Search found 24 matches
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: 421
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.
Correct answer is thus A.
- 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: 304
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.
The correct answer is E.
- by psarma
Thu Sep 24, 2020 3:04 pm- Forum: Data Sufficiency
- Topic: Fractions/Ratios/Decimals
- Replies: 1
- Views: 261
- by psarma
Thu Sep 24, 2020 2:59 pm- Forum: Problem Solving
- Topic: Algebra
- Replies: 2
- Views: 377
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: 391
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 $$
- by psarma
Mon Sep 21, 2020 4:09 pm- Forum: Problem Solving
- Topic: In 2004, the cost of 1 year-long print subscription to a certain newspaper was $4 per week. In 2005, the newspaper intro
- Replies: 2
- Views: 385
In 1984 a certain union had a total of 15,600 members. Was the percent increase in the total number of...
Data Sufficiency
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 answer is thus D.
- by psarma
Mon Sep 21, 2020 3:39 pm- Forum: Data Sufficiency
- Topic: In 1984 a certain union had a total of 15,600 members. Was the percent increase in the total number of...
- Replies: 1
- Views: 277
The table shows the quantities of eggs, flour, and sugar used by a certain baker to make one cake of each of the three..
Problem Solving
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.
- by psarma
Mon Sep 21, 2020 3:15 pm- Forum: Problem Solving
- Topic: The table shows the quantities of eggs, flour, and sugar used by a certain baker to make one cake of each of the three..
- Replies: 1
- Views: 299
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: 271