Class-6 Math Chapter-3: Excercise 3.3 Solutions

Exercise 3.3

Q1. Using divisibility test, determine which of the following numbers are divisible by 2; by 3; by 4; by 5; by 6; by 8; by 9; by 10; by 11. (Say yes or no)

Answer.

Number Divisible by
2 3 4 5 6 8 9 10 11
128 Yes No Yes No No Yes No No No
990 Yes Yes No Yes Yes No Yes Yes Yes
1586 Yes No No No No No No No No
275 No No No Yes No No No No Yes
6686 Yes No No No No No No No No
639210 Yes Yes No Yes Yes No No Yes Yes
429714 Yes Yes No No Yes No Yes No No
2856 Yes Yes Yes No Yes Yes No No No
3060 Yes Yes Yes Yes Yes No Yes Yes No
406839 No Yes No No No No No No No

 

Q2. Using divisibility test, determine which of the following numbers are divisibly by 4; by 8:

(a) 572

(b) 726352

(c) 5500

(d) 6000

(e) 12159

(f) 14560

(g) 21084

(h) 31795072

(i) 1700

(j) 2150

Answer.

(a) 572 ® Divisible by 4 as its last two digits are divisible by 4.

® Not divisible by 8 as its last three digits are not divisible by 8.

(b) 726352 ® Divisible by 4 as its last two digits are divisible by 4. ® Divisible by 8 as its last three digits are divisible by 8. (c) 5500 ® Divisible by 4 as its last two digits are divisible by 4. ® Not divisible by 8 as its last three digits are not divisible by 8. (d) 6000 ® Divisible by 4 as its last two digits are 0. ® Divisible by 8 as its last three digits are 0. (e) 12159 ® Not divisible by 4 and 8 as it is an odd number. (f) 14560 ® Divisible by 4 as its last two digits are divisible by 4. ® Divisible by 8 as its last three digits are divisible by 8. (g) 21084 ® Divisible by 4 as its last two digits are divisible by 4. ® Not divisible by 8 as its last three digits are not divisible by 8. (h) 31795072 ® Divisible by 4 as its last two digits are divisible by 4. ® Divisible by 8 as its last three digits are divisible by 8. (i) 1700 ® Divisible by 4 as its last two digits are 0. ® Not divisible by 8 as its last three digits are not divisible by 8. (j) 5500 ® Not divisible by 4 as its last two digits are not divisible by 4. ® Not divisible by 8 as its last three digits are not divisible by 8.

 

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