Explanation

Given the statements:

A is taller than B

B is taller than C

We can conclude the height order is:

A > B > C

 Therefore, the tallest is: A

Explanation

To determine which sequence is similar to the given sequence 77677: 76767: 77767,

we need to identify the pattern and match it to one of the provided options.

Pattern in the Given Sequence (77677: 76767: 77767):

The first sequence (77677): The digits are primarily "7," with the fourth digit being "6."

Second sequence (76767): The digits are primarily "7," with the third digit being "6."

Third sequence (77767): The digits are all "7" except for the fourth digit, which is "6."

7677: 76767: 77767

First sequence: 7677 (no similarity in length and pattern).

Second sequence: 76767 (similar to the second sequence of the given pattern).

Third sequence: 77767 (similar to the third sequence of the given pattern).

Conclusion:

Option 4 (7677: 76767: 77767) is the sequence most similar to the original sequence 77677: 76767: 77767,

as it maintains the same pattern in the second and third sequences, with the only difference being the length of the first sequence.

Explanation

Let's analyze the words:  

- End

- ORE

- Lend

Explanation

From "BOY" = 539  

So:  

- B = 5  

- O = 3  

- Y = 9  

From "GIRL" = 8627  

So:  

- G = 8  

- I = 6  

- R = 2  

- L = 7  

Now code GLORY using these values:  

- G = 8  

- L = 7  

- O = 3  

- R = 2  

- Y = 9  

So, GLORY = 87329

Explanation

 The letter E appears once in the word "tea"  

- It appears twice in "coffee"  

- It does not appear in "milk."  

So, the riddle is about letters, not actual ingredients.

Explanation

Semi was 21 years old in 1945.

The number of years from 1945 to 1965 is 20 years.

21 + 20 = 41

Explanation

Raza is ranked ninth from the top. That means there are 8 students above Raza.

Raza is 38th from the bottom. That means there are 37 students below him.

So total students 8 + Raza + 37 = 46 students

Explanation

The word ARTICLE has 7 letters:  

A, R, T, I, C, L, E  

Vowels = A, I, E (3 vowels)  

Consonants = R, T, C, L (4 consonants)  

Even positions in a 7-letter word: 2, 4, 6 → 3 even positions  

Step 1:

Place vowels in even positions  

We have 3 vowels and 3 even positions  

→ Number of ways = 3! = 6

Step 2:

Place consonants in the remaining 4 positions  

→ Number of ways = 4! = 24

Step 3:

Total number of words = 3! × 4! = 6 × 24 = 144

Explanation

We are given:

(x - 3)(x - 4) = 1

Step 1: Expand the left-hand side:

(x - 3)(x - 4) = x² - 7x + 12

So the equation becomes:

x² - 7x + 12 = 1

Step 2: Bring all terms to one side:

x² - 7x + 11 = 0

Step 3: Use the quadratic formula:

x = [7 ± √(49 - 44)] / 2  

x = [7 ± √5] / 2

Final Answer:

x = (7 ± √5)/2

Explanation

Divisible by 2 → Yes

Divisible by 5 → Yes

Divisible by 10 → Yes

So 3200 is divisible by 2, 5, and 10.