Aptitude - Numbers
Why should I learn to solve Aptitude questions and answers section on "Numbers"?
Learn and practise solving Aptitude questions and answers section on "Numbers" to enhance your skills so that you can clear interviews, competitive examinations, and various entrance tests (CAT, GATE, GRE, MAT, bank exams, railway exams, etc.) with full confidence.
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Where can I get the Aptitude section on "Numbers" MCQ-type interview questions and answers (objective type, multiple choice)?
Here you can find multiple-choice Aptitude questions and answers based on "Numbers" for your placement interviews and competitive exams. Objective-type and true-or-false-type questions are given too.
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How do I solve Aptitude quiz problems based on "Numbers"?
You can easily solve Aptitude quiz problems based on "Numbers" by practising the given exercises, including shortcuts and tricks.
- Numbers - Formulas
- Numbers - General Questions
(112 x 5^{4}) = 112 x | 10 | 4 | = | 112 x 10^{4} | = | 1120000 | = 70000 | ||
2 | 2^{4} | 16 |
Let 2^{32} = x. Then, (2^{32} + 1) = (x + 1).
Let (x + 1) be completely divisible by the natural number N. Then,
(2^{96} + 1) = [(2^{32})^{3} + 1] = (x^{3} + 1) = (x + 1)(x^{2} - x + 1), which is completely divisible by N, since (x + 1) is divisible by N.
23) 1056 (45 92 --- 136 115 --- 21 --- Required number = (23 - 21) = 2.
1397 x 1397 | = (1397)^{2} |
= (1400 - 3)^{2} | |
= (1400)^{2} + (3)^{2} - (2 x 1400 x 3) | |
= 1960000 + 9 - 8400 | |
= 1960009 - 8400 | |
= 1951609. |