SSC CGL Quant – Mensuration 2D & 3D – Level 2 · Exam Level · Tier I Sprint

← Back

SSC CGL Quant – Mensuration 2D & 3D – Level 2 · Exam Level · Tier I Sprint – 15 questions, subject: Quantitative Aptitude. Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.

Get daily current affairs & exam alerts – follow us YouTube WhatsApp Channel Telegram Channel Facebook Page Instagram
Share with friends & study groups
Link to this page from your website / blog (HTML code)
1.  
A wheel has a diameter of 70 cm. How many complete revolutions does it make to cover 2.2 km? (Take π = 22/7)

Correct Answer: B [1000]

Explanation:

Circumference = 22/7 × 70 = 220 cm; 2,20,000 ÷ 220 = 1000.

2.  
A lawn 50 m × 30 m has a path 2.5 m wide all round it on the outside. Find the area of the path.

Correct Answer: A [425 m²]

Explanation:

2w(l + b + 2w) = 5 × (50 + 30 + 5) = 425 m² (check: 55 × 35 − 1500).

3.  
A room is 8 m long, 6 m wide and 4 m high. What is the cost of painting its four walls at ₹ 15 per m²?

Correct Answer: D [₹ 1,680]

Explanation:

Four walls = 2h(l + b) = 2 × 4 × 14 = 112 m² → 112 × 15 = ₹ 1,680.

4.  
Find the length of the longest rod that fits in a box 12 cm × 4 cm × 3 cm.

Correct Answer: C [13 cm]

Explanation:

d = √(144 + 16 + 9) = √169 = 13 cm.

5.  
A cone has radius 6 cm and height 8 cm. Find its total surface area.

Correct Answer: C [96π cm²]

Explanation:

l = √(36 + 64) = 10; πr(l + r) = π × 6 × 16 = 96π cm² (60π is only the curved part).

6.  
How many lead balls of radius 1 cm can be made by melting a solid lead sphere of radius 4 cm?

Correct Answer: A [64]

Explanation:

Recast Count: (4/1)³ = 64.

7.  
The radius of a circle is decreased by 20%. By what percentage does its area decrease?

Correct Answer: D [36%]

Explanation:

Area factor 0.8² = 0.64 → 36% decrease.

8.  
Two-quantity comparison(Take π = 22/7)
Quantity I: Volume of a cube of edge 7 cm
Quantity II: Volume of a cylinder of radius 3.5 cm and height 10 cm

Correct Answer: B [Quantity I < Quantity II]

Explanation:

QI = 343 cm³; QII = 22/7 × 12.25 × 10 = 385 cm³ → QI < QII.

9.  
Diagram-basedThe figure shows a 14 cm × 10 cm rectangle with a semicircle on its 14 cm side. Find the area of the whole figure. (Take π = 22/7)

Correct Answer: B [217 cm²]

Explanation:

140 + ½ × 22/7 × 7 × 7 = 140 + 77 = 217 cm².

10.  
The sum of the length, breadth and height of a cuboid is 21 cm and its diagonal is 15 cm. Its total surface area is:

Correct Answer: C [216 cm²]

Explanation:

(l + b + h)² − d² = 441 − 225 = 216 cm² (14, 5, 2 fit: 2(70 + 10 + 28) = 216).

11.  
Trick SpotterHow many cubes of edge 4 cm can be cut from a cube of edge 20 cm? Pick the fastest correct method.

Correct Answer: B [(20 ÷ 4)³ = 125]

Explanation:

Volumes divide: (20/4)³ = 5³ = 125.

12.  
Spot My Mistake“Curved surface area of a cylinder with r = 7 cm, h = 10 cm is 2πr(r + h) = 748 cm².” What is the correct curved surface area? (Take π = 22/7)

Correct Answer: D [440 cm²]

Explanation:

Curved surface = 2πrh = 440 cm²; 2πr(r + h) = 748 is the TOTAL surface area.

13.  
A regular square pyramid has base side 16 cm and height 15 cm. Find its lateral surface area.

Correct Answer: A [544 cm²]

Explanation:

Slant height = √(15² + 8²) = 17; LSA = ½ × 64 × 17 = 544 cm².

14.  
A metal pipe is 21 cm long. Its outer radius is 4 cm and inner radius is 3 cm. Find the volume of metal. (Take π = 22/7)

Correct Answer: D [462 cm³]

Explanation:

π(R² − r²)h = 22/7 × 7 × 21 = 462 cm³.

15.  
Reverse questionThe volume of a sphere is 4851 cm³. What is its radius? (Take π = 22/7)

Correct Answer: A [10.5 cm]

Explanation:

r³ = 4851 × 3/4 × 7/22 = 1157.625 → r = 10.5 cm.

➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Quantitative Aptitude book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-quantitative-aptitude

📘 TNPSC திறனறிவும் மனக்கணக்கு நுண்ணறிவும் (Aptitude & Mental Ability) – முழுமையான பாடநூல்
Here you get the answer with a one-line explanation. TNPSC திறனறிவு & காரணவியல் சிலபஸ் முழுவதும் · 14 அத்தியாயங்கள் + 2 அலகு மாதிரித் தேர்வுகள் · 357 பயிற்சி வினாக்கள் படிப்படியான தீர்வுடன் · மாதிரித் தாள்கள் (50 வினாக்கள்) · 14 மனவரைபடங்கள் · சூத்திரச் சுருக்கம், கணக்கு அட்டவணைகள்
Get the book – ₹199 ₹399 →
Score: 0 Answered: 0 / 0