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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. x3 × 13 = x2 × 247
    Ⅱ. y1/3 × 14 = 294 ÷ y2/3
    1. 1
    2. 2
    3. 3
    4. 4
    5. 5
Correct Option: C

As per the given above equations , we have
Ⅰ. x3 × 13 = x2 × 247

x3
=
247
x2
13

∴ x = 19
Ⅱ. y1/3 × 14 = 294 ÷ y2/3
⇒ y1/3 × y2/3 =
294
14
⇒ y1/3 × y2/3 = 21
∴ y = 21
Clearly, x < y is correct answer .



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