1 .
What is the sum of two consecutive even numbers, if the difference of their squares is 92?
A.  52
B.  56
C.  42
D.  46
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2 .
Find the factor of 8$x^2$- 18x + 9.
A.  (4x - 3) (2x + 3)
B.  (8x - 1) (x - 9)
C.  (8x - 3) (x - 3)
D.  (2x - 3) (4x - 3)
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3 .
If a - b = 3 and $a^2$+ $b^2$= 29, then find the value of ab
A.  10
B.  12
C.  15
D.  18
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4 .
Which of the following is not the reciprocal of $(2 \over 3)^4$ ?
A.  $(3 \over 2)^4$
B.  $(2 \over 3)^{- 4}$
C.  $(3 \over 2)^{- 4}$
D.  $3^4 \over 2^4$
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5 .
If a number is divided by 223 the remainder is 79. If the same number is divided by 179 it gives a quotient 315. Find the remainder
A.  113
B.  117
C.  129
D.  133
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6 .
If x = 81 then the value of $x ^{1 \over 4} - 1$$x ^{1 \over 4} + 1$ is
A.  9
B.  8
C.  0
D.  $x^o$
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7 .
The simplified value of $3.47 \times 3.47 - 2.53 \times 2.53 \over 0.94$ - $12.50 \over 6.25$ is
A.  0
B.  1
C.  4
D.  3
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8 .
$\sqrt {x \over y}$ + $\sqrt {y \over x}$ = $12 \over 7$ and x + y = 12, then the value of xy will be
A.  85
B.  72
C.  56
D.  49
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9 .
If 3 men or 4 women can do a piece of work in 43 days then in how many days will 7 men and 5 women do the same piece of work?
A.  12 days
B.  13 days
C.  15 days
D.  16 days
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10 .
A man, a woman and a boy can do a piece of work in 3 days, 4 days and 12 days respectively. How many boys should help a man and a woman to do the same piece of work in $1 \over 4$ day?
A.  41
B.  48
C.  52
D.  61
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