## Search found 3846 matches

#### Que: How many different prime factors of $$4^5+4^6+4^7$$ are there?

##### Que: How many different prime factors of $$4^5+4^6+4^7$$ are there?

Que: How many different prime factors of $$4^5+4^6+4^7$$ are there?

A. 2
B. 3
C. 1
D. 5
E. 6

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

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

Que: If a certain machine produces toys at a constant rate, how many minutes will it take the machine to produce 1,800 toys?

(1) It takes the machine 80 minutes to produce 50 toys.
(2) It takes the machine 6.4 minutes to produce 4 toys.

#### Que: If n is positive integers, what is the unit digit of $$\left(3^{4n+1}\right)\left(9^{19}\right)$$?

##### Re: Que: If n is positive integers, what is the unit digit of $$\left(3^{4n+1}\right)\left(9^{19}\right)$$?

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 9 repeats after every second power => ~$$9^1$$ = ...

#### Que: If the ratio of the numbers of men to women to children in a certain room is 4 to 7 to 9..........

##### Re: Que: If the ratio of the numbers of men to women to children in a certain room is 4 to 7 to 9..........

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....

#### Que: If n is positive integers, what is the unit digit of $$\left(3^{4n+1}\right)\left(9^{19}\right)$$?

##### Que: If n is positive integers, what is the unit digit of $$\left(3^{4n+1}\right)\left(9^{19}\right)$$?

Que: If n is positive integers, what is the unit digit of $$\left(3^{4n+1}\right)\left(9^{19}\right)$$?

A. 3
B. 7
C. 6
D. 2
E. 8

#### Que: If the ratio of the numbers of men to women to children in a certain room is 4 to 7 to 9..........

##### Que: If the ratio of the numbers of men to women to children in a certain room is 4 to 7 to 9..........

Que: If the ratio of the numbers of men to women to children in a certain room is 4 to 7 to 9, how many people are in the room?

(1) The total number of men and women in the room is 11.
(2) The number of children in the room is between 8 and 10.

#### Que: If x and y are different prime numbers greater than 20 but less than 30, what is the value of x + y?

##### Re: Que: If x and y are different prime numbers greater than 20 but less than 30, 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 20 but less than 30 => Prime numbers between 20 and 30: 23 and 29 => ∴ x + y = 23 + 29 = 52 . Therefore, D...

#### Que: Machine A and machine B produce toys at their constant rates, respectively. In how many hours.....

##### Re: Que: Machine A and machine B produce toys at their constant rates, respectively. In how many hours.....

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....

#### Que: If x and y are different prime numbers greater than 20 but less than 30, what is the value of x + y?

##### Que: If x and y are different prime numbers greater than 20 but less than 30, what is the value of x + y?

Que: If x and y are different prime numbers greater than 20 but less than 30, what is the value of x + y?

A. 23
B. 29
C. 50
D. 52
E. 56

#### Que: Machine A and machine B produce toys at their constant rates, respectively. In how many hours.....

##### Que: Machine A and machine B produce toys at their constant rates, respectively. In how many hours.....

Que: Machine A and machine B produce toys at their constant rates, respectively. In how many hours does machine A produce the total number of toys?

(1) Machine B produces 1,000 toys in 8 hours.
(2) The total number of toys that machine A must produce is 2,000.

#### Que: John purchased 2,000 bolts for $15 each. He sold 1,000 bolts for$20 each .......

##### Re: Que: John purchased 2,000 bolts for $15 each. He sold 1,000 bolts for$20 each .......

Solution: We have to find the total profit from the sale of 3,000 bolts Revenues = Total sales; Cost = Purchases Total cost of 2,000 bolts = 2,000 * 15 = $30,000 Revenue = 1,000 * 20 + 1,000 * 30 = 20,000 + 30,000 =$50,000 => ∴ Profit = $50,000 -$30,000 = $20,000 Therefore, D is the correct answe... #### Que: What is the total number of sports clubs that John and Sandy have? ###### Data Sufficiency ##### Re: Que: What is the total number of sports clubs that John and Sandy have? 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.... #### Que: John purchased 2,000 bolts for$15 each. He sold 1,000 bolts for $20 each ....... ###### Problem Solving ##### Que: John purchased 2,000 bolts for$15 each. He sold 1,000 bolts for $20 each ....... Que: John purchased 2,000 bolts for$15 each. He sold 1,000 bolts for $20 each in the first week and sold the rest for$30 each in the second week. What was his total profit from sales?

A. $5,000 B.$10,000
C. $15,000 D.$20,000
E. \$25,000

#### Que: What is the total number of sports clubs that John and Sandy have?

##### Que: What is the total number of sports clubs that John and Sandy have?

Que: What is the total number of sports clubs that John and Sandy have?

(1) John has 40 percent more sports clubs than Sandy.

(2) Sandy has between 5 and 11 sports clubs.

#### Que: Mandy sold 600 apples in 10 days. If the number of apples she sold increased by 4 each day.....

##### Re: Que: Mandy sold 600 apples in 10 days. If the number of apples she sold increased by 4 each day.....

Solution: We have to find the number of apples did Mandy sell on the $$10^{th}$$ day. Given: Mandy sold 600 apples in 10 days and the number of apples she sold increased by 4 each day $$1^{st}$$ day: x $$2^{nd}$$ day: x + 4 $$3^{rd}$$ day: x + 4 + 4 = x + 2 * 4 . . . $$10^{th}$$ day: x + 9 * 4 => x...