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The ratio of boys to girls in Class \(A\) is \(3\) to \(4.\) The ratio of boys to girls in Class \(B\) is \(4\) to \(5\)

The ratio of boys to girls in Class \(A\) is \(3\) to \(4.\) The ratio of boys to girls in Class \(B\) is \(4\) to \(5.\) If the two classes were combined, the ratio of boys to girls in the combined class would be \(17\) to \(22.\) If Class \(A\) has one more boy and two more girls than class \(B,\)...


Is \(rst = 1 ?\)

Is \(rst = 1 ?\)

(1) \(rs = 1\)
(2) \(st = 1\)

Answer: E

Source: Official Guide

by Gmat_mission

Fri Jan 28, 2022 11:56 am
Forum: Data Sufficiency
Topic: Is \(rst = 1 ?\)
Replies: 0
Views: 220

In the expression \(a \$ b,\) the \(\$\) symbol represents one of the following arithmetic operations on \(a\) and \(b\)

In the expression \(a \$ b,\) the \(\$\) symbol represents one of the following arithmetic operations on \(a\) and \(b\) (in the order the variables are shown): addition, subtraction, multiplication, and division. Given that it is not true that \(a \$ b = b \$ a\) for all possible values of \(a\) an...


In a recent survey, twenty families reported their incomes for \(1995.\) Was the range of reported \(1995\) incomes for

In a recent survey, twenty families reported their incomes for \(1995.\) Was the range of reported \(1995\) incomes for these families greater than \(\$60,000?\) (1) Thirteen of the reported incomes were between \(\$20,000\) and \(\$35,000.\) (2) Seven of the reported incomes were between \(\$80,000...


\(\dfrac{\sqrt{180}+\sqrt{45}}{\sqrt{135}}=\)

\(\dfrac{\sqrt{180}+\sqrt{45}}{\sqrt{135}}=\)

A. \(\sqrt3\)

B. \(3\sqrt3\)

C. \(5\sqrt3\)

D. \(3\sqrt5\)

E. \(5\sqrt5\)

Answer: A

Source: Veritas Prep

by Gmat_mission

Fri Jan 28, 2022 11:46 am
Forum: Problem Solving
Topic: \(\dfrac{\sqrt{180}+\sqrt{45}}{\sqrt{135}}=\)
Replies: 0
Views: 240

When the positive integer \(x\) is divided by the positive integer \(y,\) the quotient is \(2\) and the remainder is

When the positive integer \(x\) is divided by the positive integer \(y,\) the quotient is \(2\) and the remainder is \(z.\) When \(x\) is divided by the positive integer \(a,\) the quotient is \(3\) and the remainder is \(b.\) Is \(z > b?\) (1) The ratio of \(y\) to a is less than \(3\) to \(2.\) (2...


Salesperson \(A\)'s compensation for any week is \(\$360\) plus \(6\) percent of the portion of \(A\)'s total sales abov

Salesperson \(A\)'s compensation for any week is \(\$360\) plus \(6\) percent of the portion of \(A\)'s total sales above \(\$1,000\) for that week. Salesperson \(B\)'s compensation for any week is \(8\) percent of \(B\)'s total sales for that week. For what amount of total weekly sales would both s...


Maria left home 1/4 hour after her husband and drove over the same route as he had in order to overtake him. From the

Maria left home 1/4 hour after her husband and drove over the same route as he had in order to overtake him. From the time she left, how many hours did it take Maria to overtake her husband? (1) Maria drove 60 miles before overtaking her husband. (2) While overtaking her husband, Maria drove at an a...


The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively.

The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 12 defects, for which of these values does the mean number of defects per car for the first six cars equal the med...


If \(m\) and \(n\) are both positive, is \(mn < 10?\)

If \(m\) and \(n\) are both positive, is \(mn < 10?\)

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

Answer: C

Source: Manhattan GMAT

by Gmat_mission

Fri Jan 28, 2022 11:02 am
Forum: Data Sufficiency
Topic: If \(m\) and \(n\) are both positive, is \(mn < 10?\)
Replies: 0
Views: 189

If Enid and Topanga each roll a single ten-sided die (which has sides numbered 1 through 10), what is the probability

If Enid and Topanga each roll a single ten-sided die (which has sides numbered 1 through 10), what is the probability that Enid will roll a larger number than Topanga does? A. \(\dfrac25\) B. \(\dfrac9{20}\) C. \(\dfrac{49}{100}\) D. \(\dfrac{99}{200}\) E. \(\dfrac12\) Answer: B Source: Veritas Prep


If \(n\) and \(t\) are positive integers, is \(n\) a factor of \(t?\)

If \(n\) and \(t\) are positive integers, is \(n\) a factor of \(t?\)

(1) \(n=3^{n-2}\)

(2) \(t=3^n\)

Answer: C

Source: GMAT Prep


If \(a\) and \(b\) are integers, is \(b>a?\)

If \(a\) and \(b\) are integers, is \(b>a?\)

(1) \(-\dfrac{30}{b}=a\)
(2) \((a-b)(a+b)=-11\)

Answer: E

Source: Manhattan GMAT

by Gmat_mission

Fri Jan 28, 2022 10:10 am
Forum: Data Sufficiency
Topic: If \(a\) and \(b\) are integers, is \(b>a?\)
Replies: 0
Views: 202