# Category: Algebra

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## If x, y, and k are positive and x is less than y, then (x + k) / (y + k)Ā is – OGQR 2020 Question #80 with Solution

May 21, 2019

A < 1 min read OGQR 2020: Question No. 80 If x, y, and k are positive and x is less than y, then (x + k) / (y + k) is Source OGQR 2020 Type Problem Solving Topic Algebra Sub-Topic Ratio / Inequality Difficulty Medium...

Read More## If half the result obtained when 2 is subtracted from 5x is equal to the sum of 10 and 3x, what is the value of x? – OGQR 2020 Question #77 with Solution

May 21, 2019

A < 1 min read OGQR 2020: Question No. 77 If half the result obtained when 2 is subtracted from 5x is equal to the sum of 10 and 3x, what is the value of x? Source OGQR 2020 Type Problem Solving Topic Algebra Sub-Topic Linear...

Read More## How old is Jane? – OGQR 2020 Question #208 with Solution

May 20, 2019

A < 1 min read OGQR 2020: Question No. 208 How old is Jane? Ten years ago, she was one-third as old as she is now. In 15 years, she will be twice as old as she is now. Source OGQR 2020 Type Data Sufficiency Topic Algebra...

Read More## Last year PublisherĀ X published 1,100Ā books, consisting of first editions, revised editions, and reprints. How many first editions did PublisherĀ X publish last year? – OGQR 2020 Question #207 with Solution

May 20, 2019

A 2 min read OGQR 2020: Question No. 207 Last year Publisher X published 1,100 books, consisting of first editions, revised editions, and reprints. How many first editions did Publisher X publish last year? The...

Read More## In any sequence of n nonzero numbers, a pair of consecutive terms with opposite signs represents a sign change. For example, the sequence ā2, 3, ā4, 5 has three sign changes. Does the sequence of nonzero numbers s1, s2, s3, . . ., sn have an even number of sign changes? – OG 2020 Question #312 with Solution

May 20, 2019

A 2 min read OG 2020: Question No. 312 In any sequence of n nonzero numbers, a pair of consecutive terms with opposite signs represents a sign change. For example, the sequence ā2, 3, ā4, 5 has three sign changes. Does the...

Read More## If a and b are integers, and b > 0, does a-1 /b+1 = a/b? – OG 2020 Question #297 with Solution

May 20, 2019

A < 1 min read OG 2020: Question No. 297 If a and b are integers, and b > 0, does a-1 /b+1 = a/b? a = b ā 4 a = āb Source OG 2020 Type Data Sufficiency Topic Algebra Sub-Topic Linear Equations Difficulty Easy –...

Read More## Is x = y? – OG 2020 Question #373 with Solution

May 20, 2019

A < 1 min read OG 2020: Question No. 373 Is x = y? 2x/3 – y/3 = 1/3 x/ 4 – y/4 = 0 Source OG 2020 Type Data Sufficiency Topic Algebra Sub-Topic Simple Algebric Expression Difficulty Easy – Medium Solution...

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## Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (t and y are positive integers.) – OG 2020 Question #313 with Solution

May 20, 2019

A 2 min read OG 2020: Question No. 313 Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (t and y are positive integers.) y ā„ 15...

Read More## After the first two terms in a sequence of numbers, each term in the sequence is formed by adding all of the preceding terms. – OG 2020 Question #326 with Solution

May 15, 2019

A 2 min read Ā OG 2020: Question No. 326 After the first two terms in a sequence of numbers, each term in the sequence is formed by adding all of the preceding terms. Is 12 the fifth term in the sequence? The sum of the first 3...

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