bigbook questions

[omsai]

1. which of the folllowing could be the area of a n isosceles triangle with perimeter 18 and one side of length 8 ?
a.6
b.12
c.14
d.16
e.18
am getting the answer to be 20.....

2. If 2/3 of the number of women attending a certain dance is equal to 1/2 of the number of men attending,what fraction of those attending are women?
a. 2/5
b. 3/7
c. 5/7
d. 3/4
e. 5/6

3.the price of an article of clothing was reduced from $25 to $20.the reduced price of the article was then increased by x percent to return it to $25. x= ?
compare between x and 20.

4. A secretary typed 6 letters,each of which had either 1 or 2 pages.If the secretary typed 10 pages in all,howm any of the letters had 2 pages?
a.1
b.2
c.3
d.4
e.5

5. By weight,liquid A makes up 7.0 percent of solution 1 and 4.5 percent of solution 2. If 3 grams of solution 1 is mixed with 2 grams of solution 2,then the liquid A accounts for what percent of the resulting solution?
a.6.09%
b.10%
c.10.75%
d.21.5%
e.50%

can u post the explanations please...

[rashmi]

I think the answers are
1) B
2) B
3) X=25%
4) D
5) A
I am not so sure abt the fifth one. Please tell whether they are right.

[tans]

i think these r correct as 5th one is coming 6%

[Econ]

Yes excactly

[moon_2016]

Hey guys,
Can u you please explain the answwers?Its urgent.
thanx,
moon_2016

[rashmi]

1) Since , the triangle is isosceles, two sides should be equal. There are 2 options.

a) Since one side is 8, assume 2nd side s also 8( isosceles) and third is 2(perimeter is 2)

b) One side is 8, the other two equal sides are 10 5 each.
Try calculating area for both , one area will match teh choices given.

2) sy, total no. of women=w
total no. of men= m
given (2/3)w = (1/2)m
thus m/w=4/3
To calculate women's fraction from total means calculating w/(w+m)
Put the value of m/w and calculate answer.

3)increase in price =$5.
% increase = 5/20 * 100

4)say one page letters = x
2 page letters = y

Given x+y= 6
x+2y=10.
Solve for x and y

[Dingus]

Here's explanation for the 5th one:

Q: By weight,liquid A makes up 7.0 percent of solution 1 and 4.5 percent of solution 2. If 3 grams of solution 1 is mixed with 2 grams of solution 2,then the liquid A accounts for what percent of the resulting solution?
Amount of Liquid A in solution 1 which is sampled = 7.0/100 *3
Amount of Liquid B in solution 2 which is sampled = 4.5/100 *2
The final solution is 5 grams (3g solution1 + 2g solution2)

The percentage of Liquid A can be calculated thus:
7.0/100 * 3 + 4.5/100 *2
--------------------------- * 100
5

= 6%

[omsai]

thanq dingus for ur explanation.