SSC CGL Quant – Number System – Level 3 · Challenge
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9,800 = 2³ × 5² × 7²: every power must be a multiple of 3 → multiply by 5 × 7 = 35 (3,43,000 = 70³).
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SSC CGL Quant – Number System – Level 3 · Challenge – 11 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.
The smallest 4-digit number exactly divisible by 12, 15 and 18 is:
Correct Answer: B [1,080]
Explanation:
LCM = 180; 180 × 6 = 1,080 is the first multiple above 999.
2.
The largest 4-digit number which leaves remainder 5 when divided by 12, 18 or 30 is:
Correct Answer: A [9,905]
Explanation:
LCM = 180; 9,999 ÷ 180 → 55 → 180 × 55 = 9,900; + 5 = 9,905.
3.
What is the remainder when 37 × 41 × 43 is divided by 9?
Correct Answer: A [8]
Explanation:
Remainders 1, 5, 7 → 1 × 5 × 7 = 35 → 35 ÷ 9 leaves 8.
4.
The sum of all the factors of 200 is:
Correct Answer: D [465]
Explanation:
200 = 2³ × 5² → (1 + 2 + 4 + 8)(1 + 5 + 25) = 15 × 31 = 465.
5.
The HCF of 2⁴ × 3³ × 5, 2² × 3⁵ × 7 and 2³ × 3² × 5² is:
Correct Answer: C [36]
Explanation:
Lowest common powers: 2² × 3² = 36 (5 and 7 are not in all three).
6.
How many numbers from 1 to 400 are divisible by 6 or 9?
Correct Answer: B [88]
Explanation:
66 + 44 − (multiples of 18: 22) = 88.
7.
A number leaves remainder 4 when divided by 6. What remainder does its square leave when divided by 6?
Correct Answer: A [4]
Explanation:
Product rule: 4 × 4 = 16 → 16 ÷ 6 leaves 4.
8.
Statement-basedWhich is/are true?
I. The product of two irrational numbers can be rational.
II. The sum of a rational and an irrational number is always irrational.
I. The product of two irrational numbers can be rational.
II. The sum of a rational and an irrational number is always irrational.
Correct Answer: D [Both I and II]
Explanation:
I: √2 × √8 = 4. II: if r + x were rational, x = (r + x) − r would be rational.
9.
A number, divided successively by 4 and 5, leaves remainders 1 and 3. What remainder does it leave when divided by 20?
Correct Answer: B [13]
Explanation:
N = 4q + 1 and q = 5k + 3 → N = 20k + 13 → remainder 13 (= 4 × 3 + 1).
10.
A two-digit number and the number formed by reversing its digits differ by 45. What is the difference between its digits?
Correct Answer: C [5]
Explanation:
(10a + b) − (10b + a) = 9(a − b) = 45 → a − b = 5.
11.
The least number by which 9,800 must be multiplied to make a perfect cube is:
Correct Answer: C [35]
Explanation:
9,800 = 2³ × 5² × 7²: every power must be a multiple of 3 → multiply by 5 × 7 = 35 (3,43,000 = 70³).
➤ 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
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