Explanatory Answer
At the Uptown branch (represented by the light gray bars), the average number of walk-in visits are as follows
(visual approximations will suffice):
Monday: 440
Tuesday: 360
Wednesday: 320
Thursday: 290
Friday: 410
The question asks for the average of these five numbers. Their total is 1,820. Their average is 1,820 ÷ 5 = 364. Of the five
choices, (B) supplies the closest value and hence is the correct response.
Explanatory Answer
Let x equal the degree measure of the smaller angle, and let (x + D) equal the degree measure of the larger angle.
The two angles are by definition supplementary, which means that their degree measures total 180:
x + (x + D) = 180
Solving for x yields the expression in choice (C), which is the correct answer.
Please select 4 correct answers
Explanatory Answer
To answer the question, refer to the dark trend line. During January, February, May and June the share price of EcoCorp
stock changed by more than two dollars. During March and April the change was less than two dollars. The correct answer
is (A), (B), (E) and (F). You would gain credit for answering the question correctly only by selecting all four of these choices
but no others.
Write the equation for Line A in slope-intercept form: y = mx + b where m is the slope and b is the y-intercept.
10y + 20x = 50
10y = -20x + 50
y = -2x + 5
Therefore, the slope of Line A is -2 and the y-intercept of Line A is 5. Hence quantity A is greater.
Explanation:
The ratio of the sides of both triangles is 3:4:5. Therefore, x = 4 and y = 12. Since y/x = 3, both quantities are equal.
Calculate the income tax Jack paid each month by multiplying the percentage paid in taxes by the monthly income earned.
Jack’s average income tax is (1,000 + 15,000 + 4,000 + 1,000 + 6,000 + 36,000)/6 = $10,500.
Jack’s average income is (10,000 + 50,000 + 20,000 + 10,000 + 30,000 + 90,000)/6 = $35,000, and 22% of $35,000 = $7,700.
Therefore, quantity A is greater.
A prime number is a positive integer that is divisible by exactly two numbers: 1 and itself. A composite number is a positive integer that is divisible by more than just 1 and itself. The number 1 is neither prime nor composite. The smallest composite number greater than 2 is 4, and the smallest prime number less than 10 is 2. Therefore, p = 2,q = 4,and p/q = 1/2 = 0.5
Explanation:
Start off by finding the number of groups which can be formed having 3 females out of 5. i.e. (5*4*3)/(3*2*1)= 10.
Now, we multiply it by the total number of male students who can be coupled in to form a group of total four members.
Therefore, 10*7 = 70.
As 70 > 66, so Option (a) is correct.
Explanation:
We know that circumference of a circle equals 2πr. Here, r= 3 so the circumference equals 18 approximately. Now,
Perimeter of a square is equal to sum of all its sides, which in this case is 16.
So, we say that Option (B) is correct because Quantity A is greater than Quantity B.
Explanation:
The easiest and the most time efficient way to solve these group questions is to simply substitute the value in the formula i.e.
Total = Group 1 + Group 2 – Both + Neither
30 = 14 + 13 – Both + 9
Both = 6
So, the animals which eat both kinds of food are 6.
We chose option A as our correct answer.
Explanation:
From the given data, it is not clear what is the value of 'a'. The only thing which is given to us is that the product of these
three numbers is zero which means that these numbers could be -2,-1,0 or -1,0,1, or 0,1,2. Therefore, we chose option (C)
Explanation:
This is a simple question but most of the candidates will waste their time on this type of question by adding all numbers
and then comparing. However, you need to save your time in these types of questions. You note that all the numbers in
quantity B are greater than respective numbers in quantity A so you don't need to add the numbers. Therefore, option
(A) is correct.
Explanation:
Most of the students would select Option (A) for this question because there are more fractions in it but it's wrong.
You must not waste your time in these types of questions but at the same time, you have to be careful. If you observe
carefully, you will note that both these quantities are equal to 1. So, we choose option (D).
