Solution and detailed explanation :

Here the given relationship is x : x2
So for 2, we get 4

And for 25, we get 25² = 625

Solution and detailed explanation :

In the set, the numbers are connected by the relation of sum of the individual digits.

So 3 + 6 + 3 = 12 = 1 + 2 = 3
4 + 8 + 9 = 21 = 2 + 1 = 3
5 + 7 + 9 = 21 = 2 + 1 = 3

So the option which satisfies the given condition is : 471

The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. what is the age of youngest child ?

Solution and detailed explanation :

If the age of the youngest child is x years, then the ages of the other children would be (x + 3), (x + 6), (x + 9) and (x + 12).

Based on the information provided, we have
x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50

Solving this equation, we get the value of x = 4.

This means that the age of the youngest child is 4 years.

Using the given relationship, complete the sequence :
25 : 37 :: 49 : __

Solution and detailed explanation :

Here the given relation is x² : (x+1)² + 1
which is
5² = 25 : (5+1)² + 1 = 36 + 1 = 37

So following the same pattern we get the answer 49 : 65

Solution and detailed explanation :

In the set, the numbers are connected by the relation of sum of first and last digit subtracted by middle digit = 10

5 + 8 - 3 = 10
7 + 5 - 2 = 10
8 + 3 - 1 = 10

So the answer which satisfies this condition is : 219

Identify the pattern and encode the given word :

CAT : DDY :: BIG : __

Solution and detailed explanation :

The first, second and third letter are moved 1, 3 and 5 places respectively to get the new word.

So following the same pattern, we get the new answer as :
CLL

Solution and detailed explanation :

All numbers other than 15 are prime numbers

Solution and detailed explanation :

In all the other words, the middle letter is a vowel.

Identify the pattern and encode the given word :

LOGIC : BHFNK :: CLERK : __

Solution and detailed explanation :

The order of the letters in the first group is reversed and each letter is moved one step backward to obtain the result.

SO CIGOL and moving all letters one step ahead BHFNK.

So following the same pattern, we will get the solution as :

JQDKB

Hello Folks
It is about time we asked about your opinions about the quality of questions and you suggestions or general comments about the channel.

It is very important for us to know about the opinion of our subscriber base as it drives the growth of the channel. If you finding the work done on the channel good, fun to solve or engaging then do share the channel as it is needed to grow.

If after quite a long time if the channel does not give good enough performance then we are bound to redirect the efforts behind the channel to other channels.

So do let us know you opinions !

Hey folks 👋,

after more than 2 years we are continuing with logic quest. 🤯
Based on your feedback and engagement we will decide whether we should continue or not. Here is your first quest: 👇


Four suspects: A, B, C, D.
Only one is guilty.

A says: "B is guilty."
B says: "C is guilty."
C says: "D is innocent."
D says: "A is lying."

Assume exactly one statement is true, the rest are lies.
Who is guilty ❓

Solution and detailed explanation :

Let’s label the statements:

* A: “B is guilty.”  → true iff B is guilty
* B: “C is guilty.”  → true iff C is guilty
* C: “D is innocent.” → true iff D is not guilty
* D: “A is lying.” → true iff A’s statement is false (so iff B is not guilty)

Test each possible guilty person:

* If A is guilty:
  A false, B false, C true, D true → 2 true (not allowed)
* If B is guilty:
  A true, B false, C true, D false → 2 true
* If C is guilty:
  A false, B true, C true, D true → 3 true
* If D is guilty:
  A false, B false, C false, D true → exactly 1 true

So the only case that fits is:

D is guilty.