If n is a positive integer and n^2 is divisible by 72, then the largest positive integer that must divide n is
Here’s an exponents puzzle that comes up a lot in GMAT tutoring sessions:
If the 4 letters are to be put into the 4 envelopes at random, what is the probability that only 1 letter will be put into the envelope with its correct address? For each letter, she prepared an envelope with its correct address. Tanya prepared 4 different letters to be sent to 4 different addresses.
A FORTY FOOT ROPE WAS CUT INTO TWO PIECES INTO 2 PIECES HOW TO
We’ll take a look at how to do that in the explanation: With combinatorics it’s important to stay practical. This one often gets GMAT tutoring students caught up in a tangled net. Tanya’s letters from the GMAT Prep tests. If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p? Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. Almost no-one gets this one on the first try but there is a somewhat simple way through it: Here’s a tough function question from the GMAT Prep tests 1 and 2:įor which of the following functions is f(a+b) = f(b) + f(a) for all positive numbers a and b?Īnd a very challenging word problem from the Official Guide. Here are a few other extra challenging GMAT questions with in depth explanations: What is the length of each piece?Ī rope 2.82 m long is divided equally into six pieces.You’ll find tons of practice questions, explanations for GMAT Official Guide questions, and strategies on our GMAT Question of the Day page. FinĪ piece of wire that is 5.8 m long is to be cut into 15 pieces of the same length. Similarly, the third and the fourth piece are the same lengths if the fourth piece is quadruple the difference between the first piece and 10 cm. The first piece and the second piece are the same lengths. What will be the greatest length of each piece?Ī 37-centimeter board is cut into four pieces. Two pieces of cloth 15 and 20 meters long are to be cut into small pieces of equal lengths. What will be the final length of each piece? Next, you cut the rod into six equal pieces. You cut 1/64 inches from one end and 1/32 inches from the other end. You have a metal rod that's 51/64 inches long. One of those pieces was 5 2/3 meters long. If each part is ¼ m, find the number of pieces.Ī carpenter had a 10-meter piece of lumber from which he cut into two pieces. How many pieces does he have if he cuts it into pieces that are each 3/5 of a unit long?įrom a rope of 200 m, pieces of equal sizes are cut. Shane has a piece of rope that is 7 4/5 units long. His dog bit and cut off 1 ½ foot of the rope. How many pieces can be cut from the wire? How long are the three pieces together?Ī 5/6 meter wire is to be cut into pieces that are 1/12 meter long. Three scouts brought three pieces of rope of lengths five and three fourth meters, six and two third meters, and five and five eight meters to their camps. How many pieces can be made from the pipe? It needs to be cut into pieces that are each 3/5 feet long. How many pieces did he have?Ī pipe is 30 feet long. Louis has a rope 9 m long he cut into several pieces that measure 1 1/8 m long each. What will be the length of each piece in centimeters? (100 cm = 1 m) Allowing 1 cm for total waste in cutting, what is the length of the remaining piece?Ī rope that is 6 meters long will be cut into 24 pieces that are all the same length. 19.62 cm, 32.49 cm, and 24.74 cm are cut from a board that is 200 cm long. Find the length of the remaining rope.įour pieces measure 29.5 cm. Two pieces of length 12/5 m and 23/9 m are cut from a rope of length 13 m. Find the length of the remaining piece of rope. From a rope of length 18 3/4 m, two smaller pieces of lengths 5 m and 7 1/2 m are cut out.
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