IBPS RRB 2016-17 - Quant Quiz-9

1. When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?


A. 100/6 %
B. 50/6 %
C. 100/3 %
D. 50/3 %
E. None of the Above

2. 60 kg of a certain variety of Sugar at Rs.32 per kg is mixed with 48 kg of another variety of sugar and the mixture is sold at the average price of Rs.28 per kg. If there be no profit or no loss due to the new selling price, then what is the price of second variety of Sugar? 


A. Rs.25
B. Rs.23
C. Rs.29
D. Rs.27
E. None of the Above

3. A vessel is filled with 120 litres of Chemical solution, Acid “A”. Some quantity of Acid “A” was taken out and replaced with 23 litres of Acid “B” in such a way that the resultant ratio of the quantity of Acid “A” to Acid “B” is 4:1. Again 23 litres of the mixture was taken out and replaced with 28 litre of Acid “B”. What is the ratio of the Acid “A” to Acid “B” in the resultant mixture?


A. 43 : 29
B. 46 : 23
C. 47 : 21
D. 46 : 29
E. None of the Above

4. 18 litres of Petrol was added to a vessel containing 80 litres of Kerosene. 49 litres of the resultant mixture was taken out and some more quantity of petrol and kerosene was added to the vessel in the ratio 2:1. If the respective ratio of kerosene and petrol in the vessel was 4:1, what was the quantity of kerosene added in the vessel?


A. 1 litre
B. 2 litre
C. 5 litre
D. 3 litre
E. None of the Above

5. A vessel which contains a mixture of acid and water in ratio 13:4. 25.5 litres of mixture is taken out from the vessel and 2.5 litres of pure water and 5 litres of acid is added to the mixture. If resultant mixture contains 25% water, what was the initial quantity of mixture in the vessel before the replacement in litres?


A. 58 litre
B. 68 litre
C. 78 litre
D. 48 litre
E. None of the Above

Directions(6 – 10):The following line graph gives the ratio of the amounts of imports by a company to the amount of exports from that company over the period from 1995 to 2001.  Ratio of Value of Imports to Exports by a Company over the Years.

6. If the imports in 1998 were Rs. 250 crores and the total exports in the years 1998 and 1999 together was Rs. 500 crores, then the imports in 1999 was?

A. Rs. 250 crores 

B. Rs. 300 crores

C. Rs. 357 crores 

D. Rs. 420 crores

E. None of these

7.    The imports were minimum proportionate to the exports of the company in the year ?

A. 1995 

B. 1996

C. 1997 

D. 2000

E. None of these

8.    What was the percentage increase in imports from 1997 to 1998?

A. 72 

B. 56

C. 28 

D. Data inadequate

E. None of these

9.    If the imports of the company in 1996 was Rs. 272 crores, the exports from the company in 1996 was?

A. Rs. 370 crores 

B. Rs. 320 crores

C. Rs. 280 crores 

D. Rs. 275 crores

E. None of these

10.  In how many of the given years were the exports more than the imports?

A. 1 

B. 2

C. 3 

D. 4

E. None of these

                                             ANSWERS

1. Original Mixture = x L
In (x + 1) Mixture, quantity of milk = (x + 1)* (25/100) = (x + 1)/4
one litre of milk is added to the new mixture
[((x + 1)/4 )+ 1 ]/ x + 2 = 40%
x = 3 ; quantity of milk = (3 + 1)/4 = 1L
percentage of milk in the original mixture = 1/3 * 100 = 100/3 %.

2. Total CP of first variety = 60 * 32 = 1920

     Total CP of second variety = 48 * x = 48x
     SP of Mixture = 1920 + (108 * 28) = 3024
     1920 + 48x = 3024 => x = 23.

     3. In 23 litre mixture, Quantity of Acid “B” = 23 * 1/5 = 4.6 litre

     Acid “A” in the mixture = 23 – 4.6 = 18.4 litre
     120 – x / 23 = 4 / 1
     x = 28
     Ratio = 92-18.4 : 18.4 + 28

     Ratio = 46 : 29. 

     4. Total quantity of the mixture = 18+80 = 98 litre
     quantity of petrol remaining = 18/2 = 9
     quantity of kerosene remaining = 80/2 = 40
     (40 + 2x) / (9 + x) = 4 / 1
     x = 2
     Quantity of kerosene added in the vessel = 2x = 4 litre.

      5. Quantity of Acid = 13x
      Quantity of water = 4x
      Total = 17x
      Resultant Mixture = 17x – 25.5 + 2.5 + 5 = 17x – 18
      Resultant water = 4x – 25.5 * (4/17) + 2.5 = 4x – 3.5
      Resultant mixture contains 25% water
      (17x – 18)*25/100 = 4x – 3.5
      x = 4
      Initial quantity = 17*4 = 68.

6.    Answer: (D)

The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively.

Let the exports in the year 1998 = Rs. x crores.

Then, the exports in the year 1999 = Rs. (500 - x) crores.

1.25 = 250/x è x = 250 /1.25 = 200 ( Using ratio for 1998

Thus, the exports in the year 1999 = Rs. (500 - 200) crores = Rs. 300 crores.

Let the imports in the year 1999 = Rs. y crores.

Then, 1.40 = y / 300 è y = ( 300 * 1.40 ) = 420 

Imports in the year 1999 = Rs. 420 crores.

7.    Answer: (C)

The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value.

Now, this ratio has a minimum value 0.35 in 1997, i.e., the imports are minimum proportionate to the exports in 1997.

8.    Answer (D)

The graph gives only the ratio of imports to exports for different years. To find the percentage increase in imports from 1997 to 1998, we require more details such as the value of imports or exports during these years.

Hence, the data is inadequate to answer this question.

9.    Answer: (B)

Ratio of imports to exports in the year 1996 = 0.85.

Let the exports in 1996 = Rs. x crores.

Then, 272/x = 0.85 è x = 272 / 0.85= 320

Exports in 1996 = Rs. 320 crores.

10.  Answer: (D)

The exports are more than the imports imply that the ratio of value of imports to exports is less than 1.

Now, this ratio is less than 1 in years 1995, 1996, 1997 and 2000.

Thus, there are four such years.

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