SSC CGL Quant – Number System – Level 1 · Warm-up · Tier I Level

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SSC CGL Quant – Number System – Level 1 · Warm-up · Tier I Level – 12 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.  
Which of the following is an irrational number?

Correct Answer: C [√72]

Explanation:

72 is not a perfect square, so √72 = 6√2 is irrational; √81 = 9, 0.36 = 9/25 and 355/113 are rational.

2.  
The HCF of 108 and 156 is:

Correct Answer: A [12]

Explanation:

108 = 2² × 3³, 156 = 2² × 3 × 13 → 2² × 3 = 12.

3.  
The LCM of 18 and 24 is:

Correct Answer: D [72]

Explanation:

18 = 2 × 3², 24 = 2³ × 3 → 2³ × 3² = 72.

4.  
How many factors does 200 have?

Correct Answer: B [12]

Explanation:

200 = 2³ × 5² → (3 + 1)(2 + 1) = 12.

5.  
How many prime numbers lie between 50 and 70?

Correct Answer: B [4]

Explanation:

53, 59, 61, 67.

6.  
Which of the following pairs is co-prime?

Correct Answer: C [(15, 28)]

Explanation:

HCF(15, 28) = 1; the others share 7, 9 and 13.

7.  
The product of two numbers is 2,160 and their HCF is 12. Their LCM is:

Correct Answer: A [180]

Explanation:

LCM = 2,160 ÷ 12 = 180.

8.  
What is the remainder when 1,000 is divided by 7?

Correct Answer: D [6]

Explanation:

1,000 = 7 × 142 + 6.

9.  
The smallest number divisible by each of 9, 12 and 20 is:

Correct Answer: D [180]

Explanation:

LCM = 2² × 3² × 5 = 180.

10.  
2⁵ × 2³ ÷ 2⁴ = ?

Correct Answer: C [16]

Explanation:

Powers: 5 + 3 − 4 = 4 → 2⁴ = 16.

11.  
Fill in the blankThe only even prime number is ____.

Correct Answer: A [2]

Explanation:

Every other even number has the factor 2 besides 1 and itself.

12.  
Statement-basedWhich is/are correct?
I. 1 is a prime number.
II. Every whole number is an integer.

Correct Answer: B [Only II]

Explanation:

1 has only one factor, so it is not prime; W ⊂ Z, so II is true.

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