Puzzles Contest - 2 With Answers

[HELP]

1)[/b]. It was a beautiful sunny morning. The air was fresh and a mild wind was blowing against my wind screen. I was driving from Bangalore to Brindavan Gardens. It took me 1 hour and 30 minutes to complete the journey. .After lunch I returned to Bangalore. I drove for 90 minutes. How do you explain it?

2)[/b]. Can you name the smallest integer that can be written with two digits?

3)[/b].There are thirty-four lines that an~ tangent to a circle, and these line$ create regions in the plane. Can you tell how many. of these regions are not enclosed?

4)[/b]. Here is a multiplication:
159 x 48 = 7632
Can you see something peculiar in this multiplication? Yes, all the nine digits are different. How many other similar numbers can you think of?

5)[/b]. What is the sum of all numbers between 100 and 1000 which are divisible by 14?

6)[/b]. Multiply 21978 by 4
Now see if you can find a pair of palindromes

7)[/b] 7. 1, 3, 6, 10
Name the next three numbers in the series


8).[/b] Can you change a rupee note in such a way that there are exactly fifty coins? No 2 Paise coins

9)[/b]. SEVEN VIGINTILLION, THREE HUNDRED FORTY SIX NOVEMDECILLION, SIX HUNDRED FORTY EIGHT OCTODECILLION, FOUR SEPTEDECILLION, FIVE HUNDRED SIXTY SEXDECILLION, NINE HUNDRED EIGHTYSIXQUINDECILLION, TWO HUNDRED FIFTEEN QUATTOUR DECILLION, THREE HUNDRED FORTY EIGHT DUODECILLION, FOUR HUNDRED FORTY FOUR UNDECILLION, TWO HUNDRED EIGHTYSIX DECILLION, FOUR HUNDRED FORTY FIVE NONILLION, THREE HUNDRED AND FIVE OCTILLION, ONE HUNDRED FORTY SIX SEPTILLION, THIRTY NINE SEXTILLION; ONE HUNDRED FORTY QUINTILLION, FORTY SIX QUADRILLION, NINE HUNDRED SIXTY
TRILLION, SIX. HUNDRED SEVENTY EIGHT. BILLION, FIVE HUNDRED EIGHTY TWO MILLION, TWO HUNDRED FIFTY SIX THOUSAND AND THREE. Can you write this as a numeral?



10)[/b] . How many numbers between 400 and 600 begin with or end with a digit of 5 ?




Answers

1.There is nothing to explain here. The driving time there and-back is absolutely the same because 90 minutes and 1 hour and 30 minutes are one and the same thing.This problem is meant for inattentive readers who may think that there is some difference between 90 minutes and 1 hour 30 minutes

2..The smallest integer that can be written with two digits is not 10'as one may assume. But it is expressed as follows:
1/1 2/2 3/3 4/4 etc up to 9/9


3. 68 regi9'Os. Each new tangent increases the non -enclosed areas by two

4. One can think of at least 9 ~xamples :
39 x 186 = 7254
. 18 x 297 = 5346 28 x 157 = 4396 42 x 138 = 5796 12 x 483 = 5796 48 x 159 = 7632
4 x 1738 = 6952
27 x 198 = 5346
4 x 1963 = 7852
If you try patiently, perhaps you may come up
with some more

5. S : 112 + 126 +…………994
S - 14 (8 + 9 +………….71)
S = 14 (8 + 71) (71 - 8 + 1)
2
S = 7(79) (64) 35392




6. 4 x 21978 = 87912. The number is reversed


7. 15, 21, 28. These are triangular numbers:
1, 3, 6, )0, 15 21 28 …….n (n + 1)
2



8. 45 Paise, 2 five Paise, 2 ten Paise and 1 twenty five Paise


9. 7,346,648,004,560,986,215,348,444,286, 445, 305, 146, 039, 140, 046, 960, 678, 582,256, 003




10. Numbers satisfying the given conditions are 405, 415, 425, 435, 445, 455, 465, 475,
485, 495 and 500 to 599.
Number of such numbers = (10 + 100) = 110
Edited by: HELP

[keerthi]

1)[/b]. It was a beautiful sunny morning. The air was fresh and a mild wind was blowing against my wind screen. I was driving from Bangalore to Brindavan Gardens. It took me 1 hour and 30 minutes to complete the journey. .After lunch I returned to Bangalore. I drove for 90 minutes. How do you explain it?
Ans) both are same
1hr 30 min =90min

[keerthi]

2)[/b]. Can you name the smallest integer that can be written with two digits?
Ans)1,
1/1,2/2,3/3....9/9

3)[/b].There are thirty-four lines that an~ tangent to a circle, and these line$ create regions in the plane. Can you tell how many. of these regions are not enclosed?
Ans)68 regions
each tangent forms two open regions

[keerthi]

5)[/b]. What is the sum of all numbers between 100 and 1000 which are divisible by 14?
Ans)35392
112+126+140+...............+994
14(8+9+10+.................+71)

6)[/b]. Multiply 21978 by 4
Now see if you can find a pair of palindromes
ans)87912

7)[/b] 1, 3, 6, 10
Name the next three numbers in the series
Ans)15,21,28....
diffrence b/w no's is as follow
3-1=2
6-3=3
10-6=4
15-10=5
21-15=6
28-21=7
and so on

[keerthi]

10)[/b] . How many numbers between 400 and 600 begin with or end with a digit of 5 ?
Ans)139 5's

[raghu]

9) Here is the answer:



7 346 648 004 560 986 215 348 444 286 445 305 146 039 140 046 960 678 582 256 003.

[raghu]

I am sorry , I missed out 3 zero's before THREE HUNDRED FORTY EIGHT DUODECILLION.


9) so here is the answer:


7 346 648 004 560 986 215 000 348 444 286 445 305 146 039 140 046 960 678 582 256 003

[raghu]

8) Can you change a rupee note in such a way that there are exactly fifty coins? No 2 Paise coins.


Answer:


40 one paise coins+ 8 five paise coins+ 2 ten paise coins==> so total 50 coins.


Cross check: 40+40+20 => 1 Rupee.

[raghu]

Hi Keerthi,


10th question is about How many numbers between 400 and 600 begin with or end with a digit of 5.


The answer is 110.


From 400 to 499 there are 10.


From 500 to 599 there are 100.

[meenakshisekar]

1)


both 1nr 30 min=90 min


return in 90 min henceboth means the same

[raghu]

hi Keerthi,


I didn't understand the 2 nd answer.


Integers can be either possitive or negative.


Plz Explian. Why can't 0 or a -ve value can be the answer?

[keerthi]

hi raghu,


yes ur right.I didnt think in that way.if weconsider -ve integers also then smallest integer will be -99.


Coming to 10th question also the no of 5's are 110.I realized it after posting the answer.Actually i have counted total no of 5's.


Any ways thanks for reminding my mistakes.


keerthi.