Number Theory – Page 18

Find-all-positive-integers-n-for-which-5-n-1-is-divisible-by-7-

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Question Number 113073 by bobhans last updated on 11/Sep/20 $Find all positive integers n for$ $which 5^{n} + 1 is divisible by 7$ Answered by john santu last updated on 11/Sep/20 $$\:\:{find}\:{all}\:{positive}\:{integers}\:{n}\:{such} \…

a-1-b-1-c-1-d-2-1-3-If-a-b-c-d-are-positive-integers-then-what-is-the-value-of-b-

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Question Number 113006 by Aina Samuel Temidayo last updated on 10/Sep/20 $a + \frac{1}{b + \frac{1}{c + \frac{1}{d + \dots}}} = \sqrt[3]{2}$ $If a, b, c, d, \dots are positive integers, then$ $what is the value of^{'} b^{'} ?$ Answered by mr W last updated on…

After-distributing-sweets-equally-among-25-children-8-sweets-remained-Had-the-number-of-children-been-28-22-sweets-would-have-been-left-after-equally-distributing-What-was-the-total-number-of-swee

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Question Number 113002 by Aina Samuel Temidayo last updated on 10/Sep/20 $After distributing sweets equally$ $among 25 children, 8 sweets$ $remained . Had the number of children$ $been 28, 22 sweets would have been$ $left after equally distributing . What$ $was the total number of sweets ?$ Answered…

Two-different-two-digit-natural-numbers-are-written-beside-each-other-such-that-the-larger-number-is-written-on-the-left-When-the-absolute-difference-of-the-two-numbers-is-subtracted-from-the-four-di

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Question Number 113005 by Aina Samuel Temidayo last updated on 10/Sep/20 $Two different two - digit natural$ $numbers are written beside each$ $other such that the larger number$ $is written on the left . When the$ $absolute difference of the two$ $numbers is subtracted from the$ $$\mathrm{four}−\mathrm{digit}\:\mathrm{number}\:\mathrm{so}\:\mathrm{formed},\:\mathrm{the} \…

The-first-23-natural-numbers-are-written-in-an-increasing-order-beside-each-other-to-form-a-single-number-What-is-the-remainder-when-this-number-is-divided-by-18-

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Question Number 113000 by Aina Samuel Temidayo last updated on 10/Sep/20 $The first 23 natural numbers$ $are written in an increasing order$ $beside each other to form a single$ $number . What is the remainder when$ $this number is divided by 18 ?$ Answered by floor(10²Eta[1])…

The-digits-of-a-three-digit-number-A-are-written-in-the-reverse-order-to-form-another-three-digit-number-B-If-B-gt-A-and-B-A-is-perfectly-divisible-by-7-Find-the-range-of-values-of-A-

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Question Number 113003 by Aina Samuel Temidayo last updated on 10/Sep/20 $The digits of a three - digit number A$ $are written in the reverse order to$ $form another three - digit number B .$ $If B > A and B - A is perfectly$ $divisible by 7 . Find the range of$ $values of A .$ Commented…

N-is-completely-divisible-by-13-52-What-is-the-sum-of-the-digits-of-the-smallest-such-number-N-

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Question Number 113001 by Aina Samuel Temidayo last updated on 10/Sep/20 $N! is completely divisible by 13^{52} .$ $What is the sum of the digits of the$ $smallest such number N ?$ Commented by MJS_new last updated on…

Product-of-divisors-of-7056-

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Question Number 112999 by Aina Samuel Temidayo last updated on 10/Sep/20 $Product of divisors of 7056 ?$ Answered by mr W last updated on 10/Sep/20 $$\mathrm{7056}=\mathrm{2}^{\mathrm{4}} ×\mathrm{3}^{\mathrm{2}} ×\mathrm{7}^{\mathrm{2}}…

If-x-y-z-1-and-x-y-z-are-positive-real-numbers-then-the-least-value-of-1-x-1-1-y-1-1-z-1-is-

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Question Number 112998 by Aina Samuel Temidayo last updated on 10/Sep/20 $If x + y + z = 1 and x, y, z are positive$ $real numbers, then the least value of$ $(\frac{1}{x} - 1) (\frac{1}{y} - 1) (\frac{1}{z} - 1) is$ Answered by MJS_new last updated on 11/Sep/20…

Find-the-last-digit-of-the-sum-19-81-4-9k-k-N-

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Question Number 112996 by Aina Samuel Temidayo last updated on 10/Sep/20 $Find the last digit of the sum$ $19^{81} + 4^{9 k}, k \in N$ Answered by Aziztisffola last updated on 10/Sep/20…

Category: Number Theory