SSC CGL Mock – Tier I Mock Test 14 – Section C · Quantitative Aptitude

← Back

SSC CGL Mock – Tier I Mock Test 14 – Section C · Quantitative Aptitude – 25 questions, subject: Full Mock Tests. 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.  
Three non-zero numbers a, b, c add up to 9, and the sum of their reciprocals is zero. Find a² + b² + c².

Correct Answer: C [81]

Explanation:

1/a + 1/b + 1/c = 0 → ab + bc + ca = 0 → a² + b² + c² = 9² − 0 = 81.

2.  
Let x = 1/(√5 − 2). Evaluate x³ − x⁻³.

Correct Answer: B [76]

Explanation:

x = √5 + 2 and 1/x = √5 − 2 → x − 1/x = 4 → 64 + 3 × 4 = 76.

3.  
What is the greatest value of 12x − 3x² + 5 for real x?

Correct Answer: A [17]

Explanation:

−3(x − 2)² + 17 → greatest value 17 at x = 2.

4.  
A batsman's average in 30 innings is 42. His highest score exceeds his lowest by 100 runs. If these two innings are left out, the average of the remaining innings is 40. What is his highest score?

Correct Answer: A [120]

Explanation:

H + L = 1,260 − 1,120 = 140; H − L = 100 → H = 120.

5.  
How many three-digit numbers leave a remainder of 2 when divided by 7 and a remainder of 3 when divided by 9?

Correct Answer: C [14]

Explanation:

Such numbers are 30 more than a multiple of 63 (30 mod 7 = 2, 30 mod 9 = 3): 156, 219, …, 975 → 14 numbers.

6.  
Meera adds three recurring decimals – 0.3, 0.45 and 0.12 (in the last one only the digit 2 repeats). Written as a fraction in lowest terms, her total is:

Correct Answer: B [901/990]

Explanation:

1/3 + 45/99 + 11/90 = (330 + 450 + 121)/990 = 901/990.

7.  
A triangle has sides 5 cm, 12 cm and 13 cm. What is the distance between its incentre and its circumcentre?

Correct Answer: D [√65/2 cm]

Explanation:

Right triangle: r = (5 + 12 − 13)/2 = 2, R = 13/2; d² = R² − 2Rr = 169/4 − 26 = 65/4 → d = √65/2 cm.

8.  
AB is a diameter of a circle and C is a point on the circle. CD ⊥ AB with D on AB, AD = 2 cm and DB = 8 cm. What is the area of triangle ABC?

Correct Answer: D [20 cm²]

Explanation:

∠ACB = 90° → CD² = AD × DB = 16 → CD = 4 → area = ½ × 10 × 4 = 20 cm².

9.  
Two parallel chords of lengths 6 cm and 8 cm lie on opposite sides of the centre of a circle of radius 5 cm. How far apart are they?

Correct Answer: B [7 cm]

Explanation:

Distances from the centre: √(25 − 9) = 4 and √(25 − 16) = 3 → 7 cm.

10.  
Rohit invests ₹ 12,000 at 5% simple interest for 3 years. He then invests the whole amount at 10% per annum compound interest for 2 years. What does he finally receive?

Correct Answer: C [₹ 16,698]

Explanation:

After 3 years: 13,800; then × 1.21 = 16,698.

11.  
A motor-boat goes 30 km downstream and comes back in 4 hours 30 minutes. The stream flows at 5 km/h. What is the speed of the boat in still water?

Correct Answer: A [15 km/h]

Explanation:

30/(b + 5) + 30/(b − 5) = 4.5 → b = 15 (check: 1.5 h + 3 h).

12.  
For an acute angle θ, (1 + tan θ + sec θ)(1 + cot θ − cosec θ) equals:

Correct Answer: B [2]

Explanation:

Write in sin and cos: [(cos θ + sin θ + 1)(sin θ + cos θ − 1)]/(sin θ cos θ) = [(sin θ + cos θ)² − 1]/(sin θ cos θ) = 2.

13.  
θ is acute and 2 cos² θ − 3 cos θ + 1 = 0. What is sin θ tan θ?

Correct Answer: A [3/2]

Explanation:

cos θ = 1/2 or 1; θ acute → cos θ = 1/2, θ = 60° → (√3/2)(√3) = 3/2.

