Question
Average of four consecutive prime numbers S1, S2, S3,
and S4 is (16 + x). If the average of S1 and S2 is (12 + x) and the average of S3 and S4 is (12 + 3x), then find S4.Solution
ATQ, Sum of S1, S2, S3, and S4 = (16 + x) × 4 = 64 + 4x Sum of S1 and S2 = (12 + x) × 2 = 24 + 2x Sum of S3 and S4 = (12 + 3x) × 2 = 24 + 6x Now, setting the equations equal: 24 + 2x + 24 + 6x = 64 + 4x Or, x = 4 Sum of S3 and S4 = 24 + 6 × 4 = 48 S3, S4 = 23, 29 Hence, None of these pairs sum to 48. Therefore, there is no pair of consecutive primes summing to 48 in the standard set of known primes.
Four number-pairs are given, three of which are alike in certain manner and one is different. Choose the different number-pair.
The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) are f...
Three of the four words are alike in a certain way and one is different. Pick the odd one out.
Three of the four words are alike in a certain way and one is different. Pick the odd one out.
In the following question, four number pairs are given. In each pair the number on left side of ( - ) is related to the number of the right side of ( - ...
In the following question, select the odd word pair from the given alternatives.
In the following question, four number pairs are given. In each pair the number on left side of (-) is related to the number of the right side of (-) w...
Four number-pairs are given, three of them are alike in a certain manner and one is different. Choose the different number-pair.
The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) are f...
In the word ‘FRUSTRATED’, first all the letters are written in an alphabetical order form, then remove all the vowels from the arrangement then ho...
Relevant for Exams:
