Number Puzzle #99
What is the missing number ? 7, 17, 54, ???, 1098, 6591
Check your answer:- Click here to See Explanation
(answered by mugdha)
by Vishnu 8 Comments
One person has some money in his pocket, He visits four temple on the way.
As soon as he enters a temple, his money gets double and he offers Rs. 100 in each temple. thus his pocket gets empty after he returns from the fourth temple.
How much money he had initially ?
Check your answer:-
Click here to See SolutionHideWhen he reached 1st temple his money becomes double that means 2*x or 2x. After he leaves 1st temple remaining amount is 2x-100
then after leaving 2nd temple he have [2*(2x-100)]-100 = 4x-300
then after leaving 3rd temple he have [2*(4x-300)]-100 = 8x-700
then after leaving 4th temple he have [2*(8x-700)]-100 = 16x-1500 which should be equal to 0 since he has nothing at the end
So 16x-1500=0
16x=1500
x=1500/16=93.75
OR you can reverse engineer
before the 4th temple he must be having 50, so that it doubles to 100 and offer 100 Rs.
before the 3rd temple he must be having 75 => 150 – 100 => 50 (for 4th temple)
before 2nd temple he must be having 175/2 = 87.5 => 175 -100 => 75 (for 3rd temple)
before 1st temple he must be having 187.5/2 = 93.75=> 187.5 – 100 => 87.5 (for 2nd temple)
Number Puzzle #97
B1 + B2 + B3 + B4 + B5 = 30
Fill the boxes using (1, 3, 5, 7, 9, 11, 13, 15)
You can also repeat the numbers.
This question came in UPSC Final Exams held in Dec ’13. You will be glad to note that only Gaurav Agarwal the IAS topper could solve it.
Number Puzzle #95
Objective:
Make 8 8 8 = 6
Rules:
U can use any mathematical symbol which doesn’t include any numbers.
ex:- u can use +,-,/,! etc.. but u cannot use cube roots which include a number.. and no power can be given.
Go on try it out…
Click here to See SolutionHide
8 !! is double factorial which goes as 8*6*4*2
soln by Ramesh
Arrange these numbers so that we get sum 15 by adding numbers from any direction(row, column, diagonal)
_2_|_6_|_4_
_1_|_5_|_7_
_3_|_8_|_9_
In HindiHide
Now in order to make diagonal, rows and columns sum to 15, middle element should be present in atleast 4 sequences.
There is only one numbers which is present in four sequences i.e. 5, so 5 will be the middle element.
Now corner number can be the number which is present in atleast three sequences, numbers present atleast in 3 sequences are 2, 4, 6, 8.
Numbers which are present only in two sequences can not be in corners and middle of the matrix, such numbers are 1, 3, 7, 9.
By using above logic, we can create a matrix easily.
_8_|_3_|_4_
_1_|_5_|_9_
_6_|_7_|_2_
Obviously there will be multiple possible answers by rotating the matrix.
In Big Boss, 7 people nominated 1 people each and in total 6 people were nominated.
One of the guy (Kushal) says, 1 guy was nominated twice, rest 5 were nominated once.
Do you think Kushal is right? if not what are the possibilities of nominations?
Click here to See AnswerHide Answer
Number Puzzle #94
There are 200 employees in a company. An external vendor is chosen to serve coffee twice a day. 100 coffee cups were offered by the company to the vendor but as an incentive to have the cups in tact, at the end of the day the company offered 30 paise for every cup remained safely and charged 90 paise for every broken cup. At the end of a day, the vendor received Rs. 6. How many cups did the vendor break?
Check your answer:-
Number Puzzle #93
If 8 tyres were used on a bus (with 6 tyres) which traveled 16000 km.
How many km did each tyre sustain?
Note: all the tyres were used equally in sustaining this distance.
Check your answer:-