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Quantitative Aptitude
List of top Quantitative Aptitude Questions
\(\frac{2×4×8×16}{(log_24)^2(log_48)^3(log_816)^4}\)
equals [This Question was asked as TITA]
CAT - 2020
CAT
Quantitative Aptitude
Logarithms
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
\(N\)
?
CAT - 2020
CAT
Quantitative Aptitude
Number System
How many integers in the set {100, 101, 102, ..., 999} have at least one digit repeated?
CAT - 2020
CAT
Quantitative Aptitude
Permutation & Combination
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
CAT - 2020
CAT
Quantitative Aptitude
Interest (SI & CI)
A contractor agreed to construct a 6 km road in 200 days. He employed 140 persons for the work. After 60 days, he realized that only 1.5 km road has been completed. How many additional people would he need to employ in order to finish the work exactly on time?
CAT - 2020
CAT
Quantitative Aptitude
Time & Work
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
CAT - 2020
CAT
Quantitative Aptitude
Logarithms
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
Linear & Quadratic Equations
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
CAT - 2020
CAT
Quantitative Aptitude
Interest (SI & CI)
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
CAT - 2020
CAT
Quantitative Aptitude
Geometry
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 System
The number of pairs of integers
\((x , y)\)
satisfying
\(x|\geq y\geq-20\)
and
\(2x+5y=99\)
is
CAT - 2020
CAT
Quantitative Aptitude
Linear & Quadratic Equations
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
Permutation & Combination
A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If the difference between the largest and the smallest of these three shares is Rs 400, then Sunil’s share, in rupees, is
CAT - 2020
CAT
Quantitative Aptitude
Ratio & Proportion
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
Inequalities & Modulus
John takes twice as much time as Jack to finish a job. Jack and Jim together take one-thirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone?
CAT - 2020
CAT
Quantitative Aptitude
Time & Work
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
Linear & Quadratic Equations
A solution, of volume 40 litres, has dye and water in the proportion 2 : 3. Water is added to the solution to change this proportion to 2 : 5. If one-fourths of this diluted solution is taken out, how many litres of dye must be added to the remaining solution to bring the proportion back to 2 : 3?
CAT - 2020
CAT
Quantitative Aptitude
Mixtures & Alligations
A gentleman decided to treat a few children in the following manner. He gives half of his total stock of toffees and one extra to the first child, and then the half of the remaining stock along with one extra to the second and continues giving away in this fashion. His total stock exhausts after he takes care of 5 children. How many toffees were there in his stock initially?
CAT - 2020
CAT
Quantitative Aptitude
Number System
The area of the region satisfying the inequalities
\(|x|-y≤1,y≥0\)
and
\(y≤1\)
is
CAT - 2020
CAT
Quantitative Aptitude
Coordinate Geometry
A person spent Rs 50000 to purchase a desktop computer and a laptop computer. He sold the desktop at 20% profit and the laptop at 10% loss. If overall he made a 2% profit then the purchase price, in rupees, of the desktop is
CAT - 2020
CAT
Quantitative Aptitude
Profit & Loss
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
Interest (SI & CI)
How many 3-digit numbers are there, for which the product of their digits is more than 2 but less than 7?
CAT - 2020
CAT
Quantitative Aptitude
Permutation & Combination
The sum of the first 15 terms of the series
\[ \frac{1}{24} + \frac{1}{104} + \frac{1}{234} + \dots = \frac{a}{b}, \text{ where HCF}(a,b) = 1. \text{ What is the difference between } a \text{ and } b? \]
NPAT - 2020
NPAT
Quantitative Aptitude
Averages
The marks obtained by seven students in a test are: 36, 46, 70, 60, 20, 18, 30. What is the mean deviation of the data from the mean?
NPAT - 2020
NPAT
Quantitative Aptitude
Statistics
Shikha sells an article for ₹253, after giving 12% discount on its marked price. Had she not given any discount, she would have earned a profit of 25% on the cost price. What is the cost price of the article?
NPAT - 2020
NPAT
Quantitative Aptitude
Profit & Loss
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