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Quantitative Aptitude
List of top Quantitative Aptitude Questions
If each exterior angle of a regular polygon is \( 36^\circ \), then the number of sides of the polygon is
AP ICET - 2024
AP ICET
Quantitative Aptitude
Polygons
If \( y = x(x - 1)(x - 2) \), then the derivative \( \frac{dy}{dx} \) is
AP ICET - 2024
AP ICET
Quantitative Aptitude
Differentiation
What is the Geometric Mean of 12, 30, and 75?
AP ICET - 2024
AP ICET
Quantitative Aptitude
Geometric Progressions
What is the area, in square units, of the triangle formed by the points \( (3, 2), (3, -6) \) and \( (5, 2) \)?
AP ICET - 2024
AP ICET
Quantitative Aptitude
Coordinate Geometry
The equation of the straight line passing through the points \( (1, -5) \) and \( (-2, 4) \) is
AP ICET - 2024
AP ICET
Quantitative Aptitude
Equation of a Line
If \( A \) is a non-singular 3x3 matrix, then \( \left| 5A \right| \) is
AP ICET - 2024
AP ICET
Quantitative Aptitude
Matrices
\[ \tan \left( -\frac{23}{3} \pi \right) = \]
AP ICET - 2024
AP ICET
Quantitative Aptitude
Trigonometry
If \( x^4 - x^3 + 2x^2 + ax + b \) is exactly divisible by \( x^2 - 3x + 2 \), then \( (a, b) \) is
AP ICET - 2024
AP ICET
Quantitative Aptitude
Polynomials
If the angle of elevation of the top of a tower of height 100 meters from a point to its foot is \( \tan^{-1} \left( \frac{4}{5} \right) \), then what is the distance from the point to its foot in meters?
AP ICET - 2024
AP ICET
Quantitative Aptitude
Height and Distance
The father is 7 times older than his son. After 5 years the sum of their ages would be 50 years. The son’s age at present is
AP ICET - 2024
AP ICET
Quantitative Aptitude
Problem on Age
A, B and C start a business with investments of Rs.6,000, Rs.7,000, and Rs.8,000 respectively. The profit at the end of the year is Rs.3,150. Then share of B in the profit is
AP ICET - 2024
AP ICET
Quantitative Aptitude
Profit and Loss
\[ (1 + \sqrt{2})^4 + (1 - \sqrt{2})^4 \]
AP ICET - 2024
AP ICET
Quantitative Aptitude
Binomial Expansion
The solution set of \( x^2 + 6x < 91 \) is
AP ICET - 2024
AP ICET
Quantitative Aptitude
Inequalities
The volumes of two cones of equal height are in the ratio \( 1849 : 961 \). What is the ratio of their radii?
AP ICET - 2024
AP ICET
Quantitative Aptitude
Volume of a Right Circular Cone
If \( 8^{2x - 4} = 16^{x - 2} \), then \( x = \)
AP ICET - 2024
AP ICET
Quantitative Aptitude
Exponents
A sum becomes double in 8 years at simple interest. What is the rate percent per annum?
AP ICET - 2024
AP ICET
Quantitative Aptitude
Simple Interest
If \( \frac{a}{c} = \frac{c}{d} = \frac{e}{f} \), then
AP ICET - 2024
AP ICET
Quantitative Aptitude
Ratio and Proportion
Three numbers in the ratio 2:3:4 have their sum 270. Then the L.C.M. is
AP ICET - 2024
AP ICET
Quantitative Aptitude
Ratio
The distance between the lines \( 3x + 4y + 1 = 0 \) and \( 6x + 8y - 1 = 0 \) is
AP ICET - 2024
AP ICET
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
AP ICET - 2024
AP ICET
Quantitative Aptitude
Some Problems on HCF and LCM
Evaluate the limit: \[ \lim_{x \to 2} \left[ \frac{1}{x - 2} - \frac{1}{x^2 - 3x + 2} \right]. \]
AP ICET - 2024
AP ICET
Quantitative Aptitude
Limits
If the area of a square field is 7200 sq. m, then the length of its diagonal in meters is
AP ICET - 2024
AP ICET
Quantitative Aptitude
Mensuration
The cost price of 16 pens is the same as the selling price of 12 pens. The percentage of profit is
AP ICET - 2024
AP ICET
Quantitative Aptitude
Profit and Loss
If the 5th term of \( \left( 2x^2 + \frac{3}{x} \right)^5 \) is 10, then \( x = \)
AP ICET - 2024
AP ICET
Quantitative Aptitude
Binomial Expansion
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
AP ICET - 2024
AP ICET
Quantitative Aptitude
Height and Distance
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