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Can someone break the second part of the us question down ?

The numbers a and b are both positive. What is the ratio of a to b ?

(1) The ratio of 4a + 3b to 5a + 12b is 3 to 4.

(2) The average (arithmetic mean) of a, 3a, 3b, 12b, and 14b is equal to a + b.
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aman_kumar
Jim needs to mix a solution in the following ratio: 1 part bleach for every 4 parts water. When mixing the solution, Jim makes a mistake and mixes in half as much bleach as he ought to have. The total solution consists of 18 mL. How much did Jim put into the solution? A. 1mL B. 2mL C. 3mL D. 4mL E. 5mL
If it is asking about bleach : it is 1.8 ml and as near answer . It should be B. 2ml

Mapat
D is a 3 digit number such that ratio of number to the sum of it’s digits is least. What is the difference between the digit at hundred’s place and the digit at unit’s place?
0 ?
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zachadam1999
Can someone break the second part of the us question down ? The numbers a and b are both positive. What is the ratio of a to b ? (1) The ratio of 4a + 3b to 5a + 12b is 3 to 4. (2) The average (arithmetic mean) of a, 3a, 3b, 12b, and 14b is equal to a + b.
(4a + 29b)/5 = a+b

4a + 29b = a + b

24b = a

Sufficient

* 4a + 29b = 5a + 5b
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Russellgmat
(4a + 29b)/5 = a+b 4a + 29b = a + b 24b = a Sufficient
Thank you @Russellg
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10 to the power 8- 10 to the power 2 divided by 10 to the power 7- 10 to the power 3

how to solve
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10^2(10^6 - 1 ) / 10^3(10^4 -1) : I think with addition and subtraction of exponents you have to factor but I’m not 100% someone might have a more clear explanation

*factor out common terms
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I tried doing that...the answer isnt matching..answer is 10
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10^2(10^6 -1)/10^3(10^4 -1) =

10^-1 (10^6 -1) /( 10^4 - 1)

then subtract

(10^6 -1) and (10^4 -1)

You are left with
10^-1 (10^2) which is 10^1 or 10
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zachadam1999
Can someone break the second part of the us question down ? The numbers a and b are both positive. What is the ratio of a to b ? (1) The ratio of 4a + 3b to 5a + 12b is 3 to 4. (2) The average (arithmetic mean) of a, 3a, 3b, 12b, and 14b is equal to a + b.
Both 1& 2 are sufficient alone enough to get ratio
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Deepihu
Both 1& 2 are sufficient alone enough to get ratio
Thank you, to solve first part you set 4a+3b / 5a + 12b = 3/4 and cross multiply , then simplify right ?
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zachadam1999
Thank you, to solve first part you set 4a+3b / 5a + 12b = 3/4 and cross multiply , then simplify right ?
Yes as per my understanding you can seperate both a and b on lhs and rhs and hence can find the value of the ratio.
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DS Question 1 - August 04

The average (arithmetic mean) of a list of positive numbers is what percent of the sum of the numbers?

(1) The sum of the numbers in the list is 150.
(2) There are 25 numbers in the list.

Source: GMAT Club Tests | Difficulty: Medium

PS Question 1 - August 04

30^20 - 20^20 is divisible by all of the following values, EXCEPT:

A) 10
B) 25
C) 40
D) 60
E) 64

Source: GMATPrepNow | Difficulty: Hard
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Priyankajaismali
C
Can someone please explain this? Where are the options given ? Everyone is typing C
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captain_Akshay
Can someone please explain this? Where are the options given ? Everyone is typing C
it is the standard option pattern in DS question

you can refer official gmat guide for this pattern
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Thank you so much 🙏
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gmatophobia
DS Question 1 - August 04 The average (arithmetic mean) of a list of positive numbers is what percent of the sum of the numbers? (1) The sum of the numbers in the list is 150. (2) There are 25 numbers in the list. Source: GMAT Club Tests | Difficulty: Medium
B

gmatophobia
PS Question 1 - August 04 30^20 - 20^20 is divisible by all of the following values, EXCEPT: A) 10 B) 25 C) 40 D) 60 E) 64 Source: GMATPrepNow | Difficulty: Hard
D

AM = Sum/n

so (AM/Sum)*100 = ((sum)/(sum * n)) * 100 = 100/n

so if we know number of terms then we can calculate the percentage. Option B gives us that. Option A just tells us value of sum.. hence insufficient
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Please solve without trigonometry
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