# Which of the following statement(s) is/are true?

By Ritesh|Updated : October 31st, 2022
1. (7)450 > (9)300
2. (2)900 > (7)450

Options

1. Only I
2. Only II
3. Both I and II
4. Neither I nor II

The statement (7)450 > (9)300 is true

Statement I :

(7)450 > (9)300

9 = 32

9300 = ((3)2)300 = 3600 = 31.33x450

Again it can be written as 4.31450

9300 = 4.31450

We may readily state that because the powers of 4.31 and 7 are equal and 7 is greater than 4.31.

(7)450 > (4.31)450

⇒ (7)450 > (9)300

Statement 1 is true

Statement II: (2)900 > (7)450

2 = 32

2900 = (22 x 450) = (22)450 = 4450

We may readily state that because the powers of 4 and 7 are equal and 7 is greater than 4.

(7)450 > (4)450 ⇒ (7)450 > (2)900

Statement 2 is false

Only Statement 1 is true

Alternate,

(7)450> (9)300

(73)150 > (92)150

⇒ (343)150 > (81)150 (Right)

(2)900 > (7)450

⇒ (22)450 > (7)450

⇒ (4)450 > (7)450 (Wrong)

Summary:

## Which of the following statement(s) is/are true? (A) (7)450 > (9)300 (B) (2)900 > (7)450 (1) Only I (2) Only II (3) Both I and II (4) Neither I nor II

The statement (7)450 > (9)300 is true.