Equations and Inequations Online MCQs with Answers

Here you can practice all the latest Equations and Inequations Online MCQs questions and answers for free. Along with answers, you can also find detailed solutions for all Aptitude Test questions. These aptitude questions will help you to crack competitive exams such as IT exams, CSS, FPSC, ISSB, government exams, bank exams, entrance exams etc. These free aptitude assessment test questions with answers to practice consist of Number SystemLCM and HCFPercentageAverage and AgeRatio and ProportionPartnershipProfit and LossDiscountSimple IntrestCompound InterestTime and WorkTime and DistanceApproximationsPermutation CombinationProbability, Equations and Inequations, Mensuration, Data Sufficiency, Number SeriesGeometryCombinationProgressionChain RuleClocks and calendarsSquare and Square RootsStocks and ShareSurds and indicesTrigonometry.

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Equations and Inequations Online MCQs with Answers

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Equations and Inequations Online MCQs

1. Quantity I: In a class 45 students boys and girls are in the ratio of 5: 4. The average age of boys is 36 years and a girl is 22.5 years. Find the average age of the class
Quantity II: The ages of Rahul and Praveen are 40 years and 60 years, respectively. How many years before the ratio of their ages was 3: 5?
Quantity III: The ages of Sam and Sudha are in the ratio of 4: 5. After 12 years the ratio of their ages will be 7: 8. What is the difference in their ages?
Which of the following should be placed in the blank spaces of the expression Quantity I__ Quantity II___Quantity III from left to right with respect to the above statements?   
>, <
<, >
>,>
>, ≥
≤, ≥
Correct Ans: >,>

2. Quantity I: There are 6 men and 6 women in a class, from these 4 members are to be selected to form a committee. Find the number of ways that at least two women were in the committee.
Quantity II: A and B together can do a piece of work in 6 (6/7) days with the help of C finishes in 5 (1/3) days. If C got Rs.200 as wage, then find the total wages of A, B and C.
Quantity III: A retailer purchases a sewing machine at discount of 15% and sells it for Rs.1955. In the bargain he makes a profit of 15%. How much is the discount which he got from the wholesale?
Which of the following should be placed in the blank spaces of the expression Quantity I__ Quantity II___Quantity III from left to right with respect to the above statements?    
>, <
<, >
>, =
>, ≥
≤, ≥
Correct Ans: <, >

3. Quantity I: 6 hrs
Quantity II: A man can covers 48 km distance in 4 hours. If he increases his speed by 20% then find the time taken to cross 72 km.
Quantity III: Pipe A, B and C together can fill a tank in 8 hrs, while C and A together can fill a tank in 12 hrs. If A is 33(1/3)% efficient of pipe C, then find the time taken by Pipe B and C together to the fill the tank?
Which of the following should be placed in the blank spaces of the expression Quantity I__ Quantity II___Quantity III from left to right with respect to the above statements?   
>, <
<, >
>, =
>, ≥
≤, ≥
Correct Ans: >, <

4. Quantity I: Marked price of an article is 50% more than the cost price. If the shopkeeper gives discount of 10% and cost price of that article is Rs 100 and he sale his 40 articles, then find the profit earned by him.
Quantity II: Seeta bought an article at 10% discount on the marked price. Seeta marks 20% above and sells to Geeta at a discount of 20%. If Geeta pays Rs. 864, then find the marked price of an article.
Quantity III: A and B enter into a partnership with a capital ratio of 4: 5. After 3 months, A withdrew 3/4th and receives Rs.3500 from the total profit at the end of the year, then find the total profit.
Which of the following should be placed in the blank spaces of the expression Quantity I__ Quantity II___Quantity III from left to right with respect to the above statements?      
>, <
<, >
>, =
>, ≥
≤, ≥
Correct Ans: >, <

