If (x + y) : (y + z) : (z + x) = 3 : 5 : 6 and x + y + z = 14, then what is x² + y² + z² equal to?

Explore Exams

Current Affairs

Prepp+

Games Login / Register

All Exams Test series for 1 year @ ₹349 only

Question

Quantitative Aptitude

If (x + y) : (y + z) : (z + x) = 3 : 5 : 6 and x + y + z = 14, then what is x² + y² + z² equal to?

This question was previously asked in

CDS 2 2025 Maths Question Paper (14-Sep-2025)

81

84

87

90

The correct answer is

84

By solving the given proportions and equation, we find x² + y² + z² = 84. Hence, the correct answer is (b) 84.

Was this answer helpful?

Important Questions from Divisibility and Remainder

What is the sum of the digits of the least number which when divided by 12, 16 and 20 leaves the same remainder 6 in each case and it is divisible by 9?
Quantitative Aptitude
View Answer
As nine-digit number 89563x87y is divisible by 72. What is the value of \(\sqrt{7x-3y}\) ?
Quantitative Aptitude
View Answer
The greatest number that on dividing 2675 and 2320 leaves the reminder 5 and 6 ,respectively is :
Quantitative Aptitude
View Answer
Find the greatest number that exactly divides 2880, 6525 and 8307.
Quantitative Aptitude
View Answer
If a 10 - digit number 643x1145y2 is divisible by 88, then the value of (2x - 3y) for the largest value of y is :
Quantitative Aptitude
View Answer

Need Expert Advice?

Upcoming Exams

September 13, 2026

September 13, 2026

Test Series

Defence

UPSC CDS 2026 Mock Test Series

540 Tests 4 Tests Free

1135 Attempts

4.3(168)

English, Hindi

View Test Series

More Questions from CDS

1)

In the following items Match List I with List II and select the answer using the code given below the Lists :

List I (Word/Expression/Specialised term)	List II (Meaning)
A. Incensed	1. Designed to cause fires
B. Incendiary	2. Unmindful of potential risks
C. Incautious	3. Giving out light when heated
D. Incandescent	4. Enraged

Code :
A B C D

2)

In the following items Match List I with List II and select the answer using the code given below the Lists :

List I (Word/Expression/Specialised term)	List II (Meaning)
A. Bequeath	1. To pledge property as a security
B. Mortgage	2. To leave property for beneficiary via a will
C. Endowment	3. Agreement for use of property against rent
D. Lease	4. To grant funds for running a socially-beneficial institution

Code :
A B C D

3)

In the following items Match List I with List II and select the answer using the code given below the Lists :

List I (Word/Expression/Specialised term)	List II (Meaning)
A. Ascribe	1. Associate ownership or authorship with
B. Prescribe	2. Carve, cut or etch into a material or surface
C. Proscribe	3. Lay down a rule
D. Inscribe	4. Officially forbid

Code :
A B C D

4)

In the following items Match List I with List II and select the answer using the code given below the Lists :

List I (Word/Expression/Specialised term)	List II (Meaning)
A. Implication	1. The act of communicating with / praying to a deity
B. Complication	2. A verbal or written request for an official purpose
C. Supplication	3. A meaning not clearly stated but which can be inferred
D. Application	4. A situation or condition that is complex or confused

Code :
A B C D

5)

In the following items Match List I with List II and select the answer using the code given below the Lists :

List I (Word/Expression/Specialised term)	List II (Meaning)
A. Blizzard	1. Tropical cyclones over the western Pacific Ocean
B. Tornado	2. A storm with thunder and lightning, and usually heavy rain
C. Thunderstorm	3. Severe snowstorm with strong winds
D. Typhoons	4. A violently rotating destructive column of air that extends from a thunderstorm to the ground

Code :
A B C D

6)

Either my brothers / or my friend / are coming to receive me at the airport. / No error.
(a) (b) (c) (d)

7)

In the following items Match List I with List II and select the answer using the code given below the Lists :

List I (Word/Expression/Specialised term)	List II (Meaning)
A. Pragmatist	1. Using too many words
B. Promethean	2. Daringly original and creative
C. Promontory	3. A headland that juts into a large water body
D. Prolix	4. A person concerned with practical matters

Code :
A B C D

8)

In the following items Match List I with List II and select the answer using the code given below the Lists :

List I (Word/Expression/Specialised term)	List II (Meaning)
A. Epitaph	1. Words written about a dead person
B. Epistle	2. An adjective to describe character or characteristic
C. Epithet	3. A short phrase expressing an idea in a clever way
D. Epigram	4. A formal letter

Code :
A B C D

9)

The passage draws attention to which one among the following ?

10)

The "biophilia hypothesis" :

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store

Download the app from Google Play & App Store

Prepp Mobile App