# Maths Inequality Questions Quiz for Syndicate Bank, Canara Bank PO and IBPS Clerk Mains Exams

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### Directions: Each question below contains a statement followed by Quantity I and Quantity II. You have to study the information along with the question and compare the value derived from Quantity I and Quantity II, then anwer:

Important for :
1
Quantity I: Speed of boat in still water, if a man can travel 54 km downstream in 9 hours and 40 km upstream in 10 hours.

Quantity II: Speed of boat in still water, if a man can travel 45 km downstream in 9 hours and the speed of stream is 1 kmph.

» Explain it
C
Quantity I:
Let speed of boat = x kmph, speed of stream = y kmph

upstream speed = x – y, downstram speed = x + y
 x + y = 54 9

x + y = 6 ....1

 x – y = 40 10

x – y = 4 ....2

equation 1 + equation 2

x = 5

speed of boat = 5 kmph

Quantity II:

Let speed of boat = x kmph, speed of stream = 1 kmph

downstream speed = x + 1

 45 = x + 1 9

5 – 1 = x

x = 4

Speed of boat = 4 kmph

Quantity I > Quantity II

Hence, option C is correct.

2
Quantity I: Age of mother, if the age of Smiti is 1/7th of her mother's age and after 5 years Smiti's age will be 12 years.

Quantity II: Age of mother, if the ratio of the ages of Sukriti and her mother is 3 : 7 and after 3 years the ratio of their ages will be 6 : 13.

» Explain it
E
Quantity I:
Smiti's age after 5 years = 12 years

Present age of Smiti = 7 years

 Mother's age = Smiti's age 7

Mother's age = 7 × 7 = 49 years

Quantity II:   Let Sukriti's age = 3x, Mother's age = 7x

According to the statement,

3x + 3 : 7x + 3 = 6 : 13

13 (3x + 3) = 6 (7x + 3)

39x + 39 = 42x + 18

39 – 18 = 42x – 39x

21 = 3x

x = 7

Mother's age = 7 × 7 = 49 years

Quantity I = Quantity II

Hence, option E is correct.

3
Quantity I: A bag contains 3 green, 2 yellow and 3 purple balls. Two balls are drawn at random, what is the probability that no ball is purple.

Quantity II: (7x – 8) (14x – 5) = 0

» Explain it
A
Quantity I:

Favourable oucomes = 5C= 10

Total outcomes = 8C2 = 28

 Probability = 10 = 5 28 14

Quantity II:

(7x – 8) (14x – 5) = 0

7x
– 8 = 0, 14x – 5 = 0

 x = 8 , 5 7 14

Quantity I ≤ Quantity II

Hence, option A is correct.

4
What is the area of the rectangle?

Quantity I: The area of the rectangle is equal to the area of the square whose side is 24 cm.

Quantity II: The perimeter of the rectangle is 88cm, if the ratio of the length and the breadth of the rectangle is 6 : 5.

» Explain it
E
Quantity I:

Area of the square = 24 × 24

= 576 cm2

Area of the square = Area of the rectangle

Area of the rectangle = 576 cm2

Quantity II:

Length of the rectangle = 6x, Breadth = 5x

Perimeter = 88

2 (l + b) = 88

6x + 5x = 44

11x = 44

x = 4

Length = 24cm, breadth = 20cm

Area of the rectangle = 24 × 20

= 480 cm2

Quantity I > Quantity II

Hence, option E is correct.

5
Anuj can do the half of the work in 12 days and Manoj can do the whole work in 30 days.

Quantity I: In how many days will Anuj and Manoj do the whole work?

Quantity II: If Anuj starts the work and works for 4 days, after that Manoj join him, in how many days will the whole work be completed?

» Explain it
D
Anuj can do the half in 12 days so he can do the whole work in 24 days. Manoj can do the whole work in 30 days.

Quantity I:

Anuj and Monoj can do the whole work together =  1
 1 + 1 24 30

 = 1 5 + 4 120

 = 120 = 40 days 9 3

Quantity II:
 Anuj's 1 day work = 1 24

 Anuj's 4 day work = 4 = 1 24 6

 Remaining work = 1 – 1 = 5 6 6

Anuj and Manoj can do the remaining work,
5
6
 1 + 1 24 30

 = 5 6 9 120

 = 100 days 9

 Total time = 100 + 4 = 136 9 9

Quantity I < Quantity II

Hence, option D is correct.

##### You may also like to study

Maths Inequalities questions are frequently asked in all the major Bank PO and Clerk Mains exam. In Maths Inequalities Questions a candidate is required to find which statements have sufficient data to reach the answer. Though the Maths Inequalities questions seem difficult at first glance but are easier and can fetch the exam aspirants higher marks in less time. Here’s a 5 question based High Level Maths Inequalities Quiz 2 with detailed explanation for you to practice Maths Inequalities Reasoning topic for the upcoming Bank exams – Syndicate Bank PO, Canara Bank PO and IBPS Clerk Mains.

Read the directions carefully, analyze the information given in the statements and try to select the correct option out of the given ones.

All the best!