facebook

1600 CAT Questions, 300 Video Solutions and 41 Topic Wise Tests

CAT Algebra questions from Linear equations and Quadratic equations that appear in the Quantitative Aptitude section of the CAT Exam consists of concepts from Equations and Algebra. Get as much practice as you can in these two topics because the benefits of being good at framing equations can be enormous and useful in other CAT topics as well. In CAT Exam, one can generally expect to get 1~2 questions from Linear Equations and Quadratic Equations. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.

Data Interpretation

Answer the following questions based on the information given below

The table below shows the percentage marks scored by various students in six different subjects. The maximum marks in each subject are 150.

Subjects

 

Students

English

Science

History

Hindi

Geography

Maths

150

150

150

150

150

150

Amit

68

64

40

46

55

54

Bharti

54

75

50

58

65

60

Asha

50

58

70

78

60

48

Sadhana

78

50

85

64

70

72

Yogesh

70

60

65

56

75

62

Ram

64

74

78

72

65

58
Q1.

What are the total marks secured by Asha,Sadhana and Yogesh together in Geography? 

: min

Q2.

What are the total marks secured by Bharti in History,Hindi and Geography? 

: min

Q3.

What is the ratio of the marks secured by Amit in Geography and Maths? 

: min

Marks scored by Amit in geography = 150\; \times \;\frac{{55}}{{100}}\; = \;82.5

In maths = 150\; \times \;\frac{{54}}{{100}}\; = \;81

82.5 : 81 = 55 : 54

Q4.

By how much do Yogesh’s total marks differ from that of Sadhana? 

: min

Total marks by Yogesh = 150 (0.7 + 0.6 + 0.65 + 0.56 + 0.75 + 0.62)

= 150 × 3.88 = 582

Total marks of Sdhana = 150 (0.78 + 0.5 + 0.85 + 0.64 + 0.7 + 0.72)

= 150 × 4.19 = 628.5

Difference in marks = 628.5 – 582 = 46.5

Q5.

What is the average marks scored by all the student in History?

: min

Total marks scored by all the student in history = 150 (0.4 + 0.5 + 0.7 + 0.85 + 0.65 + 0.75) = 582

Average marks = \frac{{582}}{6}\; = \;97\;{\rm{marks}}

Data Interpretation

Study the following information carefully and answer the questions given below.

Manish and Dinesh annual salary are Rs 250000 and Rs 300000 respectively. Manish annual savings is 20% of his annual salary and Dinesh annual savings is 25% of his annual salary. Manish spends annually  of the remaining salary on food and Dinesh spends annually  of remaining salary on food. Manish spends annually Rs 20000 on education and Dinesh spends annually Rs 35000 on education. Manish and Dinesh spend all their remaining salary on miscellaneous.

Q6.

The difference between the total expenditure on education and food by Manish and by Dinesh is what percent of the total savings of Manish and Dinesh together?

: min

Manish savings =  × 250000 = 50000

Expenditure of Manish on food =  × (250000 – 50000) = 120000

Expenditure of Manish on Education = 20000

Expenditure of Manish on Miscellaneous = 250000 – (50000 + 120000 + 20000)

                                                           = 60000

Dinesh savings =  × 300000 = 75000

Expenditure of Dinesh on food =  × (300000 – 75000) = 90000

Expenditure of Dinesh on Education = 35000

Expenditure of Dinesh on Miscellaneous = 300000 – (75000 + 90000 + 35000)

                                                           = 100000

Total expenditure of Manish on food and education= 120000 + 20000 = 140000

Total expenditure of Dinesh on food and education = 90000 + 35000 = 125000

Difference = 140000 – 125000 = 15000

Total savings of Manish and Dinesh = 50000 + 75000 = 125000

Required percentage =  × 100 = 12%.

Q7.

If Manish spends 20% of his miscellaneous expenses on travelling and Dinesh spends 30% of his miscellaneous expenses on travelling. Find the ratio of Manish and Dinesh expenditure on travelling.

: min

Manish savings =  × 250000 = 50000

Expenditure of Manish on food =  × (250000 – 50000) = 120000

Expenditure of Manish on Education = 20000

Expenditure of Manish on Miscellaneous = 250000 – (50000 + 120000 + 20000)

                                                           = 60000

Dinesh savings =  × 300000 = 75000

Expenditure of Dinesh on food =  × (300000 – 75000) = 90000

Expenditure of Dinesh on Education = 35000

Expenditure of Dinesh on Miscellaneous = 300000 – (75000 + 90000 + 35000)

                                                      = 100000

 

Answer: B

Manish expenditure on travelling =  × 60000= 12000

Dinesh expenditure on travelling =  × 100000= 30000

Required ratio = 12000: 30000 = 2: 5

Q8.

By what approx percent Manish saves less than Dinesh?

: min

Manish savings =  × 250000 = 50000

Expenditure of Manish on food =  × (250000 – 50000) = 120000

Expenditure of Manish on Education = 20000

Expenditure of Manish on Miscellaneous = 250000 – (50000 + 120000 + 20000)

                                                           = 60000

Dinesh savings =  × 300000 = 75000

Expenditure of Dinesh on food =  × (300000 – 75000) = 90000

Expenditure of Dinesh on Education = 35000

Expenditure of Dinesh on Miscellaneous = 300000 – (75000 + 90000 + 35000)

                                                           = 100000

 

Answer: A

Required percentage=  × 100 = 33.33%.

Q9.

If Manish wants to save more by reducing his expenditure on food, education and miscellaneous by 8.33% , 10% and 16.66% respectively then his new savings is what percent of his annual salary.

: min

Manish savings =  × 250000 = 50000

Expenditure of Manish on food =  × (250000 – 50000) = 120000

Expenditure of Manish on Education = 20000

Expenditure of Manish on Miscellaneous = 250000 – (50000 + 120000 + 20000)

                                                           = 60000

Dinesh savings =  × 300000 = 75000

Expenditure of Dinesh on food =  × (300000 – 75000) = 90000

Expenditure of Dinesh on Education = 35000

Expenditure of Dinesh on Miscellaneous = 300000 – (75000 + 90000 + 35000)

                                                           = 100000

 

Answer: B

New expenditure on food = 120000 – = 110000

New expenditure on education = 20000 –   = 18000

New expenditure on miscellaneous = 60000 –  = 50000

New savings = 250000 – (110000 + 18000 + 50000) = 72000

Required percentage =  × 100 = 28.80%.

Q10.

If Dinesh pay 16.66% of his savings on LIC then find his new approx savings percentage in respect of his annual salary.

: min

Manish savings =  × 250000 = 50000

Expenditure of Manish on food =  × (250000 – 50000) = 120000

Expenditure of Manish on Education = 20000

Expenditure of Manish on Miscellaneous = 250000 – (50000 + 120000 + 20000)

                                                           = 60000

Dinesh savings =  × 300000 = 75000

Expenditure of Dinesh on food =  × (300000 – 75000) = 90000

Expenditure of Dinesh on Education = 35000

Expenditure of Dinesh on Miscellaneous = 300000 – (75000 + 90000 + 35000)

                                                           = 100000

 

Answer: A

Dinesh pay for LIC = 75000 - 75000 ×  = 62500

Required percentage =  × 100 = 20.83% = 21% approx.