1 .
If 3y + $1 \over 2y$ = 4, then the value of $3y \over 3y(2y + 7) + 28y +1$ is
A.  $3 \over 19$
B.  $1 \over 19$
C.  $1 \over 57$
D.  $1 \over 6$
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2 .
Find the greatest four-digit number which when divided by 3, 9, 12, 21 and 24 leaves the same remainder 2 in each case
A.  9978
B.  9576
C.  9578
D.  9958
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3 .
24 mango trees, 48 apple trees and 64 orange trees have to be planted in rows such that each row contains the same number of trees of one variety only. The minimum number of rows in which the above trees can be planted is
A.  17
B.  8
C.  24
D.  Cannot be determined
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4 .
A and B invest in a business in the ratio 7 : 6. If 15% of the total profit goes to charity and B's profit share is Rs. 6300, the total approximate profit is (Rs.)
A.  15000 Rs.
B.  17000 Rs
C.  15060 Rs
D.  16060 Rs.
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5 .
If $8^{126}$is divided by 63, the remainder will be
A.  2
B.  5
C.  1
D.  3
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6 .
Which of the following numbers does not fit into the series?

13 20 34 63 118 230
A.  34
B.  63
C.  20
D.  13
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7 .
The length of rectangle is twice its breadth. If its length is decreased by 8 cm and breadth is increased by 8 cm, the area of the rectangle is increased by 64 $cm^2$. The length of the rectangle is
A.  24 cm
B.  16 cm
C.  32 cm
D.  12 cm
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8 .
If $x^2$ + $1 \over x^2$ = 51, find the value of $x^3$ - $1 \over x^3$
A.  7
B.  343
C.  364
D.  264
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9 .
If three medians PQ, RS and MN of PRM meet at O as shown in the given figure, which of the following statements is not correct?

image
A.  Area OPM = Area OMR = Area OPR
B.  2 NO = OM
C.  Area OSM = $1\over 6$ Area PRM
D.  The perpendiculars drawn from O to the three sides of $\Delta$ PRM are of equal length
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10 .
If sin$\theta$ = $3 \over 5$, then the valueof $2 sec \theta \over 1 + tan\theta$ is
A.  $7 \over 10$
B.  $10 \over 7$
C.  $1 \over 7$
D.  $5 \over 7$
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