KRISHNA MOHAN

Monday, 7 August 2017

Quantitative Aptitude

Quant Quiz

Direction: What will come in place of the question mark :

1. 124, 228, 436, ?, 1684, 3348
1) 944
2) 852
3) 872
4) 444
5) None of these

2. 1, 3, 24, 360, 8640, ?, 14515200
1) 282400
2) 292400
3) 302400
4) 25426
5) None of these

3. 10, 17, 48, 165, ?, 3475, 20892
1) 688
2) 712
3) 848
4) 918
5) None of these

4. 15, 17, 38, 120, 488, ?, 14712
1) 2450
2) 2650
3) 2850
4) 2950
5) None of these

5. 1, 6, 19, ?, 85, 146, 231
1) 46
2) 44
3) 48
4) 65
5) None of these

6. A hemisphere a cylinder and a cone stand on the same base and have the same height.

Then find the ratio of their volumes respectively ?
1) 1 : 2 : 3
2) 3 : 2 : 1
3) 2 : 3 : 1
4) 2 : 1 : 3
5) None of these

7. 1/3rd of a tank is filled with milk. After taking out 8 litres of milk 1/4th of the is still filled.

Find the capacity of the tank ? (in litre)
1) 84 litre
2) 96 litre
3) 156 litre
4) 80 litre
5) None of these

8. If the ratio of heights and radius of two cones are respectively 2 : 7 and 4 : 3, the ratio of their volume is ?
1) 35 : 63
2) 32 : 63
3) 63 : 32
4) 3 : 49
5) None of these

9. If 27 is subtracted from a number then it is reduced to 40% of its original. The 1/3rd of the number is ?
1) 15
2) 30
3) 60
4) 75
5) None of these

10. In a mixture of 90 litres, the ratio of milk and water is 4 : 2.

How much water should be added to the mixture so that the ratio of milk and water becomes 6 : 4 ?
1) 50
2) 10
3) 40
4) 20
5) None of these

1. 2;
× 2 - 20, ×2 - 20, × 2 - 20, ------------------

2. 3;
×(22 - 1), × (32 - 1), (42 - 1), ×(52 -1), ×(62 -1) ----------

3. 1;
×1 + 7, ×2 + 14, × 3 + 21, ×4 + 28 ----------------

4. 1;
× 1 + 2, ×2+ 4 , ×3 + 6, × 4 + 8, × 5 + 10 ------------

5. 2

6 .3
2/3 * 22/7 * r^3 : 22/7 r^2 h : 1/3 * 22/7 * r^2 h

Since r = h
2 : 3 : 1

7. 2
1/3x - 1/4x = 8
x = 96litres

8. 2
2 * 4^2 : 7 * 3^2
32:63

9. 1
x - 27 = 2/5x
3x = 27 * 5
x = 15

10. 2
Let x litres water us added
60/(30 + x) = 6/4 = 3/2
120 = 90 + 3x
x = 30/3 = 10 litres

Quantitative Aptitude

Quant Quiz (Previous Years Question )

1.A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq.
feet, how many feet of fencing will be required?

(1)87

(2)88

(3)97

(4)98

(5)110

2.A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:

(1)456

(2)885

(3)558

(4)459

(5)656

Directions:(3 - 5) Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it.

You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

Give answer (1) if the data in Statement I alone are sufficient to answer the question,
while the data in Statement II alone are not sufficient to answer the question.

Give answer (2) if the data in Statement II alone are sufficient to answer the question,
while the data in Statement I alone are not sufficient to answer the question.

Give answer (3) if the data either in Statement I or in Statement II alone are sufficient to answer the question.

Give answer (4) if the data even in both Statements I and II together are not sufficient to answer the question.

Give answer(5) if the data in both Statements I and II together are necessary to answer the

3.What will be the cost of painting the inner walls of a room if the rate of painting is Rs. 20 per square foot?

(1)Circumference of the floor is 44 feet.

(2)The height of the wall of the room is 12 feet.

4.The area of playground is 1600 m2. What is the perimeter?

(1)It is a perfect square playground.

(2)It costs Rs. 3200 to put a fence around the playground at the rate of Rs. 20 per metre.

5.What is the height of the triangle?

(1)The area of the triangle is 20 times its base.

(2)The perimeter of the triangle is equal to the perimeter of a square of side 10 cm.

