Quantitative Aptitude For All Bank Exam - Data Interpretation

Study the following information carefully to answer the question
The teacher's colony has 2800 members. Out of which 650 members read only English newspapers. 550 members read only Hindi news papers ans 450 members read only Marathi newspaper.Reading all the 3 newspapers is100. Reading Hindi as well as English newspaper are 200. 400 members read Hindi as well as Marathi newspaper and 400 read English as well as Marathi newspaper

1.How many members read at least 2 newspapers?
[1]600    [2]800   [3]500   [4]1000   [5]None of these

2.Finds the number of members reading Hindi newspapers?
[1]750    [2]980    [3]1000   [4]1020  [5]Nome of these

3.Find the number of member reading no newspaper?
[1]150    [2]460    [3]550    [4]750   [5]None of these

4.Find the difference between number of members reading English as well as Marathi newspaper and the number of member reading English as well as Hindi newspaper?
[1]300   [2]200   [3]100   [4]50   [5]None of these

5.How many members read only one newspaper?
[1]1560   [2]1650    [3]1640   [4]1540   [5]None of these



Answer
      Hindi                           English
         |                                  |
      500         100               650
                     100
          300                300
                   450
                     |
               Marathi
1.[2]Required number of mebers
= 300 + 300 +100+100 = 800
2.[5]Required number of member
 = 550+300+100+100 = 1050
3.[5] 350
4.[2]Required Difference = 300 - 100 = 200
5.[2]Required number of members = 550 +450+650
                                                 = 1650

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Quantitative Aptitude For All Bank Exam

In each of these questions a number series is given.In each series only one number is wrong.Find out the wrong number.
1.17      20       46       147     599       3015   18108
[1]20           [2]46         [3]599       [4]147          [5]3015

2.9         14      40         129        536        2705      16260
[1]14         [2]40         [3]536          [4]9          [5]129

3.8      18      64        272         1395        8424        59045
[1]18      [2]64         [3]272        [4]1395        [5]8424

4.90  135     286        750       2160          6405         19155

[1]90         [2]750        [3]6405          [4]286       [5]2160

5.17        36      132         635    3500   21750     153762
[1]635         [2]635         [3]132     [4]3500      [5]36

Answr
1.[3]The number should be 600 in place of  599. The series is*1+3, *2+6, *3+9,....

2.[2]The number should be 38 in place of  40. The series is *1+5, *2+10, *3+15....

3.[2]The number should be 63 in place of  64. The series is (8+1)*2, (18+3)*3, (63+5)*4.....

4.[4]The number should be 285 in place of  286. The series is (90 - 45)*3, (135 - 40)*3, (285 - 35)*3.....

5.[1]The number should be 636 in place of  635. The series is (17+13)*2, (36+23)*3, (132+33)*4.,(636+43)*5.....

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Quantitative Aptitude Answer With Explanation For Bank Exam

In each of the following question is asked followed by three statements.You have to study the questions and all the three statements given and decide whether any information provided in the statements is/are redundant and can be dispensed with while answering the questions?

1.9 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work.How many more days will be required to complete the work?
A.19 men and 12 women together can complete the work in 18 days?
B.16 men can complete two-thirds of the work in 16 days.
C.In a days, the work done by three men is equal to the work done by four women.
1)Any two of the three together are sufficient
2)B and C only
3)C only
4)B or C only
5)A or B or C

2.Which is the area of the given right-angled triangle?
A.Length of the diagonal is 5cms.
B.Perimeter if the triangle is four times its base
C.One if the angles if the triangle is of 60degree
1)A only
2)A and C only
3)B or C only
4)B and C both
5)A or B or C

3.Three friends X,Y, and Z stared a partnership business investing money in the ratio of 5:4:2 respectively for a period of 3 years,What is the amount received by X as the share in the total profit?
A .Total amount invested in the business is Rs.22,000
B.Profit was distributed after a period of 2 years
C.The average amount of profit earned per years is Rs.2,750
1)A only
2)B only
3)C only
4)A or C only
5)A or B or C

4.How much time will the train 'X' take to cross another train 'Y' running in opposite drections/
A.Train 'X' crosses a signal pole in 6 seconds
B.Ratio of the speeds of train 'X' and' Y' is 3:2.
C.Length of the two trains together is 500 metres

1)A only
2)B only
3)C only
4)And B only
5)The question cannot be answered even with the information in all the three statements

5.What will be the cost of painting the four walls of a room with length,Width and height 5 meters.3 metrres asnd 6 meters respectively?The room has one door and one window.
A.Cost of painting per square meter is Rs.25.00
B.Area of window of 2.25 sq.meters is half of tyhe area of the door
C.Area of the room is 15 sq.meters
1)A only
2)Band C together
3)A and B together
4)C only
5)All are required to answer the question

Answer
1.[5]
2.[2]Let the length and breadth of the rectangle be l and b respectively.

