Question
A 5x5x5 cube is painted on all faces and cut into 1x1x1 cubes. How many small cubes have exactly one face painted? / एक 5x5x5 घन के सभी फलकों को रंगा जाता है और उसे 1x1x1 घनों में काटा जाता है। कितने छोटे घनों का ठीक एक फलक रंगा होगा?
Option 4 : 54 / 54
Detailed Solution
सही उत्तर 54 / 54 है।
Cubes with exactly one painted face lie in the centre of each face: 6 faces x (5-2)^2 = 6 x 9 = 54. / ठीक एक फलक रंगे वाले घन प्रत्येक फलक के केंद्र में होते हैं: 6 फलक x (5-2)^2 = 6 x 9 = 54।
- ->SSC CGL Admit Card 2026Download Tier — 1 Hall Ticket Region — wise, Exam Day Rules
- ->SSC CGL Exam Date 2026Tier — 1 Schedule (30 Sep–30 Oct), Shifts, City Slip & Admit Card Dates
- ->SSC CGL Exam Date 2026Tier — 1 Schedule (30 Sep–30 Oct), Shifts, City Slip & Admit Card Dates
- ->SSC CGL 2026 Notification Out10,731 Vacancies, Apply Online, Exam Dates, Eligibility
- ->SSC GD Physical Test 2026PET/PST Running, Height, Chest Standards, Dates
- ->SSC GD Constable Cut Off 2026 OutState — wise, Category — wise Cut Off Marks (Male/Female)
- ->SSC GD Constable Result 2026 Out1,97,408 Candidates Shortlisted for PET/PST — Check Merit List PDF
- ->RRB NTPC Cut Off 2026Expected CBT — 1 Cut Off, Previous Year Cut Offs (Zone — wise)
Recommended Test Series
Attempt full-length mock tests, sectional papers & All India Rank
AIIMS CRE Social Security Officer, Manager Grade-II & Superintendent Test Series 2026
AIIMS CRE Social Security Officer, Manager Grade-II & Superintendent Test Series 2026
20 Total Tests
- •20 Full Test (Prelims)
SSC GD Constable Test Series
SSC GD Constable Test Series
145 Total Tests
- •15 Full Test (Prelims)
- •50 Sectional Test
- •55 Chapter Test
- +25 more tests
DSSSB Junior Scientific Assistant (LieDetection) Test Series 2026 | 25+ Mock Tests
DSSSB Junior Scientific Assistant (LieDetection) Test Series 2026 | 25+ Mock Tests
120 Total Tests
- •20 Full Test (Prelims)
- •100 Sectional Test
AIIMS CRE Assistant Security Officer Test Series 2026
AIIMS CRE Assistant Security Officer Test Series 2026
70 Total Tests
- •20 Full Test (Prelims)
- •50 Sectional Test
More Reasoning Questions
Choose the word nearest in meaning to ABRUPT.
Choose the word opposite in meaning to CLEAR.
Choose the one-word substitution for: One who eats everything.
Choose the one-word substitution for: Fear of closed spaces.
Choose the correct meaning of the underlined idiom in this sentence: 'The new metro line will kill two birds with one stone.'
What does the idiom 'to have cold feet' mean?
Choose the part containing the error: Each of the students / has submitted / his assignment / yesterday.
Choose the correct passive voice of: The teacher praised the students for their work.
prepsnap.in • ReasoningQuestion:
A 5x5x5 cube is painted on all faces and cut into 1x1x1 cubes. How many small cubes have exactly one face painted? / एक 5x5x5 घन के सभी फलकों को रंगा जाता है और उसे 1x1x1 घनों में काटा जाता है। कितने छोटे घनों का ठीक एक फलक रंगा होगा?
Correct Answer: 54 / 54
Cubes with exactly one painted face lie in the centre of each face: 6 faces x (5-2)^2 = 6 x 9 = 54. / ठीक एक फलक रंगे वाले घन प्रत्येक फलक के केंद्र में होते हैं: 6 फलक x (5-2)^2 = 6 x 9 = 54।