# Category: Number Properties

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### 2 interesting ways to apply GMAT Remainders concepts

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## Eight light bulbs numbered 1 through 8 are arranged in a circle as shown above. The bulbs are wired so that every third bulb, counting in a clockwise direction, flashes until all bulbs have flashed once. If the bulb numbered 1 flashes first, which numbered bulb will flash last? – OGQR 2020 Question #102 with Solution

May 21, 2019

A 2 min read OGQR 2020: Question No. 102 Eight light bulbs numbered 1 through 8 are arranged in a circle as shown above. The bulbs are wired so that every third bulb, counting in a clockwise direction, flashes until all bulbs...

Read More## If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers? – OGQR 2020 Question #86 with Solution

May 21, 2019

A 2 min read OGQR 2020: Question No. 86 If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers? Source OGQR 2020 Type Problem Solving Topic Number...

Read More## Is the average (arithmetic mean) of the numbers x, y, and z greater than z? – OG 2020 Question #320 with Solution

May 20, 2019

A 2 min read OG 2020: Question No. 320 Is the average (arithmetic mean) of the numbers x, y, and z greater than z? z ā x < y ā z x < z < y Source OG 2020 Type Data Sufficiency Topic Algebra, Number Properties Sub-Topic...

Read More## If x is an integer greater than 0, what is the remainder when x is divided by 4?- OG 2020 Question #318 with Solution

May 20, 2019

A 2 min read OG 2020: Question No. 318 If x is an integer greater than 0, what is the remainder when x is divided by 4? The remainder is 3 when x + 1 is divided by 4.The remainder is 0 when 2x is divided by 4. SourceOG...

Read More## If 2.00X and 3.00Y are 2 numbers in decimal form with thousandths digits X and Y, is 3(2.00X) > 2(3.00Y)? – OG 2020 Question #370 with Solution

May 14, 2019

A 2 min read OG 2020: Question No. 370 If 2.00X and 3.00Y are 2 numbers in decimal form with thousandths digits X and Y, is 3(2.00X) > 2(3.00Y)? 3X < 2Y X < Y ā 3 Source OG 2020 Type Data Sufficiency Topic...

Read More## A certain list, L, contains a total of n numbers, not necessarily distinct, that are arranged in increasing order. – OG 2020 Question #377 with Solution

May 14, 2019

A 2 min read OG 2020: Question No. 377 A certain list, L, contains a total of n numbers, not necessarily distinct, that are arranged in increasing order. If L1 is the list consisting of the first n1 numbers in L and L2 is the...

Read More## 7, 9, 6, 4, 5, x If x is a number in the list above, what is the median of the list? – OG 2020 Question #384 with Solution

May 14, 2019

A 2 min read OG 2020: Question No. 384 7, 9, 6, 4, 5, x If x is a number in the list above, what is the median of the list? x > 7 The median of the list equals the arithmetic mean of the list. Source OG 2020 Type Data...

Read More## What is the remainder when the positive integer n is divided by 5? – OG 2020 Question #310 with Solution

May 13, 2019

A 2 min read OG 2020: Question No. 310 What is the remainder when the positive integer n is divided by 5? When n is divided by 3, the quotient is 4 and the remainder is 1. When n is divided by 4, the remainder is 1. ...

Read More## Is n equal to zero? – OG 2020 Question #308 with Solution

May 13, 2019

A < 1 min read OG 2020: Question No. 308 Is n equal to zero? The product of n and some nonzero number is 0. The sum of n and 0 is 0. Source OG 2020 Type Data Sufficiency Topic Number Properties Sub-Topic Basics Difficulty...

Read More## If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T? – OG 2020 Question #307 with Solution

May 13, 2019

A 3 min read OG 2020: Question No. 307 If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T? R is between S and T.S is to the left of R, and T is to the right of R. SourceOG...

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