A-> I 2+  B2 = 25

B-> I+B+H = 4B

or I = 3B-5

C-Ratio between I and B is given.After combining any of the above two statement, we get the values of I and B.Hence any of them can be dispensed with

3.[4]When investment ratio is given, the amount of profit can be found out with the help of Conly.

4.[5]

5.[4]The area of four walls can be easily determined with the help of the data given in the question.Now the area of the windows and door with the help of (B) can be subtracted in the calculated area and then multiplied with the cost given in (A)

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Quantitative Aptitude Answer With Explanation For Bank Exam

1.What number should be added to or subtracted from each term of the ratio 17:24 so that it becomes equal to 1:2?
[1]5 is subtracted
[2]10 is added
[3]7 is added
[4]10 is subtracted

2.Find the average of all numbers between 6 and 34 which are divisible by 5
 [1]   15
 [2]   20
 [3]   25
 [4]   30

3.The ratio of weekly incomes of A and B is  9:7 and the ratio of their expenditures is 4:3. If each saves Rs.200/- per week, then the sum of their weekly incomes is:
[1]Rs.3200/-
[2]Rs.4,200/-
[3]Rs.4,800/-
[4]Rs.56,00/-

4.Aman is noticed by a Sumen from a distance of 200 m. The Amen starts running and the Sumen chases him. The Amen and the Sumen at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
[1] 100 m
[2] 150 m
[3] 190 m
[4] 200 m 

5.If 30% of A is added to 40% of B, the answer is 80% of B.What percentage of A is B?
[1] 30%
[2]40%
[3]70%
[4]75%




Answer
1.[4]Let the number x be subtracted then,
17 - x = 1
 24- x    2
=>34 - 2x = 24 - x  => x = 10

2[2].Average = (10+15+20+25+30)=100=20 
                          5                          5

3.[1]et the weekly income of Aand B respective be Rs.9x and Rs.7x and their expenditure be Rs.4y and Rs.3y
According to question
9x - 4y = Rs.200/------(1)
7x - 3y = Rs.200/------(2)
By solving of eq.(1) and (2)
x = Rs.200/-     u = Rs.400/-
So,sum of their weekly incomes = 9x +7x = 16x
= 16* 200 = Rs.3,200

4.[1]Relative speed of the Amen and Sumen  =  (11 – 10) km/hr = 1 km/hr

Distance covered in 6 minutes  = {(1/60 * 6)} km   = {1/10} km = 100 m

Distance between the Amen and Sumen = (200 – 100) m = 100 m. 

5.[4] A * 30 + B * 40 = B * 80
             100       100         100
      => A * 30 = B * 80 - B * 40
               100          100       100

     =>A * 30 = B * 40       
              100        100
    =>3A = 4B
Required percent = 3/4 * 100 = 75% 
  


 
             

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Quantitative Aptitude Answer With Explanation For Bank Exam

1.The average age of a man and his son is 44 years.The ratio of their ages is 31:13 respectively.What is the son's age?
[1]35 years   [2]26 years  [3]15 years   [4]20 years   [5]None of these

2.A car travels at an average of 50 miles per hour for 2 1/2 hours and then travels at a speed of 70 miles per hour for 1 1/2 hours. How far did the car travel in the entire 4 hours?

[1]. 210 miles
[2]. 230 miles
[3]. 250 miles
[4]. 260 miles
[5]None of these

3.What would be the simple interest obtained on an amount of Rs.64728 at the rate of 10 p.c.p.a. after 7 years?
[1]Rs.45309.6
[2]Rs.39214.2
[3]Rs.48077.5
[4]Rs.40223.1
[5]None of these.

4.A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:
[1].4
[2] 5
[3]6
[4]10
[5]7   

5.What is the least number to be added to 2600 to make it a perfect square?
[1]1
[2]5
[3]3
[4]9
[5] None of these.


Answer1.[2]Let the man's age be 31x years and that of his son be 13x years.
According to the question,
31x  + 13x  = 2*44

=>44x = 88 => 88/44 = 2
Son's age = 13x
= 13*2 = 26 years

2.[2]Speed[1] = 50 miles/hour    Time[1]= 2 1/2  hour = 5/2 hour
 =>Distance1 = Speed1 × Time1 = 50×5/2=25×5=125 miles
Speed[2] = 70 miles/hour    Time[2] = 1 1/2 hour = 3/2 hour
Distance[2] = Speed2 × Time2 = 70×3/2=35×3=105 miles
Total Distance = Distance1 + Distance2 =125+105=230 miles

3.[1]SI= P*R*T
              100

           = 64728 * 10 *7
                       100
      = Rs. 45309.6     
4[2].Let the speed of the stream be x km/hr. Then,

Speed downstream = (15 + x) km/hr,

Speed upstream = (15 - x) km/hr.

   
  30       +             30         =  4 1/2
(15 + x)        (15 - x)

900             =   9
225 - x2           2

9x2 = 225

x2 = 25

x = 5 km/hr.        

