SSC CGL Quant – Simplification & Approximation – Level 2 · Exam Level · Tier I Sprint

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SSC CGL Quant – Simplification & Approximation – 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.

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1.  
1 − 1/(1 + 1/(1 + 1/3)) = ?

Correct Answer: A [3/7]

Explanation:

1 + 1/3 = 4/3 → 1 + 3/4 = 7/4 → 1/(7/4) = 4/7 → 1 − 4/7 = 3/7.

2.  
0.12 expressed as a fraction is:

Correct Answer: D [11/90]

Explanation:

(12 − 1)/90 = 11/90.

3.  
0.36 + 0.63 = ?

Correct Answer: D [1]

Explanation:

36/99 + 63/99 = 99/99 = 1.

4.  
(3.6³ + 1.4³) ÷ (3.6² − 3.6 × 1.4 + 1.4²) = ?

Correct Answer: A [5]

Explanation:

Pattern Collapse: 3.6 + 1.4 = 5.

5.  
(√7 + √5)/(√7 − √5) = ?

Correct Answer: C [6 + √35]

Explanation:

Multiply by √7 + √5: (12 + 2√35)/2 = 6 + √35.

6.  
999.99 ÷ 24.98 × 5.01 ≈ ?

Correct Answer: B [200]

Explanation:

≈ 1,000 ÷ 25 × 5 = 200 (exact ≈ 200.6).

7.  
Two-quantity comparison
Quantity I: 2 ÷ 2 × 2
Quantity II: 2 ÷ (2 × 2)

Correct Answer: A [Quantity I > Quantity II]

Explanation:

QI = (2 ÷ 2) × 2 = 2 (left to right); QII = 2 ÷ 4 = 0.5.

8.  
Match the following
P. 0.5 Q. 0.05 R. 0.05
1. 1/18 2. 5/9 3. 5/99

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

Explanation:

5/9; (5 − 0)/90 = 1/18; 05/99 = 5/99.

9.  
Trick Spotterthe fastest way to evaluate (9.65² − 2.35²) ÷ (9.65 − 2.35) is:

Correct Answer: C [write it as 9.65 + 2.35 = 12]

Explanation:

(a² − b²)/(a − b) = a + b.

10.  
Spot My Mistake“60 ÷ 5 × 4 = 60 ÷ 20 = 3.” What is the correct value?

Correct Answer: A [48]

Explanation:

÷ and × go left to right: 60 ÷ 5 = 12, × 4 = 48.

11.  
Fill in the blank√0.0064 = ____

Correct Answer: D [0.08]

Explanation:

64 × 10⁻⁴ → 8 × 10⁻² = 0.08.

12.  
Arrange in orderArrange in ascending order: 0.4, 0.45, 0.45

Correct Answer: D [0.4̅ < 0.45 < 0.4̅5̅]

Explanation:

0.4444… < 0.4500 < 0.4545…

13.  
(3 + √5)² + (3 − √5)² = ?

Correct Answer: C [28]

Explanation:

2(a² + b²) = 2(9 + 5) = 28.

14.  
24.97% of 360.2 + 12.03 × 4.98 ≈ ?

Correct Answer: A [150]

Explanation:

≈ 1/4 × 360 + 12 × 5 = 90 + 60 = 150.

15.  
Reverse questionwhat must be added to 7/12 to get 1¾?

Correct Answer: B [7/6]

Explanation:

7/4 − 7/12 = 21/12 − 7/12 = 14/12 = 7/6.

➤ 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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