Write the rule and fill in the missing number in each 1/1,1/2, 3/4, 1
Answers
Answer:
The sum of three consecutive even integers equals 72. What is the product of these integers?
Possible Answers:
12144
13800
10560
13728
17472
Correct answer:
13728
Explanation:
Let us call x the smallest integer. Because the next two numbers are consecutive even integers, we can call represent them as x + 2 and x + 4. We are told the sum of x, x+2, and x+4 is equal to 72.
x + (x + 2) + (x + 4) = 72
3x + 6 = 72
3x = 66
x = 22.
This means that the integers are 22, 24, and 26. The question asks us for the product of these numbers, which is 22(24)(26) = 13728.
The answer is 13728.
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Find The Missing Number In A Set : Example Question #2
2,6,18,n,162...
\textup{In the above geometric sequence, what is the value of }n\textup{?}
Possible Answers:
24
54
90
36
52
Correct answer:
54
Explanation:
\textup{Look for a pattern. Each term in the sequence is three times the previous term.}
18∗3=54
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Find The Missing Number In A Set : Example Question #3
If the mean of the following set is 12, what is x?
(1,14,3,15,16,x,21,10)
Possible Answers:
15
12
13
16
14
Correct answer:
16
Explanation:
Since we are given the mean, we need to find the sum of the numbers. From there we can figure out x. We know
mean=sum of observationsnumber of observations
We can use this to find the sum by plugging in
12=Total Sum8
So our sum is 96.
So we know that our total sum minus the sum of the given numbers is equal to x.
So, 96−(1+14+3+15+16+21+10)=x=96−80=16.
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Find The Missing Number In A Set : Example Question #4
There are 5 men and 4 women competing for an executive body consisting of :
President
Vice President
Secretary
Treasurer
It is required that 2 women and 2 men must be selected
How many ways the executive body can be formed?
Possible Answers:
180
240
120
60
1440
Correct answer:
1440
Explanation:
2 men can be selected:
C\binom{5}{2 } = 10
2 women can be selected out of 4 women:
C\binom{4}{2} = 6
Finally, after the selection process, these men and women can fill the executive body in 4!=24 ways.
This gives us a total of 10×6×24=1440
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Find The Missing Number In A Set : Example Question #5
Which number is needed to complete the following sequence:
1,5,_,13,17
Possible Answers:
7
11
8
10
9
Correct answer:
9
Explanation:
This is a sequence that features every other positive, odd integers. The missing number in this case is 9.
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Find The Missing Number In A Set : Example Question #6
Find the missing number:
7,−,33,46,59,72
Possible Answers:
20
10
44
12
Correct answer:
20
Explanation:
Find the missing number:
7,−,33,46,59,72
To find the missing number, we need to find the pattern.
If we look closely, our numbers are going up by the same number each time: 13
To check this, find the difference between neighboring numbers
46−33=13
59−46=13
You get the idea.
So, to find the missing number, simply do the following:
7+13=20
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Find The Missing Number In A Set : Example Question #7
Find n in the following sequence:
(6,12,15,30,33,66,n,138)