14.  
A and B start a business with ₹ 45,000 and ₹ 30,000. After 5 months A withdraws ₹ 15,000 and B adds ₹ 15,000. Out of a profit of ₹ 33,000 at the end of the year, what is B's share?

Correct Answer: D [₹ 17,050]

Explanation:

A: 45,000 × 5 + 30,000 × 7 = 4,35,000; B: 30,000 × 5 + 45,000 × 7 = 4,65,000 → 29 : 31 → B = 17,050.

15.  
A barrel holds 100 litres of juice. 10 litres are drawn off and replaced with water, and the process is repeated two more times. What is the final ratio of juice to water?

Correct Answer: C [729 : 271]

Explanation:

Juice = 100 × 0.9³ = 72.9 L, water = 27.1 L → 729 : 271.

16.  
A trader sells one-third of his stock at 15% profit, half of it at 10% loss and the rest at 20% profit. What is his overall result?

Correct Answer: B [3 1/3% profit]

Explanation:

1/3 × 15 − 1/2 × 10 + 1/6 × 20 = 5 − 5 + 3 1/3 → profit of 3 1/3%.

17.  
For an article, cost price : marked price = 4 : 5 and marked price : selling price = 6 : 5. What is the result?

Correct Answer: C [4 1/6% profit]

Explanation:

SP = 5/6 MP and CP = 4/5 MP → SP/CP = 25/24 → profit of 1/24 = 4 1/6%.

18.  
The sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 72 cm. What is its area?

Correct Answer: D [216 cm²]

Explanation:

Sides 18, 24, 30 (right-angled) → ½ × 18 × 24 = 216 cm².

19.  
A pyramid has an equilateral triangular base of side 6 cm and a vertical height of 10 cm. What is its volume?

Correct Answer: A [30√3 cm³]

Explanation:

Base area = (√3/4) × 36 = 9√3; V = ⅓ × 9√3 × 10 = 30√3 cm³.

20.  
A job is finished in 16 days by 10 men working 9 hours a day. How many days will 12 men take if they work 8 hours a day?

Correct Answer: D [15 days]

Explanation:

10 × 16 × 9 = 12 × d × 8 → d = 15 days.

21.  

Directions (Q 71–74): The line graph shows the percentage growth in the production of two companies over the previous year. In 2021, company A produced 400 tonnes and company B 500 tonnes (fictional data). Note: the graph shows growth rates, not production.

Line graphWhat was company A's production in 2025?

Correct Answer: B [660 tonnes]

Explanation:

400 × 1.10 × 1.25 × 0.80 × 1.50 = 660 tonnes.

22.  
(Use the directions above – Q 71–74)
Line graphWhich year saw company B's largest output?

Correct Answer: A [2025]

Explanation:

B: 600, 540, 675, 810 tonnes → 2025.

23.  
(Use the directions above – Q 71–74)
Line graphWhat was the combined production of A and B in 2024?

Correct Answer: C [1,115 tonnes]

Explanation:

Answer: 1,115 tonnes. A 440 + B 675 = 1,115 tonnes.

24.  
(Use the directions above – Q 71–74)
Line graphIn which year was company A's production the same as in 2022?

Correct Answer: D [2024]

Explanation:

A: 440 (2022), 550, 440 (2024), 660.

25.  
A machine loses 10% of its value every year. After 3 years its value is ₹ 1,45,800. By how much has its value fallen in these 3 years?

Correct Answer: B [₹ 54,200]

Explanation:

Original = 1,45,800 ÷ 0.729 = 2,00,000; fall = 2,00,000 − 1,45,800 = 54,200.

➤ All 38 papers with every answer explained, score tracker and OMR sheet – SSC CGL 2026 Full Mock Test Papers book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-full-mock-test-papers

📘 SSC CGL 2026 – Full Mock Test Papers (Tier I + Tier II – 38 Full Mock Papers)
Here you get the answer with a one-line explanation. 3,640 new questions in 38 full papers – 15 Tier I, 8 Tier II Paper I, 5 Computer Knowledge, 5 Paper II Statistics, 5 Paper III Finance & Economics · answer key with a one-line reason · score tracker and OMR sheet
Get the book – ₹149 ₹299 →
Score: 0 Answered: 0 / 0