# Aptitude Mensuration Mcq Pdf Model Questions & Answers, Practice Test for ibps rrb so officer sclae 2 3 single exam 2024

#### ibps rrb so officer sclae 2 3 single exam 2024 SYLLABUS WISE SUBJECTS MCQs

Question :1

In the figure given above, ABCD is a square in which AO = AX What is ∠XOB ?

Let ∠XOB = θ

In ΔOXB,

∠XOB + ∠OBX + ∠OXB = 180°

⇒ θ + 45° + ∠OXB = 180°

⇒ ∠OXB= 180° – 45° – θ

⇒ ∠OXB= 135° – θ

Here, ∠OXA + ∠OXB = 180°

⇒ ∠OXA + 135° – θ = 180°

⇒ ∠OXA= 45° + θ

In ΔOAX,

AO = AX

∴ ∠OXA= ∠AOX = 45° + θ

Since, ∠AOX+ ∠XOB = 90°

⇒ 45 + θ + θ ∼ = 90°

⇒ 2θ = 45°

∴ θ = 22.5°

Question :2

The diameter of base of a right circular cone is 7 cm and slant height is 10 cm, then what is its lateral surface area?

Diameter of a cone = 7 cm

∴ Radius of cone = \$7/2\$ cm

Slant height of a right circular cone (l) = 10 cm

∴ Lateral surface area of a cone = π r l

= \${22}/7 × 7/2 × 10 = 11 × 10 = cm^2\$

Question :3

In the above figure, what is x equal to?

In ΔADC, ∠ADB = 180° – ∠ADC = 180° – 60° = 120°

∠DAC = 180° – 60° – 30° = 90°

Again, in right angled ΔDAC,

tan 60° = \${AC}/{DA} ⇒ √3 = a/x ⇒ x = a/√3\$

Question :4

What will be the cost to plaster the inner surface of a well 14 m deep and 4 m in diameter at the rate of Rs.25 per sq m?

Curved surface area of the well = 2 πrh

= \$2 × {22}/7 × 2 × 14 = 176 m^2\$

∴ Expense of getting per square metre plastered = Rs.25

∴ Expense of 176 \$m^2\$ = 176 × 25

= Rs.4400

Question :5

In the given figure below LOM is a straight line.What is the value of x° ?

From the given figure. We know that sum of all angles is 180° because of straight lines.

∠LOQ +∠QOP + ∠POM = 180°

∴ (x° + 20°) + 50° + (x° – 10°) = 180°

⇒ 2x° + 60° = 180°

⇒ 2x° = 120°

x° = 60°

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