Consider following statement: A. The average of all prime numbers between 30 and 50 is 37.8. B. 16% of X is 40. The value of X is 240. C. The unit's digit in the product (255 × 27 × 182 × 39) is zero. Which of the above statements is/are true?

Question

Consider following statement: A. The average of all prime numbers between 30 and 50 is 37.8. B. 16% of X is 40. The value of X is 240. C. The unit's digit in the product (255 × 27 × 182 × 39) is zero. Which of the above statements is/are true?

A and C only
B and C only
C only
A and B only

LohaHridoy

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2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 3 : C only

Formula Used:

Average = Sum of all observations/Number of observations

Concept Used:

Prime Numbers: Numbers have only 2 factors 1 and the number itself is called a prime number.

Calculation:

Option:1

Prime numbers between 30 and 50 are 31, 37,41, 43, 47

Sum of observation = 31+ 37 + 41 + 43 + 47 = 199

Number of observation = 5

⇒ Average = 199/5 = 39.8

∴ Incorrect option.

Option: 2

16% of 240 = 38.4

⇒ 38.4 ≠ 40

or, 16/100 × x = 40

Then, x = 250 ≠ 240

∴ Incorrect option.

Option: 3

255 × 27 × 182 × 39

255 × 182

⇒ The unit's digit in the product is zero.

0 × 27

⇒ The unit's digit in the product is zero.

0 × 39

⇒ The unit's digit in the product is zero.

⇒ The unit's digit in the product (255 × 27 × 182 × 39) is zero.

∴ Correct option

The correct option is 3 i.e. C only