5[1]50 *50 = 2500
51 *51 = 2600
Least  number to be added
= 2601 - 2600  =1  

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Quantitative Aptitude Answer with Explanation For IBPS Bank Exam

1.Two trains starting at the same time from two stations 240 km apart and going in opposite directions cross each other at a distance of 160 km from one of the stations. What is the ratio of their speeds?
[1]2:1
[2]2:3
[3]1:3
[4]1:4

2.A person has to cover a distance of 6 km in 45 minutes. if he cover half of the distance in two-third of the total time; to cover the remaining distance in the remaining time ,his speed must be
[1]6 km/h
[2]8km/h
[3]12 km/h
[4]15km/h

3.If the area of a square flowerbed is 16 square feet, then how many feet is the perimeter of the flowerbed?
   [1]   4
  [2]   16
  [3]    20
  [4]    24

4.A borrowed Rs.4800/- from B at 9% per annum simple interest for 3  years. He then added some more money to the borrowed sum and lent it to C for the same period at 12% per annum simple interest. If A gains Rs 720/- in the whole transaction how munch did he add from his side?
[1] Rs.500/-
[2] Rs.740/-
[3] Rs.640/-
[4] Rs.800/-

5.Ramya bought clothes for Rs 7200 and spent Rs 200 on transport. Paying Rs 600, he had 330 towels made, which he sold at Rs 28 each. His profit percentage is :.
[1]15.5   
[2]16.15
[3]10 .   
[4]None of these

Answer
1.[1]Let speed of first train = x km/h
        Let speed of second train = y km/h
According to question
120 + 600-129  =  8   .............................(1)
  x           y
200  +  600-200  = 25  ............................(2)
 x             y               3

solving (1) and (2) we get
x = 60,  y = 80
Required ratio = 60: 80 = 3 :4

2.[3]Remaining distance = 3 km
Remaining time =1 * 45 = 15 min = 0.025 h
                           3
 Required speed = 3      = 12 km/h
                           0.025
3.[2]: The area of a square is represented by the formula, A=s².
 Substituting 16 for A gives: 16=s².
Solving for s shows each side length to be 4 feet.
 Thus, the perimeter is equal to the product of 4 and 4 ft, or 16 ft.

4.[4]
Let his add money = Rs x
According to questipn
(4800 + x ) *12 * 3  - 4800 * 9* 3 = 720
   100                               100
=> 48*36 + x * 36 -  48 *27 = 270
                        100
=>x = 288*100 = Rs 800/-
                    36
5.[1]Total investment = Rs. (7200+200+ 600) Rs. 8000.
Total receipt Rs. (330 x 28) = Rs. 9240.
profit % = [1240/8000] * 100 = 15.5

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Quantitative Aptitude Answer with Explanation For IBPS Bank Exam

1(Q1 - 3).In a group of 1440 persons,1/6 like coca-cola only,37.5% like pepsi only and 510 like Mirinda. 62.5% of them like all the three drinks while 6 do not not like even one of the drinks. The no. of persons who like both Mirinda and pepsi only is half the no. of persons who like both coca- cola and pepsi only. 1/8 like both coca-cola and Mirinda only.
1.How many persons like Mrinda only?
1] 174     2]160   3]168    4]Data inadequate   5]None of these

2.What is the difference between the no. of persons who like coca-cola and those who like pepsi only?
1]300       2]118       3]192      4]Data inadequate     5]None of these

3.Find the percentage of no. of persons who like more than  one drink.
1]27.5      2]33.9      3]33.75        4]Data inadequate     5]None of these

4.In a class of 55 students 35 like tea, 27 take coffee and 12 take both. Find the number of students who take neither tea or coffee
1]10       2]5      3]15     4]8      5]None of these.

5.There are 1000 students, out of which 650 drink tea and 390 drink coffee and 30 students do not drink either tea or coffee, How many students drink both tea or coffee?
1]80       2]90     3]70    4]Data inadequate     5]None of these


Answer
1[3]
the no. of persons who like Mirinda only
= 510 - (180 + 90 + 72) = 168

2.[5]Req.difference = 240 +144+ 180 + 90 - 540 = 654 - 540 = 114

3.[3] Total no. of persons who like more than  one drink.= 180 +144+72 +90 = 486
Req percentage = 486/1440 * 100 = 33.75%

4.[2] Required no. of students - 55-(23+12+125) = 55 - 50 = 5

5.[3]Let x be the no. of students who drink both
 650 - x  + x + 390 - x + 30 = 1000
or -x = 1000 - 1070 or x = 70

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Quantitative Aptitude Answer with Explanation For IBPS Bank Exam

1.1.What is the length of a running train?

I. The train crosses a man in 9 seconds.

 II. The train crosses a 240 metre long platform in 24 seconds

A.     I alone sufficient while II alone not sufficient to answer
B.     II alone sufficient while I alone not sufficient to answer
C.     Either I or II alone sufficient to answer
D.     Both I and II are not sufficient to answer
E.     Both I and II are necessary to answer

2.If a real estate agent received a commission of 6 percent of the selling price of a certain house, what was the selling price of the house?
(1) The selling price minus the real estate agent's commission was $84,600.
(2) The selling price was 250 percent of the original purchase price of $36,000.
(A) Statement (1)alone is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
(C)Both statements together are sufficient, but neither statement alone is sufficient.
(D)each statement alone is sufficient.
(E) Statements (1) and (2)  together are not sufficient.

