SSC CGL Quant – Mock Test M1 – Tier I Quantitative Aptitude – Mock M1 · Tier I · Quantitative Aptitude

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SSC CGL Quant – Mock Test M1 – Tier I Quantitative Aptitude – Mock M1 · 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.  
What is the last digit of the product 7⁹⁵ × 3⁵⁸?

Correct Answer: D [7]

Explanation:

7⁹⁵ ends in 3 (95 = 4 × 23 + 3) and 3⁵⁸ ends in 9 (58 = 4 × 14 + 2); 3 × 9 = 27 → 7.

2.  
The HCF of 391 and 667 is:

Correct Answer: C [23]

Explanation:

667 − 391 = 276; 391 − 276 = 115; 276 = 2 × 115 + 46; 115 = 2 × 46 + 23; 46 = 2 × 23 → 23.

3.  
The value of 0.41 + 0.34 is:

Correct Answer: A [25/33]

Explanation:

41/99 + 34/99 = 75/99 = 25/33 (0.75 forgets that the digits recur).

4.  
The population of a town is 50,000. It rises by 10% in one year and falls by 10% the next year. The population after two years is:

Correct Answer: B [49,500]

Explanation:

50,000 × 1.1 × 0.9 = 49,500 (a 1% net fall).

5.  
₹ 7,800 is divided among A, B and C in the ratio 1/2 : 1/3 : 1/4. C's share is:

Correct Answer: A [₹ 1,800]

Explanation:

× 12 → 6 : 4 : 3; one part = 7,800 ÷ 13 = 600; C = 3 × 600 = ₹ 1,800.

6.  
The present ages of P and Q are in the ratio 4 : 5. Six years ago the ratio was 7 : 9. The sum of their present ages is:

Correct Answer: B [108 years]

Explanation:

(4x − 6)/(5x − 6) = 7/9 → x = 12 → 48 + 60 = 108.

7.  
Goods are marked 40% above cost and sold at a 15% discount. The profit per cent is:

Correct Answer: D [19%]

Explanation:

1.4 × 0.85 = 1.19 → 19%.

8.  
The difference between compound interest and simple interest on a sum for 2 years at 5% per annum is ₹ 50. The sum is:

Correct Answer: C [₹ 20,000]

Explanation:

Difference = P × (5/100)² → P = 50 × 400 = ₹ 20,000.

9.  
A 60-litre can holds milk and water in the ratio 3 : 1. The water to be poured in to change the ratio to 3 : 2 is:

Correct Answer: B [15 litres]

Explanation:

Milk 45 L, water 15 L; water must be 30 L → add 15 L.

10.  
A and B together can finish a job in 15 days. A alone can finish it in 24 days. In how many days can B alone finish it?

Correct Answer: D [40 days]

Explanation:

1/15 − 1/24 = (8 − 5)/120 = 1/40 → 40 days (9 is the plain difference 24 − 15).

11.  
A train 150 m long running at 54 km/h crosses a bridge 300 m long in:

Correct Answer: A [30 seconds]

Explanation:

54 km/h = 15 m/s; (150 + 300)/15 = 30 s.

12.  
A boat goes downstream at 18 km/h and upstream at 12 km/h. The speed of the stream is:

Correct Answer: C [3 km/h]

Explanation:

(18 − 12)/2 = 3 km/h.

13.  
Two-quantity comparison
Quantity I: 15% of 840
Quantity II: 12% of 1,050

Correct Answer: C [Quantity I = Quantity II]

Explanation:

Both are 126.

14.  
Statement-basedWhich is/are correct?
I. Every prime number greater than 3 leaves remainder 1 or 5 when divided by 6.
II. The sum of any two prime numbers is even.

Correct Answer: A [Only I]

Explanation:

I is true (other remainders give multiples of 2 or 3); II is false: 2 + 3 = 5.

15.  
If a + b = 11 and ab = 28, then a³ + b³ = ?

Correct Answer: C [407]

Explanation:

(a + b)³ − 3ab(a + b) = 1,331 − 924 = 407.

16.  
If p + q + r = 0 and pqr = 5, then p³ + q³ + r³ = ?

Correct Answer: B [15]

Explanation:

When p + q + r = 0, p³ + q³ + r³ = 3pqr = 15.

17.  
The angles of a triangle are in the ratio 3 : 5 : 7. Its smallest angle is:

Correct Answer: D [36°]

Explanation:

180 × 3/15 = 36°.

18.  
From a point P, 25 cm away from the centre of a circle of radius 7 cm, a tangent PT is drawn. PT = ?

Correct Answer: B [24 cm]

Explanation:

The radius meets the tangent at 90°: √(25² − 7²) = √576 = 24 cm.

19.  
The circumference of a circle is 88 cm. Its area is (take π = 22/7):

Correct Answer: A [616 cm²]

Explanation:

r = 88 × 7/44 = 14; πr² = 616 cm².

20.  
The total surface area of a cube is 486 cm². Its volume is:

Correct Answer: D [729 cm³]

Explanation:

6a² = 486 → a = 9 → 729 cm³.

21.  
If θ is acute and tan θ = 3/4, then sin θ + cos θ = ?

Correct Answer: C [7/5]

Explanation:

3-4-5 triangle: 3/5 + 4/5 = 7/5.

22.  
sin 25° ÷ cos 65° = ?

Correct Answer: A [1]

Explanation:

cos 65° = sin 25° (complementary angles).

23.  

Directions (Q 23–25): The table shows the rice produced (thousand tonnes) by four districts in two years (fictional data).

District 2024 2025
A 120 150
B 90 99
C 150 135
D 80 116
Data tableIn which district did production grow the fastest in percentage terms?

Correct Answer: B [D]

Explanation:

A 25%, B 10%, C −10%, D 36/80 = 45% → D.

24.  
(Use the directions above – Q 23–25)
Data tableWhat is the ratio of district A's production to district C's production in 2025?

Correct Answer: C [10 : 9]

Explanation:

150 : 135 = 10 : 9.

25.  
(Use the directions above – Q 23–25)
Data tableWhat is the average production per district in 2025?

Correct Answer: D [125 thousand tonnes]

Explanation:

150 + 99 + 135 + 116 = 500 → 500 ÷ 4 = 125 (2024: 440 ÷ 4 = 110).

➤ 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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