WAEC Past Questions and Answers - Page 2386

11,926.

Which of the following factors doesnt affect inter-personal relationship?

A.

Communication

B.

Withdrawal

C.

Compatibility

D.

Forgiveness

Correct answer is B

Factors affecting interpersonal relationship:

  • Compatibility
  • Communication
  • Honesty
  • Stay calm
  • Forgiving
  • Smile
  • Time

11,927.

Solve 3x - 2y = 10 and x + 3y = 7 simultaneously

A.

x = -4 and y = 1

B.

x = -1 and y = -4

C.

x = 1 and y = 4

D.

x = 4 and y = 1

Correct answer is D

3x - 2y = 10 - - x 3

x + 3y = 7 ---x 2

------------------------

9x - 6y = 30

2x + 6y = 14

-------------------------

\(\frac{11x}{11} \frac{44}{11}\) 

x = 4

From x + 3y = 7

3y = 7 - 4

\(\frac{3y}{3}\) = \(\frac{3}{3}\)

y = 1

11,928.

If x = 3 and y = -1, evaluate 2(x\(^2\) - y\(^2\))

A.

24

B.

22

C.

20

D.

16

Correct answer is D

2(\(x^2 - y^2\))

= 2(x + y)(x - y)

= 2(3 + (-1))(3 - (-1))

= 2(2)(4) = 16

11,929.

Given that \(\frac{\sqrt{3} + \sqrt{5}}{\sqrt{5}}\) 

= x + y\(\sqrt{15}\), find the value of (x + y) 

A.

1\(\frac{3}{5}\)

B.

1\(\frac{2}{5}\)

C.

1\(\frac{1}{5}\)

D.

\(\frac{1}{5}\)

Correct answer is C

\(\frac{\sqrt{3} + \sqrt{5}}{\sqrt{5}}\)  = x + y\(\sqrt{15}\)

cross multiply to have: \(\sqrt{3}\) + \(\sqrt{5}\) =  x\(\sqrt{5}\) + 5y\(\sqrt{3}\)

Collect like roots :   x\(\sqrt{5}\) =  \(\sqrt{5}\) → x = 1

                                5y\(\sqrt{3}\) =  \(\sqrt{3}\) → y = \(\frac{1}{5}\)

∴ ( x + y ) = 1 + \(\frac{1}{5}\)

= 1\(\frac{1}{5}\)

11,930.

An amount of N550,000.00 was realized when a principal, x was saved at 2% simple interest for 5 years. Find the value of x

A.

N470,000.00

B.

N480,000.00

C.

N490,000.00

D.

N500,000.00

Correct answer is D

S.I = \(\frac{x \times 2 \times 5}{100}\) = 0.1x

A = P + S.I

550,000 = x + 0.1x

\(\frac{550,000}{1.1} = \frac{1.1x}{1.1}\)

x = N500,000