Priya and her friends played a game using number cards. The game was somewhat similar to the BINGO game. Each one was given a number card with different set of numbers. One person called out the numbers. The others had to cross out the numbersif the called out number is a prime number and if it is present in their cards. The card that Priya got is given below. Based on the numbers in the card, answer the following questions :
1
12
23
14
15
6
7
8
9
30
21
2
13
4
25
16
27
18
19
20
11
22
3
24
5
26
17
28
29
10
i. The maximum number of numbers that Priya would have crossed in her card is
a. 10 b. 8 c. 9
ii. The pair of Twin prime numbers that are present in Priya’s cad is :
a. 11,12 b. 3,5 c. 29,31
iii. The number of even composite numbers in the card is :
a. 13 b. 15 c. 14
iv. The perfect numbers that are present in Priya’s card are:
Answers
Solution :-
The card that Priya got :- 1, 12 , 23 , 14 , 15 , 6 , 7 , 8, 9, 30, 21, 2 , 13, 4, 25, 16, 27, 18, 19 , 20, 11, 22 , 3 , 24, 5, 26, 17, 28, 29, 10 = Total 30 .
So,
→ The pair of Twin prime numbers that are present in Priya’s cad is = Numbers which have HCF 1 and difference between them is 2 = (3, 5), (5, 7), (11, 13) and (17, 19) .
Option (b) 3, 5 is correct answer .
now,
→ The number of even composite numbers in the card is = 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28 and 30 = 14 numbers .
Option (c) 14 is correct answer.
and,
→ The perfect numbers that are present in Priya’s card are = Number which is equal to sum of his proper factors = 6(1 + 2 + 3) and 28(1 + 2 + 4 + 7 + 14) .
Learn more :-
the average age of 30 students is 9 years if the age of their teacher is included it becomes 10 years ago the age of the...
https://brainly.in/question/15081594
The average of three numbers is 28. If the smallest number is increased by 7 and the greatest number is reduced by 10, t...
https://brainly.in/question/29759097