SSC CGL Quant – Speed Rounds – Level 1 · Speed Round 1 · Tier I Sprint

← Back

SSC CGL Quant – Speed Rounds – Level 1 · Speed Round 1 · Tier I Sprint – 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.

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.  
What is the value of 15% of 480 + 25% of 240?

Correct Answer: B [132]

Explanation:

Percentage – 72 + 60 = 132.

2.  
Simplify: 18 ÷ 3 × 2 + 4² − 5

Correct Answer: D [23]

Explanation:

Simplification – 18 ÷ 3 = 6; 6 × 2 = 12; 12 + 16 − 5 = 23 (÷ and × left to right).

3.  
What is the LCM of 14, 21 and 35?

Correct Answer: C [210]

Explanation:

Number system – 2 × 3 × 5 × 7 = 210.

4.  
What is the HCF of 96 and 144?

Correct Answer: A [48]

Explanation:

Number system – 96 = 2 × 48, 144 = 3 × 48 → HCF 48.

5.  
What is the unit digit of 7²³?

Correct Answer: B [3]

Explanation:

Unit digit – the cycle of 7 is 7, 9, 3, 1; 23 = 4 × 5 + 3 → third term = 3.

6.  
If A : B = 5 : 6 and B : C = 4 : 7, then A : B : C is:

Correct Answer: A [10 : 12 : 21]

Explanation:

Ratio – make B equal: 5 : 6 = 10 : 12 and 4 : 7 = 12 : 21 → 10 : 12 : 21.

7.  
What is the average of the first 15 odd natural numbers?

Correct Answer: C [15]

Explanation:

Average – the sum of the first n odd numbers is n², so the average is n = 15.

8.  
An article is sold for ₹ 1,150 at a profit of 15%. What is its cost price?

Correct Answer: D [₹ 1,000]

Explanation:

Profit – CP = 1150 × 100/115 = 1000.

9.  
The marked price of a fan is ₹ 3,600 and a discount of 12.5% is given. What is the selling price?

Correct Answer: D [₹ 3,150]

Explanation:

Discount – 12.5% = 1/8; 3600 − 450 = 3150.

10.  
What is the simple interest on ₹ 8,000 at 6% per annum for 3 years?

Correct Answer: B [₹ 1,440]

Explanation:

Simple interest – 8000 × 6 × 3/100 = 1440 (₹ 1,528 is the compound interest, rounded).

11.  
What is the compound interest on ₹ 15,000 at 8% per annum for 2 years, compounded annually?

Correct Answer: A [₹ 2,496]

Explanation:

Compound interest – 8% + 8% + 0.64% = 16.64% of 15,000 = 2,496.

12.  
A can finish a work in 16 days and B in 24 days. Working together, in how many days will they finish it?

Correct Answer: C [9.6]

Explanation:

Time and work – LCM 48 units; rates 3 + 2 = 5 per day → 48/5 = 9.6 days.

13.  
A 210 m long train runs at 63 km/h. In how many seconds will it pass a signal pole?

Correct Answer: A [12]

Explanation:

Speed – 63 km/h = 63 × 5/18 = 17.5 m/s; 210/17.5 = 12 s.

14.  
54 km/h is equal to how many metres per second?

Correct Answer: D [15]

Explanation:

Speed – 54 × 5/18 = 15 m/s.

15.  
A 60-litre can holds milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?

Correct Answer: C [5]

Explanation:

Mixture – milk 35 L stays, water 25 L; for 7 : 6 water must be 30 L → add 5 L.

16.  
If x + 1/x = 9, what is the value of x² + 1/x²?

Correct Answer: B [79]

Explanation:

Algebra – (x + 1/x)² − 2 = 81 − 2 = 79.

17.  
If a + b = 13 and ab = 40, what is the value of a² + b²?

Correct Answer: C [89]

Explanation:

Algebra – 169 − 2 × 40 = 89 (a, b = 5, 8).

18.  
Solve: 4x − 9 = x + 12

Correct Answer: D [7]

Explanation:

Linear equation – 3x = 21 → x = 7.

19.  
The angles of a triangle are in the ratio 4 : 5 : 6. What is the largest angle?

Correct Answer: A [72°]

Explanation:

Triangle – 180 × 6/15 = 72°.

20.  
What is each exterior angle of a regular polygon with 20 sides?

Correct Answer: B [18°]

Explanation:

Polygon – 360 ÷ 20 = 18° (162° is the interior angle).

21.  
The circumference of a circle is 132 cm. What is its area? (Take π = 22/7)

Correct Answer: D [1386 cm²]

Explanation:

Circle – 2πr = 132 → r = 21; area = 22/7 × 441 = 1386 cm².

22.  
The diagonal of a cube is 6√3 cm. What is its volume?

Correct Answer: C [216 cm³]

Explanation:

Cube – diagonal = a√3 → a = 6; volume = 216 cm³.

23.  
What is the value of sin 30° + cos 60° + tan 45°?

Correct Answer: B [2]

Explanation:

Trigonometry – 1/2 + 1/2 + 1 = 2.

24.  
If tan θ = 5/12 and θ is acute, what is sin θ?

Correct Answer: A [5/13]

Explanation:

Trigonometry – sides 5, 12, 13 (triplet); sin θ = 5/13.

25.  
The average of 13, 17, 22 and x is 18. What is x?

Correct Answer: D [20]

Explanation:

Average – total 72 − 52 = 20.

➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Quantitative Aptitude book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-quantitative-aptitude

📘 TNPSC திறனறிவும் மனக்கணக்கு நுண்ணறிவும் (Aptitude & Mental Ability) – முழுமையான பாடநூல்
Here you get the answer with a one-line explanation. TNPSC திறனறிவு & காரணவியல் சிலபஸ் முழுவதும் · 14 அத்தியாயங்கள் + 2 அலகு மாதிரித் தேர்வுகள் · 357 பயிற்சி வினாக்கள் படிப்படியான தீர்வுடன் · மாதிரித் தாள்கள் (50 வினாக்கள்) · 14 மனவரைபடங்கள் · சூத்திரச் சுருக்கம், கணக்கு அட்டவணைகள்
Get the book – ₹199 ₹399 →
Score: 0 Answered: 0 / 0