Explanation

By standard land measurement,  

1 Gunta = 121 square yards  

This is a fixed conversion, so no calculation is required.

***

The gunta or guntha is a measure of area used in the Indian subcontinent, predominantly used in some South Asian countries

Explanation

1 Gunta = 101.171 square meters (standard land measurement)  

Explanation

1 gross = 12 dozen  

1 dozen = 12 articles  

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

Explanation

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

Given ages = 10 and 20 → Sum = 30

Third age = 45 − 30 = 15

Explanation

Aₙ = a + n × d, where d = common difference  

Here, A₁ = a + d, A₂ = a + 2d, ..., b = a + (n+1)d

So,  

Aₙ = a + n × [(b − a)/(n + 1)]

Explanation

0 (since the square of a prime number is not prime)

A prime number is a positive integer greater than 1 that has no positive divisors other than 1 and itself.

The square of a prime number is not prime because it has at least three divisors: 1, the prime number, and the square itself.

Explanation

When two dice are rolled, there are 36 possible outcomes

The outcomes that result in a sum of 7 are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1), which are 6 in total.

So, the probability of getting a sum of 7 is 6/36 = 1/6.

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

To find the Arithmetic Mean (Average):

Add the numbers: 10 + 20 + 30 + 40 + 50 = 150

Count the numbers: 5

Divide the sum by the count: 150/5 = 30

Explanation

The mode is the value that appears most frequently in the data set.

In the given data set (3, 5, 7, 8, 9), each value appears only once.

Since no value appears more than once, there is no mode.