SSC CGL Mock – Tier I Mock Test 07 – Section C · Quantitative Aptitude

← Back

SSC CGL Mock – Tier I Mock Test 07 – 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.  
At simple interest, a sum amounts to ₹ 9,440 in 3 years and to ₹ 10,400 in 5 years. What is the rate of interest?

Correct Answer: B [6%]

Explanation:

Interest for 2 years = 960 → 480 a year; principal = 9,440 − 3 × 480 = 8,000 → rate = 480/8,000 × 100 = 6%.

2.  
An equilateral triangle encloses an area of 16√3 cm². Find the total length of its three sides.

Correct Answer: A [24 cm]

Explanation:

(√3/4)a² = 16√3 → a² = 64 → a = 8 → perimeter 24 cm.

3.  
A rectangular tank with a base of 6 m × 4 m contains 72,000 litres of water. What is the depth of the water?

Correct Answer: C [3 m]

Explanation:

72,000 L = 72 m³ → depth = 72/24 = 3 m.

4.  
If tan θ = 8/15 and θ is acute, what is (sin θ + cos θ)/(sin θ − cos θ)?

Correct Answer: D [−23/7]

Explanation:

Divide by cos θ: (8/15 + 1)/(8/15 − 1) = −23/7.

5.  
From the top of a 75 m high tower, the angles of depression of two cars on the same side of the tower are 30° and 45°. How far apart are the cars?

Correct Answer: C [75(√3 − 1) m]

Explanation:

Distances 75√3 m and 75 m → 75(√3 − 1) m.

6.  
If x = 13, y = 11 and z = 9, what is the value of (x − y)³ + (y − z)³ + (z − x)³?

Correct Answer: B [−48]

Explanation:

The three brackets add to 0, so the sum is 3(x − y)(y − z)(z − x) = 3 × 2 × 2 × (−4) = −48.

7.  
Divide 2x³ − 5x² + 3x − 7 by x + 1. What remainder is left?

Correct Answer: A [−17]

Explanation:

Remainder theorem: f(−1) = −2 − 5 − 3 − 7 = −17.

8.  
For what value of k are the lines 3x + ky = 7 and 6x + 10y = 11 parallel?

Correct Answer: D [5]

Explanation:

Parallel ⇔ 3/6 = k/10 (and 7/11 ≠ 3/6) → k = 5.

9.  
Side BC (15 cm) of triangle ABC is cut at D by the bisector of angle A. If AB = 12 cm and AC = 8 cm, find the length of BD.

Correct Answer: A [9 cm]

Explanation:

BD : DC = AB : AC = 3 : 2 → BD = 3/5 × 15 = 9 cm.

10.  
Which one of the following is NOT a valid test for the congruence of two triangles?

Correct Answer: B [SSA (two sides and a non-included angle)]

Explanation:

SSA can give two different triangles (the ambiguous case); SSS, SAS, ASA/AAS and RHS are valid tests.

11.  
Diagram-basedIn the figure, chord AB subtends ∠AOB = 100° at the centre O, and C is a point on the minor arc AB. Find ∠ACB.

Correct Answer: D [130°]

Explanation:

The angle on the major arc would be 50°; C is on the minor arc, so ∠ACB = 180° − 50° = 130°.

12.  
The average temperature from Monday to Wednesday was 36 °C and from Tuesday to Thursday was 37 °C. Thursday's temperature was 39 °C. What was Monday's temperature?

Correct Answer: C [36 °C]

Explanation:

Mon − Thu = 3 × 36 − 3 × 37 = −3 → Mon = 39 − 3 = 36 °C.

13.  
A starts a shop with ₹ 36,000. After 4 months B joins with ₹ 48,000, and 3 months after that C joins with ₹ 60,000. Out of a year-end profit of ₹ 37,200, what is C's share?

Correct Answer: C [₹ 10,000]

Explanation:

Capital × months: 4,32,000 : 3,84,000 : 3,00,000 = 36 : 32 : 25 → C = 25/93 × 37,200 = 10,000.

14.  
Find the remainder left when 2 raised to the power 2026 is divided by 7.

Correct Answer: B [2]

Explanation:

2³ = 8 leaves 1 on division by 7; 2026 = 3 × 675 + 1, so 2²⁰²⁶ leaves 2¹ = 2.

15.  
Which of these sums of square roots has the greatest value?

Correct Answer: A [√7 + √7]

Explanation:

Each sum squared is 14 + 2√(product): products 33, 45, 48, 49 → √7 + √7 (product 49) is the largest.

16.  
Selling a chair for ₹ 1,380 earns exactly as much profit as the loss suffered when it is sold for ₹ 1,020. Find its cost price.

Correct Answer: D [₹ 1,200]

Explanation:

Cost is midway: (1,380 + 1,020)/2 = 1,200.

17.  
After a discount of 18%, a mixer is sold for ₹ 2,214. What is its marked price?

Correct Answer: C [₹ 2,700]

Explanation:

Answer: ₹ 2,700. 2,214 ÷ 0.82 = 2,700.

18.  
Ravi saves whatever is left after spending 80% of his income. Next year his income goes up by 25% and his spending by 15%. Find the percentage increase in his savings.

Correct Answer: B [65%]

Explanation:

Answer: 65%. Take income 100: savings 20.

19.  
A job takes 14 days for either 12 men or 18 women. How long will a team of 8 men and 16 women take?

Correct Answer: A [9 days]

Explanation:

1 man = 1.5 women → 8 men + 16 women = 28 women → 18 × 14/28 = 9 days.

20.  
A thief flees on foot at 10 km/h. Fifteen minutes later a constable sets off after him at 12 km/h. How long does the constable take to catch the thief?

Correct Answer: D [1 h 15 min]

Explanation:

Lead = 10 × 1/4 = 2.5 km; gain 2 km/h → 2.5/2 = 1.25 h = 1 h 15 min.

21.  

Directions (Q 71–74): The pie chart shows the distribution of the 3,600 employees of a company among six departments; the central angles are given (fictional data).

Pie chartFind the number of employees in the Production department.

Correct Answer: D [1,260]

Explanation:

Answer: 1,260. 126/360 × 3,600 = 1,260.

22.  
(Use the directions above – Q 71–74)
Pie chartBy how many does the number of Sales employees exceed the number of Accounts employees?

Correct Answer: B [360]

Explanation:

Answer: 360. (72 − 36) × 10 = 360.

23.  
(Use the directions above – Q 71–74)
Pie chartR&D employees are what per cent of the company's total staff?

Correct Answer: A [15%]

Explanation:

Answer: 15%. 54/360 × 100 = 15%.

24.  
(Use the directions above – Q 71–74)
Pie chartIf 30% of the Production staff are women, how many women work in Production?

Correct Answer: C [378]

Explanation:

Answer: 378. 30% of 1,260 = 378.

25.  
A merchant has 1,000 kg of sugar. He sells part of it at 8% profit and the rest at 18% profit, gaining 14% on the whole. How much did he sell at 18% profit?

Correct Answer: D [600 kg]

Explanation:

(14 − 8) : (18 − 14) = 6 : 4 → 18% part = 6/10 × 1,000 = 600 kg.

➤ 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