Quantitative Aptitude

Data Interpretation

290 Questions
All Percentage & Fraction Conversion 77 Sum, Difference & Average 76 Ratio Comparison 37 Pie Chart Angle Mapping 33 Missing Data Derivation 27 Commercial Arithmetic Application 19 Direct Value Extraction 10 Trend & Growth Analysis 9 Compound DI Cross-Referencing 1 Permutations & Arrangements 1

Data Interpretation Questions

Multiple choice

The total exports and revenues from the exports of a country are given in the two charts shown below. The pie chart for exports shows the quantity of each item exported as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage of the total revenue generated through export of each item. The total quantity of exports of all the items is 500 thousand tonnes and the total revenues are 250 crore rupees. Which item among the following has generated the maximum revenue per kg?

  1. Item 2

  2. Item 3

  3. Item 6

  4. Item 5
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Correct option is (4).

Multiple choice
     
Item Name VAT Quantity Rate
Amul Milk Exempt 50 15
Drawing Books 5% 80 50
Exercise Books 12.5% 40 25

Calculate total Input VAT when the goods given in the table are purchased.

  1. Rs. 320

  2. Rs. 330

  3. Rs. 325

  4. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

It is Rs 325

No Vat is charged on Amul Milk
                            
Input Vat on Drawing Books - Qty X Rate - 80 X 50 = Rs 4,000 X 5 / 100 = Rs 200
 
Input Vat on Exercise Books - Qty X Rate - 40 X 25 = Rs 1,000 X 12.5 / 100 = Rs 125
 
So Total Input Vat = Rs 200 + Rs 125 = Rs 325

Multiple choice maths measures of dispersion mean of grouped data : step deviation method step deviation method of finding mean step deviation method

Following table gives frequency distribution of trees planted by different housing societies in a particular locality.
Find mean number of trees planted by housing society by using 'step deviation method'.

No. of tress 10 - 15 15 - 20 20 - 25 25 - 30 30 - 35 35 - 40
No. of Societies 2 7 9 8 6 4
  1. $25.42$ trees
  2. $27.42$ trees
  3. $29.42$ trees
  4. $31.42$ trees
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Consider the following table, to calculate mean by "step deviation method":

$x _i$=mid value of class interval
Assumed mean $a=27.5$
class interval $c=5$

 $ci$  $f _i$  $x _i$  $d _i=\dfrac{x _i-a}{c}$ $f _id _i$
 10-15 2   12.5  $\dfrac{12.5-27.5}{5}=$-3  -6
 15-20 7  17.5  -2  -14
 20-25 9   22.5  -1  -9
 25-30 8  27.5  0  0
 30-35 6   32.5  1  6
 35-40 4   37.5  2  8
 $N=\Sigma f _i=36$          
 $\Sigma f _id _i=-15$

Mean $\overline x=a +\dfrac {\Sigma f _id _i}{N}\times c$

$\therefore \overline x=27.5 + \dfrac{-15}{36} \times 5=25.42$

Hence, option $A$ is corect.

Multiple choice introduction to ratio and percentages comparing quantities maths

The given table shows the prices of 3 different types of eggs $\displaystyle \frac{1}{4}$ of the eggs Priyanka bought were chicken eggs $\displaystyle \frac{1}{8}$ of them were century eggs and the rest were quail eggs If Priyanka spent a total amount of Rs. 6.50 on the chicken and century eggs how much did she spent on the quail eggs? 

Chicken eggs 20 paise each
Century eggs 90 paise each
Quail eggs 5 paise each

  1. Rs. 1.25

  2. Rs. 1.40

  3. Rs. 1.65

  4. Rs. 1.80
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the total number of eggs=x.

So, number of chicken eggs= (1/4)*x
number of century eggs= (1/8)*x

number of quail eggs= total-(chicken eggs+century eggs)
$\begin{array}{c}x - \left( {\dfrac{1}{4}x + \dfrac{1}{8}x} \right) = x - \left( {\dfrac{3}{8}x} \right)\\ = \dfrac{5}{8}x\end{array}$
Cost of 1 chicken egg=20 paise
Cost of (1/4)*x chicken eggs= $\dfrac{1}{4} \times x \times 20 = 5x$
Cost of 1 century egg=90 paise
Cost of (1/8)*x chicken eggs= $\dfrac{1}{8} \times x \times 90 = 11.25x$
Cost of 1 quail egg=5 paise
Cost of (5/8)*x chicken eggs= $\dfrac{5}{8} \times x \times 5= 3.125x$

The total cost of chicken and century eggs=5x+11.25x
=16.25x

As for the cost of chicken and century eggs=Rs 6.5
So,
16.25x=6.5
x=0.4

Cost of quail eggs=3.125*x
=3.125*0.4
=1.25

Thus Option A


Multiple choice maths percentages finding one number as percentage of another money and metric measures as percentage expressing one quantity as a percentage of another

The % of total quantity represented by a $60^{circ}$ sector in a pie diagram is 

  1. $6 \displaystyle \frac{1}{4}$ %
  2. $16\, \displaystyle \frac{2}{3}$ %
  3. $11\, \displaystyle \frac{1}{9}$ %

  4. None
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$\displaystyle \frac{x}{100}\, \times\, 360\, =\, 60^{\circ}$


$x\, =\, 60\, \times\, \displaystyle \frac{100}{360}\, =\, \displaystyle \frac{100}{6}\, =\, 16\, \displaystyle \frac{2}{3}$ %

Multiple choice maths measures of central tendency assumed mean method assumed mean method of finding mean mean and median

Following table gives frequency distribution of milk (in litres) given per week by 50 cows.
Find average (mean) amount of milk given by a cow by 'shift of origin method'.

