick's age is 1 year less than the average age of all three, then Harry's age, in years, is
CAT - 2020
CAT
Quantitative Aptitude
distance
If x and y are non-negative integers such that
\(x + 9 = z, y + 1 = z\)
and
\(x + y < z + 5\)
, then the maximum possible value of
\(2x + y\)
equals
CAT - 2020
CAT
Quantitative Aptitude
Number Systems
If
\(x\)
and
\(y\)
are positive real numbers satisfying
\(x+y=102\)
, then the minimum possible value of
\(2601\bigg(1+\frac{1}{x}\bigg)\bigg(1+\frac{1}{y}\bigg) \)
is
CAT - 2020
CAT
Quantitative Aptitude
Number Systems
How many 4-digit numbers, each greater than 1000 and each having all four digits distinct, are there with 7 coming before 3
CAT - 2020
CAT
Quantitative Aptitude
Number Systems
How many integers in the set {100, 101, 102, ..., 999} have at least one digit repeated?
CAT - 2020
CAT
Quantitative Aptitude
Number Systems
The number of distinct real roots of the equation
\(\bigg(\frac{x+1}{x}\bigg)^2-3\bigg(\frac{x+1}{x}\bigg)+2=0\)
equals
CAT - 2020
CAT
Quantitative Aptitude
Square and Square Roots
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