Important Questions on Mathematical Inequalities (New Pattern) and Quadratic Equations for SBI PO Exam for PO, Clerk, SO, Insurance Exams

Question 1

Direction: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.

Quantity I: In an examination, Ankita scored 35 marks less than Puneeta. Puneeta scored 65 more marks than Meenakshi. Rakhi scored 115 marks, which is 20 marks more than Meenakshi's. Simpy scored 108 marks less than the maximum marks of the test. The percentage of marks Simpy scored in the examination, if she got 67 marks more than Ankita.

Quantity II: The length of a rectangle is increased by 80%. The percentage by which, the width has to be decreased to maintain the same area.

Question 2

Direction: Find the correct relationship between the given quantities:

A bag contains 20 balls which include 7 balls of red colour, 8 balls of white colour and rest are of green colour. 7 balls are drawn without replacement from the bag.
Quantity I: Probability of drawing 3 balls of red colour and 4 balls of white colour.
Quantity II: Probability of drawing 5 balls of white colour and 2 balls of green colour.

Question 3

Direction: Find the appropriate relation for quantity1 and quantity2 in the following question:

Quantity 1: 91854, 10206, 1134, 126, (?)
Quantity 2: 38, 43, 53, (?), 113, 193

Question 4

Direction: Find the correct relationship between the given quantities:

How many trees can be put in Circular Park whose circumference is 924 cm
Quantity 1:allowing 42cm² area for each tree.
Quantity 2:allowing 49cm² area for each tree.

Question 5

Direction: Find the appropriate relation for quantity1 and quantity2 in the following question:

Quantity 1: Number of hours in which A, B and C can complete the work if A, B and C alone can finish it in 25, 20 and 15 hours respectively.
Quantity 2: Number of hours in which B can finish the work if A working alone finishes it in 20 hours while working together they finish it in 5 hours.

Question 6

Directions: In each of these questions, two equations (I) and (II) are given.
Solve both the equations and give answer

I. 63x² – 194x + 143 = 0
II. 99y² – 255y + 150 = 0

Question 7

Directions: In each of these questions, two equations (I) and (II) are given.
Solve both the equations and give answer

I. 12x² –32x – 240 = 0
II. 15y² –216y +777 = 0

Question 8

Direction: In the following question two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. x² – 13x + 36 = 0
II. y² – 30y + 161 = 0

Question 9

Direction: In the following question, there are two equations. Solve the equations and answer accordingly.

I. 11x² - 38 x - 24 = 0
II. y² - y - 30 = 0

Question 10

Directions: In each of these questions, two equations (I) and (II) are given.
Solve both the equations and give answer

I. 15x – 9y = 20
II. 24x + 12y = 48