Free online Quantitative aptitude, Data interpretation questions and answers for all those Freshers who are preparing for different exams or recruitment tests.

## Data Interpretation Topics

##### 1. Problems on Average:

1) What is the average of first five multiples of 12? (Problems on average)

1. 36
2. 38
3. 40
4. 42

2) Average of five numbers is 20. If each number is multiplied by 2, what will be the new average?

1. 30
2. 40
3. 50
4. 60

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##### 2. Problems on Number:

1) What is the difference in the place value of 5 in the numeral 754853?

1. 49500
2. 49950
3. 45000
4. 49940

2) What should be added to 1459 so that it is exactly divisible by 12?

1. 4
2. 3
3. 5
4. 6

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##### 3. Problems on Compound Interest:

1) What is the compound interest on Rs. 2500 for 2 years at rate of interest 4% per annum?

1. Rs. 180
2. Rs. 204
3. Rs. 210
4. Rs. 220

2) What is the amount for a sum of money Rs.7500 at 6% rate of interest C.I. for 2 years?

1. Rs. 8427
2. Rs. 8417
3. Rs. 8400
4. Rs. 8390

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##### 4. Problems on Partnership:

1) Sohan started a business with a capital of Rs. 80000. After 6 months Mohan joined as a partner by investing Rs. 65000. After one year they earned total profit Rs. 20000. What is share of Sohan in the profit?

1. Rs. 5222.2
2. Rs. 14222.2
3. Rs. 6222.2
4. Rs. 6777.7

2) A, B and C are partners. They have invested Rs.35000, Rs. 25000 and 10,000 respectively for the same period. If the total profit is Rs. 18000, find the share of A.

1. Rs. 9000
2. Rs. 9500
3. Rs. 8000
4. Rs. 8500

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##### 5. Problems on Ages:

1) A mother is twice as old as her son. If 20 years ago, the age of the mother was 10 times the age of the son, what is the present age of the mother?

1. 38 years
2. 40 years
3. 43 years
4. 45 years

2) Four years ago a man was 6 times as old as his son. After 16 years he will be twice as old as his son. What is the present age of man and his son?

1. 34, 9
2. 33, 7
3. 35, 5
4. 36, 6

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##### 6. Problems on Calender:

1) If January 1, 1996, was Monday, what day of the week was January 1, 1997?

1. Thursday
2. Wednesday
3. Friday
4. Sunday

2) The first republic day of India was celebrated on January 26, 1950. What day of the week was it?

1. Wednesday
2. Friday
3. Thursday
4. Tuesday

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##### 7. Problems on Boats and Streams:

1) The speed of a boat in still water is 5km/hr. If the speed of the boat against the stream is 3 km/hr, what is the speed of the stream?

1. 1.5 km/hr
2. 2 km/hr
3. 2.5 km/hr
4. 1 km/hr

2) A man rows downstream at 20 km/hr and rows upstream at 15 km/hr. At what speed he can row in still water?

1. 17.5 km/hr
2. 18 km/hr
3. 20.5 km/hr
4. 22 km/hr

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##### 8. Problems on Clocks:

1) How many times the hands of a clock coincide in a day?

1. 24
2. 22
3. 23
4. 21

2) At what time between 3 and 4, the hands of a clock are straight and point in opposite directions?

1. 42min. past 3
2. 45min. past 3
3. 49min. past 3
4. 51min. past 3

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##### 9. Problems on Height and Distance:

1) Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse observed from the ships are 30° and 45° respectively. If the lighthouse is 100m high, find the distance between the two ships.

1. 155.80 m
2. 157.80 m
3. 159. 80 m
4. 161.80 m

2) A ladder is leaning against a wall. It makes a 60° angle with the wall. If the distance between foot of ladder and wall is 5.5 meters, find the length of the ladder.

1. 9.5m
2. 10m
3. 10.5m
4. 11m

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##### 10. Problems on Percentage:

1) 40 % of 280 =?

1. 112
2. 116
3. 115
4. 120

2) Whose 35% is 280?

