Examsnet
Unconfined exams practice
Home
Exams
Banking Entrance Exams
Defence Exams
Engineering Exams
Finance Entrance Exams
GATE Exams
Insurance Exams
International Exams
JEE Exams
LAW Entrance Exams
MBA Entrance Exams
MCA Entrance Exams
Medical Entrance Exams
Other Entrance Exams
Police Exams
Public Service Commission (PSC)
RRB Entrance Exams
SSC Exams
State Govt Exams
Subjectwise Practice
Teacher Exams
State Eligibility Tests
UPSC Entrance Exams
Aptitude
Algebra and Higher Mathematics
Arithmetic
Commercial Mathematics
Data Based Mathematics
Geometry and Mensuration
Number System and Numeracy
Problem Solving
English
Competitive English
Board Exams
Andhra
CBSE
Maharashtra
Kerala
Telangana
Tamil Nadu
Certifications
Technical
Cloud Tech Certifications
Security Tech Certifications
Management
IT Infrastructure
More
About
Careers
Contact Us
Our Apps
Privacy
Test Index
CAT 2015 Question Paper Quantitative Ability for online practice
Show Para
Hide Para
Share question:
© examsnet.com
Question : 1
Total: 34
If
x
4
−
y
4
=
15
,
where x and y are natural numbers, then find the value of the expression
x
4
+
y
4.
Your Answer:
Validate
Solution:
(
x
2
−
y
2
)
(
x
2
+
y
2
)
=
15
⇒
(
x
2
−
y
2
)
(
x
2
+
y
2
)
=
1
×
15
=
3
×
5
⇒
x
2
−
y
2
=
3
and
x
2
+
y
2
=
5
(because x and y are natural numbers)
∴
2
x
2
=
8
⇒
x
2
=
4
∴
y
2
=
1
⇒
x
4
+
y
4
=
4
2
+
1
2
=
17
© examsnet.com
Go to Question:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
Next Question
Examsnet