Relation Puzzle
How is W’s husband, who is the only child of Y, whose granddaughter is X, is related to Y’s wife’s grandson?
(A)Father
(B)Son
(C)Grandfather
(D) None of these
Question of the day
Numbers – Integers
If n is an integer such that 2 ≤ n ≤ 2018 , for how many values of n is ( 1 + 1/2) ( 1 + 1/3) ( 1+ 1/4) …… ( 1 + 1/n) equal to a positive integer?
Counting
Find the total number of ways in which one can wear three distinct rings on the 5 fingers of one’s left hand, given that one is allowed to wear more than one ring on a finger.
There are five places for first ring. The second ring can be worn in 6 ways, for third ring there are 7 ways. Hence, number of ways = 5 ×6×7 = 210 ways.
See our previous ‘Questions of the Day’:
Quant Question Of The Day: 106
Quant Question Of The Day: 105
RO-HITMAN
The scorecard of Rohit Sharma in a One day match is shown in the table below.
All runs scored are in singles, doubles , threes , fours and sixes. No extras.
Strike rate = No. of runs scored / No. of balls faced
Q.. Find the minimum strike rate Rohit would have had after facing 70 balls or deliveries
A. 40 %
B. 57.82 %
C. 34.28 %
D. None of these
Since minimum strike rate is to be calculated, worst case scenario is taken into account.
Maximum Runs he scored in the last 9 balls , 4 ×6 + 3×3 = 33 runs.
Therefore, remaining 24 runs were scored in 70 balls. In other words he has to score at least 24 runs in 70 balls in order to score 57 runs in 79 balls. Thus minimum strike rate = 24/70 = 34.28%.
See our previous ‘Puzzles of the Day’:
Numbers
‘n’ is a 2-digit number. Find the number of possible values of n for which n³ -2n² -51n +737 is divisible by 169.
n³ – 2n² – 51n + 737
= (n + 4)(n + 3)(n – 9) + 845
845 = 169×5
So, for the expression to be divisible by 169, (n + 4)(n + 3)(n – 9) should be divisible by 169
=> Either (n + 3) is divisible by 169 or (n + 4) is divisible by 13
So, n – 9 = 13, 26, 39, 52, 65, 78
=> n can be 22, 35, 48, 61, 74 and 87
So 6 possible values.
See our previous ‘Questions of the Day’:
Secret Documents
A businessman in one city needs to send secret documents to his business associate in another city. There are spies trying to get hold of these documents. The documents need to be sent in a case. If the documents are sent in an unlocked case then the documents will be stolen. Anything else in an unlocked case will also get stolen. Both of them have many locks and many cases. Neither of them has the keys to the other person’s locks. How does the businessman send the documents?
The businessman puts the documents in the case, locks it and sends the case to his associate. He keeps the key to the lock with himself. The business associate, when she receives the case, puts her own lock on the case (in addition to the lock already on it) and sends it back. She also keeps the key to her own lock with herself. When the businessman gets the case, he removes his own lock and sends the case back. Once the associate receives the case again, she can unlock it with her key and retrieve the documents.
See our previous ‘Puzzles of the Day’:
Numbers – Factorials
35! has 41 digits when written out can be printed as a diamond read row by row . What is the missing center digit ?
Since 35! is divisible by 9, so sum of digits should be a multiple of 9 .
1 + 0 + 3 + 3 + 3 + 1 + 4 + 7 + 9 + 6 + 6 + 3 + 8 + 6 + 1 + 4 + 4 + 9 + 2 + 9 + x + 6 + 6 + 6 + 5 + 1 + 3 + 3 + 7 + 5 + 2 + 3 + 2 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0
138 + x should be a multiple of 9.
therefore , x = 6 .
See our previous ‘Questions of the Day’:
Tic-Tac-Toe
The game of Tic-Tac-Toe is played in a large square divided into nine small squares.
[1] Each of two players in turn places his or her mark – usually X or O _ in a small square.
[2] The player who first gets three marks in a horizontal, vertical and diagonal line wins.
[3] A player will always place his or her mark in a line that already contains (a) two of his or her own marks or (b) two of his or her opponent’s marks – giving (a) priority over (b)
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