Quantitative Aptitude MCQ - Numbers and Algebra

Correct AnswerOption B
Rate difficulty Rate difficulty:
Choose a difficulty.
x3 - y3- 3xy = x3 - y3 - 3xy(x y)....as (x - y) = 1 = (x - y)3= 1.
Cancel reply

Your email address will not be published. Required fields are marked *


Cancel reply

Your email address will not be published. Required fields are marked *

Correct AnswerOption D
Rate difficulty Rate difficulty:
Choose a difficulty.

y 4 3 2 1 -1 -3 -4

x 6 5 4 3 1 -1 -2

Hence, minimum value of

Number & Algebra

And maximum value of

Number & Algebra

Cancel reply

Your email address will not be published. Required fields are marked *


Cancel reply

Your email address will not be published. Required fields are marked *

Correct AnswerOption D
Rate difficulty Rate difficulty:
Choose a difficulty.
(a. n)! = product of n consecutive natural numbers starting from 'a' which is atleast divisible by n!. (n)! = product of n consecutive natural numbers. For n = 2 : (a. n)! = a(a + 1) and n! = 2 a(a + 1) is divisible by 2!. For n = 3 : (a n)! = a(a + 1)(a + 2) and n! = 6. One of the factors of a(a + 1)(a + 2) is divisible by 3 and other by 2. Thus, proceeding in this manner, (a. n)! and n! have HCF = n! ∴ H = n!.
Cancel reply

Your email address will not be published. Required fields are marked *


Cancel reply

Your email address will not be published. Required fields are marked *

Correct AnswerOption C
Rate difficulty Rate difficulty:
Choose a difficulty.
Found this useful?
Follow:

Factors of a2 are 1. a and a2.
Factors of ab are 1, a, b and ab.
Factors of a3 are 1. a. a2 and a3.

Cancel reply

Your email address will not be published. Required fields are marked *


Cancel reply

Your email address will not be published. Required fields are marked *

Correct AnswerOption B
Rate difficulty Rate difficulty:
Choose a difficulty.

x2 + y2 + z2-2xy - 2xz + 2yz 
= (x - y - z)2
=(b+c-c+a-a+b)2= 4b2

Cancel reply

Your email address will not be published. Required fields are marked *


Cancel reply

Your email address will not be published. Required fields are marked *

Why Practice with Avatto?
High Quality MCQsExam-focused questions with accurate answers
Detailed ExplanationsStep-by-step explanations to enhance learning
Latest Exam PatternBased on updated syllabus and pattern
Performance AnalyticsTrack performance and improve weak areas
100% Free PracticePractice unlimited questions for free
Boost Your PreparationAttempt mock tests, previous year papers and topic-wise quizzes.Explore All Tests →