Solution:

7 AM

Explanation:
Train A covers 20x3 km i.e. 60 kms in 3hrs and
Train B covers 25x2 km i.e. 50 kms in 2hrs => total of 110kms

Solution:

20

Explanation:
correct + wrong = 30
3correct-2wrong = 40

=>3correct-60+2correct = 40
=>5correct = 100
=>correct = 20 & wrong = 10

Solution:

15

Explanation:
30/1 = t/a ---- Current teenagers to adults ratio
t+50/a+5 = 25/1 ---- Future teenagers to adults ratio
Solving the first equation for t gives t = 30t.
Substitute this value of t into the second equation, and solve for t.
t+50/a+5 = 25/1
30a + 50 = 25a + 125 multiply both sides by a+5
5a = 75 simplify by subtraction
a = 15

Solution:

14.4 cms

Explanation:
Area of Square = Area of Rectangle
Side square = l*b
6 square = X(2.5)
36 = X(2.5)
X=14.4 cms.

Solution:

24 times is the most common answer however that is completely wrong. The right answer will be 22 times.

Let us prove it by some simple mathematics.
Assume that it takes T hours for the minute hand to complete T laps. The hour hand will complete T/12 Laps in the same time.

Consider the situation when the hour hand and the minute hand will overlap for the first time; the minute hand would have completed one lap extra than the hour hands.
Thus, T =T/12 + 1

Considering the above expression we know that the first overlap will take place after t = 12/11 hours i.e. 1:05 am.

Similarly, the second overlap will take place when the minute hand would have completed two more laps than the hour hand.

Considering there are X laps,
T = T/12 + X

Everyone knows that a day comprises of 24 hours. Putting that in the equation we get
24 = 24/12 + X
Solve it and you will get
X = 22

Hence both of the hands will overlap 22 times in 24 hours.

Let us give you with those exact timings as well.
The hands will overlap at 12:00, 1:05, 2:10, 3:15, 4:20, 5:25, 6:30, 7:35, 8:40, 9:45, and 10:50. Do consider the fact that there will be no 11:55. It becomes 12:00.

Solution:

There are many ways in which you can think a solution for the problem. Your approach should be to minimize the efforts. What if you took out one candy from the box labeled Peach and Grape?

What you have to consider is the fact that every box is labelled incorrectly. Thus if you pick a candy from the box labelled with Peach and Grape, it is evident that the box will not have a mixture of both (as it is labelled wrong). Thus you will get to know which candies are present in that box.

Suppose the candy you take out turns out to be peach flavored, then the box labeled as Grapes is the one which contains a mixture of both peach and grapes. This is because it is labelled incorrectly and since we have already figured out the box with Peach candies, we can be confident of the fact. And then the jar labelled as peach will be the one containing grape flavored candies.

If the candy you take out from the mixed labeled box is Grape flavored, you can use the same logic to find out the rest.

Consider picking a candy from the other two boxes instead of what is told in the solution and you will find out that you will have to take out a candy from each of the boxes before being sure.

Solution:

Before you start running your mind in various directions, do consider the fact that no matter the fruit is dry or fresh, the fruit content will remain the same.

Now we have been informed that the water contents in a fresh fruit is 68% which means that the remaining 32% is the actual fruit content.
The dry fruits has 20% water contents and thus the remaining 80% is the fruit content.

Now let us assume that the weight of the fruits when they are dry is x kg.

Fruit content % when fresh = Fruit content % when dry

32/100 * 100 = 80/100 * x
X = 40

Which means that the fruit pulp is 40 Kg.

Thus with the water total amount = 40*100/80 = 50 Kg

Solution:

Let the age of Camilla = x
Then the age of Bella will be 2x
And the age of Anna will be 2x + 2

Now according to the question
(2x + 2) + 2x + x = 27
5x = 25
x = 5

Thus the age of Camilla is 5 years

Age of Bella = 2x = 2*5 = 10 years.

Solution:

What we already know is that Sn = n (n+1)/2
What we are provided in the question is that
S2n = 3Sn
=> 2n (2n+1)/2 = 3n (n+1)/2
=> 2 (2n+1) = 3 (n+1)
=> 4n+2 = 3n+3
=> n = 1
Thus, S3n/Sn = [3n (3n+1)/2]/[n (n+1)/2] = 3*4/1*2 = 6

Which means that option c is correct.

Solution:

Let x be the length of the room
Then according to the question, width will be x/2

As per the question
{(x*x/2)-(x-6) (x/2-6)}=108
9x =144
x=16

Thus the length of the room is 16.