RRB NTPC Algebra and Geometry 2

Question 1

If one angle of a parallelogram is 60°, what is the adjacent angle?

Accepted Answer

120°

Answer

Adjacent angles of a parallelogram are supplementary (sum = 180°). Adjacent angle = 180° - 60° = 120°.

Question 2

Solve for x: 3x/4 - 2 = 7

Accepted Answer

12

Answer

3x/4 - 2 = 7 → 3x/4 = 9 → 3x = 36 → x = 12.

Question 3

What is the volume of a cube with side 5 cm?

Accepted Answer

125 cm³

Answer

Volume of cube = side³ = 5³ = 125 cm³.

Question 4

The factorization of x² - 9 is:

Accepted Answer

(x + 3)(x - 3)

Answer

x² - 9 = x² - 3² = (x + 3)(x - 3), using the difference of squares identity a² - b² = (a+b)(a-b).

Question 5

The circumference of a circle is 44 cm. What is its radius? (Use π = 22/7)

Accepted Answer

7 cm

Answer

Circumference = 2πr → 44 = 2×(22/7)×r → 44 = 44r/7 → r = 7 cm.

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