3.A certain number of men complete a piece of work in 60 days. If there were 8 men more, the work could be finished in 10 days less. How many men were originally there?
A.     30    
B.     40
C.     32    
D.     36
E.      45

4. passenger train covers the distance between stations X and Y, 50 minutes faster than a goods train. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph.

 A.   20 kms
  B.  25 kms
  C.  45 kms
  D.  40 kms
  E.  30 kms

5.A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road? A.     2.91 m   B.     3 m C.     5.82 D.        4 E     None of these

Answer:and Explanation:
1. E
Time taken by train to cross a man =     Length of train        =>   Speed =     L          (i)
                                                            Speed of train                            9

Time taken by train
to cross a platform =     (Length of train +Length of platform)
                                                    Speed of train             =>   Speed =    L    + 240     ....(ii)   
                                                                                                                    24
From (i) and (ii), we get     L=     L + 240     .
                                         9         24

Thus, L can be obtained. So both I and II are necessary to get the answer.

.
2.[D].

3.[B]
.Let be the original number of men be x
 60x = (x + 8) 50
 60x = 50x + 400 
10 x = 400 
x = 40

4.B
Let 'd' be the distance between the stations X and Y.

Time taken by the passenger train to cover the distance 'd' = d/60 hour
Time taken by the goods train to cover the distance 'd' = d/20 hour
Time difference between these two trains is given by 50 minutes or 50/60 hour

i.e., (d/20) - (d/60) = 50/60
      =>(3d - 1d)/60 = 50/60

        =>   2d / 60 = 50/60

    =>d = 256

5.B
Area of the park = (60 x 40) m2 = 2400 m2.

Area of the lawn = 2109 m2.

Area of the crossroads = (2400 - 2109) m2 = 291 m2.

Let the width of the road be x metres. Then,

60x + 40x - x2 = 291

x2 - 100x + 291 = 0

(x - 97)(x - 3) = 0

x = 3.

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Quantitative Aptitude Answer with Explanation For IBPS Bank Exam

1.In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
A.     3 : 7   
B.     5 : 7
C.     7 : 3   
D.     7 : 5

2.A person has 14 red socks and 14 white socks in a drawer. What is the minimum number of socks that he should take to get a correct pair?
A. 5
B.3
C.6
D.4

3.Given five concentric squares. If the area of the circle inside the smallest square is 77 square units and the distance between the corresponding corners of consecutive squares is 1.5 units, find the difference in the areas of the outermost and innermost squares
A.1254 sq units
B.1008 sq units
C.877  sq units
D.650 sq units


4.A sum of money gets doubled at 12% per annum. Then find the time?

A.7.5 years

B.8 years
C.25/3 years .

D.25/4 years

5. A can contains a mixture of two liquids A and B in the ratio 7:5 when 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially?

A.28 litres
B.21 litres
C.45 litres
D.36 litres

Answer
1.C 
Cost of 1 kg pulses of 1st kind                                        Cost of 1 kg pulses of 2nd kind
Rs. 15                                                                                      Rs. 20

                                                     Mean Price
                                                   Rs. 16.50

3.50                                                                                           1.50
Required rate = 3.50 : 1.50 = 7 : 3.
2.B
3.A
Here you will see that radius of the circle is equal to the diameter of the innermost square that is

πr2=77
             
r=3.5√2
              
2r=7√2

Then the diagonal of the square is 14 sq units.

Which means the diagonal of the fifth sqaure would be 14+12 units = 26.
                                                                                         
Which means the side of the fifth square would be 26√2

Therefore, the area of the fifth sqaure = 1352 sq units.

Area of the first square = 98 sq units.

Hence, the difference would be 1254 sq units.
4.C

Time= 100(n-1)/R

      =100(2-1)/12

      =100/12

      = 25/3 years

5. (B) Let initially contained 7x & 5x

So, 

         (7x-9/12*7)/(5x-9/12*5+9)=7/9

        (12x-9)/(60x+63)=1/9

         x=3

Required Quantity = 7x = 7*3=21 litres

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Quantitative Aptitude Answer with Explanation For IBPS Bank Exam

1.The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:
A.     3 months   
B.     4 months
C.     6 months   
D.     8 months

2..A cistern 6 m long and 4 m wide contains water up to a breadth of 1 m 25 cm. Find the total area of the wet surface.
A.    42 m sqaure
B.    49 m sqaure
C.    52 m sqaure
D.    64 m sqaure



3. Richard deposits $ 5400 and got back an amount of $ 6000 after a year. Find the simple interest he got.
A. 245
B.678
C.600
D.500

4.f the price of gasoline increases by 25% and Ron intends to spend only 15% more on gasoline, by what % should he reduce the quantity of petrol that he buys?
A. 10%
B. 12.5%
C. 8%
D. 12%

5.P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?
A. 9(3/5) days
B. 9(1/5) days
C. 9(2/5) days
 D. 10 days

Answer
1.b
S.I. on Rs. 1600 = T.D. on Rs. 1680.

Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%.

Time =  100 x 80     year     =     1     year = 4 months.
           1600 x 15                       3
2.B
Area of the wet surface =
2[lb+bh+hl] - lb = 2 [bh+hl] + lb
= 2[(4*1.25+6*1.25)]+6*4 = 49 m square 

3.CPrincipal (P) = $ 5400,
Amount (A) = $ 6000
Simple Interest (SI) = Amount (A) – Principal (P)
= 6000 - 5400
= 600
Therefore, Richard got an interest of $ 600

4c
,Let the price of 1 litre of gasoline be $x and let Ron initially buy 'y' litres of gasoline.

Therefore, he would have spent $xy on gasoline.

When the price of gasoline increases by 25%, the new price per litre of gasoline is 1.25x.

Ron intends to increase the amount he spends on gasoline by 15%.

i.e., he is willing to spend xy + 15% of xy = 1.15xy

Let the new quantity of gasoline that he can get be 'q'.

Then, 1.25x * q =
1.15xy/1.25x  =  1.15/1.25 y = 0.92y.

As the new quantity that he can buy is 0.92y, he gets 0.08y lesser than what he used to get earlier.

Or a reduction of 8%.

5.a
Amount of work P can do in 1 day = 1/16

Amount of work Q can do in 1 day = 1/12

Amount of work P, Q and R can together do in 1 day = 1/4

Amount of work R can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48

=> Hence R can do the job on 48/5 days = 9 (3/5) days

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Quantitative Aptitude Answer with Explanation For IBPS Bank Exam

1.A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:
1.     0%   
2.     5%
3.     7.5%   
4.     10%
2.Study the following table chart and answer the questions based on it.Expenditures of a Company(in Lakh Rupees) per Annum Over the given Years.
Year    Salary    FuelandTransport    Bonus    InterestonLoans    Taxes
1998    288                98                  3.00            23.4                 83
1999    342                 112                2.52            32.5               108
2000    324                101                 3.84             41.6               74
2001    336                 133                3.68             36.4              88
2002    420                 142                 3.96            49.4              98

a. What is the average amount of interest per year which the company had to pay during this period ?

1. Rs. 36.66 lakhs
2. Rs. 36.36 lakhs
3. Rs. 36.26 lakhs
4. Rs. 36.06 lakhs

b.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 ?

1. 0.5%
2. 1%
3. 1.5%
4. 2%

c.Total expenditure on all these items in 1998 was approximately what percent of the total expenditure in 2002 ?

1. 61%
2. 47%
3. 59%
4. 69%

d.. Calculate the total expenditure of the company over these items during the year 2000 from the table chart given.

1. Rs. 543.44 lakhs
2. Rs. 544.44 lakhs
3. Rs. 545.44 lakhs
4. Rs. 546.44 lakhs

e.The ratio between the total expenditure on Taxes for all the years and the total expenditure on Fuel and Transport for all the years respectively is approximately?

1. 4:13
2. 7:13
3. 10:13
4. 11:13

Answer

1.[1]


C.P. = Rs. 3000.

S.P. =        Rs.  3600 x 100        = Rs. 3000.
                         100 + (10 x 2)

 Gain = 0%

2.[a (1)] Average amount of interest paid by the Company during the given period will be
23.4+32.5+41.6+36.4+49.4 lakh=36.66lakhs
                        5

. b(2)
3.00+2.52+3.84+3.68+3.96   *  100%
288+342+324+336+420
=   (17     ∗100)%
     1710
= 1%approx.
.c(4)
Required percentage we can easily calculate from the above table chart.
Required percentage will be,
(288+98+3.00+23.4+83   * 100
420+142+3.96+49.4+98

=495.4  * 100
713.36
= =69.45%  
d.(2)Total expenditure of the Company during 2000

= Rs. (324 + 101 + 3.84 + 41.6 + 74) lakhs

= Rs. 544.44 lakhs.
      
e.(3)
83+108+74+88+98      
98+112+101+133+142


451   =  1     =  10
586       1.3       13

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Quantitative Aptitude Answer with Explanation For IBPS Bank Exam

1.A merchant who marked his goods up by 50% subsequently offered a discount of 20%. What is the percentage profit that the merchant make after offering the discount?

1. 30%
2. 125%
3. 25%
4. 20%
5. 16.66%

2.The cost of 11 pencils is equal to the selling price of 10 pencils. Find the loss or profit percent, whatever may be the cost of 1 pencil. 
A.40%
B.10%
C.25%
D.15%
E.25% 


3.A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
A.     20 hours   
B.     25 hours
C.     35 hours   
D.     Cannot be determined
E.     None of these


4.What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?

