Maths Inequality Questions and Answers for IBPS PO 2019, SBI Clerk Mains 2019 at Smartkeeda

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
Quantity I : A sum of money under simple interest becomes 5 times of itself in x years but it becomes 9 times of itself in x2/2 years. What is the value of x? 
 
Quantity II : 3.5 years 
» Explain it
A
Quantity I:

Let the sum of money was P and rate of interest is R then we know that SI

P × R × T
100

SI in x years = 5P – P = 4P

4P =  P × R × x  ...........(i)
100

SI in x2/2  years = 9P – P = 8P

8P =  P × R × x2  .........(ii)
2 × 100 

Divide equation (i) to equation (ii)

4  =  2
8 x

x = 4 years

Quantity II : 3.5 years

Therefore, Quantity I > Quantity II

Hence, option A is correct.
2
Quantity I : In the given figure, ABCD is a rectangle with dimensions 8 cm and 6 cm. What is the sum of the area of the triangle ADE and the triangle BCE?



Quantity II : 25 sq. cm 
» Explain it
C
Quantity I :

We know that, in rectangle, if the base of triangle is same then the area of the triangle is half of the area of the rectangle

The area of the triangle DEC

1 × 6 × 8  = 24. Sq. cm.
2

therefore, the sum of the area of the triangle ADE and the triangle BCE = area of the rectangle – area of the triangle DEC = 6 × 8 – 24 = 48 – 24 = 24 sq. cm (area of the rectangle = length × breadth)

Quantity II: 25 sq. cm

Therefore, Quantity I < Quantity II

Hence, option C is correct.
3
The ratio of boys to girls in a school is 4 : 5. If 45 students from the same school left in the same ratio and 40 new girls joined the school, then the ratio of boys to girls becomes 4 : 9.  
 
Quantity I : What percentage of total students will be boys if 50% of the total number of boys leave the school?
 
Quantity II : 30%  
» Explain it
C
Let the number of boys = 4x and the number of girls = 5x

If 45 students from the same school leave the school

Then the number of boys left =  45 × 4  = 20
9

Then the number of girls left =  45 × 5  = 25
9

According to the question,

4x – 20  =  4  =>  4x – 20  =  4    
5x – 25 + 40 9 5x + 15 9

36x – 180 = 20x +  60 

16x = 240

x = 15

the number of boys = 4x = 4 × 15 = 60

and the number of girls = 5x = 5 × 15 = 75

When, 50% of the boys left then the remaining number of boys = 50% of 60 = 30

Total students = 30 + 75 = 105

Reqd. % =  30 × 100  =  28.57% approximately
105

Therefore, Quantity : I < Quantiy : II

Hence, option C is correct.
4
In a race of 500 meters, A beats B by 50 meters but in a race of 1 km, B beats C by 250 meters. 
 
Quantity I : In a race of 800 meters, by how much distance will A beat C?
 
Quantity II : 250 meters 
» Explain it
A
Case 1, 
 
When A goes for 500 meters B goes for 450 meters 
 
A : B = 500 : 450 = 10 : 9 
 
Case 2, 
 
When B goes for 1000 meters, C goes for 750 meters 
 
B : C = 1000 : 750 = 4 : 3 
 
A : B : C = 40 : 36 : 27 
 
Quantity I: When A travels 40x meters C travels 27x meters 
 
When A travels 40 × 20 = 800 meters 
 
C will travel 27 × 20 = 540 meters 
 
It means, A will beat C by 800 – 540 = 260 meters 
 
Therefore, Quantity I > Quantity II 

Hence, option A is correct.
5
The compound interest received on Rs. 5000 at x% per annum at the end of 2 years is equal to the simple interest received in four years on Rs. 2650 at the same rate of interest. 
 
Quantity I : What is the total simple interest received?
 
Quantity II : Rs. 1275 
» Explain it
C
Let the rate of interest = r% per annum then

5000  ( 1 +  r ) 2  – 5000 =  2650 × 4 × r
100   100

5000 (1 + 0.01r)2 – 5000 = 106r

5000(1 + 0.0001r2 + 0.02r) – 5000 = 106r

5000 + 0.5r2 + 100r – 5000 = 106r

0.5r2 – 6r = 0

0.5r = 6

r = 12
The S. I. =  2650 × 12 × 4  = 106 × 12 = Rs. 1272
100

So, Quantity I = Rs. 1272

Quantity II = Rs. 1275

Hence, option C is correct.

Maths Inequality Questions and Answers for IBPS PO 2019, SBI Clerk Mains 2019

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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. Quantity I: A sum of money under simple interest becomes 5 times of itself in x years but it becomes 9 times of itself in x2/2 years. What is the value of x?
  Quantity II: 3.5 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
 
Q.2.  Quantity I: In the given figure, ABCD is a rectangle with dimensions 8 cm and 6 cm. What is the sum of the area of the triangle ADE and the triangle BCE?


 
Quantity II : 25 sq. cm
 
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.  The ratio of boys to girls in a school is 4 : 5. If 45 students from the same school left in the same ratio and 40 new girls joined the school, then the ratio of boys to girls becomes 4 : 9. 

Quantity I : What percentage of total students will be boys if 50% of the total number of boys leave the school?

Quantity II : 30%  
 
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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