CAT Linear equations & word problems Questions

Linear equations turn relationships in a word problem into expressions whose variables occur to the first power. The main task is choosing variables and translating the conditions accurately.

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Key concepts

Simultaneous equations
Consistent units
Independent and dependent conditions

CAT linear equations & word problems practice questions

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Practise Free Tests on InsideIIM

Common mistakes

Assigning different meanings to the same variable.
Writing an equation before deciding which quantity a statement describes.

Practical solving approaches

Define variables with units, then translate one condition at a time.
Use substitution or elimination and check the result against the original wording.

Linear equations & word problems FAQs

What if two equations give the same condition?: They are dependent and may not determine a unique answer. Look for another independent condition or a restriction such as positive integer values.

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CAT linear equations & word problems practice questions

Question 1Multiple choiceMEDIUM

Select the correct alternative from the given choices.

The following question is followed by three statements. Determine the statement/s that are sufficient to answer the question.

There are only two types of tickets sold for this train, first and second class and every passenger bought a direct ticket between the two cities. Rajdhani Express runs between Delhi and Mumbai. What is the revenue from the sale of second class tickets of this train?

I. The first class and second class fares between Mumbai and Delhi are in the ratio of 6 : 4. II.The number of passengers in the first and second classes is in the ratio 3 : 5. III. The total collection between the two stations in a single run is Rs.72000.

Question 2Multiple choiceHARD

Select the correct alternative from the given choices.

Answer the questions independently of each other.

The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10n, on the n^th day of 2007 (n = 1, 2, ..., 100), and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the n^th day of 2007 (n = 1, 2, ..., 365). On which date in 2007 will the prices of these two varieties of tea be equal?

Question 3Multiple choiceEASY

Who has got the second biggest sum?

Refer to the data below and answer the questions that follow.

Four people A, B, C and D have together got Rs.100 with them. A and B have got as much money as C and D put together. A has got more money than B. C has half as money as D has. A has Rs.5 more than D.

Question 4Type in the answerEASY

Type in your answer in the input box provided below the question.

Answer the questions independently of each other.

A man travels a part of his journey by taxi paying Rs.15 per km and the rest by train paying Rs.21 per km. If he travels total 450 km and pays Rs.8130, the distance travelled by rail is:

Question 5Multiple choiceEASY

Who has got the most money ?

Refer to the data below and answer the questions that follow.

Question 6Multiple choiceMEDIUM

How much does B have ?

Refer to the data below and answer the questions that follow.

Question 7Multiple choiceEASY

Who has got the second biggest sum ?

Refer to the data below and answer the questions that follow.

Question 8Multiple choiceMEDIUM

Select the correct alternative from the given choices.

Answer the questions independently of each other.

There were three brothers Sonu, Monu and Pinu. They saw a banana tree with raw bananas and decided to take the bananas after four days. But Sonu didnt have any patience. So he came on the first day, ate one banana and took 1/3rd of the remaining bananas for himself. On the second day, Monu came there, ate one banana and took 1/3rd of the remaining bananas for himself. On the third day Pinu came, ate one banana and took 1/3rd of the remaining bananas for himself. On the fourth day, all three brothers came, divided the remaining bananas in three parts and ate them. If not a single banana was cut into pieces, then initially there were how many bananas ?

Question 9Type in the answerMEDIUM

Type in your answer in the input box provided below the question.

Answer the questions independently of each other.

I built a time machine in 2003. The peculiar thing about the time machine was that it had a range of twenty years into the future and 30 years into the past. I used the machine and went back 15 years. After spending a year in the past, I again used it and went 10 years into the future. There I spent around two years and finally went to the future by 6 years. In which year did I land up?

Question 10Type in the answerMEDIUM

Type in your answer in the input box provided below the question.

A mango trader sells half of his opening stock everyday and of the remaining stock, he contributes 100 to charity everyday. After sales on the third day, he finds that he has exactly 100 mangoes left for charity. If in these three days he did not add any new stock, then what quantity did he start with?

Question 11Multiple choiceMEDIUM

Select the correct alternative from the given choices.

In Kaziranga national park, the residents are either Hippopotamus or Peacocks. When the heads are counted, it comes out to be 96 and when the legs are counted it is 336 in number. Find the number of peacocks in the park

CAT Linear equations & word problems Questions

Linear equations turn relationships in a word problem into expressions whose variables occur to the first power. The main task is choosing variables and translating the conditions accurately.

Loading question count…

Key concepts

Simultaneous equations
Consistent units
Independent and dependent conditions

CAT linear equations & word problems practice questions

Loading questions…

Practise Free Tests on InsideIIM

Common mistakes

Assigning different meanings to the same variable.
Writing an equation before deciding which quantity a statement describes.

Practical solving approaches

Define variables with units, then translate one condition at a time.
Use substitution or elimination and check the result against the original wording.

Linear equations & word problems FAQs

What if two equations give the same condition?: They are dependent and may not determine a unique answer. Look for another independent condition or a restriction such as positive integer values.

Loading practice data…

CAT linear equations & word problems practice questions

Question 1Multiple choiceMEDIUM

Select the correct alternative from the given choices.

The following question is followed by three statements. Determine the statement/s that are sufficient to answer the question.

Question 2Multiple choiceHARD

Select the correct alternative from the given choices.

Answer the questions independently of each other.

Question 3Multiple choiceEASY

Who has got the second biggest sum?

Refer to the data below and answer the questions that follow.

Question 4Type in the answerEASY

Type in your answer in the input box provided below the question.

Answer the questions independently of each other.

A man travels a part of his journey by taxi paying Rs.15 per km and the rest by train paying Rs.21 per km. If he travels total 450 km and pays Rs.8130, the distance travelled by rail is:

Question 5Multiple choiceEASY

Who has got the most money ?

Refer to the data below and answer the questions that follow.

Question 6Multiple choiceMEDIUM

How much does B have ?

Refer to the data below and answer the questions that follow.

Question 7Multiple choiceEASY

Who has got the second biggest sum ?

Refer to the data below and answer the questions that follow.

Question 8Multiple choiceMEDIUM

Select the correct alternative from the given choices.

Answer the questions independently of each other.

Question 9Type in the answerMEDIUM

Type in your answer in the input box provided below the question.

Answer the questions independently of each other.

Question 10Type in the answerMEDIUM

Type in your answer in the input box provided below the question.

Question 11Multiple choiceMEDIUM

Select the correct alternative from the given choices.

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CAT Linear equations & word problems Questions

Key concepts

CAT linear equations & word problems practice questions

Common mistakes

Practical solving approaches

Linear equations & word problems FAQs

CAT Linear equations & word problems Questions

Key concepts

CAT linear equations & word problems practice questions

Common mistakes

Practical solving approaches

Linear equations & word problems FAQs

More Algebra practice

CAT Linear equations & word problems Questions

Key concepts

CAT linear equations & word problems practice questions

Common mistakes

Practical solving approaches

Linear equations & word problems FAQs

CAT Linear equations & word problems Questions

Key concepts

CAT linear equations & word problems practice questions

Common mistakes

Practical solving approaches

Linear equations & word problems FAQs

More Algebra practice