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Que: If the sum of 5 consecutive integers is 0, what is the greatest of the 5 integers?

A. -2
B. -1
C. 0
D. 1
E. 2

by [email protected] Revolution: Tue Apr 13, 2021 12:26 am; Forum: Problem Solving; Topic: Que: If the sum of 5 consecutive integers is 0, what is the greatest of the 5 integers ?; Replies: 0; Views: 18

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Que: \(\left(3^{a+b}\right)\left(3^{a-2b}\right)\) = ?

Que: \(\left(3^{a+b}\right)\left(3^{a-2b}\right)\) = ?

(1) a = 3.
(2) 2a – b = 5.

by [email protected] Revolution: Tue Apr 13, 2021 12:22 am; Forum: Data Sufficiency; Topic: Que: \(\left(3^{a+b}\right)\left(3^{a-2b}\right)\) = ?; Replies: 0; Views: 13

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Que : If n is an even integer, which of the following MUST BE an integer?

Re: Que : If n is an even integer, which of the following MUST BE an integer?

Solution: Multi-Choice questions: ‘Must be’ VS ‘Could be’ We have to find the options that must be true ‘MUST BE’: Choose only the options that are absolutely true in ALL cases => ‘n’ is an even integer, Always an integer => n=even=2m (m is always an integer) Option I: \(\frac{n^2-1}{2}=\frac{\left...

by [email protected] Revolution: Tue Apr 13, 2021 12:18 am; Forum: Problem Solving; Topic: Que : If n is an even integer, which of the following MUST BE an integer?; Replies: 1; Views: 42

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Que : When the equation \(x^2+ax+b=0\) has roots p and q, what is the value of p + q?

Data Sufficiency

Re: Que : When the equation \(x^2+ax+b=0\) has roots p and q, what is the value of p + q?

Solution: To save time and improve accuracy on DS questions in GMAT, learn and apply the Variable Approach. Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem....

by [email protected] Revolution: Tue Apr 13, 2021 12:04 am; Forum: Data Sufficiency; Topic: Que : When the equation \(x^2+ax+b=0\) has roots p and q, what is the value of p + q?; Replies: 1; Views: 31

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Que : If n is an even integer, which of the following MUST BE an integer?

Problem Solving

Que : If n is an even integer, which of the following MUST BE an integer?

Que : If n is an even integer, which of the following MUST BE an integer? I. \(\frac{\left(n^2-1\right)}{2}\) II. \(\frac{\left(n-1\right)}{2}\) III. \(\frac{n}{2}\) A. I only B. II only C. III only D. I & III only E. I, II, & III

by [email protected] Revolution: Wed Apr 07, 2021 9:29 pm; Forum: Problem Solving; Topic: Que : If n is an even integer, which of the following MUST BE an integer?; Replies: 1; Views: 42

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Que : When the equation \(x^2+ax+b=0\) has roots p and q, what is the value of p + q?

Data Sufficiency

Que : When the equation \(x^2+ax+b=0\) has roots p and q, what is the value of p + q?

Que : When the equation \(x^2+ax+b=0\) has roots p and q, what is the value of p + q?

(1) a = 4
(2) b = 9

by [email protected] Revolution: Wed Apr 07, 2021 9:23 pm; Forum: Data Sufficiency; Topic: Que : When the equation \(x^2+ax+b=0\) has roots p and q, what is the value of p + q?; Replies: 1; Views: 31

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Que: How many different prime factors of \(3^5+3^6+3^7\) are there?

Problem Solving

Re: Que: How many different prime factors of \(3^5+3^6+3^7\) are there?

Solution: Factors of M are the integers dividing M without a remainder => If M=ab (a and b are positive integers) => a and b are factors of M => When M is expressed as a product of its prime factors only => We have prime factorized M =>If we prime factorize a positive integer M => M= \(\left(p_1\ri...

by [email protected] Revolution: Wed Apr 07, 2021 9:17 pm; Forum: Problem Solving; Topic: Que: How many different prime factors of \(3^5+3^6+3^7\) are there?; Replies: 1; Views: 60

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Que: If a certain machine produces toys at a constant rate, how many minutes will it take the machine.......

