## Search found 24 matches

#### In the figure above, the area of the parallelogram is

##### Re: In the figure above, the area of the parallelogram is

Area of parallelogram is base x height
To find the height, drop an altitude to the base. This would form a 30-60-90 triangle, so sides would be in the ratio 1: $$\sqrt{3}$$ :2
Thus, $$\sqrt{3}$$ :2 = h:8
h =4 $$\sqrt{3}$$

Area = 4 $$\sqrt{3}$$ X 12
= 48 $$\sqrt{3}$$

by psarma

Thu Sep 24, 2020 3:20 pm
Forum: Problem Solving
Topic: In the figure above, the area of the parallelogram is
Replies: 2
Views: 332

#### If $$r$$ and $$s$$ are integers, is $$r^2+s$$ even?

##### Re: If $$r$$ and $$s$$ are integers, is $$r^2+s$$ even?

The product rs can be odd only when both r and s are odd.
In such a case, $$r^2$$ + s would be even, as the sq. of an odd number added to an odd number would be an even number
Thus A is sufficient
2nd option only mentions r is odd and nothing about s. Not sufficient.

by psarma

Thu Sep 24, 2020 3:09 pm
Forum: Data Sufficiency
Topic: If $$r$$ and $$s$$ are integers, is $$r^2+s$$ even?
Replies: 1
Views: 232

#### Fractions/Ratios/Decimals

##### Re: Fractions/Ratios/Decimals

Neither statement is sufficient individually, that rules out options A, B and D
Both statements together are also not sufficient, as 1 option gives an absolute number whilst the other a ratio.

by psarma

Thu Sep 24, 2020 3:04 pm
Forum: Data Sufficiency
Topic: Fractions/Ratios/Decimals
Replies: 1
Views: 203

#### Algebra

##### Re: Algebra

Given y= $$x^2$$ + 1
So $$x^2$$ = y-1
x = $$\sqrt{y-1}$$

by psarma

Thu Sep 24, 2020 2:59 pm
Forum: Problem Solving
Topic: Algebra
Replies: 2
Views: 296

#### Algebra

##### Re: Algebra

Here are the combinations:
1 & 28 : difference 27
2 & 14 : difference 12
4 & 7 : difference 3

Answer is (B) from the given options.

by psarma

Thu Sep 24, 2020 2:11 pm
Forum: Problem Solving
Topic: Algebra
Replies: 2
Views: 311

#### In 2004, the cost of 1 year-long print subscription to a certain newspaper was $4 per week. In 2005, the newspaper intro ###### Problem Solving ##### Re: In 2004, the cost of 1 year-long print subscription to a certain newspaper was$4 per week. In 2005, the newspaper i

52 weeks in a year
Total cost in 2004 : 208 $$(52*4) Total cost in 2005 : 144$$ (40*3 + 12*2)

Difference : 64 

#### In 1984 a certain union had a total of 15,600 members. Was the percent increase in the total number of...

##### Re: In 1984 a certain union had a total of 15,600 members. Was the percent increase in the total number of...

Option 1 gives the yearly increase in absolute numbers, so one can calculate the respective % increase for both years. Sufficient
Option 2 gives the total at the end of each of the 2 years; we can calculate the absolute increase/year from there. Sufficient.

#### The table shows the quantities of eggs, flour, and sugar used by a certain baker to make one cake of each of the three..

##### Re: The table shows the quantities of eggs, flour, and sugar used by a certain baker to make one cake of each of the thr

Total inventory - 24 eggs, 30 cups of flour, and 10 cups of sugar
Inventory used to make 2 angel food cakes and 1 devil's food cake - 15 eggs, 10 cups of flour and 4 cups of sugar
Quick calculation of the remaining inventory shows a max of 4 pound cakes can be made.

#### For a set X containing n integers, is the mean even?

##### Re: For a set X containing n integers, is the mean even?

Let’s take option A first:
Consider the set {1,2,3,4}
Is the mean even? No
A is ruled out

Let’s take option B now:
Consider the set {2,2,4}
Is the mean even? No
B is out

Consider both together:
Set : {2,2,2,4}
Is the mean even? No
C is out

Thus , the correct answer is E.

by psarma

Mon Sep 21, 2020 3:04 pm
Forum: Data Sufficiency
Topic: For a set X containing n integers, is the mean even?
Replies: 1
Views: 203