Explanation:
Now let's read the given information once again carefully. We know that arithmetic mean of 5 numbers equals the sum
of those 5 numbers divided by 5. Now, we have the arithmetic mean equal to 100 as given. This means that, sum of these
numbers is 100*5 = 500.
Now we know that 500 > 133, so we chose option (B).
Explanation:
14-5x > 7 -> -5x > 7-14 -5x > -7 -> x < 7/5
If x < 7/5, then x must also be less than 2. So, we choose option A.
Explanation:
In order to solve this question, you have to find the values of A and B. From first equation, we get to know that A = 3 – B.
So we put this value of A in second equation, which becomes, 3- B – B = 4, solving this equation, we get -2B = 1 i.e. B= -1/2.
And A = 7/2. So option (B) is correct
Explanation:
Plug In for this question. Let h = 3, which makes g = 6. Quantity A equals 6/1 = 6 and Quantity B equal 1/3.
Quantity A can be greater than the Quantity B, so eliminate (B) and (C). Because g and h are positive integers,
Quantity A will always be greater than 1 and Qunatity B will always be less than or equal to 1. Quantity A will
always be greater than the Quantity B.
Explanation:
Say there were 10 million tons in 1988. The percent increase was 0.79/10. Then 1989 there were
10.79 tons, so the percent increase from 1989 to 1990 was 0.79/10.79.
Quantity A must be greater
Explanation:
For Quantity A, there are three ways to get an even numbers (these are 2,4,6). So, the probability of
"rolling an even" and then "rolling an even" is 3/6 x 3/6 = 1/4.
For multiple independents events, multiply the probabilities. For Quantity B, there are four ways to not
get a multiple of 3 (these are 1,2,4,5). The probability of "not rolling a multiple of 3" and the "not rolling
a multiple of 3" is 4/6 x 4/5 = 4/9.
Quantity B is greater than Quantity A.
Explanation:
As given in the statement of the question, the ratio of male to female employees was 8 to 9 which means that if there
were 8 male, there were 9 female. Similarly, for 16 male, there would be18 female or we can say that for 24 male, there
would be 27 female. Now after the hiring process was complete, 6 male and 4 female were hired, which could make the
total 14 male and 13 female, or maybe 22 male and 22 female, or maybe 30 male and 31 female. As the total number of
employees is not given, we can't be sure which of these is correct. Therefore, we select option C.
Explanation:
Most of the students will just note the power of 'a' and choose option (A) but that is wrong. You must note that a>0
means that 'a' could possibly be 1 as well. And if a=1, Quantity A and Quantity B are equal. Therefore, we choose option
(C), as we don't exactly know whether a=1 or a>1.
Explanation:
Make a spot for each day and fill in the numbers of guest who could occupy that spot. Brown has 5 choices
for Monday, 3 choices fro Tuesday, 4 choices for Wednesday (because one politician was chosen on Monday),
6 choices for Thursday, and 10 choices for Friday (because 4 of the 14 potential guset have already been chosen)
Multiply these to arrive at 3,600 different schedule.
Explanation:
Rather than assigning separate variables to the granddaughters and grandsons, define them both in terms of the
same unknown multiplier, based on the ratio given:
Number of granddaughters = 3m
Number of grandsons = m
Note that you are solving for 3m, not for m!
3m + m = 12
4m = 12
3m = 9
Alternatively, suppose that Nash had exactly one grandson and three granddaughters.
That would sum to four grandchildren altogether. Triple the number of grandsons and granddaughters to
triple the number of grandchildren.
Explanation: br> There is no rule that A,B, and C must occur in alphabetical order. If the points are ordered A,B, C, the distance from .4 to C is 6 + 2 = 8. But if in the order A, C,B, the distance from A to C is 6—2 = 4. Any other orders allowed by the relative distances ( C,B,A, for instance, or B, C,A) will also yield either 4 or 8.
Explanation:
There are 60 total students and 12 boys enrolled in Spanish. The answer is 15/60, which reduces to
1/5 (Read carefully! “What fraction of the students are boys who are enrolled in Spanish?" is NOT
the same as “What fraction of the boys are enrolled in Spanish?”)