1. 6
2. 4
3. 24.5
4. 20.5
5. 12.5

5.The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
A.     276   
B.     299
C.     322   
D.     345
E.      364

 Answer

 1.[d]

The easiest way to solve these kinds of problems is to assume a cost price for the merchant.

To make calculations easy, let us assume that the cost price = $100

The merchant marks his goods up by 50%.

Therefore, his quoted price = cost price + mark up

= $100 + 50% of $100 = 100 + 50 = $150

Now, the merchant offers a discount of 20% on his quoted price

Therefore, amount of discount = 20% of $150 = 20% of 150 = $30

Therefore, he finally sells it for $150 - $30 = $ 120.

We assumed his cost to be $ 100 and he sold it finally for $ 120.

Therefore, his net profit = $ 20 on his cost of $ 100

Hence, his % profit = = 20%.


2.[B] The cost price of 11 pencils = S.P of 10 pencils
Let C.P of 1 pencil is $1 .
C.P of 10 pencils = $ 10
S.P of 10 pencils = C.P of 11 pencils = $ 11
Profit on 10 pencils = 11 – 10 = $1
Profit % = ( 1/ 10) x 100 = 10 %

3.[C]Suppose pipe A alone takes x hours to fill the tank.

Then, pipes B and C will take     x     and     x     hours respectively to fill the tank
                                                  2               4

 1+2+4        =           1
      X                        5
7/X      = 1/5
=> X = 35
 4.[D]From the measure of the length of the sides of the triangle, 9, 40 and 41 we can infer that the triangle is a right angled triangled. 9-40-41 is a Pythagorean triplet.

In a right angled triangle, the radius of the circle that circumscribes the triangle is half the hypotenuse.

In the given triangle, the hypotenuse = 41.

Therefore, the radius of the circle that circumscribes the triangle = 41/2= 20.5 units.
 5.[C]
Clearly, the numbers are (23 x 13) and (23 x 14).
Larger number = (23 x 14) = 322.

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Quantitative Aptitude Answer with Explanation For IBPS Bank Exam

1.Baskar invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Baskar got back 4 times his original investment. What is the value of n?

 [a]   50 years
 [b]   25 years
 [c]   12 years 6 months
 [d]   37years 6months
 [e]24 years

2.A merchant who marked his goods up by 50% subsequently offered a discount of 20%. What is the percentage profit that the merchant make after offering the discount?

 [a]30%
[b]125%
[c]25%
[d 20%
[e] 57%

 3.A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?

[a] 240 meters
[b]360 meters
[c] 420 meters
[d] 600 meters
[e] Cannot be determined

4.In how many ways can the letters of the word "PROBLEM" be rearranged to make 7 letter words such that none of the letters repeat?

[a] 7!
[b] 7C7
[c] 77
[d] 49
[e] None of these

 5 A poultry farm has only chickens and pigs. When the manager of the poultry counted the heads of the stock in the farm, the number totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many chickens were there in the farm?

 [a] 70
[b] 120
[c] 60
[d] 130
[e] 80

 Answer



1[d]

Let us say Baskar invested $100.

Then, at the end of 'n' years he would have got back $400.

Therefore, the Simple Interest earned = 400 - 100 = $300.

We know that Simple Interest = (Principal * number of years * rate of interest) / 100

Substituting the values in the above equation we get 300 = (100 * n * 8) / 100

Or 8n = 300

Or n = 37.5 years.

2.[d]

To make calculations easy, let us assume that the cost price = $100

The merchant marks his goods up by 50%.

Therefore, his quoted price = cost price + mark up

= $100 + 50% of $100 = 100 + 50 = $150

Now, the merchant offers a discount of 20% on his quoted price

Therefore, amount of discount = 20% of $150 = 20% of 150 = $30

Therefore, he finally sells it for $150 - $30 = $ 120.

We assumed his cost to be $ 100 and he sold it finally for $ 120.

Therefore, his net profit = $ 20 on his cost of $ 100

Hence, his % profit = 20/100 * 100 = 20%.

3[a].

The extra time that the train takes when crossing the platform is on account of the extra distance that it has to cover = length of the platform.

Therefore, length of the platform = speed of train * extra time taken to cross the platform

Length of platform = 72 kmph * 12 seconds

Converting 72 kmph into m/sec, we get 72 kmph = 5/18 = 20 m/sec

Therefore, length of the platform = 20 * 12 = 240 meters.

4.[a]

There are seven positions to be filled.

The first position can be filled using any of the 7 letters contained in PROBLEM.

The second position can be filled by the remaining 6 letters as the letters should not repeat.

The third position can be filled by the remaining 5 letters only and so on.

Therefore, the total number of ways of rearranging the 7 letter word = 7*6*5*4*3*2*1 = 7! Ways.

5[d]

Let there by 'x' chickens and 'y' pigs.

Therefore, x + y = 200 --- (1)

Each chicken has 2 legs and each pig has 4 legs

Therefore, 2x + 4y = 540 --- (2)

Solving equations (1) and (2), we get x = 130 and y = 70.

