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Quantitative Aptitude
List of top Quantitative Aptitude Questions
The equation
\(x^3+(2r+1)x^2+(4r-1)x+2=0\)
has -2 as one of the roots. If the other two roots are real, then the minimum possible non-negative integer value of
\(r\)
is
CAT - 2023
CAT
Quantitative Aptitude
Linear & Quadratic Equations
If
\(x\)
and
\(y\)
are positive real numbers such that
\(log_x(x^2+12)=4\)
and
\(3\;log_yx=1\)
,then
\(x+y\)
equals
CAT - 2023
CAT
Quantitative Aptitude
Logarithms
The number of integer solutions of equation
\(2|x|(x^2+1)=5x^2\)
is
CAT - 2023
CAT
Quantitative Aptitude
Number of integer solutions
In a company, 20% of the employees work in the manufacturing department. If the total salary obtained by all the manufacturing employees is one-sixth of the total salary obtained by all the employees in the company, then the ratio of the average salary obtained by the manufacturing employees to the average salary obtained by the non-manufacturing employees is
CAT - 2023
CAT
Quantitative Aptitude
Ratio and Proportion
Let
\(\alpha\)
and
\(\beta\)
be the two distinct roots of the equation of 2x
2
-6x+k=0, such that (
\(\alpha+\beta\)
) and
\(\alpha\beta\)
are the distinct roots of the equation x
2
+px+p=0, then, the value of 8(k-p) ?
CAT - 2023
CAT
Quantitative Aptitude
Linear & Quadratic Equations
Let both the series
\(a_1,a_2,a_3,....\)
and
\(b_1,b_2,b_3,....\)
be in arithmetic progression such that the common differences of both the series are prime numbers. If
\(a_5=b_9,a_{19}=b_{19}\)
and
\(b_2=0\)
, then
\(a_{11}\)
equals
CAT - 2023
CAT
Quantitative Aptitude
Arithmetic Progression
Suppose
\(f(x,y)\)
is a real-valued function such that
\(f(3x+2y,2x-5y)=19x\)
, for all real numbers
\(x\)
and
\(y\)
. The value of x for which
\(f(x,2x) = 27\)
, is
CAT - 2023
CAT
Quantitative Aptitude
Functions
The sum of the first two natural numbers, each having 15 factors (including 1 and the number itself), is
CAT - 2023
CAT
Quantitative Aptitude
Number Systems
For some positive real number
\(x\)
, if
\(log_{\sqrt 3}(x)+\frac{log_x(25)}{log_x(0.008)}=\frac{16}{3}\)
, then the value of
\(log_3(3x^2)\)
is
CAT - 2023
CAT
Quantitative Aptitude
Logarithms
Anil borrows Rs 2 lakhs at an interest rate of 8% per annum, compounded half-yearly. He repays Rs 10320 at the end of the first year and closes the loan by paying the outstanding amount at the end of the third year. Then, the total interest, in rupees, paid over the three years is nearest to
CAT - 2023
CAT
Quantitative Aptitude
SI & CI
Average of 5 integers is 38 and all the numbers are between 0 and 50 (both inclusive). In these 5 numbers, a is the minimum. If exactly 3 of them are more than 32, find the difference between the minimum and the maximum value of a.
CAT - 2023
CAT
Quantitative Aptitude
Averages
A sum of money lent on compound interest amounts to ₹968 in 2 years at 10% per annum interest compounded annually. find the sum.
CUET (PG) - 2023
CUET (PG)
Quantitative Aptitude
Compound Interest
In 2021, the population was 100000. In 2022 it is decreased by x%. In 2023, it will increase by y%. The population in 2023 is more than that of 2021 and difference between x and y is 10. Minimum population in 2021 was?
CAT - 2023
CAT
Quantitative Aptitude
Averages
Calculate the annual income derived from Rs 1000, 10 percent stock at 10
KMAT KERALA - 2023
KMAT KERALA
Quantitative Aptitude
Stocks and Shares
A basket contains 2 green, 3 yellow, 4 blue and 6 violet balls. If the two balls are drawn at random from the basket, what is the probability that both are violet?
KMAT KERALA - 2023
KMAT KERALA
Quantitative Aptitude
Probability
What is the speed of the boat in still water?
I. The boat running downstream takes 8 hours from P to Q
II. The boat running upstream takes 10 hours from Q to S.
The necessary statements to answer the question is/are
KMAT KERALA - 2023
KMAT KERALA
Quantitative Aptitude
Boat and Stream
Maran was running from his college to the hostel and back again. How long did it take him to cover the entire distance from college to hostel then hostel to college?
I. Maran was running from the college to hostel at the speed of 5 km/hr
II. Maran was running from hostel to college at the speed of 8 km/hr
Necessary statements to answer the question is/are
KMAT KERALA - 2023
KMAT KERALA
Quantitative Aptitude
Time, Speed and Distance
Mr Amrith purchased a furniture for 3000 rupees and sold it on the same day for 3600 rupees, allowing the buyer a credit of 2 years. If the rate of interest be 10 percent per annum, then Mr Amrith has a gain of…………
KMAT KERALA - 2023
KMAT KERALA
Quantitative Aptitude
Profit and Loss
Directions: Study the following question and all the three statements given to decide whether any information provided in the statement(s) are/is redundant and can be dispensed with while answering the question.
In how many days can the work be completed by P, Q, R together?
I. P&Q together can complete the work in four days
II. Q&R together can complete the work in eight days.
III. P&R can complete the work in twelve days.
KMAT KERALA - 2023
KMAT KERALA
Quantitative Aptitude
Time and Work
An accurate clock shows 7’O clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 1’O clock in the afternoon.
KMAT KERALA - 2023
KMAT KERALA
Quantitative Aptitude
Clock and Calendar
An accurate clock shows the time as 4.00 PM. After the hour hand moved 135 degree, the time would be……………
KMAT KERALA - 2023
KMAT KERALA
Quantitative Aptitude
Clock and Calendar
Find the income derived from 100 shares of Rs 25 each at 5 premium, brokerage being ½ per share and the rate of dividend being
\(7\frac{1}{2}\)
per annum.
KMAT KERALA - 2023
KMAT KERALA
Quantitative Aptitude
Stocks and Shares
What was the day of the week on 15th August, 1947?
KMAT KERALA - 2023
KMAT KERALA
Quantitative Aptitude
Clock and Calendar
How many times do the hands of a clock coincide in every 12 hours?
KMAT KERALA - 2023
KMAT KERALA
Quantitative Aptitude
Clock and Calendar
What would be the Compound Interest accrued on an amount of rupees 10000 at the rate of 7 percent per annum in five years?
KMAT KERALA - 2023
KMAT KERALA
Quantitative Aptitude
SI & CI
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