MBA Entrance Exams / #XAT

April 16, 2018

April 16, 2018 @ 06:44 PM

SSMC

Questions on Mean & Median

XAT 2019 takers in January 2019 are advised to read following important questions on mean and the median: 
Bonus : Download XAT Tips PDF to crack XAT Exam 2019
 
Ramesh analyzed the monthly salary figures of five vice presidents of his company. All the salary figures are in integer lakhs. The mean and the median salary figures are Rs. 5 lakhs, and the only mode is Rs. 8 lakhs. Which of the options below is the sum (in Rs. lakhs) of the highest and the lowest salaries?
 
A.9
B.10
C.11
D.12
E.None of the above
 
Answer :  Option A: Rs. 9 lakhs
 
Explanation
 
The mean salary of the five vice presidents is Rs.5 lakhs.
 
So, the sum of their salaries = 5 * 5 = 25 lakhs.
 
Let their salaries in ascending order be a, b, c, d and e.
So, a + b + c + d + e = 25.
 
The median salary is Rs.5 lakhs. So, c's salary is Rs.5 lakhs.
The only mode is Rs.8 lakhs.
 
So, Rs.8 lakhs salary is drawn by the maximum number of VPs.
 
C's salary is Rs.5 lakhs. So, d and e have to draw Rs. 8 lakhs each.
Therefore, a + b + 5 + 8 + 8 = 21 or a + b = 4 
 
Their salaries are in integer lakhs.
 
Therefore, a can draw Rs.1 lakh and b can draw Rs.3 lakhs or a and b can both draw Rs. 2 lakhs each.
 
However, there is only one mode. So, a and b cannot draw Rs.2 lakhs each.
 
So, a draws Rs.1 lakh (the least salary) and e draws Rs.8 lakhs (the highest salary).
 
So, a + e = Rs.9 lakhs
 
 

XAT Exam Related Articles

XAT Eligibility Criteria 2019 XAT Admit Card 2019
XAT Result 2019 XAT Exam Centers 2019
XAT Syllabus 2019 XAT Selection Procedure 2019
XAT Cuttoff 2019 XAT Participating Institutes

Stay ahead and Stay inspired with MBA Rendezvous

Crucial Dates, You Should not Miss

IMI New Delhi
Admissions open for PGDM / PGDM(HRM) / PGDM(B&FS) at IMI New Delhi. Last date to apply is Dec 3rd, 2018.
Birla Institute of Management Technology (BIMTECH)
BIMTECH Admissions Open for 2019.
XIMB, XUB
XIMB, XUB Admissions Open for 2019 at Xavier Institute of Management. Last date to apply December 7th, 2018.
MDI Gurgaon
Admissions Open for PGPM | PGPM-HRM | PGP-IM 2019 at MDI Gurgaon. Last date to apply November 23th, 2018
MICA
Admissions open for PGDM-C 2019-2021.
Goa Institute of Management
Admissions open for 2019-2021 at GIM. Last date to apply is November 30th, 2018
SDMIMD
Admissions open for PGDM 2019-2021 at SDMIMD.
IMT Ghaziabad
Admissions open for 2 Year PGDM and MBA programs at IMT Ghaziabad- Application Deadline is November 22nd, 2018
ICFAI Business School
ICFAI Business School Accepting Applications for IBSAT 2018
Lal Bahadur Shastri Institute of Management (LBSIM)
Admissions open for 2019 at LBSIM, New Delhi. Last date for applying Dec 15th, 2018
TAPMI
Experience@TAPMI Admissions Open for 2019
MDI Murshidabad
Admissions Open for PGP 2019-21 at MDI Murshidabad
SIBM, Bengaluru
Admissions Open for MBA 2019-21 at SIBM, Bengaluru
XLRI
XAT 2019 Registration, Application Ends on November 30th, 2018. Exam Date January 6th, 2019