1. 700
2. 750
3. 800
4. 850

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##### 11. Problems on Pipes and Cisterns:

1) A pipe can fill a tank in 6 hours and another pipe can empty the tank in 12 hours. If both the pipes are opened at the same time, the tank can be filled in

1. 10 hours
2. 12 hours
3. 14 hours
4. 16 hours

2) Three pipes A, B and C can fill a cistern in 8 minutes,12 minutes and 16 minutes respectively. What is the time taken by three pipes to fill the cistern when they are opened together?

1. 3.7 minutes
2. 4 minutes
3. 4.5 minutes
4. 5 minutes

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##### 12. Problems on Profit and Loss:

1) A shopkeeper sold an article for Rs. 2500. If the cost price of the article is 2000, find the profit percent.

1. 23%
2. 25%
3. 27%
4. 29%

2) A man purchases a TV for Rs. 8000 and sells it at 10% loss. What is the selling price of T.V?

1. Rs.7200
2. Rs.7000
3. Rs.6900
4. Rs.6500

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##### 13. Problems on Speed and Distance:

1) A running man crosses a bridge of length 500 meters in 4 minutes. At what speed he is running?

1. 8.5 km/hr
2. 7.5 km/hr
3. 9.5 km/hr
4. 6.5 km/hr

2) A car running at a speed of 140 km/hr reached its destination in 2 hours. If the car wants to reach at its destination in 1 hour, at what speed it needs to travel?

1. 300 km/hr
2. 280 km/hr
3. 250 km/hr
4. 240 km/hr

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##### 14. Problems on Simple Interest:

1) If Suresh borrows Rs. 36000 from Mahesh at rate of interest 6% S.I, at the end of four years how much interest Suresh has to pay along with principal amount?

1. Rs. 12560
2. Rs. 12960
3. Rs. 13500
4. Rs. 14500

2) If A lends Rs. 4500 to B at 8% per annum and B lends the same sum to C at 10% per annum, find the gain of B in a period of 3 years.

1. Rs. 220
2. Rs.240
3. Rs. 250
4. Rs.270

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##### 15. Problems on Trains:

1) A train moving at speed of 90 km/hr crosses a pole in 7 seconds. Find the length of the train.

1. 150 m
2. 165 m
3. 175 m
4. 170 m

2) A train of length 200 meters crosses a man running at 10 km/hr in the same direction in 10 seconds. What is the speed of the train?

1. 72 km/hr
2. 95 km/hr
3. 85 km/hr
4. 82 km/hr

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##### 16. Problems on Time and Work:

1) Worker A completes a task in 8 days, and worker B completes the same task in 10 days. If both A and B work together, in how many days they will complete the task?

1. days.
2. days.
3. days.
4. days.

2) Vikas and Mohan working together can complete a work in 6 days. If Vikas alone completes the same work in 10 days, in how many days Mohan alone can complete the same work?

1. 13 days
2. 14 days
3. 15 days
4. 16 days

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##### 17. Problems on Alligation and Mixture:

1) A 60 liter mixture of milk and water contains 10% water. How much water must be added to make water 20% in the mixture?

1. 8 liters
2. 7.5 liters
3. 7 liters
4. 6.5 liters

2) An alloy contains14 parts of tin and 100 parts of copper. What is the percentage of tin in the alloy ?

1. 12.3%
2. 13%
3. 11.5%
4. 11%

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##### 18. Problems on Surds and Indices:

1) The value of 51/4 x (125)0.25 is

1.
2. 5
3. 25

2) Value of (256)0.16 x (256)0.09 is

1. 64
2. 4
3. 8
4. 16

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##### 19. Problems on HCM and LCM:

1) What is the HCF of 1095 and 1168?

1. 37
2. 73
3. 43
4. 83

2) Find the HCF of 210, 385, and 735.

1. 7
2. 14
3. 21
4. 35

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##### 20. Problems on Area:

1) What is the area of a triangle with base 5 meters and height 10 meters?

1. 20 square meters
2. 35 square meters
3. 25 square meters
4. 40 square meters

2) The base of a right-angled triangle is 10 and hypotenuse is 20. What is its area?

