aptitude mensuration mcq pdf Model Questions & Answers, Practice Test for ibps rrb so officer sclae 2 3 single exam 2024

Answer: (b)

∵ Angle made in 60 min by minute hand of a clock

= 360°

and Angle made in 40 min by minute hand of a clock

= ${360°}/{60°}$ × 40 = 240°

∴ Required distance = ${2π(2.5) × 240°}/{360°} = {10π}/3$ cm

Answer: (d)

If two parallel lines are cut by two distinct transversals, the quadrilateral formed by the four lines is always a 'Trapezium'.

Case I If two distinct transversals (are not parallel),

then always → (Trapezium)

Case II If two distinct transversals are parallel,

then always (Trapezium + Parallelogram)

Answer: (d)

AB - side of the outermost triangle = a

AC = CB = a/2

HC = $√{{a^2}/{4} + {a^2}/{4}} = {a}/{√2}$

Diameter of circle = ${a}/{√2}$ ; radius = ${a}/{2 √2}$

O is the centre of the circle. Then EOF = ∠120°

Then Area of ΔEOF = = $1/2$ OE.OF.sin 120°

⇒${1/2} × {a^2}/8 × {√3}/2 = {√3 a^2}/{32}$

Then area of ΔEFG = ${3√3 a^2}/{32}$

Answer: (d)

In ΔABX and ΔADZ.

AB = AD (side of a square ABCD)

and AX = AZ (side of square AXYZ)

Let ∠BAX = θ

∴ ∠XAD = 90° – θ

Also, AXYZ is a square,

∴ ∠ZAX = 90° ⇒ ∠ZAD + ∠XAD = 90°

⇒ ∠ZAD = 90° – (90° – θ) = θ

i.e., ∠BAX = ∠ZAD

∴ ΔABX ≅ ΔADZ

∴ BX = DZ (by CPCT)

Answer: (a)

Isosceles trapezium has only line of symmetry.