Logical 5 - Number Test

Key Points to Remember:

A group of numerals is given and the task is to trace out numerals following certain given conditions or lying at specific mentioned positions after shuffling according to certain given pattern. 

Practice Questions:

Question 1:

How much such 5s are there in the following number sequence each of which is immediately preceded by 3 or 4 but not immediately followed by 8 or 9?

3 5 9 5 4 5 5 3 5 8 4 5 6 7 3 5 7 5 5 4 5 2 3 5 1 0

A number which comes after the given number is said to be follow it while the one which comes before the given number precedes it.
Thus, the numbers satisfying the given conditions are,
3 5 9 5 4 5 5 3 5 8 4 5 6 7 3 5 7 5 5 4 5 2 3 5 1 0
Here five 5s are preceded by 3 or 4 and not following 8 or 9.
Hence, answer is 5.

Question 2:

In the series given below, how many 8s are there each of which is exactly divisible by its immediate preceding as well as succeeding numbers?

2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6 

We can mark such sets of three numbers in which the middle number is 8 and each of the two numbers on both sides of it is a factor of 8 as,
2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6 
There are two such 8s.
Hence, answer is 2.

Question 3:

Which is the third number to the left of the number which is exactly in the middle of the following sequence of numbers?

1 2 3 4 5 6 7 8 9 2 4 6 8 9 7 5 3 1 9 8 7 6 5 4 3 2 1

There are 27 numbers in the given sequence.

So, the middle number = 14th number = 9

Hence, the third number to the left of this 9 is 4.

Question 4:

How many 6s are there in the following number series, each of which is immediately preceded by 1 or 5 and immediately followed by 3 or 9? 

2 6 3 7 5 6 4 2 9 6 1 3 4  1 6 3 9 1 5 6 9 2 3 1 6 5 4 3 2 1 6 5 4 3 2 1 9 6 7 1 6 3 

2 6 3 7 5 6 4 2 9 6 1 3 4  1 6 3 9 1 5 6 9 2 3 1 6 5 4 3 2 1 6 5 4 3 2 1 9 6 7 1 6 3
Here three 6s are preceded by 1 or 5 and immediately followed by 3 or 9.
Hence, answer is 3.


Question 5:
How many 7s immediately preceded by 6 but not immediately followed by 4 are there in the following series?

7 4 2 7 6 4 3 6 7 5 3 5 7 8 4 3 7 6 7 2 4 0 6 7 4 3 

7 4 2 7 6 4 3 6 7 5 3 5 7 8 4 3 7 6 7 2 4 0 6 7 4 3 
Here two 7s are immediately preceded by 6 but not immediately followed by 4.
Hence, answer is 2.

Time to Think:

How many 5s are there in the following number sequence which are immediately proceeded by 7 and immediately followed by 6?

7 5 5 9 4 5 7 6 4 5 9 8 7 5 6 7 6 4 3 2 5 6 7 8