SSC CGL Quant – Calculation Speed – Level 3 · Challenge

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SSC CGL Quant – Calculation Speed – Level 3 · Challenge – 8 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.

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1.  
What is the unit digit of 3⁶⁵ + 7⁶⁵?

Correct Answer: D [0]

Explanation:

65 ÷ 4 leaves 1 → 3 and 7; 3 + 7 = 10 → 0.

2.  
11² + 12² + 13² + … + 20² = ?

Correct Answer: A [2,485]

Explanation:

Sum 1²…20² = 2,870; minus 1²…10² = 385 → 2,485.

3.  
Assertion–Reason
A: No perfect square ends in the digit 7.
R: Squares of 0 to 9 end only in 0, 1, 4, 5, 6 or 9.

Correct Answer: A [Both A and R are true and R explains A]

Explanation:

The last digit of a square depends only on the last digit of the number, so R gives A.

4.  
What is the least number that must be added to 7,850 to make it divisible by 11?

Correct Answer: C [4]

Explanation:

7,850 = 11 × 713 + 7, so add 11 − 7 = 4.

5.  
The largest 4-digit number divisible by both 8 and 9 is:

Correct Answer: D [9,936]

Explanation:

Divisible by 72; 9,999 = 72 × 138 + 63 → 9,999 − 63 = 9,936.

6.  
How many of the squares 1², 2², …, 50² end in the digit 6?

Correct Answer: B [10]

Explanation:

n must end in 4 or 6: 4, 6, 14, 16, …, 44, 46 → 10.

7.  
1.5² + 2.5² + 3.5² = ?

Correct Answer: B [20.75]

Explanation:

2.25 + 6.25 + 12.25 = 20.75 (Five-Tail with the point placed).

8.  
37 × 37 + 2 × 37 × 13 + 13 × 13 = ?

Correct Answer: D [2,500]

Explanation:

(37 + 13)² = 50² = 2,500.

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

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