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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
Unit Digit = Unit Digit in (6 x 4 x 8) = 2
Q 2 - (568 x 568 x 568 + 432 x 432 x 432) / (568 x 568 - 568 x 432 + 432 + 432) = ?
Answer : B
Explanation
This is solved using the following formulae:
(a3 + b3) = (a + b)( a2 - ab + b2)
The value of (a+b) =
(a3 + b3) / ( a2 - ab + b2) =
(568 + 432) = 1000
Q 3 - The difference of the squares of two consecutive even integers is divisible by which of the following integers?
Answer : C
Explanation
Let the consecutive integers(even) be 2p and (2p + 2):
= (2p + 2)2 - 2p2 = (2p + 2 + 2p)(2p + 2 -2p)
= 2(4p + 2)
= 4 (2p + 1)
Therefore, divisible by 4.
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.
Q 5 - I how many ways can 22500 be written as a product of two different factors?
Answer : C
Explanation
1502 = 22500
Therefore, 1502 = ((2)(5)(3)(5))2 = 225432
= 1⁄2{(2 + 1)(4 + 1)(2 + 1) - 1}
= 22
Answer : B
Explanation
Multiply unit digits of each number. Unit digit in 549 x 56 x 28p x 684 = 8 Unit digit in 9 x 6 x p x 4 = 8 Unit digit in 216 x p = 8 Thus p must be 3.
Answer : D
Explanation
y =1014 x 986 = 1014 x (1000 - 14) = 1014000 - 14196 = 999804
Answer : B
Explanation
y = 217 x 217 + 183 x 183 = (217)2 + (183)2 = (200 + 17)2 + (200 -17)2 Using formulae (a+b)2 = a2 + b2 + 2ab and (a-b)2 = a2 + b2 - 2ab (a+b)2 + (a-b)2 = 2(a2 + b2) ∴ y = 2 x [(200)2 + (17)2] = 2 x [40000 + 289] = 2 x 40289 = 80578
Q 9 - (a-b) divides an - bn completely if?
B - n is an even natural number.
Answer : A
Explanation
(a-b) divides an - bn completely for every natural number.
Answer : B
Explanation
6n2 + 6n = 6(n)(n+1) As n(n+1) is always even so number is divisible by 12 as well.