DATA INTERPRETATION QUESTION BANK
EXERCISE 1
Directions for Qs. 1 to 2: Refer to the following data and answer the following questions.
A
B
C
D
E
F
G
H
I
Each of the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 is represented by a different letter in the figure.
A

15. TIME AND WORK
IIMPORTANT FACTS AND FORMULAE
1. If A can do a piece of work in n days, then A's 1 day's work = (1/n).
2. If As 1 day's work = (1/n),then A can finish the work in n days.
3. A is thrice as good a workman as B, then:
Ratio of work done by

16. PIPES AND CISTERNS
IMPORTANT FACTS AND FORMULAE
1. Inlet: A pipe connected with a tank or a cistern or a reservoir, that fills it, is known as an
inlet.
Outlet: A pipe connected with a tank or a cistern or a reservoir, emptying it, is
known as an outl

17. TIME AND DISTANCE
IMPORTANT FACTS AND FORMULAE
1. Speed =
Distance
Distance
Time
, Time=
Speed
, Distance = (Speed * Time)
2. x km / hr = x * 5
18
3. x m/sec = (x * 18/5) km /hr
4. If the ratio of the speeds of A and B is a:b , then the ratio of the t

18. PROBLEMS ON TRAINS
IMPORTANT FACTS AND FORMULAE
1. a km/hr= (a* 5/18) m/s.
2. a m / s = (a*18/5) km/hr.
3 Time taken by a train of length 1 metres to pass a pole or a standing man or a
signal post is equal to the time taken by the train to cover 1 met

19.BOATS AND STREAMS
IMPORTANT FACTS AND FORMULAE
1.In water ,the direction along the stream is called downstream and ,the direction against
the stream is called upstream.
2.If the speed of a boat in still water is u km/hr and the speed of the stream is v

20. ALLIGATION OR MIXTURE
IMPORTANT FACTS AND FORMULAE
1. Alligation: It is the rule that enables us to find the ratio in which two or more ingredients at
the given price must be mixed to produce a mixture of a desired price.
2. Mean Price: The cost price

21. SIMPLE INTEREST
IMPORTANT FACTS AND FORMULAE
1. Principal: The money borrowed or lent out for a certain period is called the
principal or the sum.
2. Interest: Extra money paid for using other's money is called interest.
3. Simple Interest (S.I.) : If

22.COMPOUND INTEREST
Compound Interest: Sometimes it so happens that the borrower and the lender agree to
fix up a certain unit of time, say yearly or half-yearly or quarterly to settle the previous
account.
In such cases, the amount after first unit of t

14. CHAIN RULE
_IMPORTANT FACTS AND FORMULAE
1. Direct Proportion: Two quantities are said to be directly proportional, if on the increase (or
decrease) of the one, the other increases (or decreases) to the same
Ex. 1. Cost is directly proportional to the

13. PARTNERSHIP
!IMPORTANT FACTS AND FORMULAE I
1. Partnership: When two or more than two persons run a business jointly, they are
called partners and the deal is known as partnership.
2. Ratio of Division of Gains:
i) When investments of all the partners

SQUARE ROOTS AND CUBE ROOTS
IMPORTANT FACTS AND FORMULAE
Square Root: If x2 = y, we say that the square root of y is x and we write, y = x.
Thus, 4 = 2, 9 = 3, 196 = 14.
Cube Root: The cube root of a given number x is the number whose cube is x. We
denote

6.AVERAGE
Ex.1:Find the average of all prime numbers between 30 and 50?
Sol: there are five prime numbers between 30 and 50.
They are 31,37,41,43 and 47.
Therefore the required average=(31+37+41+43+47)/5 199/5 39.8.
Ex.2. find the average of first 40 natu

7. PROBLEMS ON NUMBERS
In this section, questions involving a set of numbers are put in the form of a puzzle. You
have to analyze the given conditions, assume the unknown numbers and form equations
accordingly, which on solving yield the unknown numbers.

8. PROBLEMS ON AGES
Ex. 1. Rajeev's age after 15 years will be 5 times his age 5 years back. What is the
present age of Rajeev ?
(Hotel Management,2002)
Sol. Let Rajeev's present age be x years. Then,
Rajeev's age after 15 years = (x + 15) years.
Rajeev's

9. SURDS AND INDICES
I IMPORTANT FACTS AND FORMULAE I
1. LAWS OF INDICES:
(i)
am x an = am + n
(ii) am / an = am-n
(iii)
(am)n = amn
(iv)
(ab)n = anbn
(v) ( a/ b )n = ( an / bn )
(vi)
a0 = 1
2. SURDS: Let a be a rational number and n be a positive integer

10.PERCENTAGE
IMPORTANT FACTS AND FORMULAE
1.
Concept of Percentage : By a certain percent ,we mean that many hundredths. Thus
x percent means x hundredths, written as x%.
To express x% as a fraction : We have , x% = x/100.
Thus, 20% =20/100 =1/5; 48% =48

11. PROFIT AND LOSS
IMPORTANT FACTS
COST
PRICE:
THE
PRICE
AT
PURCHASED.ABBREVATED AS C.P.
WHICH
ARTICLE
IS
SELLING PRICE: THE PRICE AT WHICH ARTICLE IS SOLD.
PROFIT OR GAIN:IF SP IS GREATER THAN CP,THE SELLING PRICE
IS SAID TO HAVE PROFIT OR GAIN.
LOSS: I

12. RATIO AND PROPORTION
IMPORTANT FACTS AND FORMULAE
I. RATIO: The ratio of two quantities a and b in the same units, is the fraction a/b and we
write it as a:b.
In the ratio a:b, we call a as the first term or antecedent and b, the second term or
conseq

23. LOGARITHMS
IMPORTANT FACTS AND FORMULAE
I.
Logarithm: If a is a positive real number, other than 1 and am = X, then we write:
m = loga x and we say that the value of log x to the base a is m.
Example:
(i) 103 = 1000 => log10 1000 = 3
(ii) 2-3 = 1/8 =>

24 .AREA
FUNDEMENTAL CONCEPTS
I.RESULTS ON TRIANGLES:
1.Sum of the angles of a triangle is 180 degrees.
2.Sum of any two sides of a triangle is greater than the third side.
3.Pythagoras theorem:
In a right angle triangle,
(Hypotenuse)^2 = (base)^2 + (Heig

36. TABULATION
This section comprises of questions in which certain data regarding common
disciplines as production over a period of a few years: imports, exports,
incomes of employees in a factory, students applying for and qualifying a
certain field of

37.BAR GRAPHS
-this section comprises of questions in which the data collected in a
particular discipline are represented in the form of vertical or horizontal
bars drawn by selecting a particular scale.one of the parameters is plotted
on the horizontal a

38. PIE-CHARTS
IMPORTANT FACTS AND FORMULAE
The pie-chart or a pie-graph is a method of representing a given numerical data in the form of
sectors of a circle.
The sectors of the circle are constructed in such a way that the area of each sector is proport

39.LINE-GRAPHS
This section comprises of question in which the data collected in a particular discipline
are represented by specific points together by straight lines. The points are plotted on a twodimensional plane taking one parameter on the horizontal

BM-HR
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Ch vui lng in y cc thng tin vo ch trng di y chng ti c th nm r thng tin Anh/Chi.
Chc danh d tuyn: k s Qun l d n
Chc danh khc: iu phi vin Qun l d n
Mc

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