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Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer
( 1 ) x > y
( 2 ) x ≥ y
( 3 ) x < y
( 4 ) x ≤ y
( 5 ) x = y or the relationship cannot be established.

  1. Ⅰ.
    2 × 4
    -
    3 × 4
    = x10/7
    x4/7
    x4/7

    Ⅱ. y3 + 783 = 999
    1. 1
    2. 2
    3. 3
    4. 4
    5. 5
Correct Option: D

According to question ,we have

Ⅰ.
12 × 4
-
3 × 4
= x10/7
x4/7
x4/7
48
-
12
= x10/7
x4/7
x4/7

48 - 12
-= x10/7
x4/7

⇒ 36 = x(10/7) + (4/7) ⇔ 36 = x2
∴ x = √36 = ± 6
Ⅱ. y3 + 783 = 999
⇒ y3 = 999 - 783 ⇔ y3 = 216
∴ y = ∛216 ≤ 6
Clearly, we can say that required answer is x ≤ y .



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