GED102-B10
Problem Set No. 1
Mathematics in the Modern World
1. Alice, Ben and Carl collect stamps. The exchange stamps among themselves
according to the following scheme: Alice gives Ben as many stamps as Ben has and
Carl as many stamps as Carl has. After that, Ben gives Alice and Carl as many
stamps as each of them has, and then Carl gives Alice and Ben as many stamps as
each has. If each finally has 64 stamps, with how many stamps does Alice start?
Answer: Alice has 64 stamps to begin with.
Solution:
Alice=64 gives to Ben and Carl so, Ben=32 and Carl 32
2. Solve the following cryptarithms. In each problem, letters represent a single digit
only.
a. (HE)2 = SHE
(15)^2=225
b. WRONG
+ WRONG
------------------ 1
RIGHT
Let W=2 H=3 I=9 N=6 O=7 R=4 T=0 G=5
24765+24765=49530
3. How many squares of all sizes are in an 8x8 checkerboard?
1 x 5 rectangles = 4 * 8 = 32. 1 x 6 rectangles = 3 * 8 = 24. 1 x 7 rectangles = 2 * 8
Answer: There are 16 square sizes in 8x8 checkerboard
4. In order to encourage his son in the study of algebra, a father promised the son P8
for every problem solved correctly and to fine him P5 for each incorrect solution.
After 26 problems, neither owed anything to the other. How many problems did the
boy solve correctly?
Problem Set No. 1
Mathematics in the Modern World
1. Alice, Ben and Carl collect stamps. The exchange stamps among themselves
according to the following scheme: Alice gives Ben as many stamps as Ben has and
Carl as many stamps as Carl has. After that, Ben gives Alice and Carl as many
stamps as each of them has, and then Carl gives Alice and Ben as many stamps as
each has. If each finally has 64 stamps, with how many stamps does Alice start?
Answer: Alice has 64 stamps to begin with.
Solution:
Alice=64 gives to Ben and Carl so, Ben=32 and Carl 32
2. Solve the following cryptarithms. In each problem, letters represent a single digit
only.
a. (HE)2 = SHE
(15)^2=225
b. WRONG
+ WRONG
------------------ 1
RIGHT
Let W=2 H=3 I=9 N=6 O=7 R=4 T=0 G=5
24765+24765=49530
3. How many squares of all sizes are in an 8x8 checkerboard?
1 x 5 rectangles = 4 * 8 = 32. 1 x 6 rectangles = 3 * 8 = 24. 1 x 7 rectangles = 2 * 8
Answer: There are 16 square sizes in 8x8 checkerboard
4. In order to encourage his son in the study of algebra, a father promised the son P8
for every problem solved correctly and to fine him P5 for each incorrect solution.
After 26 problems, neither owed anything to the other. How many problems did the
boy solve correctly?
