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2 .ABCD is a rhombus. A straight line through C cuts AD produced at P and AB produced at Q. If DP = $1\over2$ AB, then the ratio of the lengths of BQ and AB is –
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3 .
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4 .The difference of the areas of two squares drawn on two line segments of different lengths is 32 sq.cm. Find the length of the greater line segment if one is longer than the other by 2 cm.
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5 .If the radius of a cone is 21 cm, then find the difference of curved surface area and total surface area.
(A) 441 π $cm^2$
(B) 1386 π $cm^2$
(C) 21 π $cm^2$
(D) cann't be determined
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6 .A circle is inscribed in a square whose length of the diagonal is $12\sqrt2$ cm. An equilateral triangle is inscribed in that circle. The length of the side of the triangle i s
(A) $4\sqrt3$cm
(B) $8\sqrt3$cm
(C) $6\sqrt3$ cm
(D)$11\sqrt3$cm
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7 . Water is flowing at the rate of 3 km/hr through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2 m. In how much time will the cistern be filled ?
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8 .A's income is 10% more than B's income. How much percent is B's income less than A's income ?
(A) 10%
(B) 9%
(C) 11$1\over9$ %
(D) 9 $1\over11$ %
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9 .
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10 .In an examination, the average of marks was found to be 50. For deducting marks for computational errors, the marks of 100 candidates had to be changed from 90 to 60 each and so the average of marks came down to 45. The total number of candidates, who appeared at the examination, was –
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