There were 130 chickens and 70 pigs in the farm.

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Quantitative Aptitude Answer with Explanation For IBPS Bank Exam

1.12 years ago the ratio between the ages of A and B was 3:4 respectively. The present age of B is 3  3
                                                                                                                                                         4
times of c' present age . If C' present age is 16 years then what is A's
                                                                                                                                                            
present age?(in years)
[1]48               [2]42                [3]60        [4]54         [5]36 

2.A certain number of capsules were purchased for Rs. 216 . Fifteen more capsules could have been purchased in the same amount if each capsules was cheaper by Rs 10. What was the original number of capsules purchased?

3.A,B,C started a business  by investing Rs 12,800 Rs.16,800, and Rs.9600 respectively. If after 8 months B received Rs 13125 as his shares in the profit ,what amount did C get as his share of profit?
[1]Rs.7800
[2]Rs.7150
[3]Rs.7750
[4]Rs.8250
[5]Rs.7500

4.(1097.63 + 2197.36 - 2607.24 ) / 3.5 = ?
[1]211.5
[2]196.5
[3]209.5
[4]192.5
[5] 189.5

5.-676.76 + `1237.87 + 897.34 - ? = 1294.25
[1]168.6
[2]164.2
[3]156.4
[4]172.2
[5]158.6


Answer1. [1]  B's age = 4x + 12 years
                A' s age = 3x + 12 years

                 At present C' present age is 16 years
                  present age of B is 3 3    times of c' present age
                                                  4 
                           => 4x + 12 = 15  X 16 = 48
                                                  4
             =>4x = 60 -- 12 = 48
              => x = 48/4 = 12
     A' s age = 3x + 12 years
                  = 3 x 12 + 12  = 48 years

  2. [4] Let the cost of each capsules be Rs.x
         216      -      216    = 15
       x-10               x
=>216  {x-x+10}  = 15 
             x(x-10)

=>216 X 10 = 15x (x - 10)

=>x(x-10) = 216 X 10 = 144
                     15

=>x (x-10) = 18 (18-10)
=>x = Rs 18
 Number of capsules bought = 216 = 12
                                              18
 3.[5]Ratio of share = 12800; 16800: 9600 = 16:1 : 12
    If the   total profit  be  Rs.x
B's share =           21x            =    21x  =      3x
                         16 + 21 + 12       49            7   
          3x    = 13125
          7
=> x = 13125 X 7  = Rs .30625
                 3
=> C's share = 12  X 30625
                       49
= Rs. 7500

4.[2] = 687.75   =  196.5
            3.5
5.[2]  =>1458.45 - ? -=  1294.25
      = 1458.45 -1294.25  = 164.2

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Quantitative Aptitude For IBPS And SBI Exams

In each of these question a number series is given. Below the series one number is given followed by (a),(b),(c),(d) and (e).You  have to complete this series following the same logoc as in the original series and answer the question that follows;
1].6                  16                     57                    244                  1245                   7506  
   4                    (a)                    (b)                    (c)                    (d)                        (e)
What will come in place of (d)?
[1]985                 [2]980              [3]1004       [4]1015       [5] None of these.

2]-2                   0                        3                     14                      63                     326
  15                   a)                    (b)                    (c)                    (d)                        (e)
What will come in place of (d)?
[1]88               [2]671            [3]908         [4]912                        [5] None of these.

3.374               310                  454                  198           598            22
 234                 (a)                    (b)                    (c)           (d)              (e)
What will come in place of (e)?
[1]-118              [2]458               [3]108          [4]128                 [5] None of these


4.45045              9009        63063                 7007                  77077           5929
  1575                  (a)             (b)                    (c)                    (d)                   (e)
What will come in place of (b)?
[1]3205               [2]2405                [3]2205           [4]1805            [5] None of these

5.12              14                  29                31        63       65
   942             (a)             (b)                    (c)                    (d)                   (e)
What will come in place of (b)?
[1]1889          [2]944           [3]1989       [4]954         [5]None of these.

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



6.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?

1.   Rs. 19,450         2.   Rs. 21,200

3.   Rs. 22,950         4.   Rs. 26,150

7.What is the central angle of the sector corresponding to the expenditure incurred on Royalty?

1.   15º         2.   24º     3.   54º          4   48º

8..The price of the book is marked 20% above the C.P. If the marked price of the book is Rs. 180, then what is the cost of the paper used in a single copy of the book?

1.   Rs. 36        2 Rs. 37.50      3.Rs. 42       4.  Rs. 44.25

9.If 5500 copies are published and the transportation cost on them amounts to Rs. 82500, then what should be the selling price of the book so that the publisher can earn a profit of 25%?

