Which of the following numbers is divisible by 99
(a) 913462
(b) 114345
(c) 135792
(d) 3572406
Solution:
Difference of the sum of the alternate digits is zero which is the condition for divisibility by 11. Sum of all its digits is divisible by 9 which is the condition for divisibility by 9
(a) 913462 is divisible by 11 but is not divisible by 9
(b) 114345 is divisible by 11 as well as divisible by 9.
(c) 135792 is not divisible by 11 but divisible by 9.
(d) 3572406 is not divisible by 11 but divisible by 9.
Therefore the number which is divisible by 99 is 114345.
Correct answer is choice (b).
✦ Try This: Which of the following numbers is divisible by 88 (a) 913488, (b) 1243264, © 155782, (d) 3572408
Difference of the sum of the alternate digits is zero which is the condition for divisibility by 11. The last three digits of a number should be divisible by 8.
(a) 913488 is not divisible by 11 but is divisible by 8
(b) 1243264 is divisible by 11 as well as divisible by 8.
(c) 155782 is divisible by 11 but not divisible by 8.
(d) 3572408 is not divisible by 11 but divisible by 8
Therefore the number which is divisible by 88 is 1243264
The correct answer is (b).
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 16
NCERT Exemplar Class 8 Maths Chapter 13 Problem 17
Which of the following numbers is divisible by 99 (a) 913462, (b) 114345, (c) 135792, (d) 3572406
Summary:
Of the numbers given the one divisible by 99 is (b) i.e. 114345
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