Data Sufficiency

Re: Que: If a certain machine produces toys at a constant rate, how many minutes will it take the machine.......

by [email protected] Revolution: Wed Apr 07, 2021 9:03 pm; Forum: Data Sufficiency; Topic: Que: If a certain machine produces toys at a constant rate, how many minutes will it take the machine.......; Replies: 1; Views: 58

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Que: How many different prime factors of \(3^5+3^6+3^7\) are there?

Problem Solving

Que: How many different prime factors of \(3^5+3^6+3^7\) are there?

Que: How many different prime factors of \(3^5+3^6+3^7\) are there?

A. 2
B. 3
C. 4
D. 5
E. 6

by [email protected] Revolution: Thu Mar 18, 2021 9:28 pm; Forum: Problem Solving; Topic: Que: How many different prime factors of \(3^5+3^6+3^7\) are there?; Replies: 1; Views: 60

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Que: If a certain machine produces toys at a constant rate, how many minutes will it take the machine.......

Data Sufficiency

Que: If a certain machine produces toys at a constant rate, how many minutes will it take the machine.......

Que: If a certain machine produces toys at a constant rate, how many minutes will it take the machine to produce 1,200 toys?

(1) It takes the machine 75 minutes to produce 40 toys.
(2) It takes the machine 2.25 minutes to produce 2 toys.

by [email protected] Revolution: Thu Mar 18, 2021 9:23 pm; Forum: Data Sufficiency; Topic: Que: If a certain machine produces toys at a constant rate, how many minutes will it take the machine.......; Replies: 1; Views: 58

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Que: If n is positive integers, what is the unit digit of \(\left(3^{4n+1}\right)\left(4^{19}\right)\)?

Problem Solving

Re: Que: If n is positive integers, what is the unit digit of \(\left(3^{4n+1}\right)\left(4^{19}\right)\)?

Solution: Powers that repeat every 4th power: Ex) Units digit: The digit 3 repeats after every fourth power => ~\(3^1\)= ~3, ~\(3^2\)= ~9, ~\(3^3\) = ~7, ~\(3^4\)= ~1, ~\(3^5\)= ~3, ... => Pattern: 3, 9, 7, 1, 3, 9, 7, 1 …. Ex) Units digit: The digit 4 repeats after every second power => ~\(4^1\) =...

by [email protected] Revolution: Thu Mar 18, 2021 9:19 pm; Forum: Problem Solving; Topic: Que: If n is positive integers, what is the unit digit of \(\left(3^{4n+1}\right)\left(4^{19}\right)\)?; Replies: 1; Views: 49

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Que: If x and y are different prime numbers greater than 30 but less than 40, what is the value of x + y?

Problem Solving

Re: Que: If x and y are different prime numbers greater than 30 but less than 40, what is the value of x + y?

Solution: Prime number: An integer that has two positive factors = only 1 and itself => ex) 2, 3, 5, 7… We have to find the value of x + y If x and y are different prime numbers greater than 30 but less than 40 Prime numbers between 30 and 40: 31 and 37 => ∴ x + y = 31 + 37 = 68 Therefore, E is the...

by [email protected] Revolution: Thu Mar 18, 2021 9:11 pm; Forum: Problem Solving; Topic: Que: If x and y are different prime numbers greater than 30 but less than 40, what is the value of x + y?; Replies: 1; Views: 46

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by [email protected] Revolution: Thu Mar 18, 2021 9:08 pm; Forum: Data Sufficiency; Topic: Que: If the ratio of the numbers of men to women to children in a certain room is 5 to 3 to 7.....; Replies: 1; Views: 49

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by [email protected] Revolution: Thu Mar 18, 2021 9:04 pm; Forum: Data Sufficiency; Topic: Que: Machine A and machine B produce toys at their constant rates, respectively. In how many hours......; Replies: 1; Views: 43

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by [email protected] Revolution: Mon Mar 15, 2021 9:07 pm; Forum: Problem Solving; Topic: Que: If n is positive integers, what is the unit digit of \(\left(3^{4n+1}\right)\left(4^{19}\right)\)?; Replies: 1; Views: 49

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