SSC CGL Quant – Calculation Speed – Tier II Level · Marathon

← Back

SSC CGL Quant – Calculation Speed – Tier II Level · Marathon – 10 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.  
The cube root of 2,74,625 is:

Correct Answer: A [65]

Explanation:

Ends in 5 → root ends in 5; 274: 6³ = 216 ≤ 274 < 343 → 65.

2.  
√6,889 = ?

Correct Answer: C [83]

Explanation:

Ends in 9 → 3 or 7; front 68 → 8_ (8² = 64 ≤ 68 < 81); 85² = 7,225 > 6,889 → 83.

3.  
The unit digit of 3,148⁶⁴¹ is:

Correct Answer: A [8]

Explanation:

Only 8⁶⁴¹ matters; 641 ÷ 4 leaves 1 → first place of 8, 4, 2, 6 → 8.

4.  
The unit digit of 1! + 2! + 3! + … + 50! is:

Correct Answer: B [3]

Explanation:

From 5! onwards every term ends in 0; 1 + 2 + 6 + 24 = 33 → 3.

5.  
How many 4-digit numbers of the form x84y (x, y digits) are divisible by 72?

Correct Answer: C [2]

Explanation:

8 | 84y → y = 0 or 8; 9 | x + 12 + y → (6, 0) or (7, 8): 6,840 and 7,848.

6.  
997² = ?

Correct Answer: D [9,94,009]

Explanation:

Base 1,000: 997 − 3 = 994 | 3² = 009 → 9,94,009.

7.  
The unit digit of 27³⁵ − 13³⁵ is:

Correct Answer: C [6]

Explanation:

7³⁵ → 3, 3³⁵ → 7 (35 ÷ 4 leaves 3); 27³⁵ is larger, so borrow: 13 − 7 = 6.

8.  
What is the remainder when 7,65,412 is divided by 9?

Correct Answer: D [7]

Explanation:

Digit sum 25 → 7; the remainder on ÷ 9 is the digital root.

9.  
Statement-basedWhich is/are true?
I. The digital root of every perfect square is 1, 4, 7 or 9.
II. The digital root of every perfect cube is 1, 8 or 9.

Correct Answer: B [Both I and II]

Explanation:

Squares leave 0, 1, 4, 7 on ÷ 9; cubes leave 0, 1, 8 (0 shows as 9).

10.  
1,013 × 1,006 = ?

Correct Answer: A [10,19,078]

Explanation:

Base 1,000: 1,013 + 6 = 1,019 | 13 × 6 = 078 → 10,19,078.

➤ 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