Algebra Set -1 -

1. A square and a cube have equal surface areas.

Quantity I. 2×radius of sphere

Quantity II. Side of a cube

a) Quantity I > Quantity II

b) Quantity I≥ Quantity II

c) Quantity I≤ Quantity II

d) Quantity I < Quantity II

e) Quantity I = Quantity II

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2. Area of circle is 220 〖cm]2.

Quantity I. The area of square inscribed in this circle

Quantity II. 3πr

a) Quantity I > Quantity II

b) Quantity I≥ Quantity II

c) Quantity I≤ Quantity II

d) Quantity I < Quantity II

e) Quantity I = Quantity II

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3. x²=3969 and y=3969

Quantity I = x+y

Quantity II = x-y

a) Quantity I = Quantity II

b) Quantity I≥ Quantity II

c) Quantity I≤ Quantity II

d) Quantity I < Quantity II

e) Quantity I > Quantity II

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4. Quantity

3x² y+4x³ y

Quantity

4x² y+3x³ y

If x>0 and y<0

a) Quantity I > Quantity II

b) Quantity I≥ Quantity II

c) Quantity I≤ Quantity II

d) Quantity I < Quantity II

e) Quantity I = Quantity II or cannot be determined

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5. Quantity

9x³ y

Quantity

27x⁵ y⁵

If x<0, y>0

a) Quantity I > Quantity II

b) Quantity I≥ Quantity II

c) Quantity I≤ Quantity II

d) Quantity I = Quantity II

e) Quantity I < Quantity II

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Correct Answer (A)
Explanation
x value always should be negative and y value always should be positive.
In the equation x power has odd number.
So always the equations have negative value.
Example: x= -1 and y = 1
I. -9
II -27
Quantity I > Quantity II


D.6-10) In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer

6. I. x² + 11x – 180 = 0

II.y² + 21y + 104 = 0

a) x > y

b) x< y

c) x ≥ y

d) x ≤ y

e) x = y or relation cannot be established

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7. I. x² – 30x + 104 = 0

II.y² – 29y + 208 = 0

a) x > y

b) x< y

c) x ≥ y

d) x ≤ y

e) x = y or relation cannot be established

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8. I. x² – 47x + 496 = 0

II. y² – 36y + 224 = 0

a) x > y

b) x< y

c) x ≥ y

d) x ≤ y

e) x = y or relation cannot be established

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9. I. x² - 38x + 345 = 0

II.y² – 29y + 208 = 0

a) x > y

b) x< y

c) x ≥ y

d) x ≤ y

e) x = y or relation cannot be established

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10. I. x² + 30x + 221 = 0

II.y² – 53y + 196 = 0

a) x > y

b) x< y

c) x ≥ y

d) x ≤ y

e) x = y or relation cannot be established

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