Most Important Questions of Inequalities for SBI PO

As we all know SBI PO is here and we are ready with the 80 days plan in which we provide you daily quizzes on new pattern questions with different topics that will help you to go through this exam.
So, here we are with the Most important questions of Inequalities.


Q1. Quantity 1: Percentage of cement in Mortar. 900 kg of mortar consists of 45% sand, 144 kg of lime and the rest cement.
Quantity 2: Percentage of apples thrown by vendor. A vendor sells 60% of apples he had and throws away 15% of the remainder. Next day he sells 50% of the remainder and throws away the rest. 

(a) Quantity I > Quantity II 
(b) Quantity I < Quantity II 
(c) Quantity I ≥ Quantity II 
(d) Quantity I ≤ Quantity II 
(e) Quantity I = Quantity II or No relation

Q2. Quantity 1: Highest score. The average marks of a student in 8 subjects is 87. Of these, the highest marks are 2 more than the next in value. If these two subjects are eliminated, the average marks of the remaining subjects is 85. 
Quantity 2: Number of officers. The average monthly salary of employees, consisting of officers and workers of an organization is Rs. 3000. The average salary of an officer is Rs. 10000 while that of a worker is Rs. 2000 per month. There are a total 400 employees in the organization.

(a) Quantity I > Quantity II 
(b) Quantity I < Quantity II 
(c) Quantity I ≥ Quantity II 
(d) Quantity I ≤ Quantity II 
(e) Quantity I = Quantity II or No relation

Q3. Quantity1: Cost price of article. If an article is sold at 8% profit instead of 8% loss, it would have brought Rs. 12 more. 
Quantity 2: Cost price of the book. A man sells a book at a profit of 20%. If he had bought it at 20% less and sold it for Rs. 18 less he would have gained 25%.

(a) Quantity I > Quantity II 
(b) Quantity I < Quantity II 
(c) Quantity I ≥ Quantity II 
(d) Quantity I ≤ Quantity II 
(e) Quantity I = Quantity II or No relation

Q4. Ajit can complete a piece of work in 60 days whereas Kailash and Shailendra working together can complete it in 15 days. When Ajit and Shailendra alternately work for a day each the work gets completed in 40 days.
Quantity 1: No. of days in which Kailash will complete twice the work.
Quantity 2: No. of days in which Shailendra will complete twice the work.

(a) Quantity I > Quantity II 
(b) Quantity I < Quantity II 
(c) Quantity I ≥ Quantity II 
(d) Quantity I ≤ Quantity II 
(e) Quantity I = Quantity II or No relation

Q5. In the given figure, PT is the tangent to the circle, ∠BTP = 56°
And ‘A’ is any point on the minor arc BT.





Quantity 1: ∠BAT
Quantity 2: ∠BOT

(a) Quantity I > Quantity II 
(b) Quantity I < Quantity II 
(c) Quantity I ≥ Quantity II 
(d) Quantity I ≤ Quantity II 
(e) Quantity I = Quantity II or No relation


Q6. Quantity 1: Cost paid by an Eskimo to make an igloo with a sheet of canvas. Base radius of the tent = 7 m and cost of canvas = Rs. 25/sq. m. 
Quantity 2: Total of A’s and B’s shares. An amount is to be distributed among A, B and C in the ratio 3 : 1 : 5. The difference between B’s and C’s shares is Rs. 3600.

(a) Quantity I > Quantity II 
(b) Quantity I < Quantity II 
(c) Quantity I ≥ Quantity II 
(d) Quantity I ≤ Quantity II 
(e) Quantity I = Quantity II or No relation

Q7. The difference between the time taken by two cars to travel a distance of 350 km is 2 h. 20 min. The difference between  their speeds is 5 km/hr.
Quantity 1: speed of faster car.   
Quantity 2: Speed of slower car. 

(a) Quantity I > Quantity II 
(b) Quantity I < Quantity II 
(c) Quantity I ≥ Quantity II 
(d) Quantity I ≤ Quantity II 
(e) Quantity I = Quantity II or No relation

Q8. Quantity 1: Rate of flow of the river. A motor boat can travel at 10 km/hr in still water. It travelled 91 km downstream in a river and then returned, taking altogether 20 hrs. 
Quantity 2: Speed of boat in still water. A boat covers a certain distance downstream in 1 hr. while it comes back in 1.5 h. The speed of stream is 3km/hr. 

(a) Quantity I > Quantity II 
(b) Quantity I < Quantity II 
(c) Quantity I ≥ Quantity II 
(d) Quantity I ≤ Quantity II 
(e) Quantity I = Quantity II or No relation


Q9. There are two containers: the first contains 500 ml. of alcohol, while the second contains 500 ml. of water. Three cups of alcohol from the first container is taken out and is mixed well in the second container. Then, three cups of this mixture is taken out and is mixed in the first container. 
Quantity 1: Proportion of water in first container. 
Quantity 2: Proportion of alcohol in second container. 

(a) Quantity I > Quantity II 
(b) Quantity I < Quantity II 
(c) Quantity I ≥ Quantity II 
(d) Quantity I ≤ Quantity II 
(e) Quantity I = Quantity II or No relation


Q10. Quantity 1: Present age of Father. Father’s age is 4 times that of his son. 5 years back, it was 7 times.
Quantity 2: Present age of man. Fifteen years hence, a man will be four times as old as he was fifteen years ago. 

(a) Quantity I > Quantity II 
(b) Quantity I < Quantity II 
(c) Quantity I ≥ Quantity II 
(d) Quantity I ≤ Quantity II 
(e) Quantity I = Quantity II or No relation

Directions (11-15): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer-
(a) if x > y 
(b) if x ≥ 
(c) if x < y 
(d) if x ≤ y
(e) if x = y or the relationship between x and y cannot be established.




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