Series and Sequences

⚠️!!Help me out!!⚠️ Pick out the odd man 2,9,28,64,126 Options a-9 b-28 c-64 d-126 Answer opinion c All other numbers are the form of x^3+1 Why can’t we choose the option a all other numbers are can be divided by 2

SHAHADA C G 2 months ago
9

Question of the Day!

[Appeared CAT 2004]

Topic: Arithmetic

On January 1, 2004 two new societies s1 and s2 are formed, each n numbers. On the first day of each subsequent month, s1 adds b members while s2 multiples its current numbers by a constant factor r. Both the societies have the same number of members on July 2, 2004. If b = 10.5n, what is the value of r?

1. A 2 56%
2. B 1.9 18%
3. C 1.8 15%
4. D 1.7 11%
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55 Attempts 1 Comment
Harish 1 year ago
We must not confuse the sum of all terms with the nth term...
For society S1...
In the month of July, no of members is n+6b..= n+6(10.5)n..= 64n..
For society S2, in the same month, no of members is nr^6..
64n = nr^6..=> n= 2.....option a)

Series S = 1, 2, 5, 10, 17, 26, 37 ....
Sum of first 50 runs of the series.

1. A 40475 28%
2. B 43375 10%
3. C 45575 28%
4. D 42375 21%
5. E 43525 14%
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ARAVIN KUMAR 1 year ago
how can you sum the values obtained easily, is their any shortcut

When a natural number "p" is multiplied by 4 , it gives a perfect cube and when it is multiplied by 9 , it gives a perfect square .Find the minimum possible value of the expression p^2- 16p+1.

1. A 4 6%
2. B 8 10%
3. C 12 6%
4. D 16 13%
5. E None of these 65%
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2 Thanks 31 Attempts 3 Comments
SHUBHAM JAITLEY 1 year ago
P= 16 & min value of the expression is 1

The numbers from 1 to m are written one after another as follows(1234567.......m). the resulting number is divided by 3 if "m"is of the form (n is a natural number): 1- 3n. 2 - 3n-1. 3 - 3n-1

1. A 1 only 19%
2. B 1 or 2 only 19%
3. C 1 or 3 only 25%
4. D 2 or 3 only 13%
5. E cannot be determined 25%
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2 Thanks 16 Attempts 1 Comment
Aakash Jaiswal 1 year ago
Hey Ahmed, the 2. and 3. options are same.

The way of solving this problem can be assuming values.
Let us take n=2.

Then keep on testing,

Find the missing term
28 20 7
84 35 12
45 ? 9

1. A 15 19%
2. B 25 60%
3. C 20 14%
4. D 18 7%
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4 Thanks 43 Attempts 1 Comment
Remya 2 years ago
25

Steps-

In the first row, (28/7) x 5 = 20.

In the second row, (84/12) x 5 = 35.

Hence in the third row, missing number = (45/9) x 5 = 5 x 5 = 25.

Find the missing term
? 13 49
9 17 69
13 11 59

1. A 5 50%
2. B 10 29%
3. C 9 16%
4. D 21 5%
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1 Thanks 38 Attempts 1 Comment
Yalusri 2 years ago

Steps

Find the missing term
12 47 21
10 52 4
64 ? 24

1. A 16 11%
2. B 40 34%
3. C 62 14%
4. D 83 41%
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1 Thanks 71 Attempts 3 Comments
It's 83

Find the missing term

72 24 6
96 16 12
108 ? 43

1. A 12 42%
2. B 16 32%
3. C 18 8%
4. D 29 18%
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3 Thanks 50 Attempts 3 Comments
Remya 2 years ago