Important for :

1

In a mixture of 80 litres acid and water, the ratio of acid to water is 3 : 5.

A

The quantity of acid = | 80 × 3 | = 30 litres |

8 |

The quantity of Water = | 80 × 5 | = 50 litres |

8 |

When half of the solution was withdrawn then acid and water would be withdrawn in the same ratio

The reaming quantity of acid = | 30 | = 15 litres |

2 |

And the remaining quantity of water = | 50 | = 25 litres |

2 |

Now, in the same quantity a new solution x of acid and water was added then the ratio become 1 : 1

It means, Acid = 40 litres and water = 40 litres

The quantity of acid in the new solution x = 40 – 15 = 25 litres

The quantity of water in the new solution = 40 – 25 = 15 litres

The reqd. % = | 25 × 100 | = | 250 | = 62.5% |

40 | 4 |

Hence, option A is correct.

2

In a family of three members, A, B, and C the difference between A’s age and B’s age is same as the difference between B’s age and C’s age. The average of their age is 45 years and the age of eldest member of the family is 60 years.

C

According to the question,A – B = B – C

2B = A + C ----- (i)

And A + B + C = 45 × 3 = 135 years ------ (ii)

Solve this equation or we can say that the age of A, B, and C are in athematic progression

Were let the common difference = D then

The age of three members X – D, X, X + D years

X – D + X + X + D = 45 × 3

3X = 45 × 3

X = 45 years

The age of eldest member = X + D = 45 + D = 60

D = 15 years

And Eldest member’s age = 60 – 14 = 46 years

The sum = 16 + 46 = 62 years

The reqd. average = | 62 | = 31 years |

2 |

Therefore, Quantity : I < Quantity : II

Hence, option C is correct.

3

C

Let the number of girls = x and the number of boys = y then

50% of x = 30% of y

5x = 3y

x : y = | 3 |

5 |

x = number of girls = 3a then y = number of boys = 5a

The reqd. % = | 3a × 100 | = | 300 | = 37.5% |

8a | 8 |

Let the number of girls = x and the number of boys = y then

33.33% of x = 66.67% of y

x = 2y

x : y = 2 : 1

x = number of girls = 2a then y = number of boys = a

The reqd. % = | 2a × 100 | =66.67 % |

3a |

Therefore, Quantity : I < Quantity : II

Hence, option C is correct.

4

A train of length x meters travelling at the speed of 54 km per hour can cross a boy standing on a platform in 16 seconds but at the speed of 72 km per hour it can cross a platform of y meters long in 24 seconds.

E

54 km per hour = | 54 × 5 | = 15 meters per second |

18 |

The length of the train = 15 × 16 = 240 meters

72 km per hour = | 72 × 5 | = 20 meters per second |

18 |

Let the length of the platform = y meters then

(240 + y) = 20 × 24 = 480

y = 480 – 240 = 240 meters

Therefore, Quantity : I = Quantity : II

Hence, option E is correct.

5

10 litres of water were drawn from a cask full of water and it was filled with 30 litres milk then the concentration of milk in the mixture become 20%.

C

x – 10 + 30 = x + 20 litres = quantity of mixture

The quantity of milk in x + 20 litres = 30 litres

According to the question, 20% of (x + 20) = 30

x + 20 = 150

x = 130 litres

And the quantity of mixture = x + 20 = 150 litres

The quantity of water = x – 10 = 120 litres

In 1 litre mixture, the quantity of water = | 120 | litres |

150 |

In y litres mixture, the quantity of water = | 12y | litres |

15 |

Now, let y litres of mixtures was replaced with 10 litres of milk

Then, the quantity of mixture = 150 – y + 10 = 160 – y litres

60% of (160 – y) = 120 – | 12y |

15 |

96 – 0.6y = 120 – 0.8y

0.2y = 24

y = 120

Quantity II : 130 litres

Therefore, Quantity : I < Quantity : II

Hence, option C is correct.

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Here are some examples of quantity based maths questions for sbi po 2019

**Q.1.** A motorboat can travel x km upstream and x + 20 km downstream in 17.5 hours. If the ratio of the speed of the motorboat in still water to the speed of stream is 3: 1 and the difference between their speed is 4 km.

Quantity I : What is the value of x?

Quantity II : How much distance the motorboat will travel downstream in 5 hours 15 minutes?

A. Quantity : I > Quantity : II

B. Quantity : I ≥ Quantity : II

C. Quantity : I < Quantity : II

D. Quantity : II ≥ Quantity : I

E. Quantity I = Quantity II or relation can't be established

**Q.2.** Two persons, A and B together can do a piece of work in 15 days. B is 80% as efficient as A.

Quantity I : If they work on alternate day, starting with A then how many days will they take to complete 50% of the work?

Quantity II : How many days, B alone will take to complete 40% of the total work?

A. Quantity : I > Quantity : II

B. Quantity : I ≥ Quantity : II

C. Quantity : I < Quantity : II

D. Quantity : II ≥ Quantity : I

E. Quantity I = Quantity II or relation can't be established

**Q.3.** On 1st Jan 2018, the average age of a family of 5 members is 45 years. On 1st July 2018, one of the members of the family died. On 1st Jan 2019, the average age of the family will become 32 years.

Quantity I : At what age, did the person die?

Quantity II : 100 years

A. Quantity : I > Quantity : II

B. Quantity : I ≥ Quantity : II

C. Quantity : I < Quantity : II

D. Quantity : II ≥ Quantity : I

E. Quantity I = Quantity II or relation can't be established

For more questions you can take maths inequality given quizzes with explanation.

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Folks, maths inequality is frequently asked topic in bank po and bank clerk exams, so every aspirant must be aware with it.Aspirants can easily score high by just practicing some important maths inequality question. At Smartkeeda you will find maths inequality questions in the form of quizzes and pdf form too.

So you can practice in both modes online and offline.In quantity based questions you will see questions are being asked are Profit and Loss, Partnership, Time and Work, Pipe and cistern and probability etc.

Here are some examples of quantity based maths questions for sbi po 2019

Quantity I : What is the value of x?

Quantity II : How much distance the motorboat will travel downstream in 5 hours 15 minutes?

A. Quantity : I > Quantity : II

B. Quantity : I ≥ Quantity : II

C. Quantity : I < Quantity : II

D. Quantity : II ≥ Quantity : I

E. Quantity I = Quantity II or relation can't be established

Quantity I : If they work on alternate day, starting with A then how many days will they take to complete 50% of the work?

Quantity II : How many days, B alone will take to complete 40% of the total work?

A. Quantity : I > Quantity : II

B. Quantity : I ≥ Quantity : II

C. Quantity : I < Quantity : II

D. Quantity : II ≥ Quantity : I

E. Quantity I = Quantity II or relation can't be established

Quantity I : At what age, did the person die?

Quantity II : 100 years

A. Quantity : I > Quantity : II

B. Quantity : I ≥ Quantity : II

C. Quantity : I < Quantity : II

D. Quantity : II ≥ Quantity : I

E. Quantity I = Quantity II or relation can't be established

For more questions you can take maths inequality given quizzes with explanation.

If you want to take live test of SBI PO 2019 for Free click on the link given below

Best Mock Test of SBI PO 2019 Take Now Free Click Here…..