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Q #6
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Quants Question

Directions: Read the following information to answer the question.

What is the Least 3 digit number that is exactly divisible by 4, 7 and 8?

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Answer : 112 Solution: LCM of 4,7,8 is 56 The smallest 3 digit no. that can be divided by 4,7,8 will also be divided by 56. (56*2=112)----3 digit no. So 112 is the smallest 3 digit no. i.e. closest to 100 and of 3 digits. Hence proved

Q #7
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Quants Question

Directions: Read the following information to answer the question.

What will be the highest power of 3 that will exactly divide 83!?

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Answer: 40 Explanation: formula is: (X!/prime no.)+(X/prime no^2)……..continued till prime no. don’t get bigger than X NOTE: take the whole value you get ondividing. 83/3+83/9+83/27+83/81=27+9+3+1=40 Hence proved.

Q #8
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Quants Question

Directions: Read the following information to answer the question.

What is the remainder of (8^5) ÷ 7?

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(8^5)/7…..here 8/7=1 remainder.

Q #9
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Quants Question

Directions: Refer the following data to answer the questions given below.

A milk vendor has 2 cans of milk .The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the container so as to get 12 litres of milk such that the ratio of water to milk is 3:5?

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Milk in 1 litre mixture in 1st can = 3/4 litre. 

Milk in 1 litre mixture in 2nd can = 1/2 litre. 

Milk in 1 litre final mixture = 5/8 litre. 

By rule of alligation we have required ratio 5 : 8


Q #10
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Quants Question

Directions: Refer the following data to answer the questions given below.

In what proportion must water be mixed with milk to gain 20 % by selling it at cost price ?

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Let cost price of milk be Rs 1 per liter, then S.P of mixture is also Rs 1 per liter 

Now CP of mixture be = 1 - ( 20 % of Rs 1 ) = 1 - ( 20 * 1 / 100 ) = 80 / 100 = Rs 4 / 5