5. Quantity I: Nithya can do a job in 15 days alone and Priya can do the same job in 18 days alone. A third person Kalai whose efficiency is (5/11)th of efficiency of both Nithya and Priya together, can do the same job in how many days alone?
Quantity II: A and B together can do a piece of work in 120/11 days. If A and B receives Rs.600 and Rs.500 respectively, then find the number of days taken by B alone.
Quantity III: P and Q together can do a piece of work in 20/3 days. R and S together can do the same work in 10 days. Q and R together can do the same work in 6 days. Find the number of days taken by P alone to complete the work, if S alone can do the same work in 30 days.
Which of the following should be placed in the blank spaces of the expression Quantity I__ Quantity II___Quantity III from left to right with respect to the above statements?    
>, <
<, >
>, =
>, ≥
≤, ≥
Correct Ans: <, >

6. Given below are two quantities named A and B. 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 between the possible answers.

Quantity A: 4X2 + 24X + 36 = 0

Quantity B: 5Y2 + 20Y + 20 = 0
Quantity A > Quantity B
Quantity A < Quantity B
Quantity A ≥ Quantity B
Quantity A ≤ Quantity B
Quantity A = Quantity B OR relationship cannot be determined.
Correct Ans: Quantity A < Quantity B

7. Given below are two quantities named A and B. 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 between the possible answers.

Quantity A: X2 + 34 X + 289 = 0
Quantity B: Y2 + 28 Y + 196 = 0
Quantity A > Quantity B
Quantity A < Quantity B
Quantity A ≥ Quantity B
Quantity A ≤ Quantity B
Quantity A = Quantity B OR relationship cannot be determined.
Correct Ans: Quantity A < Quantity B

8. Given below are two quantities named A and B. 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 between the possible answers.
Quantity A: x where x3 – 4x2 + 3x = 0
Quantity B: y where 7y3 – 23y2 + 6y = 0           
Quantity A > Quantity B
Quantity A < Quantity B
Quantity A ≥ Quantity B
Quantity A ≤ Quantity B
Quantity A = Quantity B OR relationship cannot be determined.
Correct Ans: Quantity A = Quantity B OR relationship cannot be determined.

9. Direction:Calculate quantity I and quantity II on the basic of the given information then compare them and answer the following questions accordingly.

A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. They get Rs. 6000 as wages for the whole work.

Quantity I: What is the sum of Rs.100 and the daily wage of B?

Quantity II: What is the daily wage of C?
Quantity I > Quantity II
Quantity I ≥ Quantity II
Quantity II > Quantity I
Quantity II ≥ Quantity I
Quantity I = Quantity II or Relation cannot be established
Correct Ans: Quantity I = Quantity II or Relation cannot be established

10. Direction: Calculate Quantity I and Quantity II on the basis of the given information then compare them and answer the following questions accordingly.

Quantity I- A takes twice as much time B or thrice as much time to finish a piece of work C. Working together, they can finish the work in 3 days, B can do the work alone in

Quantity II- 12 days
Quantity I > Quantity II
Quantity I ≥ Quantity II
Quantity II > Quantity I
Quantity II ≥ Quantity I
Quantity I = Quantity II or Relation cannot be established
Correct Ans: Quantity II > Quantity I

11. In the following question, two Quantities numbered are given. You have to solve both the Quantities and find out the relationship between Quantity I and Quantity II. Then give answer accordingly.
Quantity I : x2 + (343)(1/3) = 56
Quantity II : (y)(4/3) * (y)(5/3) – 295 = 217     
Quantity I > Quantity II
Quantity I ≥ Quantity II
Quantity II > Quantity I
Quantity II ≥ Quantity I
Quantity I = Quantity II or Relation cannot be established
Correct Ans: Quantity II > Quantity I

12. In the following question, two Quantities numbered are given. You have to solve both the Quantities and find out the relationship between Quantity I and Quantity II. Then give answer accordingly.

