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Q #36
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Cognizant Quants Question


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A starts business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the Capital ?
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A B amt 3500 x time 12 7 profit 3500*12 : 7x but ratio is given thus 3500*12 : 7x = 2:3 solving this we get x = 9000

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Q #37
:

Cognizant Quants Question


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A team of 200 wagers undertakes building work of a bridge. The total time allocated to build the entire bridge is 20 days. After 10 days since start, 200 more wagers join the team and together the team completes the bridge in required time. If the original team do not get those 200 extra wagers, how many days they would be behind schedule to complete building the bridge.
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if after adding 200 more wagers the total becomes 400 , they completed in 10 days (rest of the work) If those 200 are not added the wagers remain 200 i.e half of actual thus time taken will be double of actual i.e 20 days So 10 days extra

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Q #38
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Cognizant Quants Question


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Find the sum of the first 50 common terms of 12,16,20,... and 18,24,30,....
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common terms are 24, 36 , 48 and so on upto 50 terms i.e upto 612 Sum = 50/2 ( 24+612) 15900

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Q #39
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Cognizant Quants Question


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The compound interest on a sum for 2 years is Rs. 832 and the simple interest on the same sum for the same period is Rs. 800. The difference between the compound and simple interest for 3 years will be?
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compound interest can be written as

400 400

32 ( 8% of 400 )

If there are 3 years then CI will be

400 400 400

32 32

32

2.56 (8% of 32) Hence differenc is 32+32+32+2.56 = 98.56



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Q #40
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Cognizant Quants Question


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A person needs 6 steps to cover a distance of one slab. if he increases his foot length(step length) by 3 inches he needs only 5 steps to cover the slabs length. what is the length of the each slab?
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let x is length of his step Thus distance is = 6x Now, step length = x+3 And distance is = 5(x+3)

Equating these two We get x = 15 Length of slab = 6*15 == 90



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