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Quantitative Aptitude
List of top Quantitative Aptitude Questions
If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, the resultant fraction is
\(\frac{5}{12}\)
. What was the original fraction?
NMAT
Quantitative Aptitude
Percentages
The arrangement of rational numbers
\(\frac{-7}{10},\frac{5}{-8},\frac{2}{-3}\)
in ascending order is
NMAT
Quantitative Aptitude
Number Systems
In a forest there are as many Santa Trees as there are Ajanta Trees. One-fourth of all the tree are old. One-half of the total trees are in flowering stage. Which of the following statement is true?
NMAT
Quantitative Aptitude
Division Of Fractions
when simplified, the product
\(\left\{2-\frac{1}{3}\right\}\)
\(\left\{2-\frac{3}{5}\right\}\)
\(\left\{2-\frac{5}{7}\right\}\)
---
\(\left\{2-\frac{999}{1001}\right\}\)
is equal to
NMAT
Quantitative Aptitude
Number Systems
Vineet calculates his profit percentage on the selling price whereas Roshan calculates his profit on the cost price. They find that the difference of their profits is Rs. 275. If the selling price of both of them are the same, and Vineet gets 25
\(\%\)
profit and Roshan gets 15
\(\%\)
profit, then find their selling price.
NMAT
Quantitative Aptitude
Profit and Loss
In a box there are (x + 5) red balls, ‘x’ blue balls and (x + 1) black balls. If the probability of picking two blue balls at random is 1/35, then find the value of ‘x’.
CAT
Quantitative Aptitude
Probability
∆ABC is inscribed inside a circle and there is a point D on the arc BC opposite to A such that BD = CD. If ∠BAC = 70° and ∠ABD = 85°, then find the measure of ∠BCA.
CAT
Quantitative Aptitude
Triangles
If 4
(4b-3a)
= 2
(2b+c)
= 8
(c-a)
and a + b + c = 11, then find the value of
\(4(\frac{1}{ab}+\frac{1}{bc}+\frac{1}{ca})\)
CAT
Quantitative Aptitude
Basic Algebra
Aman bought '3x' shares for Rs. 420 per share, '4x' shares for Rs. 450 per share and '3x' shares for Rs. 430 per share. He sold 40% of the shares at Rs. 480 per share and the rest at Rs. 'y' per share. If he made a total profit of 20% on the whole transaction, find the value of 'y'.
CAT
Quantitative Aptitude
Shares and Dividends
The digit at the unit place of P would be: Given, P=(6+1) (6
2
+1) (6
3
+1) ......... (6100+1)
CAT
Quantitative Aptitude
Linear Equations
Scheme A offers 25% interest and scheme B offers 20% interest. M invested Rs.4000 in scheme A and Rs.6000 in scheme B at compound interest. After 2 years, he invested the amount received from scheme A and B in schemes B and A respectively at simple interest for 2 more years. If another person N invested Rs.6000 in scheme A and Rs.4000 in scheme B at compound interest. After 2 years, he invested the amount received from scheme A and B in schemes B and A respectively at simple interest for 2 more years, then what is the difference between total amount received by M and N after 4 years?
CAT
Quantitative Aptitude
SI & CI
The average weight of ‘b’ boys in a group is 63 kg. A boy whose weight is 147 kg joins the group such that the average weight of the group becomes a prime number in between 65 and 91. Find the value of ‘b+1’.
CAT
Quantitative Aptitude
Average
If x
2
- 8x = 1, then find the value of {(x
6
+ 12x
3
- 1)/(x
6
- 24x
3
- 1)}
CAT
Quantitative Aptitude
Number Systems
If (Ax + By - Cz)
2
+ 4
\(\sqrt3\)
xy - 2
\(\sqrt6\)
yz - 4
\(\sqrt2\)
xz, then find the value of A
2
+ B
2
C
2
.
CAT
Quantitative Aptitude
Number Systems
Find the number of zeros at the end of the product :
5 × 10 × 15 × 20 × 25 × ……………………..× 500
CAT
Quantitative Aptitude
Number Systems
A solid wooden cylindrical log of radius 35 cm and height 20 cm is used to make a glass holder box. 12 conical holes of height 15 cm and radius 3.5 cm are drilled into the upper surface of the log to accommodate glasses. The remaining upper surface area which is solid is covered with woolen cloth that costs Rs.4 per sq. cm and the inner surfaces of the holes are polished at the rate of Rs.0.25 per sq. cm. What is the total cost incurred ?
CAT
Quantitative Aptitude
Mensuration
A shopkeeper has two jars P and Q containing almond oil in the ratio 2 : 3 respectively. He mixes '3x' litres and '2x' litres of olive oil in P and Q, respectively, after which the percentage of olive oil in jar P becomes 80% more than that in jar Q. If mixtures from jar P and jar Q are then mixed in the ratio of 3 : 1, what will be the percentage of olive oil in the resultant mixture?
CAT
Quantitative Aptitude
Mixtures and Allegations
Upstream speed of a motorboat is 70% of that downstream speed. The motorboat goes 220 km downstream but while returning the same distance in upstream, the rate of stream was double of itself. In this way, the motorboat takes the total time of 31 hours. What was the difference between time taken to go 220 km downstream and return the same distance in upstream?
CAT
Quantitative Aptitude
Time, Speed and Distance
A pendulum strikes 7 times in 4 seconds, and another pendulum strikes 5 times in 3 seconds. If both pendulums start striking at the same time, how many clear strikes can be listened in one minute?
Quantitative Aptitude
Time & Work
The sum of a two-digit number and the number obtained by reversing the digits is 99. If the digits of the number differ by 7, then the two-digit number can be:
CUET (UG)
Quantitative Aptitude
Basic Algebra
The ratio of the ages of Amit and his father is 2:5. After 4 years, the ratio of their ages will become 3:7. What will be the ratio of their ages after 6 years?
CUET (UG)
Quantitative Aptitude
Problem on Age
The average of four numbers is 48. If the first number is one-third of the sum of the remaining numbers, then the first number is:
CUET (UG)
Quantitative Aptitude
Average
If the selling price of 75 articles is equal to the cost price of 90 articles, then find the gain percentage.
CUET (UG)
Quantitative Aptitude
Profit and Loss
PQ and RS are common tangents to two circles intersecting at points A and B. A and B, when produced on both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm and XY = 5 cm, then PQ is:
CUET (UG)
Quantitative Aptitude
Tangents and Normals
A die is thrown once. What is the probability of getting a number greater than 4?
CUET (UG)
Quantitative Aptitude
Probability
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