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Q #6
:


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Quants Question

Directions: Read the following information to answer the question.

623 – 543 – 83 is divisible by



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623 – (543 + 83)    = 623 – [(54 + 8) (542 + 82– 54 x 8)]

=63 x 3 x 54 x 8

This is divisible both by 9 and 31


Q #7
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Quants Question

Directions: Read the following information to answer the question.

Baiju wants to do organic farming and decides to start of by planting mango, jackfruit and coconut trees. He gets 48 mango trees, 144 jackfruit trees and 264 coconut trees. His partner Manoj, an expert in drip irrigation, decides that they will have to plant the trees in rows such that each row should have the same kind of tree and that all rows should have equal number of trees What is the minimum number of rows Baiju is looking at?

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Answer:38 Explanation: hcf of 48,144 and 264 is 12 . For mango 48/12=4,for jackfruit 144/12=12,for coconut 264/12=22 So 4+12+22=38 Hence proved

Q #8
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Quants Question

Directions: Read the following information to answer the question.

What is the remainder of (273 x 549 x 977 )÷ 5 ?

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Answer:4 273/5 gives 3 as a remainder,549/5 gives 4 as a remainder,977/5 gives 2 as remainder then (3*4*2=24).when 24/5 gives 4 as a remainder. Hence proved.

Q #9
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Quants Question

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

One quantity of wheat at Rs 9.30 per Kg is mixed with another quality at a certain rate in the ratio 8:7. If the mixture so formed be worth Rs 10 per Kg, what is the rate per Kg of the second quality of wheat?

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Let the rate of second quality be Rs x per Kg.

C.P of 1Kg wheat of 1st kind = 930p 

C.P of 1 Kg wheat of 2nd kind = 100x p 

Mean price = 1000p

By rule of alligation we have required ratio 8 : 7


Q #10
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Quants Question

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

A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

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Suppose the can initially contains 7x and 5x litres of mixtures A and B respectively

Quantity of A in mixture left 

= (7x - 7/12 x 9) litres = (7x - 21/4) litres.

Quantity of B in mixture left 

= (5x - 5/12 x 9) litres = (5x - 15/4) litres.

(7x - 21/4) / [(5x - 15/4)+9] = 7/9 = › 28x - 21/20x + 21 = 7/9 =› 252x - 189 = 140x + 147

     =› 112x = 336 =’ x = 3.

So, the can contained 21 litres of A.