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A certain company currently has how many employees?

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A certain company currently has how many employees?

(1) If 2 additional employees are hired by the company and all of the present employees remain, there will be at least 20 employees in the company.
(2) If no additional employees are hired by the company and 2 of the present employees resign, there will be 18 employees in the company.

A pizza place sells vegetarian pizza for a certain price and meat pizz

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A pizza place sells vegetarian pizza for a certain price and meat pizza for a certain price. If Dana, Alex and Tim bought pizza from this store, how much did Dana pay for 2 vegetarian pizzas?

(1) Tim bought 1 meat pizza and one vegetarian pizza for $18.80.
(2) Alex bought 2 meat pizzas and 2 vegetarian pizzas for $37.60.

Specific Doubt - Remainders - Medium to High level

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Hi All,

I have a very specific doubt, please help me understand this :)

Self created DS question and statement :
Is p divisible by 16?
a) when p is divided by 3, remainder is 1
b) when p is divided by 7, remainder is 2

I go on to deduce the following relation:
From a -
p = 3m+1 => p = 1,4,7 ...in increments of 3. ofcourse not sufficient.
From b -
p = 7n+2 => p = 2,9,16 ...in increments of 7. ofcourse not sufficient.
From a+b -
Next, the first common number in both the set is the required number.
because earlier i didnt write the entire list, for C i have to list all the elements. So ->
From a, we have list A = 1,4,7,10,13,16,19,22,25,28,31,34,37,40,43,46,49,52,55,58,61,...
From b, we have list B = 2,9,16,23,30,37,44,51,58,65,72,...
Okay, so now we have list C = common numbers from both = 16,37,58,...
As per the question, if I had stopped at 16 in list C, my answer would have been C. but because I checked for next numbers as well, I can definitely say answer is E.

Doubt :
Trend I notice here is:
37 - 16 = 21
58 - 16 = 21
I dont need to list down all the elements in list A and list B, as soon as I get first common number I can stop and add 3*7 (quotient from statement a and b) to get the next common number in list C. This will definitely help me save time.
Can you please confirm - Is difference same i.e. quotient 1 * quotient 2, each and every time?
If so, any logic underlying this?

If ab 0, is |a-b|>|a+b|?

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If ab 0, is |a-b|>|a+b|?

1) ab < 0
2) a > b

Can any one please provide explanation on how to solve these type of questions ?
@Bunnel ?

What is the value of a positive integer n if 2,3 and 5 are the only

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What is the value of a positive integer n if 2,3 and 5 are the only prime factors of n.
A)n>100
B)n has exactly 12 factors.





Source-> E-gmat

If y is a positive odd integer less than 33,does y have a factor p

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If y is a positive odd integer less than 33,does y have a factor p such that 1<p<y?
A)y+2 is divisible by 3.
B)Units digit of y is 7.


Source-> E-gmat

Free 1 Hour Quant Doubt Clearing Class

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In a Mall, there is an offer on perfumes " Buy 2 Get 1 free", that is

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In a Mall, there is an offer on perfumes " Buy 2 Get 1 free", that is if you buy two perfumes, you will get one free. If a person picks up three perfumes of same price under this offer, what is the discount on each perfume?

A) 30%
B) 30.33%
C) 33.33%
D) 40%
E) 50%

Self made at a mall :wink:

Which of the following is the reciprocal of 2^(1/2)

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Which of the following is the reciprocal of \(\sqrt{2}\)?

A. 1/2

B. \(\frac{\sqrt{2}}{2}\)

C. 1.4

D. \(\sqrt{2}\)

E. \(2\sqrt{2}\)

If the reciprocal of x is between 0 and 1, which of the following must

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If the reciprocal of x is between 0 and 1, which of the following must be true?

A. x^3 < x^6 < x^7
B. x^6 < x^3 < x^7
C. x^3 < x^7 < x^3
D. x^3 < x^7 < x^6
E. x^7 < x^3 < x^6

If f(x) = (x^6 + 1)/x^2 for all non-zero values of x, then what is the

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If f(x) = (x^6 + 1)/x^2 for all non-zero values of x, then what is the value of f(x)?

(1) x < 0
(2) |x| = 16

What was the average number of miles per gallon of gasoline for a car

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What was the average number of miles per gallon of gasoline for a car during a certain trip?

(1) The total cost of the gasoline used by the car for the 200-mile trip was $31.50
(2) The cost of the gasoline used by the car for the trip was $2.10 per gallon

A certain company currently has how many employees?

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A certain company currently has how many employees?

(1) If 8 additional employees are hired by the company and all of the present employees remain, there will be twice the number of employees in the company
(2) If no additional employees are hired by the company and 4 of the present employees resign, there will be half the number of employees in the company

If 9 < k < 9, is k < 0 ?

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If 9 < k < 9, is k < 0 ?

(1) 1/k < 0
(2) k^2 > 0

If x and y are positive integers, what is the value of x?

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If x and y are positive integers, what is the value of x?

(1) 400 percent of x^2 equals y^2.
(2) x + y = 6

If 4 < k < 4, is k > 2 ?

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If 4 < k < 4, is k > 2 ?

(1) k^2 < 9
(2) 20k > 50

If a and b are integers each greater than 3, what is the value of if

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If a and b are integers each greater than 3, what is the value of (a - 3)!/b! if a b = 3?

A. a
B. 1
C. 2
D. 3
E. It cannot be determined from the information given.

If m, n and p are nonzero digits and mn = p. What is p?

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If m, n and p are nonzero digits and mn = p. What is p?

(1) n < m
(2) m = 5

If m, n and p are distinct digits and their product is another distinc

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If m, n and p are distinct digits and their product is another distinct digit, what is value of the product mnp?

(1) mn = 8
(2) m is twice n and n is twice p

Which of the following expresses the range of possible values for

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Which of the following expresses the range of possible values for t if 0 < |5t 8| < 1?

A. 2/5 < t < 14/5
B. 2/5 < t < 9/5
C. 7/5 < t < 14/5
D. 7/5 < t < 9/5
E. 9/5 < t < 14/5
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