1.  Rs. 187.50            2 Rs. 191.5 0         3.  Rs. 175.00            4.  Rs. 180.00

10.Royalty on the book is less than the printing cost by:

1..  5.0%            2.. 33.5%    3..  20.0%          4.  25.0%

Answer
1.[5]None of these
The series is
× 2 + 2² , × 3+3²,× 4+4²,× 5+5², × 6+6²
 2 [2]The series is × 1 + 2 , × 2+3,×3+5,[sum is consective numbers]

3.[1] The series is ; -8²,  +12², -16²
4.[3]The series is ÷5, × 7, ÷9,×11............
5.[1]The series is ×1+2,×2+1, alternatively
 6.[3]Let the amount of Royalty to be paid for these books be Rs. r

Then, 20:15 = 30600:r     
            r = Rs. 30600 x 15    = Rs. 22,950.
                              20
7.[3]Central angle corresponding to Royalty          = 15% of 360º

                                                             =  15    x 360º
                                                                100

                                                             = 54º

8.[2]Clearly, marked price of the book = 120% of C.P.

Also, cost of paper = 25% of C.P

Let the cost of paper for a single book be Rs. n.

Then,                120: 25 = 180: n      
                                       n = Rs.  25 x 180 = Rs. 37.50
                                                     120
 9[1]
For the publisher to earn a profit of 25%, S.P. = 125% of C.P.

Also Transportation Cost = 10% of C.P.

Let the S.P. of 5500 books be Rs. x.

Then,         10 : 125 = 82500 : x      
                                x = Rs.   125 x 82500   = Rs. 1031250.
                                                  10

 S.P. of one book = Rs. 1031250   = Rs. 187.50

10[4]printing Cost of book = 20% of C.P.

Royalty on book = 15% of C.P.

Difference = (20% of C.P.) - (15% of C.P) = 5% of C.P.

 Percentage difference     =     Difference       x 100%
                                         Printing Cost

                                         =      5% of C.P.     x 100%
                                                Printing Cost

                                            =     25%.               

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Quantitative Aptitude For Main Bank Exam

1.The least number which should be added to 2497 so that the sum is exactly divisible dy 5,6,4 and 3 is :
(a) 3          (b)13         (c)23    (d)33

2.1201*1201 = ?
(a)1442401     (b)1600000       (c)1234567       (d)1587690
.
[3 - 7 ]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.

.

3.	What is the ratio of the total sales of branch B2 for both years to the total sales of branch B4 for both years?
	A. 2:3 B. 3:5 C. 4:5 D. 7:9

4.	Total sales of branch B6 for both the years is what percent of the total sales of branches B3 for both the years?
	A. 68.54% B. 71.11% C. 73.17% D. 75.55%

5.What percent of the average sales of branches B1, B2 and B3 in 2001 is the average sales of branches B1, B3 and B6 in 2000?

A.	75%	B.	77.5%
C.	82.5%	D.	87.5%

6.	What is the average sales of all the branches (in thousand numbers) for the year 2000?
	A. 73 B. 80 C. 83 D. 88

.

7.	Total sales of branches B1, B3 and B5 together for both the years (in thousand numbers) is?
	A. 250 B. 310 C. 435 D. 560

8.A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is: A. 4 B. 5 C. 6 D. 10
9. The least perfect square, which is divisible by each of 21, 36 and 66 is: A. 213444 B. 214344 C. 214434 D. 231444
10. A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share? A. Rs. 500 B. Rs. 1500 C. Rs. 2000 D. None of these

Answer
1.  (c)L.C.M of 5,6,4,3 = 5*6*2 = 120
Required number = 2497/120 = 23

2(a).1201*1201 = (1201)'2 = (1200+1)'2
= 1440000+1+2400 =1442401

 3.(d)Required ratio = 75 +65 : 85+95
                              = 140 : 180
                              = 7 : 9
 4.(c) Required % =[70 + 80]/[95 +110]* 100
                             = 105 /205 *100
                                =73.17%

5.(d)Average sales (in thousand number) of branches B1, B3 and B6 in 2000
           = 80 + 95 + 70 / 3
Average sales (in thousand number) of branches B1, B2 and B3 in 2001
    =105 + 65 + 110 /3
Required percentage =  245 / 3 /280 / 3 * 100
                                          = 245/280 * 100
                                       = 87.5%

6.(b)Average sales of all the six branches (in thousand numbers) for the year 2000
    = 80 + 75 + 95 + 85 + 75 + 70 / 6
    =80

7.(d)
Total sales of branches B1, B3 and B5 for both the years (in thousand numbers)
    = (80 + 105) + (95 + 110) + (75 + 95)
    = 560.

8(b).let the speed of the stream be x km/hr. Then,
Speed downstream = (15 + x) km/hr,
Speed upstream = (15 - x) km/hr.

	30	+	30	= 4	1
	(15 + x)		(15 - x)		2

	900	=	9
	225 - x2		2

9x² = 225
x² = 25
x = 5 km/hr.

9.(a)
L.C.M. of 21, 36, 66 = 2772.
Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11
To make it a perfect square, it must be multiplied by 7 x 11.
So, required number = 2² x 3² x 7² x 11² = 213444

10.(C)
Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x - 3x = 1000
x = 1000.
B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.

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