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Aptitude - Number System Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Number System. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
Answer : C
Explanation
= 10009⁄1026
= (103)9⁄1026
= 1027⁄1026
= 1027 - 26
= 10
Answer : D
Explanation
Divisibility by 3: if sum of the digits is divisible by 3 then original number is divisible by 3. 413976, sum of digits is 30 thus the number is divisible by 3.
Q 3 - On dividing a number by 5, we get remainder as 3. What will be the remainder when the square of this number is divided by 5?
Answer : D
Explanation
Let number be p
Dividing p by 5, we get k as quotient and remainder as 3
p = 5k + 3 ->
p2 = (5k + 3)2 p = (25k2 + 30k + 9)
p = 5 (5k2 + 6k + 1) + 4
Therefore, we get 4 as remainder on dividing p2 by 5.
Q 4 - It is being given that (232) + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Answer : C
Explanation
Let 232 = p
-> (232 + 1) = p + 1
Let (p + 1) be completely divisible by natural number Z. Then->
(296 + 1) = [(232)3 + 1]
As (p3 + 1) = (p + 1)(p2 - p + 1), which is completely divisible by Z, since (p + 1) is completely divisible by Z.
Answer : A
Explanation
a = 6, d = 9, l = 123
Let number of terms be n
123 = a + (n - 1)d
123 = 6 + (n - 1)9
123 = 9n - 9
n = 14
Sn = n⁄2 (a + l)
= 14⁄2 (6 + 123)
= 7 x 129
= 903
Answer : B
Explanation
795 = (74)23 x 73 So Unit digit in 795 = Unit digit in 1 x 343 = 3 358 = (34)14 x 32 So Unit digit in 358 = Unit digit in 1 x 9 = 9 So Unit digit in 795 - 358 = Unit digit in 13 - 9 = 4.
Answer : B
Explanation
y =5358 x 51 =5358 x (50 + 1) =5358 x 50 + 5358 =267900 + 5358 =273258
Answer : A
Explanation
y = 1008 x 992 = (1000 + 8) x (1000 - 8) Using formulae (a+b)(a-b) = a2 - b2 ∴ y = (1000)2 - (8)2 = 1000000 - 64 = 999936
Q 9 - Which of the following will always divide difference between squares of two consecutive even numbers completely?
Answer : B
Explanation
let a = 2n , b = 2n + 2 => (b)2 - (a)2 = (2n + 2))2 - (2n)2 = 4[(n + 1)2 - (n)2] = 4(2n + 1) Which is always divisible by 4.
Answer : B
Explanation
6n2 + 6n = 6(n)(n+1) As n(n+1) is always even so number is divisible by 12 as well.