# Which statements are true?

1,005.7K Views

I am thinking of a 6-digit number. The sum of the digits is 43.

And only two of the following three statements about the number are true:

(1) it’s a square number,
(2) it’s a cube number, and
(3) the number is under 500000.

pnikam Expert Asked on 24th August 2015 in

Only Statements 1 and 3 are true. the number is 499849.

7072 = 499849
499849<500000

anikam Expert Answered on 24th August 2015.

• ## More puzzles to try-

• ### A,B,C ology puzzle

Astrology starts with the alphabet A. Biology starts with the alphabet B. Limnology starts with the alphabet L. Can you ...Read More »
• ### Rich man’s and gold Coin puzzle

A rich man died. In his will, he has divided his gold coins among his 5 sons, 5 daughters and ...Read More »
• ### The Square Riddle

Find the number of squares in the given picture.Read More »

• ### Sixth kid’s name

A mother gave birth to six kids. The first daughter’s name is January. The second daughter’s name is February. The ...Read More »

The Bootstrap Paradox is a paradox of time travel that questions how something that is taken from the future and ...Read More »
• ### Changing color of Sea

If you throw a red stone into the blue sea what it will become?Read More »
• ### Performance in theater

An evening theater performance is scheduled every third day. What is the maximum number of performances that can take place ...Read More »
• ### Number puzzle

Can you find a five digit number that, if you place a 1 at the beginning to make a new ...Read More »
• ### Caging The Birds

The following picture shows a cage with 6 separate rooms made up of 13 sticks for 6 birds to stay. ...Read More »
• ### How many ducks are there?

Two ducks in front of a duck, two ducks behind a duck, one duck in the middle How many ducks ...Read More »
• ### Bright and yellow

It is bright and yellow and turn on and off everyday, some say they need me but others wish that ...Read More »
• ### Most Difficult Induction Teaser

A teacher decides to give a pop quiz one day but all of her students refuse to take the quiz ...Read More »
• ### Tossing old gold coin puzzle

Two men find an old gold coin and want to have a coin toss with it to decide who gets ...Read More »
• ### Do you see the native american wearing a headdress, or the inuit wearing a fluffy coat and entering an igloo?

Do you see the native american wearing a headdress, or the inuit wearing a fluffy coat and entering an igloo?Read More »
• ### Fruit in pair

Which fruit always travels in groups of two ?Read More »
• ### Who lives Who Dies Game of Thrones riddle

In a room sit three great men, a king, a priest, and a rich man with his gold. Between them ...Read More »
• ### Keep alive Riddle

John, Tony and Jacob plans for gun fighting. They each get a gun and take turns shooting at each other ...Read More »
• ### 30th birth day today! but how?

Emma was born in 1855. She just had her 30th birth day today. How did that happen ?  Read More »
• ### Complex Appointment of lawyer puzzle

Today is Saturday. A person wants to meet a lawyer and as that lawyer is busy he asks him to ...Read More »