SSC CGL Mock – Tier I Mock Test 02 – Section C · Quantitative Aptitude

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SSC CGL Mock – Tier I Mock Test 02 – 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.

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1.  
By selling just 12 pens, a shopkeeper receives the amount that 15 pens cost him. Find his gain per cent.

Correct Answer: B [25%]

Explanation:

Profit of 3 pens on the cost of 12 pens → 3/12 = 25%.

2.  
A festival sale gives 20% off and then a further 10% off the reduced price. What single discount gives the same final price?

Correct Answer: C [28%]

Explanation:

Answer: 28%. 0.8 × 0.9 = 0.72 → 28%.

3.  
A four-sided field has its corner angles in the proportion 3 : 4 : 5 : 6. Find the largest corner angle.

Correct Answer: A [120°]

Explanation:

Answer: 120°. 360° × 6/18 = 120°.

4.  
The perpendicular from the centre of a circle to a chord of length 16 cm is 6 cm long. How long is the radius?

Correct Answer: D [10 cm]

Explanation:

Half-chord 8, distance 6 → r = √(64 + 36) = 10 cm.

5.  
In triangle ABC the median from A to side BC is 21 cm long. How far is the centroid G from vertex A?

Correct Answer: A [14 cm]

Explanation:

The centroid divides a median 2 : 1 from the vertex → AG = 2/3 × 21 = 14 cm.

6.  
If Neeraj walks to school at 4 km/h he is 7 minutes late, but at 5 km/h he is 8 minutes early. Find the distance from his home to school.

Correct Answer: B [5 km]

Explanation:

The time difference is 15 min = 1/4 h: d/4 − d/5 = 1/4 → d = 5 km.

7.  
A wire 176 cm long is bent into a circle. What area does the circle enclose? (Take π = 22/7)

Correct Answer: C [2,464 cm²]

Explanation:

2πr = 176 → r = 28 cm → area = 22/7 × 784 = 2,464 cm².

8.  
Find the total surface area of a cuboid measuring 12 cm × 8 cm × 5 cm.

Correct Answer: C [392 cm²]

Explanation:

Answer: 392 cm². 2(96 + 40 + 60) = 392 cm².

9.  
Simplify: (x + 3)(x − 3) − (x − 2)²

Correct Answer: B [4x − 13]

Explanation:

x² − 9 − (x² − 4x + 4) = 4x − 13.

10.  
If x + y = 9 and xy = 14, find x² − xy + y².

Correct Answer: D [39]

Explanation:

x² − xy + y² = (x + y)² − 3xy = 81 − 42 = 39.

11.  
For what value of k is (x − 2) a factor of x² + kx + 6?

Correct Answer: A [−5]

Explanation:

Put x = 2: 4 + 2k + 6 = 0 → k = −5.

12.  
Multiply 2⁴¹, 3⁴² and 7⁴³ together. In which digit does the product end?

Correct Answer: B [4]

Explanation:

Cycles of 4: 2⁴¹ ends in 2, 3⁴² ends in 9, 7⁴³ ends in 3; 2 × 9 × 3 = 54 → 4.

13.  
Simplify: 3/4 of 2/5 of 1,240 + 15% of 360

Correct Answer: A [426]

Explanation:

3/4 × 2/5 × 1,240 = 372; 15% of 360 = 54; total 426.

14.  
Cooking oil becomes 25% costlier. A household wants its monthly oil bill to stay exactly the same. By how much (in per cent) must it cut its use of oil?

Correct Answer: D [20%]

Explanation:

Cut = 25/(100 + 25) × 100 = 20%.

15.  
For an acute angle θ with cos θ = 5/13, evaluate tan θ + sec θ.

Correct Answer: C [5]

Explanation:

sin θ = 12/13 → 12/5 + 13/5 = 5.

16.  
Find the value of sin 25° sec 65° + cos 31° cosec 59°.

Correct Answer: C [2]

Explanation:

sec 65° = cosec 25° and cosec 59° = sec 31° → 1 + 1 = 2.

17.  
What is the average of all the multiples of 7 that lie between 50 and 150?

Correct Answer: A [101.5]

Explanation:

The multiples run from 56 to 147 in equal steps → average = (56 + 147)/2 = 101.5.

18.  
In what ratio must tea costing ₹ 180 per kg be mixed with tea costing ₹ 240 per kg so that the mixture costs ₹ 220 per kg?

Correct Answer: D [1 : 2]

Explanation:

Alligation: (240 − 220) : (220 − 180) = 20 : 40 = 1 : 2.

19.  
Ramesh invests ₹ 10,000 at 10% a year, compounded every year. What will his investment be worth after 2 years?

Correct Answer: B [₹ 12,100]

Explanation:

Answer: ₹ 12,100. 10,000 × 1.1² = 12,100.

20.  
What is the mean proportional between 12 and 75?

Correct Answer: C [30]

Explanation:

Answer: 30. √(12 × 75) = √900 = 30.

21.  
Pipe A can fill a tank in 6 hours and pipe B can empty the full tank in 9 hours. If both are opened together on an empty tank, how long will it take to fill?

Correct Answer: A [18 hours]

Explanation:

Answer: 18 hours. 1/6 − 1/9 = 1/18 → 18 hours.

22.  

Directions (Q 72–75): The bar chart shows the number of students of a coaching academy who cleared an examination in five years (fictional data).

Bar chartWhat is the average number of students who cleared the examination per year?

Correct Answer: D [104]

Explanation:

(80 + 95 + 110 + 105 + 130)/5 = 104.

23.  
(Use the directions above – Q 72–75)
Bar chartCompared with the year before it, which year showed the biggest jump in the number of successful students?

Correct Answer: B [2025]

Explanation:

Changes: +15, +15, −5, +25 → 2025.

24.  
(Use the directions above – Q 72–75)
Bar chartTaking 2021 as the base, the 2025 figure is higher by what per cent?

Correct Answer: A [62.5%]

Explanation:

Answer: 62.5%. (130 − 80)/80 × 100 = 62.5%.

25.  
(Use the directions above – Q 72–75)
Bar chartIn how many of the five years was the number above the five-year average?

Correct Answer: B [3]

Explanation:

Average 104: 2023, 2024 and 2025 are above it → 3.

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