The diagram is given below:- In a queue of students, Rajesh is fifth from the left and Manish is sixth from the right. When they interchange their places among themselves, Rajesh becomes thirteenth from the left. ​ [ alt="61ee5540ab25a5cc68e90462 16443322964231" src="//storage.googleapis.com/tb-img/production/22/02/61ee5540ab25a5cc68e90462_16443322964231.png" style="height: 135px; width: 468px;"> After Interchanging their positions: [ alt="F1 Prashant 08-2-22 Savita D9" src="//storage.googleapis.com/tb-img/production/22/02/F1_Prashant%20_08-2-22_Savita_D9.png" style="width: 426px; height: 170px;"> Total Number of students = Manish Position from right before interchanging + Position of Rajesh from left After Interchanging - 1 = 6 + 13 - 1 = 18 Now; The position of Manish from Right after interchanging = Total Number of students - Position of Rajesh from left before interchanging + 1 = 18 - 5 + 1 = 14 Manish is 14th from the right ends. Hence, "option 4" is the correct answer.