Maths Inequality Questions and Answers for SBI PO 2019, IBPS PO 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 : Find the amount on compound interest on a sum of Rs.55000 at the rate of 15% per annum after three years.
 
Quantity II : Find the simple interest on a sum of Rs.60000 at the rate 25% per annum after 5.5 years.
» Explain it
A
Quantity I :

Find the amount on compound interest on a sum of Rs.55000 at the rate of 15% per annum after three years.

Reqd. amt. = 55000 ×  115  ×  115  ×  115  = Rs. 83648.125
100 100 100
Quantity II :

Find the simple interest on a sum of Rs.60000 at the rate 25% per annum after 5.5 years.
Reqd. SI =  60000 × 25 × 5.5  = Rs. 82500
100

Hence, Quantity I > Quantity II

Hence, option A is correct.
 
2
Quantity I :  What will be the probability of selecting a letter as vowel from the word KNIFE?
 
Quantity II : Find the probability of selecting 2 Red balls from a bag containing 8 red balls and 10 yellow balls?
» Explain it
A
Quantity I :

Number of letters in 'KNIFE' = 5

Number of vowels in 'KNIFE' = 2

Reqd. Probability =  2
5

Quantity II :

Total number of balls in bag = 10 + 8 = 18

Number of way in which 2 balls can be drawn = 18c2

Number of ways in which 2 blue balls can drawn = 8c2

Reqd. Probability =  8c2
18c2

8  × 7
2
 =   
28
18  × 17
2
153
 

Here,

Quantity I > Quantity II

Hence, option A is correct.
 
3
Quantity I : The length of a rectangular park is 4 times its breadth. There is a fountain in it of area is 900 square meter and which is one fourth of the total area of the park. What is the breadth of the park?
 
Quantity II : The ratio of length to breadth of the rectangle is 5 : 3. If the length of the rectangle is decreased by 8 m it becomes a square, then what is the area of the square thus formed?
» Explain it
C
Quantity I :

Let the length of the rectangular park is L.

then,

Breadth =  length  =  L
4 4

So, area of the park =  L2
4

And, area of fountain =  1  (Area of park)
4

⇒ 900 =  1  ×  L2
4 4

⇒ L2 = 16 × 900

⇒ L = 4 × 30 = 120

Here,
the breadth of park is =  120  = 30 m
4

Quantity II :

Let the side of the square be x metres

then,

Area of square = x2 sq.m

Since, the square is made by decreasing the length of rectangle.

So, the length of the rectangle be equal to the side of square plus the value decreased.

length = (x + 8) m

As, there is no change in breadth.

So breadth = x m

we have
 
⇒  x + 8  =  5
x 3

⇒ 3x + 24 = 5x

∴ x = 12

then area of square = 144 m2

Here, Quantity I < Quantity II

Hence, option C is correct.
 
4
Quantity I : There are 7 white, 4 green, 3 yellow and 6 black balls in a bag. Four ball are drawn at random. Find the probability that all the balls are of different colours.
 
Quantity II : There are 3 red, 5 green and 6 white balls in a bag. Three balls are drawn at random. Find the probability that all the balls are of same colour.
» Explain it
A
Quantity I: There are 7 white, 4 green, 3 yellow and 6 black balls in a bag. Four ball are drawn at random. Find the probability that all the balls are of different colours.

White = 7

Green = 4

Yellow = 3

Black = 6

Total = 20

Reqd. probability =  7c1 × 4c1 × 3c1 × 6c1
20c4

7 × 4 × 3 × 6  =  168
4845 1615
 


Quantity II: There are 3 red, 5 green and 6 white balls in a bag. Three balls are drawn at random. Find the probability that all the balls are of same colour.
Red = 3

Green = 5

White = 6

Total = 14
 

Reqd. probability = 3c3 + 5c3 + 6c3
14c3

1 + 10 + 20  =  31
364 364

Hence, Quantity I > Quantity II

Hence, option A is correct.
 
5
Quantity I: When a motorboat travels in upstream then its speed become 75% of the speed of the motorboat in still water .The speed of the stream is how much percentage of the speed of the motorboat in still water?

Quantity II: When a sum of money was invested at simple interest then at the end of 8 years the amount becomes 300% of the sum of money. What is the rate of interest?
» Explain it
E
Quantity I:

Let the speed of the motorboat in still water = x km per hour

and the speed of the stream = y km per hour

then, according to the question, x – y

= 75% of x

25x = 100y

x  = 4 : 1
y

The reqd. % =  1 × 100  = 25%
4

Quantity II:

Let the sum of money = x

then,
x + x × 8 ×  r  = 3x
100

x × 8 ×  r  = 2x
100

R =  200  = 25%
8

Therefore, q1 = q2

Hence, option E 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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