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Quantitative Aptitude
List of top Quantitative Aptitude Questions
There are three persons A B, and C in a room. If a person D joins the room, the average weight of the persons in the room reduces by x kg . Instead of D , if person E joins the room, the average weight of the persons in the room increases by 2 kg x . If the weight of E is 12 kg more than that of D , then the value of x is
CAT - 2023
CAT
Quantitative Aptitude
Average
Gautam and Suhani, working together, can finish a job in 20 days. If Gautam does only 60% of his usual work on a day, Suhani must do 150% of her usual work on that day to exactly make up for it. Then, the number of days required by the faster worker to complete the job working alone is
CAT - 2023
CAT
Quantitative Aptitude
Time and Work
Let
\(a_n=46+8n\)
and
\(b_n=98+4n\)
be two sequences for natural numbers
\(n ≤ 100\)
. Then, the sum of all terms common to both the sequences is
CAT - 2023
CAT
Quantitative Aptitude
Number Systems
A quadrilateral
\(ABCD\)
is inscribed in a circle such that
\(AB :CD\)
=
\(2:1\)
and
\(BC:AD = 5: 4\)
. If
\(AC\)
and
\(BD\)
intersect at the point
\(E\)
,then
\(AE:CE\)
equals
CAT - 2023
CAT
Quantitative Aptitude
Quadrilaterals
A lab experiment measures the number of organisms at 8 am every day. Starting with 2 organisms on the first day, the number of organisms on any day is equal to 3 more than twice the number on the previous day. If the number of organisms on the nth day exceeds one million, then the lowest possible value of n is
CAT - 2023
CAT
Quantitative Aptitude
Linear & Quadratic Equations
The number of integer solutions of equation
\(2|x|(x^2+1)=5x^2\)
is
CAT - 2023
CAT
Quantitative Aptitude
Number of integer solutions
Let
\(n\)
be the least positive integer such that
\(168\)
is a factor of
\(1134^n\)
. If
\(m\)
is the least positive integer such that
\(1134^n\)
is a factor of
\(168^m\)
, then
\(m+ n \)
equals
CAT - 2023
CAT
Quantitative Aptitude
Divisibility and Factors
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
The minor angle between hours hand and minutes hand of a clock was observed at 8:48 am. The minimum deviation (in min) after 8:48 am on when angle increased by 50% is?
CAT - 2023
CAT
Quantitative Aptitude
Congruence of Triangles
Geeta sells A
\(→\)
20% (Profit) and B
\(→\)
10% (Loss) at the same sp. If she increases SP such that A and B still sold at an equal price and profit of 10% made on B, then profit made on A will be?
CAT - 2023
CAT
Quantitative Aptitude
Profit and Loss
Brishti went on a 8-hour trip in a car, before the trip the car had traveled a total of x kms till then, where x is a whole number and is palindromic, At the end of his trip the car had had traveled a total of 26862 km. If Bristi never drove at more than 110 km/h, then the greatest possible average speed at which see dove is?
CAT - 2023
CAT
Quantitative Aptitude
Time, Speed and Distance
The salaries of three friends Sita, Gita and Mita are initially in the ratio 5:6:7 respectively. In the first year, they get salary hikes of 20%, 25% and 20% , respectively. In the second year, Sita and Mita get salary hikes of 40% and 25% , respectively, and the salary of Gita becomes equal to the mean salary of the three friends. The salary hike of Gita in the second year is
CAT - 2023
CAT
Quantitative Aptitude
Percentages
The number of all natural numbers up to 1000 with non-repeating digits is
CAT - 2023
CAT
Quantitative Aptitude
Basics of Numbers
A sphere of maximum possible size is made out of a solid woodern cylinder of height equal to its diameter of the base. The percentage of the wastage of the wood in the process is:
CUET (PG) - 2023
CUET (PG)
Quantitative Aptitude
Percentages
Nitin sells two articles for 4,000 each with no profit, no loss in the whole transaction. If one was sold at a gain 25%, then the other is sold at a loss of:
CUET (PG) - 2023
CUET (PG)
Quantitative Aptitude
Percentages
\(A\)
and
\(B\)
are the independent events such that
\(P(AUB)= \frac {7}{10}\)
and
\(P(B)=\frac 58\)
. Then
\(P(A)\)
is equal to:
CUET (PG) - 2023
CUET (PG)
Quantitative Aptitude
Probability
For the such rate of Interest, the ratio of amount for one year under simple interest and for two years under compound interest compounded annually is 3:4. Find the rate of intrest:
CUET (PG) - 2023
CUET (PG)
Quantitative Aptitude
Simple Interest
A mapping f: R-R which is defined as f(x)=cos x, x ER is
CUET (PG) - 2023
CUET (PG)
Quantitative Aptitude
Relations
The incomes of A and B are in the ratio 2:3 and their expenditures are in the ratio 4:5. If their savings are 9,000 and 17,500 respectively, then find the income of A.
CUET (PG) - 2023
CUET (PG)
Quantitative Aptitude
Ratio and Proportion
If 5tan θ=12, then find the value of cosθ-sinθ:
CUET (PG) - 2023
CUET (PG)
Quantitative Aptitude
Trigonometry
A and B can do a work in 20 days. When A works at 60% capacity, B has to work at 150% capacity to finish the work. Find in how many days the faster one will finish the work alone.
CAT - 2023
CAT
Quantitative Aptitude
Time and Work
If A = {a, b, c) and R={(a,a), (a,b), (b,c), (b,b), (c,c), (c,a)} is a binary relation on A then which one of the following is correct?
CUET (PG) - 2023
CUET (PG)
Quantitative Aptitude
Relations
A is twice as good a workman as B. Together they finish a piece of work in 24 days. In how many days B alone can finish the work?
CUET (PG) - 2023
CUET (PG)
Quantitative Aptitude
Time and Work
Look at the series: 1296, 648, 216, 108, 36, __ .
Which one of the following numbers should come next in the series?
CUET (PG) - 2023
CUET (PG)
Quantitative Aptitude
Sequence and Series
The total number of subset of a finite set A has 56 more elements then the total number of subset of another finite set B. What is the number of elements in set A
CUET (PG) - 2023
CUET (PG)
Quantitative Aptitude
Set Theory
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