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All questions of Data Interpretation for CLAT Exam

Study the following line graph and answer the questions.
Exports from Three Companies Over the Years (in Rs. crore)
Q.
In how many of the given years, were the exports from Company Z more than the average annual exports over the given   years?
  • a)
    2         
  • b)
    3       
  • c)
    4       
  • d)
    5
Correct answer is option 'C'. Can you explain this answer?

Faizan Khan answered
Average annual exports of Company Z during the given period
= 1/7 x (60 + 90 + 120 + 90 + 60 + 80 + 100)
= Rs. ( 600 /7)crores
= Rs. 85.71 crores.
From the analysis of graph the exports of Company Z are more than the average annual exports of Company Z (i.e., Rs. 85.71 crores) during the years 1994, 1995, 1996 and 1999, i.e., during 4 of the given years.

The following line graph gives the percent profit earned by two Companies X and Y during the period 1996 - 2001.
 
Percentage profit earned by Two Companies X and Y over the Given Years
Q.
If the incomes of two Companies were equal in 1999, then what was the ratio of expenditure of Company X to that of Company Y in 1999 ?
  • a)
    6:5         
  • b)
    5:6       
  • c)
    11:6     
  • d)
    16:15
Correct answer is option 'D'. Can you explain this answer?

Anaya Patel answered
The correct answer is D 
In 1999 , profit % of X = 50
profit% of Y = 60
Also , let their income in 1999 be i each and expenditure of X be x and that of Y be y.
For X ,
50 = (i - x)*100/x
1/2 = (i - x)/x
x/2 = i - x
i = 3x/2 (eq1)
For Y ,
60 = (i - y)*100/y
3/5 = (i - y)/y
3y/5 = i - y
i = 8y/5(eq 2)
Equating eq 1and 2 , we get
3x/2 = 8y/5
x/y = 16/15
x : y = 16:15

The following line graph gives the percent profit earned by two Companies X and Y during the period 1996 - 2001.
Percentage profit earned by Two Companies X and Y over the Given Years
Q.
The incomes of two Companies X and Y in 2000 were in the ratio of 3:4 respectively. What was the respective ratio of their   expenditures in 2000?
  • a)
    7:22       
  • b)
    14:19     
  • c)
    15:22     
  • d)
    27:35
Correct answer is option 'C'. Can you explain this answer?

Dia Mehta answered
The correct answer is C 
Let the incomes in 2000 of Companies X and Y be 3x and 4x respectively.
And let the expenditures in 2000 of Companies X and Y be E1 and E2 respectively.
Then, for Company X we have:
65 =[( 3x - E1 )/E1]×100 =>65/100 = (3x/E1) - 1 
=> E1 = 3x×( 100/165 ) .... (i)
For Company Y we have:
50 = [(4x - E2 )/E2]x 100 =>50/100= (4x/E1) - 1 => E2 = 4x×( 100/150 ) .... (ii)
From (i) and (ii), we get:
E1/E2=[3x ×(100/165)]/[4x×(100/150)]
E1/E2=15/22 (required ratio)

Study the following graph carefully and answer the following questions given below.
What is the difference between the average amount invested in Savings schemes A, B, D and E by Vikram and the average amount invested in Savings schemes B, C, E and F by Deepa?
  • a)
    2540
  • b)
    2760
  • c)
    2560
  • d)
    2320
  • e)
    2380
Correct answer is option 'E'. Can you explain this answer?

Aisha Gupta answered
Average amount invested in schemes A, B, D and E by Vikram = (43680 + 43200 + 18000 + 25600)/4 = 90240/4 = 32620
Average amount invested in schemes B, C, E and F by Deepa = (28800 + 19200 + 38400 + 34560)/4 = 119680/4 = 30240
Difference = 32620 – 30240 = 2380

Study the following graph carefully to answer the given questions
Q and S work together for 5 days, the rest of the work is finished by M in two more days. If they get Rs. 6000 as wages for the whole work, what are the daily wages of Q, S and M respectively?
  • a)
    200, 250, 300
  • b)
    300, 200, 250
  • c)
    600, 400, 200
  • d)
    600, 400, 500
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Preeti Khanna answered
Explanation:
Q’s 5 days work = 50%
S’s 5 days work = 33.33%
M’s 2 days work = 16.66% [100- (50+33.33)] Ratio of work of Q, S and M = 3: 2: 1
Q’s total share = Rs. 3000
S’s total share = Rs. 2000
M’s total share = Rs. 1000
Q’s one day’s wage = Rs.600
S’s one day’s wage = Rs.400
M’s one day’s wage = Rs.500

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