CuriousTab
Search
CuriousTab
Home
Aptitude
Computer
C Programming
C# Programming
C++ Programming
Database
Java Programming
Networking
Engineering
Biochemical Engineering
Biochemistry
Biotechnology
Chemical Engineering
Civil Engineering
Computer Science
Digital Electronics
Electrical Engineering
Electronics
Electronics and Communication Engineering
Mechanical Engineering
Microbiology
Technical Drawing
GK
Current Affairs
General Knowledge
Reasoning
Data Interpretation
Logical Reasoning
Non Verbal Reasoning
Verbal Ability
Verbal Reasoning
Exams
AIEEE
Bank Exams
CAT
GATE
IIT JEE
TOEFL
Jobs
Analyst
Bank PO
Database Administrator
IT Trainer
Network Engineer
Project Manager
Software Architect
Discussion
Home
‣
Aptitude
‣
Simplification
Comments
Question
If x + y = 3, then what is the value of x3 + y3 + 9xy ?
Options
A. 15
B. 81
C. 27
D. 9
Correct Answer
27
Tags:
Bank Exams
Simplification problems
Search Results
1. If x2 ? 4x + 1 = 0 , then what is the value of x9 + x7 ? 194x5 ? 194x3 ?
Options
A. 4
B. ? 4
C. 1
D. ? 1
Show Answer
Scratch Pad
Discuss
Correct Answer: ? 4
2. If [a + (1/a)]2 ? 2[a ? (1/a)] = 12 , then which of the following is a value of 'a'?
Options
A. ? 8 + ?3
B. ? 8 ? ?3
C. ? 8 + ?5
D. None of these
Show Answer
Scratch Pad
Discuss
Correct Answer: None of these
3. If x = (a/b) + (b/a), y = (b/c) + (c/b) and z = (c/a) + (a/c), then what is the value of xyz ? x2 ? y2 ? z2 ?
Options
A. ? 4
B. 2
C. ? 1
D. ? 6
Show Answer
Scratch Pad
Discuss
Correct Answer: ? 4
4. A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3?3. What is the value of (a2 + b2 + c2)/(a + b + c) ?
Options
A. 35/3
B. 37/3
C. ? 105/11
D. ? 105/13
Show Answer
Scratch Pad
Discuss
Correct Answer: ? 105/11
5. If x = 2 +?3, y = 2 ? ?3 and z = 1, then what is the value of (x/yz) + (y/xz) + (z/xy) + 2 [(1/x) + (1/y) + (1/z)]?
Options
A. 25
B. 22
C. 17
D. 43
Show Answer
Scratch Pad
Discuss
Correct Answer: 25
6. A = (x8 ? 1)/(x4 + 1) and B = (y4 ? 1)/(y2 + 1). If x = 2 and y = 9, then what is the value of A2 + 2AB + AB2?
Options
A. 96475
B. 98625
C. 92425
D. 89125
Show Answer
Scratch Pad
Discuss
Correct Answer: 98625
7. If x ? 4y = 0 and x + 2y = 24, then what is the value of (2x + 3y)/(2x ? 3y)?
Options
A. 9/5
B. 11/5
C. 13/7
D. 9/7
Show Answer
Scratch Pad
Discuss
Correct Answer: 11/5
8. If (x/a) + (y/b) = 3 and (x/b) ? (y/a) = 9, then what is the value of x/y?
Options
A. ( b + 3 a)/( a ? 3 b)
B. ( a + 3 b)/( b ? 3 a)
C. (1 + 3 a)/( a + 3 b)
D. ( a + 3 b2)/( b ? 3 a2)
Show Answer
Scratch Pad
Discuss
Correct Answer: ( b + 3 a)/( a ? 3 b)
9. In the given figure, AB is a diameter of the circle with center O and XY is the tangent at a point C. If ACX = 35 deg, then what is the value (in deg) of CAB?
Options
A. 45
B. 35
C. 55
D. 65
Show Answer
Scratch Pad
Discuss
Correct Answer: 55
10. What is the value of [(sin 7x ? sin 5x)÷(cos 7x + cos 5x)] ? [(cos 6x ? cos 4x)÷(sin 6x + sin 4x)]?
Options
A. 1
B. 2 tan x
C. tan 2 x
D. tan (3 x/2)
Show Answer
Scratch Pad
Discuss
Correct Answer: 2 tan x
Comments
There are no comments.
Enter a new Comment
Save
More in Aptitude:
Alligation or Mixture
Approximation
Area
Average
Banker's Discount
Boats and Streams
Calendar
Chain Rule
Clock
Compound Interest
Decimal Fraction
Discount
Elementary Algebra
Find the Missing Character
Height and Distance
Linear Equation
Logarithm
Logic
Number System
Numbers
Odd Man Out and Series
Order of Magnitude
Partnership
Percentage
Permutation and Combination
Pipes and Cistern
Plane Geometry
Probability
Problems on Ages
Problems on H.C.F and L.C.M
Problems on Numbers
Problems on Trains
Profit and Loss
Quadratic Equation
Races and Games
Ratio and Proportion
Sets and Functions
Sequential Output Tracing
Simple Interest
Simplification
Square Root and Cube Root
Statistics
Stocks and Shares
Surds and Indices
Time and Distance
Time and Work
True Discount
Unitary Method
Volume and Surface Area
Work and Wages