What will come in the place of the question mark (?) in the following number series
7, 14, 42, 168, 840, ?
The problem asks us to find the next number in the given series: 7, 14, 42, 168, 840, ?. We need to identify the pattern or rule governing the sequence of numbers.
Let's examine how each number is related to the previous one.
The second term is 14 and the first term is 7.
\[ 14 = 7 \times 2 \]The third term is 42 and the second term is 14.
\[ 42 = 14 \times 3 \]The fourth term is 168 and the third term is 42.
\[ 168 = 42 \times 4 \]The fifth term is 840 and the fourth term is 168.
\[ 840 = 168 \times 5 \]From the above observations, it is clear that each term is obtained by multiplying the previous term by a consecutive integer, starting from 2. The multipliers are 2, 3, 4, 5.
Following this pattern, the next multiplier should be 6. Therefore, the next term in the series will be the fifth term multiplied by 6.
Next term \( = 840 \times 6 \)
\[ 840 \times 6 = 5040 \]Thus, the number that will come in the place of the question mark is 5040.
D) 5040 is the correct answer because the pattern shows that each term is the product of the previous term and a sequentially increasing integer (2, 3, 4, 5, 6...). Following this, \(840 \times 6 = 5040\).
Which number comes in the place of the question mark ?
2, 6, 11, 17, 24, 32, ?
To find the missing number in the sequence, we need to identify the pattern or rule governing the given series of numbers. We will examine the differences between consecutive terms to determine if there's an arithmetic progression, a quadratic progression, or another type of sequence.
Therefore, the number that comes in the place of the question mark is 41.
B) 41 is the correct answer because it follows the identified pattern where the difference between consecutive terms increases by 1 each time.
Find the next term in the series
1,4,27, 256, ?
To find the next term in the series, we need to identify the pattern or rule that generates the given sequence of numbers: 1, 4, 27, 256. We will examine each term to see if it follows a mathematical progression involving its position in the series.
Correct Option: D) 3125
What is the next letter in the series
A, E, I, M, ?
This is a letter series question. To solve it, we need to identify the pattern or rule governing the sequence of letters. We will look at the position of each letter in the English alphabet.
First, let's write down the given series: A, E, I, M, ?
Next, let's find the alphabetical position of each letter:
Now, let's examine the difference between the positions of consecutive letters:
The pattern is consistent: each subsequent letter is 4 positions ahead of the previous one in the alphabet.
To find the next letter, we need to add 4 to the position of M (13):
\[ 13 + 4 = 17 \]The 17th letter of the English alphabet is Q.
Correct Option: B) Q is the correct answer because it follows the established pattern of adding 4 to the alphabetical position of the previous letter.
Find the next term in the series
80, 10, 70, 15, 60, ?
This is an alternating series. We need to identify two separate patterns within the given sequence of numbers.
The given series is 80, 10, 70, 15, 60, ?
Let's separate the terms into two sub-series:
The terms are 80, 70, 60.
The pattern here is a constant subtraction of 10:
This series follows an arithmetic progression with a common difference of \(-10\).
The terms are 10, 15, ?
The pattern here is a constant addition of 5:
This series follows an arithmetic progression with a common difference of \(+5\).
The question asks for the next term in the original series, which is the 6th term. The 6th term belongs to Series 2 (even positions).
Following the pattern of Series 2:
Therefore, the next term in the series is 20.
Correct Option: D) 20
Replace the question mark (?) in the following series with suitable option.
C-3, E-5, G-7, I-9, ?-?
The problem presents a series of letter-number pairs. We need to identify the pattern in both the letters and the numbers separately to find the missing pair.
Correct Option: A) K-11, M-13
