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2 .ABCDis a square. The diagonals ACand BDmeet at O. Let K, Lbe the points on ABsuch that AO = AKand BO = BL. If q= ÃLOK, then what is the value of tanq?

a.$1/\sqrt{3}$ , b.$\sqrt{3}$ , c.1 , d.$1\over2$

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3 .42 men take 25 days to dig a pond. If the pond would have to be dug in 14 days, then what is the number of men to be employed?

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4 .There are two taps Aand Bto fill up a water tank. The tank can be filled in 40 min, if both taps are on. The same tank can be filled in 60 min, if tap Aalone is on. How much time will tap Balone take, to fill up the same tank?

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5 .A train started from a station with a certain number of passengers. At the first halt, $1\over3$ of its passengers got down and 120 passengers got in. At the second halt, half of the passengers got down and 100 persons got in. Then, the train left for its destination with 240 passengers. How many passengers were there in the train when it started ?

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6 . If the HCF of $x^3$ +$mx^2$- x+2m and $x^2$ + mx-2 is a linearpolynomial, then what is the value of m?

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7 .A person has four iron bars whose lengths are 24 m, 36 m, 48 m and 72 m respectively. This person wants to cut pieces of same length from each of four bars. What is the least number of total pieces if he is to cut without any wastage?

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8 .

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9 .

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10 .What is the value of 1.$\overline34$ + 4.$\overline12$ + ?

a.$133\over90$, b. $137\over90$ , c. 5$219\over990$ , d.5$461\over990$

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