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Question

Four girls, Radha, Neena, Mohita and Jyoti, are to be served in a sequence by a service provider. However, there are some limitations as follows: Mohita and Jyoti cannot be served one after the other; Neena cannot be served at the third number in sequence; and Radha and Neena are to be served one after the other. Considering the given information, which of the following statements is compulsorily true?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
Radha will be served third.

To solve the problem, let's analyze the constraints and derive a sequence in which the girls can be served:

  1. Constraints analysis:
    • Mohita and Jyoti cannot be served one after the other.
    • Neena cannot be served third in the sequence.
    • Radha and Neena must be served one after the other.
  2. Determine the feasible sequence:
    • Since Radha and Neena are to be served together, they can appear in two possible places in the sequence: first-second or third-fourth.
    • If Radha and Neena are in the first and second positions, Jyoti and Mohita are left for the third and fourth positions. However, Mohita and Jyoti cannot be consecutive, which makes this situation impossible.
    • Thus, Radha and Neena must occupy the third and fourth positions.
    • Among the positions together, Neena cannot be third according to the constraint, so Radha must be third, and Neena must be fourth.
  3. Satisfying remaining constraints:
    • With Radha in the third position and Neena in the fourth, Mohita and Jyoti must take the first and second positions.
    • As Mohita and Jyoti cannot be consecutive, this order ensures compliance with the rule.

Therefore, the sequence that satisfies all constraints is: Either Jyoti - Mohita - Radha - Neena or Mohita - Jyoti - Radha - Neena. Thus, the compulsorily true statement is that Radha will be served third.

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Important Questions from Problem Solving

  1. Six numbers, 7, 8, 9, 10, 11 and 12 are written on different faces of a dice. Three positions of this dice are shown here. Find the number on the face opposite 12.

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    (84, 73, 157) (96, 88, 184)

  3. Rahul invests his savings, which is Rs. 25,000 in his bank that pays 7 per cent annual interest. How much will he earn by way of interest in one year?

  4. Which two signs need to be interchanged to make the following equation correct? 5 × 4 + 12 - 3 ÷ 6 = 18

  5. In a company there are 3 departments - IT, HR and Help Desk. In the IT department there are 125 employees and in the HR department the number of employees is 1/5th of IT. The helpdesk department has 20 employees less than total employees in IT and HR together. What is the total number of employees working in all three departments?

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