1. 52 meters
2. 58 meters
3. 68 meters
4. 60 meters

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##### 21. Problems on Ratio and Proportion:

1) A: B: C is in the ratio of 3: 2: 5. How much money will C get out of Rs 1260?

1. 252
2. 125
3. 503
4. None of these

2) If a: b is 3: 4 and b: c is 2: 5. Find a: b: c.

1. 3: 2: 5
2. 3: 6: 5
3. 3: 4:10
4. 2: 3: 4

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##### 22. Problems on Races and Games:

1) In a kilometer race, A beats B by 40 meters or by 5 seconds. What is the time taken by A over the course?

1. 1 minute 57 seconds.
2. 2 minutes.
3. 1.5 minutes.
4. None of these.

2) In a race of 600 m, A can beat B by 50 m, and in another race of 500 m, B can beat C by 60 m. Then by how many meters will A beat C in a race of 400 meters?

1. 77  m
2. 77 m
3. 70 m
4. None of these.

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##### 23. Problems on Probablity:

1) What is the probability of getting an even number when a dice is rolled?

1. 1/5
2. 1/2
3. 1/3
4. 1/4

2) What is the probability of getting two tails when two coins are tossed?

1. 1/3
2. 1/6
3. 1/2
4. 1/4

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##### 24. Problems on Volume and Surface Area:

1) The surface area of a cube is 600 cm2. The length of its diagonal is

1.  cm
2.  cm
3. 10  cm
4. 10  cm

2) The length of the longest rod that can be placed in a room 30 m long, 24 m broad and 18 m high, is

1. 30 m
2. 15  m
3. 30  m
4. 60 m

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##### 25. Problems on Decimal Fraction:

1) Find the missing term of the given expression:
18.834 + 818.34 -? = 618.43

1. 217.644
2. 218.744
3. 217.744
4. 217.844

2) What is the value of (25.732)2 – (15.732)2?

1. 414.64
2. 414.256
3. 414.128
4. 414.52

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##### 26. Problems on Simplificatin:

1) The value of = ?

1. 98
2. 35
3. 350
4. None of these.

2) =?

1. 45
2. 81
3. 405
4. 25

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##### 27. Problems on Stocks and Shares:

1) What is the market price of a 9% share when a person gets 180 by investing Rs. 4000?

1. 150
2. 200
3. 250
4. 300

2) What will be the investment in order to obtain an income of 550 from 10% stock at Rs. 96?

1. 5280
2. 6280
3. 7280
4. 8280

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##### 28. Problems on Chain Rule:

1) If 15 men can reap the crops of a field in 28 days, in how many days will 5 men reap it?

1. 50 days
2. 60 days
3. 84 days
4. 9.333 days

2) If 8 men can reap 80 hectares in 24 days, how many hectares can 36 men reap in 30 days?

1. 450
2. 350
3. 152
4. 652

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##### 29. True and Banker's Discount:

1) The true discount on a bill of Rs. 2700 is Rs. 200. What is the banker’s discount?

1. Rs. 210
2. Rs. 212
3. Rs. 216
4. Rs. 218

2) The banker’s discount and the true discount on a sum of money due 8 months hence are 140 and 130 respectively. What are the sum and the rate percent?

1. 1820, 11.5%
2. 1920, 12.5%
3. 1930, 10.5%
4. 1940, 9.5%

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##### 30. Problems on Logarithm:

1) Find the logarithm of 1/256 to the base 2√2.

1. 16
2. 13/5
3. -16/3
4. 12

2) If loga [1/36] = -2/3, find the value of a.

1. 6
2. 8
3. 9
4. 216

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##### 31. Square Roots and Cube Roots:

1)  80= 1. 3.74
2. 149.67
3. 196
4. 225

2) Value of 1. 5
2. 2
3. 3
4. suare root 2

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##### 32. Number Problems:

1) If 30% of a certain number is 12.6, what is the number?

1. 24
2. 42
3. 23
4. 32

2) One-fourth of one-third of two-fifth of a number is 15. What will be 40% of that number?

