Various latest topics from GMAT Club Forum

What is the remainder when the number 14^2*15^8 is divided by 5?

A. 0
B. 1
C. 2
D. 4
E. 5

If h and j are positive integers, is j a multiple of 9?

(1) 9 is a factor of 6 + 3h
(2) 4 + j = 3h

Let x and y be two distinct digits in the decimal x.yx, what is x?

(1) When rounded to the nearest integer, the decimal becomes y
(2) When rounded to the nearest tenth, the decimal becomes x.y

If S, P, T are there such that s<p<t, is the average (Arithmetic mean) of s and t equal to 5p/2?

(1) the average of s, p, and t is equal to twice of the median of them.
(2) s + t = 5p

At the rate of x feet per s seconds, how many miles does a cyclist travel in y minutes(5280 feet per mile)?

a) xy/88s
b) 88s/xy
c) xy/5280s
d) 5280s/xy
e) 15xy/22s

Please help me understand how to approach above conversion problems. Source is Veritas Prep Book on word problems.

Four years ago, the average age of a family of 9 members was 31 years. Two years later a man died at an age of 41 years, what is the present average age of the family?
A) 32
B)33
C)34
D)35
E)36

(1/7!)-(1/8!)=?

A. 1/6! B. 1/7! C. 7/8! D. 8/7! E. 7/6!

If x and y are positive, is \(x+y>2xy\)?

1) \(x>y\)
2) \((x-y)^2>0\)

This topic have been merged with: http://gmatclub.com/forum/topic-210962.html

Hi everyone!

I'm goin through the Kaplan book and now I'm on the Statistics chapter. My question is why the answer is B? I was so sure that the answer was D. Could anyone explain to me?

4. If x 4 and y 10, what is the range of the numbers in the set {5, 8, x, y}?
(1) 3x + 5y = 72
(2) 7x + 7y = 56

Last year Harold's average time to finish the qualifying event was three hours. If he knows that he can increase his speed this year by 20%, how many minutes should it take him to complete the event?

A. 150
B. 144
C. 120
D. 90
E. 36

The rearmost end of a 66 foot truck exits a 330 foot tunnel exactly 6 seconds after the frontmost end of the truck entered the tunnel. If the truck traveled the entire tunnel at a uniform speed, what is the speed of the truck in miles per hour (1 mile = 5,280 feet)?

A. 225
B. 90
C. 45
D. 37.5
E. 27

In a horse race, the winning horse's nose crosses the finish line 6 seconds before that of the second place horse. If a horse measures 7 feet in length from nose to tail and the winning horse wins by 2 lengths, how fast is the losing horse traveling?

A. 6 feet per second
B. 7/2 feet per second
C. 3 feet per second
D. 7/3 feet per second
E. 7/6 feet per second

If 6 typists, all working at the same rate, can complete a document in 4 hours, how many hours will it take 4 typists to complete the same document?

A. 1.5
B. 2
C. 3
D. 6
E. 12

A sandwich stand in New York City sells 40 sandwiches in 1 hour. How many sandwiches do they sell in 15 minutes if they maintain the same rate?

A. 6
B. 10
C. 15
D. 25
E. 55

Two boys, Joe and Seth, can mow a lawn in 2 hours thirty minutes. If 3 other boys, Mike, Tommy and Teddy, helped, how long would it take to mow the same lawn with all of them starting at the same time?

(1) Joe mows faster than Seth.
(2) Mike, Tommy, and Teddy would finish the same lawn in 1 hour 45 minutes.

If it takes Patrick 4 hours to paint a room, how long did it take Patrick and Roger working together?

(1) It takes Roger twice as long to paint the same room.
(2) Patrick painted the room from 10 a.m. to 2 p.m.

Three hoses, x, y, and z, each pump water at a constant rate into a 70,000-gallon tank. How long will it take the hoses to fill the tank up to the 30,000-gallon mark?

(1) The 3 hoses working simultaneously can fill half the tank in 5 hours.
(2) Hose y pumps water at half the rate of x.

Pam gets on an elevator at the 12th floor of a building going up. Hilary gets on an elevator on the 63rd floor at the same time in the same building going down. At what floor will their paths cross?

(1) Pam's elevator is moving at a rate of 4 floors per second.
(2) Hilary's elevator is moving at a rate of 5 floor per second.

How long would it take for ball moving in a straight line to travel 246 meters?

(1) The ball travels 43 meters per minute.
(2) The ball completed one-fourth the trip in 78 rotations.

What is the remainder when the number 14^2*15^8 is divided by 5?

If h and j are positive integers, is j a multiple of 9?

Let x and y be two distinct digits in the decimal x.yx, what is x?

If S, P, T are there such that

At the rate of x feet per s seconds, how many miles does a cyclist tr

Four years ago, the average age of a family of 9 members was 31 years

(1/7!)-(1/8!)=?

If x and y are positive, is x+y>2xy?

Truck X is 13 miles ahead of Truck Y, which is traveling the same dire

range, median, mode

Last year Harold's average time to finish the qualifying event was

The rearmost end of a 66 foot truck exits a 330 foot tunnel exactly 6

In a horse race, the winning horse's nose crosses the finish line 6

If 6 typists, all working at the same rate, can complete a document in

A sandwich stand in New York City sells 40 sandwiches in 1 hour. How

Two boys, Joe and Seth, can mow a lawn in 2 hours thirty minutes. If 3

If it takes Patrick 4 hours to paint a room, how long did it take Patr

Three hoses, x, y, and z, each pump water at a constant rate into a 70

Pam gets on an elevator at the 12th floor of a building going up. Hila

How long would it take for ball moving in a straight line to travel 24