Elementary Algebra problems

• 1.
The degree f polynomial p(x) = x 3 + 1 + 2x = 6x + 1/x is?

• Options
• A. 2
• B. 4
• C. 3
• D. 5
• 2.
If x = 1 + ? 2, then what is the value of x 4 - 4x 3 + 4x 2?

• Options
• A. -1
• B. 0
• C. 1
• D. 2
• Also asked in: Bank Exams

• 3.
What is the solution of the equations x - y = 0.9 and 11(x + y) -1 = 2?

• Options
• A. x = 3.2, y = 2.3
• B. x = 1, y = 0.1
• C. x = 2, y = 1.1
• D. x = 1.2, y = 0.3
• 4.
The product of two alternate odd integers exceeds three times the smaller by 12. What is the larger integer?

• Options
• A. 9
• B. 7
• C. 3
• D. 5
• 5.
The sum of two numbers is 24 and their product is 143. The sum of their squares is

• Options
• A. 296
• B. 295
• C. 290
• D. 228
• 6.
If P = (0.08) 2, Q = 1/(0.08) 2 and R = (1 ? 0.08) 2 ? 1, then out of the following the true relation is

• Options
• A. Q < P and P = R
• B. P < Q and P = R
• C. Q < R < P
• D. R < P < Q
• 7.
 If (5x2 ? 3y2) : xy = 11 : 2, then the positive value of x is : y

• Options
• A. 7 2
• B. 5 2
• C. 3 2
• D. 5 3
• 8.
If a3 ? b3 = 56 and a ? b = 2, then the value of ( a2 + b2 ) is :

• Options
• A. ? 10
• B. ? 12
• C. 20
• D. 18
• 9.
 If x = 2 + ?3, then the value of ?x + 1 is : ?x

• Options
• A. ?3
• B. ?6
• C. 2 ?6
• D. 6
• 10.
 If 5a + 1 = 5, the value of 9a2 + 1 is 3a 25a2

• Options
• A. 34 5
• B. 39 5
• C. 42 5
• D. 52 5