What comes next in the following series? Z4, Y9, X25, W49, V121, ?
U169
This series pairs a letter with a number in each term, so the sound approach is to split it into two independent trails, one for the letters and one for the numbers, and continue each separately.
The letters run Z, Y, X, W, V, stepping one place backward through the alphabet at every term, so the letter that follows V is U.
The numbers run 4, 9, 25, 49, 121, and each one is a perfect square: \(2^{2}=4\), \(3^{2}=9\), \(5^{2}=25\), \(7^{2}=49\) and \(11^{2}=121\).
Looking at the bases 2, 3, 5, 7, 11, these are the successive prime numbers, so the next base is the prime that follows 11, namely 13.
Squaring that base gives the next number, \(13^{2}=169\).
Combining the two trails, the next letter U joins the next square 169 to form the term U169, which matches one of the choices exactly.
Hence the term that continues the series is U169.
Similar Questions
Select the option that is related to the fifth letter-number cluster in the same way as the second letter-number cluster is related to the first letter-number cluster and fourth letter-number cluster is related to third letter-number cluster.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g.13 – Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
LW72 : UJ215 :: CA93 : YA278 :: FX103 : ?
In the following question, four letter-number pairs are given. The letter-number on the left side of (-) is related to the letter-number on the right side of (-) with some Logic/Rule/Relation. Three pairs are similar on the basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
(NOTE: Operations should be performed on the whole numbers, without breaking down the number into its constituent digits. E.g.13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
What comes next in the following series?
A1, B1, C4, D9, E25, F64, ?
What comes next in the following series?
A1, B1, C2, D3, E5, F8, ?
In the following question, four letter-number pairs are given. The letter-number on the left side of (−) is related to the letter-number on the right side of (−) with some Logic/Rule/Relation. Three pairs are similar on the basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
(NOTE: Operations should be performed on the whole numbers, without breaking down the number into its constituent digits. E.g.13 − Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
In the following question, four letter-number pairs are given. The letter-number on the left side of (−) is related to the letter-number on the right side of (−) with some Logic/Rule/Relation. Three pairs are similar on the basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
(NOTE: Operations should be performed on the whole numbers, without breaking down the number into its constituent digits. E.g.13 − Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
Directions: Select the related letter from the given alternatives.
MSB: 13- 19- 2:: ?: 4- 10- 18
Important Questions from Letter and Number Based
Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete?
HO22 JQ31 LS40 NU49?Find the next term in the given series.
C31, G37, K43, O49, ?
- Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete?
DEU7 VWM24 NOE41 FGW58 ? - XD 15 is related to BG 20 in a certain way. In the same way, MT 25 is related to QW 30. To which of the given options is LR 10 related, following the same logic?
Select the appropriate number from the given alternatives :
M$\times$N: 14$\times$13 :: G$\times$V:?
