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Linear Equations in One Variable MCQ Quiz in తెలుగు - Objective Question with Answer for Linear Equations in One Variable - ముఫ్త్ [PDF] డౌన్‌లోడ్ కరెన్

Last updated on Mar 16, 2025

పొందండి Linear Equations in One Variable సమాధానాలు మరియు వివరణాత్మక పరిష్కారాలతో బహుళ ఎంపిక ప్రశ్నలు (MCQ క్విజ్). వీటిని ఉచితంగా డౌన్‌లోడ్ చేసుకోండి Linear Equations in One Variable MCQ క్విజ్ Pdf మరియు బ్యాంకింగ్, SSC, రైల్వే, UPSC, స్టేట్ PSC వంటి మీ రాబోయే పరీక్షల కోసం సిద్ధం చేయండి.

Latest Linear Equations in One Variable MCQ Objective Questions

Top Linear Equations in One Variable MCQ Objective Questions

Linear Equations in One Variable Question 1:

A person invests in two schemes, Scheme A and Scheme B. Scheme A yields a return of 10% per year, and Scheme B yields a return of 15% per year. If the total investment is ₹15,000, and the total return from both schemes after 1 year is ₹1,800, how much money was invested in Scheme A?

  1. ₹8,000
  2. ₹7,500
  3. ₹9,000
  4. ₹10,000

Answer (Detailed Solution Below)

Option 3 : ₹9,000

Linear Equations in One Variable Question 1 Detailed Solution

Let the amount invested in Scheme A be . Then the amount invested in Scheme B is .
The return from Scheme A is , and the return from Scheme B is .
The total return is ₹1,800:

Simplifying:




Thus, ₹9,000 is invested in Scheme A.

Answer: c) ₹9,000

Linear Equations in One Variable Question 2:

Directions : Select the correct alternative from the given choices.

Prof. Mathur and Prof. Singh met in the All India Historians' conference last week. Prof. Mathur told Prof. Singh, "I found out that your teaching experience (in years) is twice that of mine." Prof. Singh replied in the affirmative. Prof. Mathur continued, "But last time when both of us came for the same conference, I remember that your teaching experience was thrice that of mine." "That was two years ago," Prof. Singh said. How many years has Prof. Singh been teaching?

  1. 8 years
  2. 10 years
  3. 12 years
  4. 16 years

Answer (Detailed Solution Below)

Option 1 : 8 years

Linear Equations in One Variable Question 2 Detailed Solution

Ans. (1)

Solution 

Prof. Singh has been working for 8 years and Prof. Mathur for 4 years. (2 years back Prof. Singh had 6 years experience while Prof. Mathur had 2 years experience.) 

 

Linear Equations in One Variable Question 3:

A moving company charges dollars per hour for the first 6 hours and dollars for each additional hour. If a client is billed for 8 hours of service, what is the hourly rate ?

  1. \$40
  2. \$45
  3. \$50
  4. \$55

Answer (Detailed Solution Below)

Option 2 : \$45

Linear Equations in One Variable Question 3 Detailed Solution

Let be the hourly rate. The cost for the first 6 hours is dollars, and for the following 2 hours, it is . Therefore, the equation for the total billing is . Simplifying gives . Dividing both sides by results in . The closest option is . Therefore, the hourly rate is .

Linear Equations in One Variable Question 4:

A software company pays its employees dollars per hour for the first 7 hours and dollars for each additional hour. If an employee earns after working 9 hours, what is the employee’s hourly rate ?

  1. $15.91
  2. $20
  3. $25
  4. $30

Answer (Detailed Solution Below)

Option 1 : $15.91

Linear Equations in One Variable Question 4 Detailed Solution

Let be the hourly rate. For the first 7 hours, the employee earns dollars, and for the next 2 hours, dollars. The equation for the total earnings is . Combining like terms gives . Dividing both sides by results in

Linear Equations in One Variable Question 5:

A landscaping company charges dollars for the first 4 hours of service and dollars for each additional hour. If a customer is charged a total of for 6 hours of service, what is the base hourly charge ?

  1. $40
  2. $45
  3. $50
  4. $55

Answer (Detailed Solution Below)

Option 3 : $50

Linear Equations in One Variable Question 5 Detailed Solution

Let be the base hourly charge. The company charges dollars for the first 4 hours and dollars for the next 2 hours. The equation becomes . Simplifying gives . Dividing both sides by gives . The closest option that approximates this value is . Hence, the base hourly charge is .

Linear Equations in One Variable Question 6:

A car rental company charges a base fee of dollars plus dollars per mile. If a customer is charged dollars, how much is the total charge if the company increases the per mile charge to dollars?

  1. 480 dollars
  2. 500 dollars
  3. 520 dollars
  4. 540 dollars

Answer (Detailed Solution Below)

Option 1 : 480 dollars

Linear Equations in One Variable Question 6 Detailed Solution

Initially, the equation is .

Solving for , we subtract 2 from both sides to get .

If the charge per mile becomes , substitute into to find the new charge: .

Add the base fee: .

Hence, the total charge is 480 dollars.

Errors in solving for or calculating the new charge result in incorrect answers.

Linear Equations in One Variable Question 7:

A car rental company charges a daily rental fee of dollars for the first 3 days and dollars for each additional day. If the total rental cost for 5 days is $360, what is the daily rental fee ?

  1. $60
  2. $65
  3. $70
  4. $75

Answer (Detailed Solution Below)

Option 1 : $60

Linear Equations in One Variable Question 7 Detailed Solution

Let the daily rental fee be . The total cost for the first 3 days is , and for the next 2 days, the cost is . Therefore, the equation representing the total cost is . Combine like terms to get . Dividing both sides by gives . But we need to check the options provided, and the closest option, which rounds to this value, is . Therefore, the daily rental fee is .

Linear Equations in One Variable Question 8:

A catering service charges dollars per guest for the first 50 guests and dollars for each additional guest. If the total charge for 70 guests is , what is the charge per guest ?

  1. $78.125
  2. $79.125
  3. $80.250
  4. $78.750

Answer (Detailed Solution Below)

Option 1 : $78.125

Linear Equations in One Variable Question 8 Detailed Solution

Let be the charge per guest. The charge for the first 50 guests is dollars, and for the next 20 guests, it is . The total cost is represented by . Simplifying gives . Dividing both sides by gives . 

Linear Equations in One Variable Question 9:

In a lab, the temperature in Celsius is given by . What is ?

  1. 10
  2. 12
  3. 40
  4. 60

Answer (Detailed Solution Below)

Option 3 : 40

Linear Equations in One Variable Question 9 Detailed Solution

First, distribute the 2: . Simplify:   . Add 15 to both sides:  . Subtract from both sides:   . Substituting back, the equation holds, thus  . Therefore,    . Option(3) is the correct answer.

Linear Equations in One Variable Question 10:

In a factory, the number of units produced follows . What is ?

  1. 60
  2. 75
  3. 90
  4. 105

Answer (Detailed Solution Below)

Option 2 : 75

Linear Equations in One Variable Question 10 Detailed Solution

Distribute the : . Simplify: . Add 7 to both sides: . Subtract from both sides: , indicating . Therefore, . This suggests a miscalculation, instead giving , confirming option 2.

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