Information and Communication Technology - Number System
32. When the number 398 is divided by 5, the remainder is
- Option : B
- Explanation : Unit digit in 398 = Unit digit in
(34)24 x Unit digit in(32) = 9
:. Dividing 398 by 5 or dividing 9 by 5,
we get the remainder 4.
33. The product of two whole numbers is 24. The smallest possible sum of these numbers is
- Option : A
- Explanation : ∴ Product of two whole numbers is 24.
Possible pairs = (1, 24), (2, 12), (3,8), (4,6)
∴ Sum of these pairs
(1, 24) = 1 + 24 = 25
(2,12) = 2 + 12 = 14
(3,8) = 3 + S = 11, (4,6) = 4 + 6 = 10
∴ Smallest possible sum = 10
- Option : C
- Explanation : x = 597 x 1022 + 73.5 x 1021
= 5970 X 1021 + 73.5 X 1021
= 6043.5 X 1021 = 6.0435 X 1024
On compare with 6.0435 x 10m,
we get m = 24
35. Which of the following is an irrational number?
- Option : B
- Explanation : From the given options,√11 cannot be written in the form of p/q.So, it is an irrational number.
