PUZZLE CORNER NOVEMBER PUZZLE - 1 PUZZLE - 2 ARCHIVES  
A group of friends went on a holiday to a hill station. It rained for 13 days. But when it rained in the morning, the afternoon was lovely. And when it rained in the afternoon, the day was preceded by clear morning.
Al together there were 11 very nice mornings and 12 very nice afternoons. How many days did their holiday last?
Let's assume the number of days as follows:
Rain in the morning and lovely afternoon = X days
Clear morning and rain in the afternoon = Y days
No rain in the morning and in the afternoon = Z days
Number of days with rain = X + Y = 13 days
Number of days with clear mornings = Y + Z = 11 days
Number of days with clear afternoons = X + Z = 12 days
Solving above 3 equations, we get X = 7, Y = 6 and Z = 5
Hence, total number of days on holiday = 18 days
 
If it is given that:
25 - 2 = 3
100 x 2 = 20
36 / 3 = 2
What is 144 - 3 =?

There are 3 possible answers to it.
1st: 9
Simply replace the first number by its square root.
(25) 5 - 2 = 3
(100) 10 x 2 = 20
(36) 6 / 3 = 2
(144) 12 - 3 = 9
2nd: 11
Drop the digit in the tens position from the first number.
(2) 5 - 2 = 3
1 (0) 0 x 2 = 20
(3) 6 / 3 = 2
1 (4) 4 - 3 = 11
3rd: 14
Drop left and right digit alternatively from the actual answer.
25 - 2 = (2) 3 (drop left digit i.e. 2)
100 * 2 = 20 (0) (drop right digit i.e. 0)
36 / 3 = (1) 2 (drop left digit i.e. 1)
144 - 3 = 14 (1) (drop right digit i.e. 1)
 
(1) Aarti is older than Sanya.
(2) Muskan is older than Aarti but younger than Kashish.
(3) Kashish is older than Sanya.
(4) Sanya is younger than Muskan.
(5) Gargi is the oldest.

Who is youngest?
(a) Kashish (b) Aarti (c) Muskan (d) Sanya
Let the first letter of the name of each girl denote her age.
From (1) A > S
From (2) K > M > A
From (3) K > S
From (4) S < M
Combining these, we get : K > M > A > S
Since Gargi is the eldest, so we have G > K > M > A > S
Sanya is the youngest.
 
(1) Aarti is older than Sanya.
(2) Muskan is older than Aarti but younger than Kashish.
(3) Kashish is older than Sanya.
(4) Sanya is younger than Muskan.
(5) Gargi is the oldest.

Age wise, who is in the middle?

From above explanation, Age wise, Muskan is in the middle.
 
(1) Aarti is older than Sanya.
(2) Muskan is older than Aarti but younger than Kashish.
(3) Kashish is older than Sanya.
(4) Sanya is younger than Muskan.
(5) Gargi is the oldest.

Which of the given statements is/are superfluous and can be dispensed with while answering the above questions?

Either (1) or (3)      (b) only (4)     (c)  Either (1) or (4)   (d)  Both (3) & (4)

From (1) and (4) we have: K > M > A > S. This indicates both K > S and S < M which Are given in (3) and (4). Thus both (3) & (4) are superfluous. So answer is (d) option
 
 
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