Questions

1.One of the roots of the equation 6y²=5-7y

A)-1/2

B)-1/3

C)5/3

D)1/2

Answer;D. (Use calculator directly)

2.The equation whose roots are y=7 and y= -2

A)y²+2y-7=0

B)y²+5y+14=0

C)y²-2y+7=0

D)y²-5y-14=0

Answer;D

3.The quadratic equation

y²-(k-2)y+2k+1=0 has equal roots,valued of k are?

A)1,2

B)12,0

C)4,5

D)3,4

Answer:B

4.If the equation px²-6x+1=0 has equal roots,the value of p is

A)9

B)6

C)7

D)2

Answer; A

5.The positive root of the equation 4x²+7x=1 correct to 3 decimal places

A)10.623

B)1.062

C)0.322

D)0.133

Answer:D

6.Find the greatest coefficient of (7+5x)^-3

A)0.0114

B)0.0014

C)0.1114

D)0.114

Answer:A (Shortcut method available for this question,contact us)

7.Find the constant term in the binomial expansion of (2x²-1/x)^6 using the binomial expansion

A)60

B)-60

C)64

D)240

Answer;A

8.Find the term in x² in the expansion of (x-1/2x)¹²

A)-99x²/4

B)99x²

C)9x²/4

D)198x²/4

Answer;A(Shortcut available)

9.Using the expansion of (1+8x)⁴=(1.04)⁴.What is the value of x?

A)0.5

B)0.005

C)0.05

D)0.0005

Answer:B

10.Find the value of x to be substituted in the expansion of (1+8x)⁴=(3√3/5)^8

A)0.1

B)0.01

C)0.001

D)0.0001

Answer: B

11.Given the sequence 5,1,-3……. which of the sequence is -75

A)20th

B)23rd

C)22nd

D)21st

Answer:D

12.What is the nth term of the A.P 12,5,-2?

A)7n-19

B)9n-7

C)7n-19

D)19-7n

Answer:D

The above questions and answers are LAUTECH Past questions and answers.

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