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Quantitative Aptitude
List of top Quantitative Aptitude Questions
If \( x^4 - x^3 + 2x^2 + ax + b \) is exactly divisible by \( x^2 - 3x + 2 \), then \( (a, b) \) is
APICET - 2024
APICET
Quantitative Aptitude
Polynomials
The greatest number of four digits which is divisible by 15, 25, 40, and 75 is:
TANCET - 2024
TANCET
Quantitative Aptitude
LCM and HCF
Which term in the expansion of
\(( x - \frac{1}{x^3})^{40}\)
is independent of
\(x\)
?
APICET - 2024
APICET
Quantitative Aptitude
Binomial Expansion
If \( x^2 + 2(K+2)x + 36 = 0 \) has equal roots, then \( K = \)
APICET - 2024
APICET
Quantitative Aptitude
Quadratic Equations
If Rakesh borrows Rs. 36,000 from Sathesh at a rate of interest 6% S.I, at the end of four years, how much interest does Rakesh have to pay?
TANCET - 2024
TANCET
Quantitative Aptitude
SI & CI
If \( \frac{a}{c} = \frac{c}{d} = \frac{e}{f} \), then
APICET - 2024
APICET
Quantitative Aptitude
Ratio and Proportion
A, B and C are three partners. They all together invested Rs 42,000 in a business. At the end of the year, A received Rs 377.50, B Rs 1085 and C Rs 637.50 as profit. The difference between the investments of B and C is:
NIFT - 2024
NIFT
Quantitative Aptitude
Partnership
The Standard Deviation of 2, 4, 6, 8, 10 is
APICET - 2024
APICET
Quantitative Aptitude
Mean, median, mode and standard deviation
The average age of 5 children is 8 years. If the age of the father is included to the children average becomes 13, then the age of the father is
APICET - 2024
APICET
Quantitative Aptitude
Averages
A bag contains 3 red balls, 4 white balls, and 7 black balls. The probability of drawing a red or a black ball is
APICET - 2024
APICET
Quantitative Aptitude
Probability
The greatest number of 5 digits which when divided by 4, 5, 6, 7, and 8 leaves 1, 2, 3, 4, and 5, respectively, as remainders is:
NIFT - 2024
NIFT
Quantitative Aptitude
Number Systems
If each exterior angle of a regular polygon is \( 36^\circ \), then the number of sides of the polygon is
APICET - 2024
APICET
Quantitative Aptitude
Polygons
If \( y = \tan^{-1}(x) \), then \( \frac{dy}{dx} = \)
APICET - 2024
APICET
Quantitative Aptitude
Derivatives
If
\[ \frac{28.5}{5} \, \frac{21.5}{15} = \frac{15.5}{30} = \left( \frac{x}{4} \right)^3 - 3, \]
then the value of \(x\) is:
NIFT - 2024
NIFT
Quantitative Aptitude
Algebra
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
APICET - 2024
APICET
Quantitative Aptitude
Problem on Age
If the 5th term of \( \left( 2x^2 + \frac{3}{x} \right)^5 \) is 10, then \( x = \)
APICET - 2024
APICET
Quantitative Aptitude
Binomial Expansion
Evaluate the limit: \[ \lim_{x \to 2} \left[ \frac{1}{x - 2} - \frac{1}{x^2 - 3x + 2} \right]. \]
APICET - 2024
APICET
Quantitative Aptitude
Limits
If \( A \) is a non-singular 3x3 matrix, then \( \left| 5A \right| \) is
APICET - 2024
APICET
Quantitative Aptitude
Matrices
Evaluate the following expression:
\[ \frac{0.963 \times 0.963 - 0.963 \times 0.037 + 0.037 \times 0.037}{0.963 \times 0.963 \times 0.963 + 0.037 \times 0.037 \times 0.037} \]
NIFT - 2024
NIFT
Quantitative Aptitude
Algebra
Find the correct number that will complete the series:
14, 26, 36, 44, 50, ________, 56
SNAP - 2024
SNAP
Quantitative Aptitude
Number System
By selling an item at a discount of 20%, the profit is 20%. The profit percentage, if the item is sold at a discount of 10%, is:
NIFT - 2024
NIFT
Quantitative Aptitude
Profit and Loss
The average age of 6 sons of a family is 8 years. The average age of the sons together with their parents is 22 years. If the father is 8 years older than the mother, then the age of the father (in years) is:
NIFT - 2024
NIFT
Quantitative Aptitude
Averages
After allowing a discount of 12% on the marked price, a shopkeeper still gains 21%. How much (in percentage) is the marked price above the cost price?
NIFT - 2024
NIFT
Quantitative Aptitude
Profit and Loss
Two trains arrived at a station at 10:45 am and 11:50 am with a late of 25 minutes and 30 minutes respectively. What is the time difference, in minutes, between their scheduled arrivals at the station?
APICET - 2024
APICET
Quantitative Aptitude
Time, Speed and Distance
Cynthia has borrowed Rs. 6,000 at the rate of 7% S.I. What amount does she need to pay after 3 years to clear the debt?
TANCET - 2024
TANCET
Quantitative Aptitude
SI & CI
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