In this series, you will be looking at a letter pattern. Which of the given options should fill in the blank?
ARJN, MIQZ, YPHL,
Answers
Answer:
Product of two fractions = Product of their numerators
Product of their denominators
[Place the product of the numerators over the product of the denominators]
i.e., a/b × c/d = (a × c)/(b × d)
There are three steps to multiply fractions are:
1. Multiply the numerators of the fractions (the top numbers).
2. Multiply the denominators of the fractions (the bottom numbers).
3. Simplify the fraction if needed to the lowest terms.
For example:
(i) 3/7 × 4/5
= (3 × 4)/(7 × 5)
= 12/35
(ii) 7/3 × 5/2
= (7 × 5)/(3 × 2)
= 35/6
(iii) 5 × 3/7
= 5/1 × 3/7
= (5 × 3)/(1 × 7)
= 15/7
(iv) 5/12 × 9
= 5/12 × 9/1
= (5 × 9)/(12 × 1)
'OKSB' should be the next sequence of letters in the pattern.
Given:
The pattern ARJN, MIQZ, YPHL
To Find:
The next sequence of letters in the pattern.
Solution:
The positions of the given alphabets from the left is
A=1 , R=18 , J= 10 , N=14
M=13 , I=9 , Q=17, Z=26
We observe that
A + Z = 1 + 26 = 27 .
R + I = 18 + 9 = 27 .
J + Q = 10 + 17 = 27 .
N + M = 14 + 13 = 27 .
Here these alphabets are opposites of each other
Hence, the logic is to write the opposite of the first alphabet in the last, the second alphabet's opposite in the second position, the third alphabet's opposite in the third position, and the last alphabet's opposite is in the first position.
Now, the positions of alphabets in YPHL from the left is
Y=25 , P=16 , H=8 , L=12.
The opposites of the letters can be found by subtracting their current position from 27. On doing the calculations we get
L=12, and its opposite=27-12= 15=O, which is the first letter
P=16, and its opposite=27-16= 11=K, which is the second letter.
H=8, and its opposite=27-8= 19=S, which is the third letter.
Y=25, and its opposite=27-25= 2=B, which is the fourth letter.
Hence, 'OKSB' should be the next sequence of letters in the pattern.
#SPJ2