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Set A is a set of three consecutive prime numbers. Set B is a set of two consecutive odd numbers. The sum of largest number of set A and B is 62, whil
Question

In the given questions, two quantities are given, one as ‘Quantity I’ and another as ‘Quantity II’. You have to determine relationship between numerical value of these two quantities and choose the appropriate option.

Set A is a set of three consecutive prime numbers. Set B is a set of two consecutive odd numbers. The sum of largest number of set A and B is 62, while different between largest number of set A and B is 24. (Where largest number of set A > than largest number of set B)
Quantity I: Difference between smallest number of set A and set B.
Quantity II. 20

A.

Quantity I > Quantity II

B.

Quantity I < Quantity II

C.

Quantity I ≥ Quantity II

D.

Quantity I ≤ Quantity II

E.

Quantity I = Quantity II or no relation

Correct option is E


Let three consecutive prime numbers of set A be x, y and z respectively
And, two consecutive odd numbers of set B be a and b respectively
ATQ, z + b = 62 ---(i0
And, z – b = 24 ----(ii)
From (i) and (ii) we get
2z = 86
z = 43
Form (i) we get, b = 62 – 43 = 19
Set A, 37, 41, 43
Set B, 17, 19
Quantity I: 37 – 17 = 20
Quantity II. 20
So, Quantity I = Quantity II

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