Search found 11 matches


Milk Man

A milkman adds 5 liters of water to a certain quantity of pure milk costing $3 per liter. He sells the mixture at the same price as before and makes a 20% profit. What is the percentage milk in the mixture?

A. 83.33
B. 93.33
C. 73.33
D. 55
E. 68

by mattocks

Sat Jul 24, 2010 6:47 am
Forum: Problem Solving
Topic: Milk Man
Replies: 3
Views: 1523

A circle is circumscribed about an equilateral triangle of side 'a'. The diameter of the circle is?

A. a*root3
B. a/root3
C. 2a/root3
D. 2*root3(3a)
E. 3root3(a)

by mattocks

Mon Jul 19, 2010 4:09 pm
Forum: Problem Solving
Topic: Right triangle problem
Replies: 8
Views: 2121

Right triangle problem

For right triangle RST, RS and RT are legs and RT+RS=12. ST is hypotenuse with length 10. What is the area of the right triangle?

A) 24
B) 11
C) 15
D) 2*sqrt(30)
E) 12

by mattocks

Sun Jul 18, 2010 10:19 am
Forum: Problem Solving
Topic: Right triangle problem
Replies: 8
Views: 2121

Missing digits

7x
xy
xx
__

117

The above represents addition with x and y representing certain digits. What is the value of y?

A. 1
B. 2
C. 3
D. 4
E. 5

by mattocks

Sun Jul 18, 2010 8:29 am
Forum: Problem Solving
Topic: Missing digits
Replies: 2
Views: 1067

Difficult Work/Rate Problem

13 men and 7 boys can finish a job in 7 days, while 6 boys and 13 women can finish the same job in 6 days. In how many days can 1 man, 1 boy, and 1 woman working together finish the same job (assume constant rates for each men, women, and boys)?

A) 42
B) 54
C) 21
D) 63
E) 24

by mattocks

Tue Jul 13, 2010 3:58 pm
Forum: Problem Solving
Topic: Difficult Work/Rate Problem
Replies: 5
Views: 5889

If the square root of the product of three distinct positive integers is equal to the largest of the three numbers, what is the product of the two smaller numbers? (1) The largest number of the three distinct numbers is 12. (2) The average of the three numbers is 20/3 (1) is sufficient. If the large...

by mattocks

Sun Jul 11, 2010 10:45 am
Forum: Problem Solving
Topic: Difficult Exponents Problem
Replies: 7
Views: 2348

Great explanation. Thank you ! I have one more...

If x and j are integers and (12^x)*(4^2x+1)=(2^j)*(3^2), what is the value of j?

A) 5
B) 7
C) 10
D) 12
E) 14

So 4^2x+1 = (2^2)^2x+1 = 2^4x+2. Can set 4x+2 = j. I'm not sure what do do with 12^x. Any suggestions?

by mattocks

Sun Jul 11, 2010 9:24 am
Forum: Problem Solving
Topic: Difficult Exponents Problem
Replies: 7
Views: 2348

Difficult Exponents Problem

If x=10^100 and x^x=10^k, k=?.

A) 10^5
B) 10^102
C) 10^99
D) 10^200
E) 10^98

I'm really not sure how to attack this problem. Any suggestions would be greatly appreciated.

by mattocks

Sun Jul 11, 2010 8:50 am
Forum: Problem Solving
Topic: Difficult Exponents Problem
Replies: 7
Views: 2348

Venn Diagram Problem

All coffee mixtures sold in a store contain Colombian, Jamaican or Brazilian coffee or some combination of these. Of all mixtures, 33 contain Colombian coffee, 43 contain Jamaican coffee and 42 contain Brazilian coffee. Of these, 16 contain at least Colombian and Jamaican coffee. 18 contain at least...

by mattocks

Sun Mar 28, 2010 11:30 am
Forum: Problem Solving
Topic: Venn Diagram Problem
Replies: 2
Views: 1940

Difficult Work/Rate Problem

Can someone explain the best way to approach this problem? It takes machine A x hours to manufacture a deck of cards that machine B can manufacture in 1/x hours. If machine A operates alone for y hours and is then joined by machine B until 100 decks are finished, for how long will the two machines o...

by mattocks

Sun Mar 28, 2010 11:27 am
Forum: Problem Solving
Topic: Difficult Work/Rate Problem
Replies: 2
Views: 4544

Difficult Work/Rate Problem

Can someone explain the best way to solve this problem? 13 men and 7 boys can finish a job in 7 days, while 6 boys and 13 women can finish the same job in 6 days. In how many days can 1 man, 1 boy and 1 woman working together finish the same job (assume constant rates each for men, women, and boys)?...

by mattocks

Sun Mar 28, 2010 11:23 am
Forum: Problem Solving
Topic: Difficult Work/Rate Problem
Replies: 6
Views: 3814