Quantity I: 5x2 ““ 34x + 45 = 0
Quantity II: 4y2 – 19y + 21 = 0
Quantity I > Quantity II
Quantity I ≥ Quantity II
Quantity II > Quantity I
Quantity II ≥ Quantity I
Quantity I = Quantity II or Relation cannot be established
Correct Ans: Quantity I = Quantity II or Relation cannot be established

13. In the following question, two Quantities numbered are given. You have to solve both the Quantities and find out the relationship between Quantity I and Quantity II. Then give answer accordingly.

Quantity I: Two men start together to walk a certain distance, one at 4km/hr and another at 3km/hr. The former arrives half an hour before the latter. What is the distance?

Quantity II: A man completes 30 km of a journey at 6 km/hr and the remaining 40 km of the journey in 5 hr. Find the average speed for the whole journey.
Quantity I > Quantity II
Quantity I ≥ Quantity II
Quantity II > Quantity I
Quantity II ≥ Quantity I
Quantity I = Quantity II or Relation cannot be established
Correct Ans: Quantity II > Quantity I

14. In the following question, two Quantities numbered are given. You have to solve both the Quantities and find out the relationship between Quantity I and Quantity II. Then give answer accordingly.

3x+y = 81 and 81x-y = 3

Quantity I: value of x
Quantity II: value of y
Quantity I > Quantity II
Quantity I ≥ Quantity II
Quantity II > Quantity I
Quantity II ≥ Quantity I
Quantity I = Quantity II or Relation cannot be established
Correct Ans: Quantity I > Quantity II

15. In the following question, two Quantities numbered are given. You have to solve both the Quantities and find out the relationship between Quantity I and Quantity II. Then give answer accordingly.

Quantity I : If 47a + 47b = 5452. What is the average of a and b?
Quantity II : The average of four consecutive numbers A, B, C and D is 49.5. What is the value of B?
Quantity I > Quantity II
Quantity I ≥ Quantity II
Quantity II > Quantity I
Quantity II ≥ Quantity I
Quantity I = Quantity II or Relation cannot be established
Correct Ans: Quantity I > Quantity II

16. In the following question, two quantities are given as Quantity I and Quantity II. By finding these quantities gives corresponding answer.
M can do a work in 16 days. N is 60% more efficient than M.
Quantity I: Time taken by M and N together to do the work.
Quantity II: Time taken by M and N to do the work together when M works at doubles his original efficiency and N works at half his original efficiency. 
Quantity I > Quantity II
Quantity I < Quantity II
Quantity I ≥ Quantity II
Quantity I ≤ Quantity II
Quantity I = Quantity II or No relation
Correct Ans: Quantity I > Quantity II

17. In the following question, two quantities are given as Quantity I and Quantity II. By finding these quantities gives corresponding answer.
Quantity I: The area of rectangular garden is 2080 Sq m. The length of the rectangular garden is 30 % more than the breadth. Find the perimeter of the garden?
Quantity II: The area of a square park is 2304 Sq m. Find the perimeter of the park? 
Quantity I > Quantity II
Quantity I < Quantity II
Quantity I ≥ Quantity II
Quantity I ≤ Quantity II
Quantity I = Quantity II or No relation
Correct Ans: Quantity I < Quantity II

18. In the following question, there are two equations. Solve the equations and answer accordingly.
I. x2 – 52x + 667 = 0
II. 2y2 + 20y + 50 = 0 
x > y
x ≥ y
x ≤ y
x < y
x = y or relationship cannot be determined.
Correct Ans: x > y

19. In the following question, there are two equations. Solve the equations and answer accordingly.
I. x2 – 28x + 171 = 0
II. y2 + 3y – 108 = 0 
x > y
x ≥ y
x ≤ y
x < y
x = y or relationship cannot be determined.
Correct Ans: x ≥ y

20. In the following question, there are two equations. Solve the equations and answer accordingly.
I. x2 + 29x + 208 = 0
II. y2 + 27y + 176 = 0 
x > y
x ≥ y
x ≤ y
x < y
x = y or relationship cannot be determined.
Correct Ans: x = y or relationship cannot be determined.

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