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  • Question
  • 5 Digits Number? What 5-digit number has the following features: If we put the numeral 1 at the beginning, we get a number three times smaller than if we put the numeral 1 at the end of the number.


  • Correct Answer
  • We can make an equation: 3(100000 + x) = 10x+1 (Why? Well, adding 100000 puts a 1 at the front of a five-digit number, and multiplying by 10 and adding 1 puts a 1 at the end of a number) Solving this gives: 10x+1 = 3(100000 + x) 10x+1 = 300000 + 3x 10x = 299999 + 3x 7x = 299999 x = 299999/7 = 42857 The answer is 42857 (142857 is three times smaller than 428571) 

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    Number Puzzles problems


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    • 1. Find a 10-digit number, where the first figure defines the count of zeros in this number, the second figure the count of numeral 1 in this number etc. At the end the tenth numeral character expresses the count of the numeral 9 in this number.
    • Discuss
    • 2. If 1 1 1 1 = R 2 2 2 2 = T 3 3 3 3 = E 4 4 4 4 = N Then 5 5 5 5 = ?

    • Options
    • A. Y
    • B. Z
    • C. T
    • D. X
    • Discuss
    • 3. 111 13 112 24 113 35 117 ?

    • Options
    • A. 46
    • B. 57
    • C. 68
    • D. 79
    • Discuss
    • 4. What mathematical symbol can be placed between 5 and 9, to get a number greater than 5 and smaller than 9?
    • Discuss
    • 5. Can you arrange 9 numerals - 1, 2, 3, 4, 5, 6, 7, 8 and 9 [using each numeral just once] above and below a division line, to create a fraction equaling to 1/3 [one third]?
    • Discuss
    • 6. Using the four letters below only, create a seven letter word. UMNI
    • Discuss
    • 7. Solve the below puzzle Complete the five words below in such a way that the two letters that end the first word also start the second word, and the two letters that end the second word also start the third word etc. The same two letters that end the fifth word also start the first word, to complete the cycle ** IV ** ** OT ** ** IC ** ** NG ** ** RA **
    • Discuss
    • 8. In the below puzzle, a word starts and ends with the same letter. Can you figure out what the word is? _rus_
    • Discuss
    • 9. In the below puzzle, there are 2 double blanks. Fill in the blanks with the same pair of letters to complete an English word. For example, use the letter-pair ac in b__kp__k to make the word backpack _ _ s _ _ de
    • Discuss
    • 10. 11 letter Indian city is I am Hints :: 2,4,10 is a Unit of Length . Last 6 letters is a Fruit Name. 9,5,3 is a Soap Name. 1,8,3 is used by a Student 7,8,3 letters is a Bird Name. 6,7,5,3 is an organ in the Face. From the above given Hints Find that Indian City Name?
    • Discuss


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