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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 : B
Explanation
= 20 + 15 x 3.5
= 20 + 15 x (7/2)
= 20 + 52.5
= 72.5
Answer : D
Explanation
131 has unit digit 3. 132 has unit digit 9. 133 has unit digit 7. 134 has unit digit 1. This will form a pattern 3-7-9-1. So 1332 has unit digit 1 and 1335 has unit digit as 7.
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.
Answer : A
Explanation
90 = 10 x 9
653pq is divisible by 10, so we can say that q = 0
Now,if 653p0 is divisible by 9.
So, (6 + 5 + 3 + p + 0) = (14 + p) is divisible by 9. So, p = 4.
Therefore, (p + q) = 4 + 0 = 4
Answer : D
Explanation
unit digit in (2137)754 = unit digit in (7)754 = unit digit in (74)188 x 72 = unit digit in (1 x 49) = 9 Thus Unit digit in (2137)754 is 9.
Answer : A
Explanation
916 x y x 3 = 214344 => 2748 x y = 214344 => y = 214344 / 2748 => y = 78
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 be an even number if a and b are odd numbers?
Answer : A
Explanation
Sum of two odd numbers is always even.
Answer : C
Explanation
Using formulae (a-b)2 = a2 + b2 - 2ab ab = (a2 + b2 - (a-b)2) / 2 => ab = [41 - (5)2] / 2 = 8