Milk (in litres) 24 - 30 30 - 36 36 - 42 42 - 48 48 - 54 54 - 60 60 - 66 66 - 72  72 - 78 78 - 84 84 - 90
No. of cows 1 3 8 5 5 5 8 4 6 2 3
  1. $51.12$ litres
  2. $54.12$ litres
  3. $57.12$ litres
  4. $60.12$ litres
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Consider the following table, to calculate mean by "shift of origin method":

$x _i$=mid value of class interval
Assumed mean $a=57$

 $ci$  $f _i$  $x _i$ $d _i=x _i-a$  $f _id _i$
24-30  1 27  27-57= -30  -30
30-36  3 33  33-57= -24  -72
36-42  8 39  39-57= -18  -144
42-48   5 45   45-57= -12  -60
48-54   5 51  51-57= -6  -30
54-60   5 57  57-57=0  0
60-66   8 63   63-57=6   48
66-72   4 69  69-57=12  48
72-78   6 75   75-57=18  108
78-84  2 81   81-57=24  48
84-90 3  87   87-57=30  90
 $N=\Sigma f _i=50$          
 $\Sigma f _id _i=6$

Mean $\overline x=a +\dfrac {\Sigma f _id _i}{N}$
$\therefore \overline x=57 + \dfrac{6}{50}=57.12$

Average amount of milk given by cow is $ 57.12$ litres
Hence, option $C$ is correct.

Multiple choice business maths commission,brokerage and discount commission and rebate commission deductions from earnings

At an electronics store Sara earns a 5% commission on her sales The table here shows her sales for four weeks What was Sara's total commission for these four weeks?
                               Sara's Sales 

Week      1      2     3     4
Sales Rs.1920 Rs.1680 Rs.3360 Rs.2640

  1. Rs 12

  2. Rs 40

  3. Rs 120

  4. Rs 480
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total sales for 4 weeks  $ = 1920+1680+3360+2640 = Rs.9600$

The commission that sara earns $ = \frac { 5 }{ 100 } (9600)= 480$

Multiple choice business maths linear programming problems structure of linear programming model linear programming problem operations research

The given table shows the number of cars manufactured in four different colours on a particular day. Study it carefully and answer the question.

 Colour    Number of cars manufactured
 Vento  Creta
 Red  65
 White  54
 Black  66
 Sliver 37

What was the total number of black cars manufactured?

  1. $240$
  2. $206$
  3. $205$
  4. $159$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The number of Black cars manufactured 


$=$ no. of black $Vento$ +no. of black $Creta$ +no. of black $WagonR$ 

$=66+52+88 =206$          

Multiple choice political science problem of unemployment in india introduction and features of unemployment quality of population unemployment- types, causes and measures

The following table provides a breakup of a country's population (in Crores):

Children below the working age 18
Unemployed People looking for a job 9
Full-time Students (not looking for a job) 2
Retired People 14
Employed People 64
People confined to correctional institutions 1
Other Adults not in the labour force 7
Total Population 114

Based on the information in the Table,the Country's Unemployment Rate is -

  1. 7.0%

  2. 12.5%

  3. 20.2%

  4. 22.2%
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice political science problem of unemployment in india introduction and features of unemployment quality of population unemployment- types, causes and measures

The following table provides a breakdown of a country's population (millions) :

Total population 114 Children (below the working age) 18
Unemployed people looking for a job 9 Full-time students (not looking for a job) 2
Retired people 14 Employed people 63
People confined to correctional 1 Other adults not in the labour force 7


What is the unemployment rate of the given population?

  1. $7.9\%$
  2. $12.5\%$
  3. $20.2\%$
  4. $22.2\%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Labour Force =$114 - 14 - 1 - 18 - 2 - 7 = 72$
Employed people = $63$
Unemployed people = $72 - 63 = 9$

Unemployment rate = $\frac{9 \times 100}{72} = 12.5\%$

Multiple choice maths average arithmetic mean of ap introduction to averages means

For a certain frequency table which has been partly reproduced here, the arithmetic mean was found to be Rs.28.07

Income (in Rs.) 15 20 25 30 35 40
Number of workers 8 12 ? 16 3 10

If he total number of workers is 75, then the missing frequencies are?

  1. 14, 15

  2. 15, 14

  3. 13, 16

  4. 12, 17
Reveal answer Fill a bubble to check yourself
D Correct answer