mensuration Model Questions & Answers, Practice Test for ssc mts tier 1 2024

Question :1

Water is filled in a container in such a manner that its volume doubles every 5 minutes. If it takes 30 minutes for the container to be full, in how much time will it be one– fourth full?

Answer: (a)

At sometimes, the container was full.

At 25 minutes, it was holy full.

At 20 minutes, it was the fourth full.

So, option (c) is correct.

Question :2

A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. What is the area of the circle ?

Answer: (d)

Perimeter of the circle = 2 π r = 2(18 + 26)

⇒2 × ${22}/7$ × r = 88⇒r = 14

∴ Area of the circle

=π $r^2 = {22}/{7} × 14 × 14 = 616 cm^2$.

Question :3

A field is 125 m long and 15 m wide. A tank 10m × 7.5m × 6m was dug in it and the Earth thus dug out was spread equally on the remaining field. The level of the field thus raised is equal to which one of the following?

Answer: (a)

Area of tank, BCDE = 10 × 7.5 = 75 $m^2$

mensuration-area-and-volume-aptitude-mcq

Area of remaining field ABEDFGA

= 125 × 15 – 75 = 1800 sq m

Volume of Earth dug = 10 ×7.5 × 6 = 450 cu m

By given condition, 1800 × h = 450

⇒ h = $1/4 m = 1/4 × 100$ cm = 25 cm

Question :4

What is the volume of a cone of maximum volume cut out from a cube of edge 2a such that their bases are on the same plane?

Answer: (a)

edge of cube = 2a

radius of cone = ${2a}/2$ = a

hight of cone = 2a

Volume of cone = $1/3 π r^2 h = 1/3 × π × a^2 × 2a$

= ${2a^3 π}/3 = {2πa^3}/3$

Question :5

If x and y are respectively the areas of a square and a rhombus of sides of same length, then what is x : y?

Answer: (b)

As we know that, if the length of square and rhombus are same, then the area should be same

∴ x : y = 1 : 1

ssc mts tier 1 2024 IMPORTANT QUESTION AND ANSWERS

Recently Added Subject & Categories For All Competitive Exams

Top Analogy Reasoning Ability For IBPS Clerk Prelims 2024

Most Important Analogy based Verbal Reasoning Multiple choice questions and answers practice quiz series PDF, Free New Mock tests For IBPS Clerk Prelims 2024

01-May-2024 by Careericons

Continue Reading »

SSC STENO: Mensuration Area & Volume Questions Test PDF

Free Mensuration Area and Volume Aptitude-based Practice multiple questions with solutions, Quiz, Full Mock Test & PDF for SSC Steno (Grade C & D) 2024 Exam

30-Apr-2024 by Careericons

Continue Reading »

SSC STENO: Speed Time and Distance MCQ Questions Test PDF

Free Time and Distance Aptitude-based Practice multiple questions with solutions, Quiz series, Mock Test & Download PDF for SSC Steno (Grade C & D) 2024 Exam

29-Apr-2024 by Careericons

Continue Reading »

SSC STENO: Time & Work Questions Solved Problems with PDF

Free Time and work Aptitude-based Practice multiple questions with solutions, Quiz series, Mock Test & Downloadable PDF for SSC Steno (Grade C & D) 2024 Exam

27-Apr-2024 by Careericons

Continue Reading »