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Q #16
:

Logical Question

Directions: Read the following information to answer the question.

Three times the first of three consecutive odd integers is 3 more than twice the third. What is the third integer ?
+

If the three odd numbers are a - 2, a and a + 2, then 3(a - 2) = 3 + 2(a + 2) so a + 2 = 15.

Q #17
:

Logical Question

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

8 litres are drawn from a cask filled with wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the total solution is 16:81. How much wine did the cask hold originally?
+

Let the quantity of the wine in the cask originally be x litres.

Using formula: 

Final Amount of solute that is not replaced= Initial Amount ×(Vol. after removal/Vol. after replacing)n

                                                                                       Or

Final ratio of solute not replaced to total = Initial ratio ×(Vol. after removal/Vol. after replacing)n

Then ratio of wine to total solution in cask after 4 operations:

1×(x−8/x)4=16/81

 (considering 2nd formula here)

(x−8)/x=2/3

  3x−24=2x

x=24 litres.


Q #18
:

Logical Question

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

Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. Theratio in which these two mixtures be mixed to get a new mixture containing 693/13% milk, is:
+

S.P. of 1 kg of the mixture = Rs. 68.20, Gain = 10%.

C.P. of 1 kg of the mixture = Rs.{100/110}x 68.20= Rs. 62   


Q #19
:

Logical Question

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

In what proportion must wheat at Price 4.10 per kg must be mixed with wheat at Price 4.60 per kg, so that the mixture be worth Rs 4.30 a Kg ?
+

Here, CP of unit quantity of Dearer = 460 per kg , 

CP of unit quantity of Cheaper = 410 per kg 

So we can use above formulas : 

Quantity of cheaper/Quantity of dearer =

{C.P of dearer-Mean price}/{Mean price-C.P of cheaper}

460-430/430-410=30/20=3/2


Q #20
:

Logical Question

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

400 gm spirit solution has 40 % spirit in it , How may grams of spirit should be added to make it 60 % in the solution ?
+