The average height of P, Q and R is 160 cm. If the average height of P and Q is 140 cm and that of Q and R is 129 cm, then what is the height of Q?

This question was previously asked in
SSC MTS Official Paper (Held On: 14 Jun, 2023 Shift 3)
View all SSC MTS Papers >
  1. 62 cm
  2. 78 cm
  3. 72 cm
  4. 58 cm

Answer (Detailed Solution Below)

Option 4 : 58 cm
Free
SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
90 Qs. 150 Marks 90 Mins

Detailed Solution

Download Solution PDF
Given:-  

The average height of P, Q, and R is 160 cm 

The average height of P and Q is 140 cm 

The average height of R and Q is 129 cm

Formula used:-  
 

Average = Sum of Values/Number of Values

Calculation:-  

⇒ (P + Q + R)/3 = 160 

⇒ (P + Q + R) = 480 

Similarly, 

⇒ (P + Q)/2 = 140 

⇒ (P + Q) = 280

⇒ R = (P + Q + R) - (P + Q)  

⇒ R =  480 - 280 = 200  

Similarly, 

⇒ (Q + R)/2 = 129 

⇒ Q + R = 258  

⇒ Q = 258 - 200 = 58 cm 

 The required answer is 58 cm.

Latest SSC MTS Updates

Last updated on Jul 9, 2025

-> SSC MTS Notification 2025 has been released by the Staff Selection Commission (SSC) on the official website on 26th June, 2025.

-> For SSC MTS Vacancy 2025, a total of 1075 Vacancies have been announced for the post of Havaldar in CBIC and CBN.

-> As per the SSC MTS Notification 2025, the last date to apply online is 24th July 2025 as per the SSC Exam Calendar 2025-26.

-> The selection of the candidates for the post of SSC MTS is based on Computer Based Examination. 

-> Candidates with basic eligibility criteria of the 10th class were eligible to appear for the examination. 

-> Candidates must attempt the SSC MTS Mock tests and SSC MTS Previous year papers for preparation.

-> Bihar Police Admit Card 2025 has been released at csbc.bihar.gov.in.

More Average Questions

Hot Links: teen patti - 3patti cards game teen patti gold online teen patti master 2025 teen patti master online teen patti real