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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 : D
Explanation
Unit Digit in (384)1793 = Unit Digit in (4)1793 = Unit Digit in (42)896 x 4 = Unit Digit in (6 x 4) = 4 Unit Digit in (1035)317 = Unit Digit in (5)317 = 5 Unit Digit in (261)491 = Unit Digit in (1)491 = 1 Therefore, unit digit in (384)1793 x (1035)317 x (261)491 = Unit Digit in (4 x 5 x 1) = 0
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 - The difference of the squares of two consecutive even integers is divisible by which of the following integers?
Answer : D
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.
Answer : B
Explanation
a = 3, r = 6⁄2 = 2
Let number of terms = n
-> tn = 768
-> 768 = arn-1
-> 768 = 3 x 2n-1
-> 768⁄3 = 2n-1
-> 256 = 2n-1
-> 28 = 2n-1
-> n = 9
Therefore number of terms = 9
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 : C
Explanation
365 = (34)6 x 3 So Unit digit in 365 = Unit digit in 1 x 3 = 3 659 = (64)14 x 63 So Unit digit in 659 = Unit digit in 6 x 216 = 6 771 = (74)17 x 73 So Unit digit in 771 = Unit digit in 1 x 343 = 3 So Unit digit in 365 x 659 x 771 = Unit digit in 3 x 6 x 3 = 4.
Answer : C
Explanation
y = 935421 x 625 = 935421 x (5)4 = 935421 x (10/2)4 = (935421 x (10)4)/(2)4) = 935421 x 10000 / 16 = 9354210000 / 16 = 584638125
Answer : B
Explanation
y = 14927 x 567 - 14927 x 467 = 14927 x (567 - 467) = 14927 x 100 = 1492700
Q 9 - What is the largest number which can divide n3 - n for every natural number n?
Answer : A
Explanation
(2)3 - 2 = 6 ∴ 6 is the largest number which can divide n3 - n for every natural number n.
Q 10 - How many numbers are divisible by all 4,5 and 6 lying between 200 and 600.
Answer : B
Explanation
Each number should be divisible by L.C.M. of 4, 5 and 6 i.e. 60. So numbers are 240, 300, 360, 420, 480, 540. Count: 6
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