Number Puzzles problems
- 1. 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
Correct Answer: Answer
- 2. What mathematical symbol can be placed between 5 and 9, to get a number greater than 5 and smaller than 9? Discuss
Correct Answer: decimal point [ie, 59]
- 3. 111 13 112 24 113 35 117 ?
Options- A. 46
- B. 57
- C. 68
- D. 79 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 79
Explanation:
The given puzzle follows a pattern that,
Number - <last digit> <sum of all digits>.
111 - 13
112 - 24
113 - 35
So
117 - 79
- 4. 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 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, TOEFL, Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer, Network Engineer
Correct Answer: Y
Explanation:
If you add all the terms of the LHS of equality, then the last letter of the sum written in words would give you the RHS.
1 + 1 + 1 + 1 = 4 = FOUR
2 + 2 + 2 + 2 = 8 = EIGHT
3 + 3 + 3 + 3 = 12 = TWELVE
4 + 4 + 4 + 4 = 16 = SIXTEEN
So, following the same pattern.
5 + 5 + 5 + 5 = 20 = TWENTY
That gives us our answer to 5 5 5 5 = "Y".
- 5. 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
Correct Answer: Sum of all numerals must be ten because each numeral stands for the count of other numerals and because this number shall have ten numerals Beginning to choose reasonable numerals for the first figure you can come across the correct number: 6210001000
- 6. 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. Also asked in: Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer, Project Manager
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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