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Quantitative Aptitude
List of top Quantitative Aptitude Questions
The volumes of two cones of equal height are in the ratio \( 1849 : 961 \). What is the ratio of their radii?
APICET - 2024
APICET
Quantitative Aptitude
Volume of a Right Circular Cone
The solution set of \( x^2 + 6x < 91 \) is
APICET - 2024
APICET
Quantitative Aptitude
Inequalities
The distance between the lines \( 3x + 4y + 1 = 0 \) and \( 6x + 8y - 1 = 0 \) is
APICET - 2024
APICET
Quantitative Aptitude
Distance between Two Lines
The G.C.D. and L.C.M of two numbers are 12 and 252 respectively. If one number is 36, then the other number is
APICET - 2024
APICET
Quantitative Aptitude
Some Problems on HCF and LCM
If the area of a square field is 7200 sq. m, then the length of its diagonal in meters is
APICET - 2024
APICET
Quantitative Aptitude
Mensuration
The equation of the line passing through the point \( (2, -3) \) and perpendicular to the segment joining the points \( (1, 2) \) and \( (-1, 5) \) is
APICET - 2024
APICET
Quantitative Aptitude
General Equation of a Line
If a flag of 6 meters height, placed on top of a tower, throws a shadow of \( 2\sqrt{3} \) meters along the ground, then the angle in degrees that the sun makes with the ground is
APICET - 2024
APICET
Quantitative Aptitude
Height and Distance
If \[ \left( \frac{2}{1} \right)^x \left( \frac{-1}{1} \right)^y = \left( \frac{4}{5} \right), \]
then find the value of \( 2x - 3y \)
.
APICET - 2024
APICET
Quantitative Aptitude
Exponents
If \( K + 2, 4K - 6, 3K - 2 \) are three consecutive terms of an arithmetic progression, then the value of \( K \) is
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APICET
Quantitative Aptitude
Arithmetic Progression
If \( y = x + \frac{1}{x} \) then \( x^4 + x^3 - 4x^2 + x + 1 = \)
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APICET
Quantitative Aptitude
Algebra
A, B and C can do a piece of work in 4, 5 and 7 days respectively. If they get Rs.415 for working together to complete the job, then A's share is
APICET - 2024
APICET
Quantitative Aptitude
Time and Work
Two pipes A and B can fill a tank in 12 min and 18 min respectively, if both are opened simultaneously then the time taken to fill the tank in minutes is
APICET - 2024
APICET
Quantitative Aptitude
Time and Work
A train takes 8 seconds to pass a person standing on the platform. If the speed of the train is 36 Kmph, then its length in meters is
APICET - 2024
APICET
Quantitative Aptitude
Time, Speed and Distance
A bus takes 3 hours and 30 minutes to cover a distance of 280 km. To make this journey in 4 hours, by how much the speed of the bus be decreased?
APICET - 2024
APICET
Quantitative Aptitude
Time, Speed and Distance
The simple interest on a certain sum at the rate of 7% for 6 years is ₹ 3024. The sum is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Simple Interest
In what ratio should two varieties of sugar costing ₹ 52/kg and ₹ 42/kg, respectively, be mixed to get a variety of sugar costing ₹ 45/kg?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Mixtures and Allegations
A number when multiplied by 18, increased by 357. The number is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Basic Algebra
A solid metallic cube having surface area 864 cm\(^2\) is melted to form 64 small solid cubes of the same size. The sum of the surface areas of all the small cubes so formed (in cm\(^2\)) is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Mensuration
A is three years older than B who is twice as old as C. If the sum of the ages of A, B and C is 28 years, then how old is B?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Problem on Age
The monthly salaries of A and B together amount to ₹ 40000. A spends 82% of his salary and B, 94% of his salary. If their savings are the same, then the salary of A is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Profit and Loss
What is the average of first 16 multiples of 9?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Averages
In a journey of total 24 km, a man noticed that after cycling for 1 hour 40 minutes, the distance covered by him was \( \frac{5}{7} \) of the remaining distance. What was his speed in meters per second?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Time, Speed and Distance
The sum of two numbers is 240. If the numbers are in the ratio 3 : 5, then the sum of their LCM and HCF is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Some Problems on HCF and LCM
Solve: \( 2.8 - (7.4 \div 3.7 \times 5) \times 2 \)
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Simplification
What is the least number that must be added to 6412 to get a perfect square?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Number System
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