SSC CGL Quant – Mock Test M2 – Tier I Quantitative Aptitude – Mock M2 · Tier I · Quantitative Aptitude

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SSC CGL Quant – Mock Test M2 – Tier I Quantitative Aptitude – Mock M2 · Tier I · Quantitative Aptitude – 25 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.  
√5929 + ∛2197 = ?

Correct Answer: B [90]

Explanation:

77² = 5,929 and 13³ = 2,197 → 77 + 13 = 90.

2.  
The price of an article is first raised by 30% and then reduced by 30%. The net change in the price is:

Correct Answer: A [9% decrease]

Explanation:

1.3 × 0.7 = 0.91 → a 9% decrease (a + b + ab/100 = 30 − 30 − 9).

3.  
The average of 11 numbers is 36. The average of the first six is 32 and that of the last six is 41. The sixth number is:

Correct Answer: C [42]

Explanation:

192 + 246 − 396 = 42.

4.  
A laptop marked ₹ 12,000 is sold after successive discounts of 30% and 20%. The selling price is:

Correct Answer: D [₹ 6,720]

Explanation:

12,000 × 0.7 × 0.8 = ₹ 6,720.

5.  
At simple interest a sum becomes 2½ times itself in 12 years. The rate per cent per annum is:

Correct Answer: C [12.5%]

Explanation:

Interest = 1.5 × principal in 12 years → 150/12 = 12.5%.

6.  
A and B start a business with ₹ 45,000 and ₹ 30,000. After 6 months A withdraws ₹ 15,000. Out of a year-end profit of ₹ 27,000, B's share is:

Correct Answer: B [₹ 12,000]

Explanation:

A: 45,000 × 6 + 30,000 × 6 = 4,50,000; B: 30,000 × 12 = 3,60,000 → 5 : 4 → B = 27,000 × 4/9 = ₹ 12,000.

7.  
In what ratio must rice at ₹ 42 a kg be mixed with rice at ₹ 54 a kg to get a mixture worth ₹ 50 a kg?

Correct Answer: D [1 : 2]

Explanation:

Alligation: (54 − 50) : (50 − 42) = 4 : 8 = 1 : 2.

8.  
The compound interest on ₹ 6,400 for 2 years at 12.5% per annum, compounded annually, is:

Correct Answer: A [₹ 1,700]

Explanation:

12.5% = 1/8: 6,400 → 7,200 → 8,100; CI = ₹ 1,700 (₹ 1,600 is the simple interest).

9.  
Pipes A and B fill a tank in 15 hours and 20 hours; pipe C empties the full tank in 30 hours. With all three open, the tank is filled in:

Correct Answer: C [12 hours]

Explanation:

LCM 60 units: 4 + 3 − 2 = 5 units an hour → 12 hours.

10.  
10 men or 15 women can finish a job in 12 days. In how many days will 6 men and 3 women finish it?

Correct Answer: B [15 days]

Explanation:

1 man = 1.5 women; 6 men + 3 women = 12 women; 15 × 12 = 180 woman-days → 180 ÷ 12 = 15 days.

11.  
A man covers one-third of a journey at 20 km/h and the rest at 40 km/h. His average speed for the whole journey is:

Correct Answer: A [30 km/h]

Explanation:

Take 120 km: 40 km at 20 km/h = 2 h, 80 km at 40 km/h = 2 h → 120 ÷ 4 = 30 km/h.

12.  
Match the following
P. 3/8 Q. 5/16 R. 7/40
1. 17.5% 2. 37.5% 3. 31.25%

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

Explanation:

3/8 = 37.5%, 5/16 = 31.25%, 7/40 = 17.5%.

13.  
If x − 1/x = 5, then x² + 1/x² = ?

Correct Answer: C [27]

Explanation:

(x − 1/x)² + 2 = 25 + 2 = 27.

14.  
The remainder when 2x³ − 5x² + 3x − 4 is divided by (x − 2) is:

Correct Answer: D [−2]

Explanation:

f(2) = 16 − 20 + 6 − 4 = −2.

15.  
The line 5x + 6y = 30 cuts off a triangle with the coordinate axes. Its area is:

Correct Answer: B [15 sq units]

Explanation:

Intercepts 6 and 5 → ½ × 6 × 5 = 15.

16.  
Each interior angle of a regular polygon is 165°. The number of its sides is:

Correct Answer: A [24]

Explanation:

Exterior angle 15° → 360/15 = 24.

17.  
Two similar triangles have corresponding sides in the ratio 3 : 5. The ratio of their areas is:

Correct Answer: D [9 : 25]

Explanation:

Areas go as the square of the side ratio.

18.  
In a right triangle the sides containing the right angle are 16 cm and 12 cm. The median drawn to the hypotenuse is:

Correct Answer: B [10 cm]

Explanation:

Hypotenuse 20; the median to the hypotenuse is half of it = 10 cm.

19.  
A cylindrical tank has radius 14 cm and height 5 cm. Its volume is (π = 22/7):

Correct Answer: C [3,080 cm³]

Explanation:

22/7 × 196 × 5 = 3,080 cm³.

20.  
A conical tent has base radius 9 m and height 12 m. The canvas needed for its curved surface is:

Correct Answer: A [135π m²]

Explanation:

Slant height √(81 + 144) = 15; πrl = π × 9 × 15 = 135π m².

21.  
sin 60° × cos 30° + tan 45° × cot 45° = ?

Correct Answer: D [7/4]

Explanation:

(√3/2)(√3/2) + 1 × 1 = 3/4 + 1 = 7/4.

22.  
If cosec θ − cot θ = 1/5 (θ acute), then cos θ = ?

Correct Answer: C [12/13]

Explanation:

(cosec θ + cot θ)(cosec θ − cot θ) = 1 → cosec θ + cot θ = 5; adding, cosec θ = 13/5, cot θ = 12/5 → cos θ = cot θ/cosec θ = 12/13.

23.  
The angle of elevation of the top of a 45 m tower from a point on the ground is 60°. The distance of the point from the foot of the tower is:

Correct Answer: B [15√3 m]

Explanation:

tan 60° = 45/d → d = 45/√3 = 15√3 m.

24.  

Directions (Q 24–25): The table shows the number of bicycles sold by four shops in two years (fictional data).

Shop 2024 2025
P 240 300
Q 320 360
R 200 260
S 280 280
Data tableWhich shop shows the largest growth in percentage terms between the two years?

Correct Answer: A [R]

Explanation:

P 25%, Q 12.5%, R 30%, S 0% → R.

25.  
(Use the directions above – Q 24–25)
Data tableBy how much did the average sales per shop rise from 2024 to 2025?

Correct Answer: D [40]

Explanation:

Averages 260 and 300 → rise of 40 bicycles.

➤ 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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