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

5, _, _, _, 25

There are 5 terms. Let's find the common difference:

d = 25-5/4 = 20/4 = 5

The sequence is:

5 + 5 = 10

10 + 5 = 15

15 + 5 = 20

20 + 5 = 25

The sequence is 5, 10, 15, 20, 25

The second arithmetic mean is 15.

Explanation

The pattern of the series is obtained by adding 2, 2, 4, 18, ... (doubling the previous increment and adding 2).

2 + 2 = 4

4 + 2 = 6

6 + 4 = 10

10 + 18 = 28

28 + 54 = 82

Explanation

Mean = Total sum ÷ 3 → Total = 15 × 3 = 45

Given ages = 10 and 20 → Sum = 30

Third age = 45 − 30 = 15

Explanation

Finding the pattern:

6−4=2

9−6=3

13−9=4

The differences between consecutive numbers are +2, +3, +4.

Following this pattern, the next difference should be +5.

So, 

13+5=18.

Explanation

Gaj is a traditional unit of length commonly used in parts of South Asia.  

1 Gaj = 1 Yard (exactly).

Explanation

Explanation

1 gross = 12 dozen  

1 dozen = 12 articles  

So, 12 × 12 = 144 articles in 1 gross.

Explanation

Given the sequence 3, 11, 19, 27:

Step 1: Identify the pattern

The common difference between each term is 8 (11 - 3 = 8, 19 - 11 = 8, 27 - 19 = 8).

Step 2: Calculate the 11th term

The nth term of an arithmetic sequence can be found using the formula: an = a1 + (n - 1)d, where a1 is the first term and d is the common difference.

For the 11th term:

a11 = 3 + (11 - 1) * 8

a11 = 3 + 10 * 8

a11 = 3 + 80

a11 = 83

Explanation

spring (March, April, May),

summer (June, July, August),

Autumn (September, October, November)

and winter (December, January, and February).

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ND04-12-2022

ND23-6-2023