Difficult Riddles
A man who was outside in the rain without an umbrella or hat didn’t get a single hair on his head wet. Why?
Answer: He was bald.
Solution:
A man told his son that he would give him $1000 if he could accomplish the following task. The father gave his son ten envelopes and a thousand dollars, all in one dollar bills. He told his son, “Place the money in the envelopes in such a manner that no matter what number of dollars I ask for, you can give me one or more of the envelopes, containing the exact amount I asked for without having to open any of the envelopes. If you can do this, you will keep the $1000.” When the father asked for a sum of money, the son was able to give him envelopes containing the exact amount of money asked for. How did the son distribute the money among the ten envelopes?
Answer: The contents or the ten envelopes (in dollar bills) should be as follows: $1, 2, 4, 8, 16, 32, 64, 128, 256, 489. The first nine numbers are in geometrical progression, and their sum, deducted from 1,000, gives the contents of the tenth envelope.
Solution: [et_pb_section fb_built="1" _builder_version="3.22" global_colors_info="{}" custom_padding="29px||8px|||"][et_pb_row use_custom_gutter="on" _builder_version="4.14.4" _module_preset="default" width="40%" width_tablet="70%" width_phone="90%" width_last_edited="on|desktop" module_alignment="center" global_colors_info="{}"][et_pb_column type="4_4" _builder_version="4.14.4" _module_preset="default" global_colors_info="{}"][et_pb_toggle title="Show Answer" open_toggle_background_color="#0ab538" closed_toggle_background_color="#0C71C3" toggle_icon="G||divi||400" open_toggle_icon="F||divi||400" _builder_version="4.14.4" _module_preset="default" title_text_color="#FFFFFF" title_level="h2" title_font="|700|||||||" title_font_size="20px" body_font="||||||||" body_text_color="#FFFFFF" body_font_size="15px" max_width_phone="25%" max_width_last_edited="off|tablet" border_radii="on|10px|10px|10px|10px" global_colors_info="{}" title__hover_enabled="off|desktop"] The contents or the ten envelopes (in dollar bills) should be as follows: $1, 2, 4, 8, 16, 32, 64, 128, 256, 489. The first nine numbers are in geometrical progression, and their sum, deducted from 1,000, gives the contents of the tenth envelope.
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Carl is trying to find solutions to a geometric puzzle. He has a square plot of land that he needs to reserve 1/4 for himself and divide the remaining 3/4 equally and in similar shape, among his 4 children. There are two possible solutions. Can you solve the puzzle?
Answer: Solution #1 - Squares First, Carl divides his as to reserve to himself one-fourth in the form of a square. Then, Carl takes the remaining 3/4 shape and scales it down by 1/4. He then, multiplies the shape into 4 identically shaped pieces, and aranges them so that they fit into the original 3/4 shape. Solution #2 - Rectangles First, create a triangle that is 1/4 the size of the square. Now, with straight lines, create two squares. Proceed to disect the two squares with horizontal lines creating 4 triangles. Then, disect one of the resultuing triangles from each square. The shape of land for each of his four children is divided evenly and is the same shape.
Solution: [et_pb_section fb_built="1" _builder_version="3.22" global_colors_info="{}" custom_padding="29px||8px|||"][et_pb_row use_custom_gutter="on" _builder_version="4.14.4" _module_preset="default" width="40%" width_tablet="70%" width_phone="90%" width_last_edited="on|desktop" module_alignment="center" global_colors_info="{}"][et_pb_column type="4_4" _builder_version="4.14.4" _module_preset="default" global_colors_info="{}"][et_pb_toggle title="Show Answer" open_toggle_background_color="#0ab538" closed_toggle_background_color="#0C71C3" toggle_icon="G||divi||400" open_toggle_icon="F||divi||400" _builder_version="4.14.4" _module_preset="default" title_text_color="#FFFFFF" title_level="h2" title_font="|700|||||||" title_font_size="20px" body_font="||||||||" body_text_color="#FFFFFF" body_font_size="15px" max_width_phone="25%" max_width_last_edited="off|tablet" border_radii="on|10px|10px|10px|10px" global_colors_info="{}" title__hover_enabled="off|desktop"] Solution #1 - Squares
First, Carl divides his as to reserve to himself one-fourth in the form of a square.
Then, Carl takes the remaining 3/4 shape and scales it down by 1/4. He then, multiplies the shape into 4 identically shaped pieces, and aranges them so that they fit into the original 3/4 shape.
Solution #2 - Rectangles
First, create a triangle that is 1/4 the size of the square.
Now, with straight lines, create two squares.
Proceed to disect the two squares with horizontal lines creating 4 triangles.
Then, disect one of the resultuing triangles from each square. The shape of land for each of his four children is divided evenly and is the same shape.
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First, Carl divides his as to reserve to himself one-fourth in the form of a square.
Then, Carl takes the remaining 3/4 shape and scales it down by 1/4. He then, multiplies the shape into 4 identically shaped pieces, and aranges them so that they fit into the original 3/4 shape.
Solution #2 - Rectangles
First, create a triangle that is 1/4 the size of the square.
Now, with straight lines, create two squares.
Proceed to disect the two squares with horizontal lines creating 4 triangles.
Then, disect one of the resultuing triangles from each square. The shape of land for each of his four children is divided evenly and is the same shape.
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A car’s odometer shows 72927 miles, a palindromic number. What are the minimum miles you would need to travel to form another?
Answer: 110 miles. (73037)
Solution: [et_pb_section fb_built="1" _builder_version="3.22" global_colors_info="{}" custom_padding="29px||8px|||"][et_pb_row use_custom_gutter="on" _builder_version="4.14.4" _module_preset="default" width="40%" width_tablet="70%" width_phone="90%" width_last_edited="on|desktop" module_alignment="center" global_colors_info="{}"][et_pb_column type="4_4" _builder_version="4.14.4" _module_preset="default" global_colors_info="{}"][et_pb_toggle title="Show Answer" open_toggle_background_color="#0ab538" closed_toggle_background_color="#0C71C3" toggle_icon="G||divi||400" open_toggle_icon="F||divi||400" _builder_version="4.14.4" _module_preset="default" title_text_color="#FFFFFF" title_level="h2" title_font="|700|||||||" title_font_size="20px" body_font="||||||||" body_text_color="#FFFFFF" body_font_size="15px" max_width_phone="25%" max_width_last_edited="off|tablet" border_radii="on|10px|10px|10px|10px" global_colors_info="{}" title__hover_enabled="off|desktop"] 110 miles. (73037)
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