Inequalities Maths Questions PDF for SBI PO 2019 | Free Maths Study Material for Bank PO Exams

Directions: In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. (only quantity is to be considered)
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? 
» Explain it
C
Let the speed of the motorboat in still water = 3a km/hr then the speed of the motorboat in stream = a km/hr

According to the question, 3a – a = 2a = 4

a = 2 km/hr

the speed of the motorboat in still water = 3a km/hr = 6 km/hr

the speed of the motorboat in stream = a km/hr = 2 km per hour

Upstream speed = 6 – 2 = 4 km/hr

Downstream speed = 6 + 2 = 8 km per hour

x  +  x + 20  = 17.5
4 8

8x + 4x + 80 = 17.5 × 32 = 560

12x = 560 – 80 = 480

x = 40

Quantity I : 40

Quantity II :
Distance = speed × time =  8 × 21  = 42 km
4

Therefore, Quantity I < Quantity II

Hence, option C is correct.
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?
» Explain it
A
Let A’s efficiency = 5x units then B’s efficiency = 80% of 5x = 4x

Total work done by A and B together in 15 days = (5x + 4x) × 15 = 9x × 15 = 135x units

Quantity I:

50% of the work =  135x  = 67.5x
2

First day, A will do 5x units

2nd day, B will do 4x units

In the first 2 days, i.e. in one cycle 5x + 4x = 9x units

In 7 cycle i.e. 14 days 9x × 7 = 63x units

Remaining = 67.5x – 63x = 4.5x units

That A will do in approximately 1 day

Total number of days = 14 + 1 = 15 days approximately

Quantity II: 40% of the work = 40% of 135x
= 40 ×  135x  = 54x
100

B alone will take,  54x  = 13.5 days
4x

Therefore, Q1 > Q2

Hence, option A is correct.
3
The speed of a 500 meters long train is 5 km per hour more than that of a car. If the car and the train travel in opposite direction then the car can cross the train completely in 1.5 minutes. 
 
Quantity I : What is the speed of the train? 
 
Quantity II : What will be the speed of car when it is increased by 50%? 
» Explain it
A
Let the speed of the car = x km per hr = x ×  5  m/s
18

The speed of the train = x + 5 km/hr = (x + 5) ×  5  m/s
18

If they travel in opposite direction then the relative speed = (x + x + 5) km per hr
= (2x + 5) ×  5  m/s
18

We know that, distance = speed × time
500 = (2x + 5) ×  5  × 90
18

2x + 5 = 20

x = 7.5  km per hour

Quantity I :

The speed of the train = x + 5 = 12.5 km per hr

Quantity II :
150% of 7.5 =  150 × 7.5  = 11.25 km per hour
100

Therefore, Quantity: I > Quantity : II

Hence, option A is correct.
4
In a mixture of Ghee and Dalda, the quantity of Dalda is 40% less than  the quantity of Ghee. When 5 litres of pure Ghee were added then the quantity of Ghee becomes 80% more than the quantity of Dalda. 
 
Quantity I : What is the quantity of Dalda in the mixture?  
 
Quantity II : 40 litres 
» Explain it
C
Let the quantity of Ghee = 10x litres then the quantity of Dalda = (100 – 40)% of 10x  = 60% of 10x = 6x litres 
 
When 5 litres of Ghee was added then the quantity of Ghee = 10x + 5 litres and the quantity of Dalda = 6x litres 
 
According to the question,

180% of 6x = (10x + 5) 
 
10.8x = 10x + 5 
 
0.8x = 5 
 
8x = 50 
 
x = 6.25 litres 
 
Quantity I :

The quantity of Dalda = 6x = 6 × 6.25 = 37.5 litres 
 
Therefore, Quanity : I < Quantity : II

Hence, option C is correct.
5
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 
» Explain it
A
0n 1st Jan 2018, the sum of the age of 5 members = 45 × 5 = 225 years 
 
On 1st Jan 2019, the sum of the age of 4 members = 32 × 4 = 128 years 

So, on 1st Jan 2018 the sum of the age of 4 members  = 31 × 4 = 124 years

So, on 1st Jan 2018 the age of the person who died on 1st July 2018 = (225 – 124) = 101 years
 
The age of person when he died = (101 + 0.5) = 101.5 years 
 
Therefore, Quantity : I > Quantity : II

Hence, option A is correct.

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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
 
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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