Verbal Reasoning - Mental Ability Questions

The given number sequence is 101, 98, 93, 86, 75, ?

101

101 - 3 = 98

98 - 5 = 93

93 - 7 = 86

86 - 11 = 75

75 - 13 = 62

Here the series follows a pattern that consecutive subtraction of prime numbers.

Hence, the next number in the sequence is 62.

 On interchanging + and - and 4 and 8 in (b),

we get the equation as

8 + 4 - 12 = 0 
or 12 - 12 = 0
or 0 = 0, which is true.

The first digit is formed by adding the numbers which are the results of powers of 2 increased by one and second letter is the corresponding alphabet to that number...last number is the next number to the first one...therefore

15=7+8 (i.e. 2^3)

O is corresponding alphabet to 15

and 16 comes after 15 

Z Code⇒26⇒262⇒13⇔133 =2197

$$\begin{gathered} R Code ⇒18⇒182⇒9 ⇔93 =729 \\ \end{gathered}$$

Similarly, J Code ⇒10⇒102⇒5⇔53=125

The given number series is 1, 3, 10, 41, 206, ?

It follows a pattern that,

1

1 x 2 + 1 = 3

3 x 3 + 1 = 10

10 x 4 + 1 = 41

41 x 5 + 1 = 206

206 x 6 + 1 = 1237

Hence, the next number in the given number series is 1237.

Number of cuts made to cut a roll into 10 pieces = 9.

Therefore, Required number of rolls = (45 x 24)/9 = 120.