1. 120
2. 180
3. 270
4. 350

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##### 33. Odd man out and Series:

1)Complete the series 2, 5, 9, 19, 37……

1. 76
2. 74
3. 75
4. None of these.

2) The next number of the sequence 0, 7, 26, 63….

1. 124
2. 126
3. 215
4. 217

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##### 34. Problems on Algebric Expression:

1) If x2 +1/ x2 = 34,x+1/x is equal to

1. 3
2. 4
3. 5
4. None of these

Explanation:

Adding 2 to the L.H.S and R.H.S of the equation:

x2+2+ =34+2[∵(a+b)2=a2+b2+2ab]

(x+ )2= 36

(x+ )= +6,-6

2) The value of x in the equation: 16x +1/x = 8 is Explanation:

16x+ =8 =8

16x2+1=8x

=>16x2+1-8x=0

=>(4x-1)2=0

=>x =1/4 , 1/4

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##### 35. Problems on Permutaton and Combination:

1) In what ways the letters of the word “RUMOUR” can be arranged?

1. 180
2. 150
3. 200
4. 230

The word RUMOUR consists of 6 words in which R and U are repeated twice.
Therefore, the required number of permutations = Or, = 180

Hence, 180 words can be formed by arranging the word RUMOUR.

2) In what ways the letters of the word “PUZZLE” can be arranged to form the different new words so that the vowels always come together?

1. 280
2. 450
3. 630
4. 240

The word PUZZLE has 6 different letters, but ATQ, the vowels should always come together.
Now, let the vowels UE as a single entity.
Therefore, the number of letters is PZZL = 4, and UE = 1
Since the total number of letters = 4+1 = 5
So the arrangement would be in 5P5 =  = 5! = 5*4*3*2*1 = 120 ways.

#### Note: we know that 0! = 1

Now, the vowels AE can arrange in 2 different ways, i.e., 2P2 = 2! = 2*1 = 2 ways

Hence, the new words that can be formed = 120 *2 = 240.

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##### 1. Problems on Pie Charts:

1.The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie-chart and the answer the questions based on it.

Various Expenditures (in percentage) Incurred in Publishing a Book 1) If for a certain quantity of books, the publisher has to pay Rs. 30,600 as printing cost, then what will be amount of royalty to be paid for these books?

• Rs. 19,450
• Rs. 21,200
• Rs. 22,950
• Rs. 26,150

2)What is the central angle of the sector corresponding to the expenditure incurred on Royalty?

• 15°
• 24°
• 54°
• 48°

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##### 2. Problems on Table Charts:

1.Study the following table and answer the questions based on it.

Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.

Note : Rotate screen to see responsive table

1) What is the average amount of interest per year which the company had to pay during this period

• Rs. 32.43 lakhs
• Rs. 33.72 lakhs
• Rs. 34.18 lakhs
• Rs. 36.66 lakhs

2)The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period?

• 0.1%
• 0.5%
• 1%
• 1.25%

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##### 3. Problems on Bar Charts:

1.The bar graph given below shows the sales of books (in thousand number) from six branches of a publishing company during two consecutive years 2000 and 2001.

Sales of Books (in thousand numbers) from Six Branches – B1, B2, B3, B4, B5 and B6 of a publishing Company in 2000 and 2001.

1)What is the ratio of the total sales of branch B2 for both years to the total sales of branch B4 for both years?

• 2:3
• 3:5
• 4:5
• 7:9

2)Total sales of branch B6 for both the years is what percent of the total sales of branches B3 for both the years?

• 68.54%
• 71.11%
• 73.17%
• 75.55%

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##### 4. Problems on Line Charts:

1.Study the following line graph and answer the questions.

Exports from Three Companies Over the Years (in Rs. crore) 1) For which of the following pairs of years the total exports from the three Companies together are equal?

• 1995 and 1998
• 1996 and 1998
• 1997 and 1998
• 1995 and 1996

2) Average annual exports during the given period for Company Y is approximately what percent of the average annual exports for Company Z?

• 87.12%
• 89.64%
• 91.21%
• 93.33%

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