1 .
Find the ratio of total surface area to the lateral surface area of a cone, if base radius and height are 6 cm and 8 cm respectively
A.  8 : 5
B.  3 : 7
C.  5 : 8
D.  4 : 9
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2 .
For what value of K, following equations have no solution 4x+ 3y= 8 and (k -1)x+ (k+ 7)y= 3k+9
A.  - 14
B.  - 21
C.  - 17
D.  - 31
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3 .
If xand yare two distinct natural numbers, which one of the following equation is true?
A.  $\sqrt{x + y}$ = $\sqrt{x}$ + $\sqrt{y}$
B.  $\sqrt{x + y}$ > $\sqrt{x}$ + $\sqrt{y}$
C.  $\sqrt{x + y}$ $\leq$ $\sqrt{x}$ + $\sqrt{y}$
D.  xy = 1
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4 .
Deepti sells a pen to Vrinda at a gain of 30% and Vrinda sells it to Chitra at gain of 20% and Chitra sells it to Vandana at a gain of 12.5%. If Vandana pays Rs. 17.55, what did the pen cost to Deepti?
A.  Rs. 10
B.  Rs. 12
C.  Rs. 13
D.  Rs. 14
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5 .
The cost of manufacturing an article is Rs. 312. The trader wants to gain 45% after giving a discount of 22% on it. The marked price should be
A.  Rs. 600
B.  Rs. 575
C.  Rs. 580
D.  Rs. 635
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6 .
A phone is listed at Rs. 1500 and the discount offered is 10%. What additional discount must be given to bring the net selling price to Rs. 1300 ?
A.  3$19 \over 27$ %
B.  3$8 \over 21$ %
C.  3$8 \over 27$ %
D.  $11 \over 3$ %
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7 .
Rs. 2310 is to be divided among A, B and C in such a way that if A gets Rs. 7, then B must get Rs. 12 and if B gets Rs. 4, then C must get Rs. 6.50. The share of C will exceed to that of B by
A.  Rs. 570
B.  Rs. 450
C.  Rs. 380
D.  Rs. 260
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8 .
By selling a watch at a profit of 20 %, a man got Rs.52 more than one third of its price. What is the price of watch?
A.  Rs. 60
B.  Rs. 58
C.  Rs. 54
D.  Rs. 62
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9 .
If x(7 - $8 \over x$) = $7 \over x$, then the value of $x^2$ + $1 \over {x^2}$ is
A.  49$15 \over 3$
B.  3$25 \over 47$
C.  3$15 \over 49$
D.  4$16 \over 47$
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10 .
If $(x + {1 \over x} )^2$ = 3, then find the value of $x ^{194}$ + $x ^{188}$ + $x ^{98}$ + $x ^{92}$ + $x ^{16}$ + $x ^{10}$ + $x ^{6}$ + 1
A.  0
B.  1
C.  188
D.  92
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