SSC CGL Quant – Calculation Speed – Level 2 · Exam Level · Tier I Sprint

← Back

SSC CGL Quant – Calculation Speed – 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.  
45² + 55² = ?

Correct Answer: A [5,050]

Explanation:

Five-Tail: 2,025 + 3,025 = 5,050.

2.  
103 × 108 = ?

Correct Answer: B [11,124]

Explanation:

Above base: 103 + 8 = 111 | 3 × 8 = 24 → 11,124.

3.  
Find the unit digit of 13²⁶ × 17³¹.

Correct Answer: C [7]

Explanation:

3²⁶: remainder 2 → 9; 7³¹: remainder 3 → 3; 9 × 3 = 27 → 7.

4.  
Which of the following numbers is divisible by 11?

Correct Answer: D [6,37,428]

Explanation:

6,37,428: odd places 8 + 4 + 3 = 15, even places 2 + 7 + 6 = 15, difference 0.

5.  
Two-quantity comparison
Quantity I: 23² + 2 × 23 × 7 + 7²
Quantity II: 29 × 31

Correct Answer: A [Quantity I > Quantity II]

Explanation:

QI = (23 + 7)² = 900; QII = 30² − 1² = 899.

6.  
Using the 'double and subtract' test, which number is divisible by 7?

Correct Answer: B [2,233]

Explanation:

2,233 → 223 − 6 = 217 → 21 − 14 = 7 ✓ (2,233 = 7 × 319).

7.  
Match the following
P. 17² Q. 13³ R. 24²
1. 2,197 2. 576 3. 289

Correct Answer: C [P-3, Q-1, R-2]

Explanation:

17² = 289, 13³ = 2,197, 24² = 576.

8.  
Trick SpotterWhich is the quickest correct route to 96 × 97?

Correct Answer: D [96 − 3 = 93, then 4 × 3 = 12 → 9,312]

Explanation:

Base 100 with distances −4 and −3: 93 | 12 = 9,312.

9.  
Spot My Mistake“4 cycles as 4, 6, so the unit digit of 4³⁵ is 6.” What is the correct unit digit?

Correct Answer: A [4]

Explanation:

Odd power of 4 ends in 4; even power ends in 6.

10.  
Arrange in orderArrange in ascending order: 4/7, 5/9, 3/5

Correct Answer: B [5/9 < 4/7 < 3/5]

Explanation:

Decimals ≈ 0.571, 0.556, 0.6; or cross-multiply 4 × 9 = 36 > 35 = 5 × 7.

11.  
The number 749*32 is divisible by 9. Find the digit *.

Correct Answer: C [2]

Explanation:

7 + 4 + 9 + 3 + 2 = 25; next multiple of 9 is 27 → * = 2.

12.  
Fill in the blank35² − 25² = ____

Correct Answer: A [600]

Explanation:

(35 − 25)(35 + 25) = 10 × 60 = 600.

13.  
Trick SpotterWithout multiplying fully, which of these can be 738 × 241?

Correct Answer: D [1,77,858]

Explanation:

Nine-Check: dr(738) = 9 → product root 9.

14.  
Reverse questionA number multiplied by 25 gives 2,175. The number is:

Correct Answer: B [87]

Explanation:

2,175 × 4 ÷ 100 = 87.

15.  
Which is the largest?

Correct Answer: C [8/11]

Explanation:

Gap to One: 3/11 ≈ 0.273 is the smallest gap (2/7 ≈ 0.286, 5/18 ≈ 0.278, 0.3).

➤ 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