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Quantitative Ab...

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  • Question 1
    4 / -1

    Let A and B are two sets with two elements each, such that all the four elements are distinct.
    A×B is defined as the set of all ordered pairs (a,b) where, aA and bB that is A×B={(a,b)aA and bB}
    How many subsets are there of the set A×B with at least two elements?

  • Question 2
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    For what value of a, will the equation (a29)x2(a2+2a3)x+a2+a6=0 have more than two solutions?

  • Question 3
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    How many positive integral values of xx are there for which 1x33x210x+24<0?

  • Question 4
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    What is the value of xx for which
    log10(2xx+41)=x(1log105)?

  • Question 5
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    A sequence T1,T2,T3, is defined as such that Tn=Tn1Tn2+Tn3 for all n4. If T1=16,T2=22,T3=29, then find out what will be the value of
    T148+T155+T166)?

  • Question 6
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    A vessel contains milk and water in the ratio 7 : 3. 3 litres of this mixture is taken out and replaced with water. Again, 2 litres of the mixture is taken out and replaced with water. If the vessel contained 10 litres of milk-water solution initially, then what is the final ratio of milk and water in the vessel?

  • Question 7
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    In a triangle ABC, points P, Q and R lie on side AB, BC and CA respectively such that these points divide these sides in the ration of 1:2, 1:4 and 1:6 respectively. Find out the ratio of the area of triangle PQR to the area of triangle ABC?

  • Question 8
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    On selling 6 bats for Rs.600, a shopkeeper has a loss equal to the cost price of 2 bats. What should be the marked price of a bat if the shopkeeper has to gain a profit of 10% after giving a discount of 10%?

  • Question 9
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    (log2x)2+3log2x4=0
    What is the sum of all the possible values of logx2?

  • Question 10
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    Chintu distributed 75% of his birthday cake in the ratio 7 : 8 between his two friends and ate rest of the cake himself. Had he distributed the whole cake in the ratio 4 : 1: 3 among his friends and himself in that order, he would have received 187.5 g of cake extra. What was the total weight of the cake?

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