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
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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
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3 .
If xand yare two distinct natural numbers, which one of the following equation is true?
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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?
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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
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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 ?
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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
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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?
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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
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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
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