6.The difference between simple interest and compound Interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is:

(1)3

(2)6

(3)2

(4)3.5

(5)1.5

7.The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525.
The simple interest on the same sum for double the time at half the rate percent per annum is:

(1)600

(2)500

(3)400

(4)550

(5)580

8.Find the sum of the series, 51+53+55+………….+99

(1)1875

(2)1870

(3)1885

(4)1935

(5) 2175

9.A plane left 30 min later from the schedule time & in order to reach the destination 1500 km away on time ,

it had increase the speed by 250 kmph from the usual speed,its usual speed is

(1)700kmph

(2)750kmph

(3)250kmph

(4)350kmph

(5)500kmph

10.A certain distance is covered at a certain speed.if half of this distance is coveredin double the time ,the ratio of the two speed is.

(1)4:1

(2)1:4

(3)1:8

(4)1:6

(5)8:1

11.One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

(1)1/4

(2)6/7

(3)3/13

(4)3/5

(5)1/13

12.Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

(1)13/102

(2)5/102

(3)3/13

(4)3/5

(5)1/13

13.A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:

(1)13/102

(2)1/26

(3)3/13

(4)3/5

(5) 1/13

14.A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km
with the stream in the same time as 3 km against the stream. The rate of the stream is:

(1)1kmph

(2)1.5kmph

(3)2kmph

(4)2.5kmph

(5)2.6kmph

15.A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream.

The ratio of the speed of the boat (in still water) and the stream is:

(1)3:1

(2)2:1

(3)1:2

(4)3:2

(5)none of these

Answers with Explanation !!!!!!!!

Quant Quiz (DI)

Q.1-5.Study the following graph carefully and answer the questions given below it.

Distribution of total voters in six different cities and detail of female.voters in these cities

Numbers of total voters = 64000

Ratio of male and female voters = 5 : 3

Q.1. What is the difference between the male voters in city B and female voters

in city A ?

(1) 7000

(2) 6880

(3) 6890

(4) 6850

(5) None of these

Q.2.What is the ratio of male voters in city A and that in city D ?

(1) 58 : 59

(2) 57 : 53

(3) 51 : 55

(4) 59 : 57

(5) None of these

Q.3. The number of female voters is what percent of number of male voters in city E ?

(1) 50

(2) 55

(3) 65

(4) 68

(5) None of these

Q.4.The number of male voters in city F is approximately what percent more than that of male voters in city E ?

(1) 38

(2) 34

(3) 40

(4) 45

(5) 30

Q.5. What is the average number of male voters in city C and D ?

(1) 5200

(2) 5600

(3) 5400

(4) 5800

(5) None of these

Q.6-10.Study the following graph carefully and answer the questions given below it.

Percentage wise distribution of students in six different schools.

Total number of students = 4000

Q.6. Number of boys school (III) is approximately what % of total number of students in school (III)?

(1) 42%

(2) 60%

(3) 45%

(4) 39%

(5) None of these

Q.7. What is the difference between the total number of boys & girls in all the schools?

(1) 450

(2) 600

(3) 400

(4) 490

(5) None of these

Q.8. What is the respective ratio between the number of boys in school II, number of girls in school IV and total number of students in school V?

(1) 5 : 7 : 11

(2) 4 : 9 : 12

(3) 5 : 4 : 14

(4) 7 : 9 : 12

(5) None of these

Q.9. What is the total number of girls in school III, number of girls in school (IV) and the number of boys in school V together?

(1) 1120

(2) 1210

(3) 1080

(4) 1320

(5) None of these

Q.10. What is the percentage number of girls in school IV & VI to that of total number of boys?

(1) 33.33 %

(2) 29.33 %

(3) 27.33 %

(4) 37.33 %

(5) None of these

Answers with Explanation !!!!

Solution

1(2) Diffence = 10240 - 3360 = 6880

2(4) Ratio = 9440 : 9120 = 59 : 57

3(5) Percentage = 2400/4000 *100 = 60

4(1) Percentage increase = 1520/4000 *100 = 38

5(3) Average number = 10800/2 = 5400

6(5) Required % = (160/400)*100 = 40 %

7(5)Required difference = 2250 -1750 = 500

8 (3) Required ratio = 300 : 240 :840 = 5 :4 : 14

9(3) Required total students = 240 + 240 + 600 = 1080

10(2) Required % = ( 420 +240)/2250*100 =29.33

Quant

Quant Quiz

Direction : Following line graph shows the ratio of imports to exports of two companies over the years:

1. In how many of the given years were the imports more than the exports in case of company - A ?
1) 5
2) 3
3) 1
4) 2
5) 4

2. If the imports of company-B in year 2011 were Rs. 51.688 lakh, then what were the exports of company-B in the same year?
1) 64.26 lakh
2) 67.54 lakh
3) 71.36 lakh
4) 73.84 lakh
5) None of these

3. If the exports of company-A and Company-B were equal to 84 lakh in year 2012 then what will be the difference between
imports of company-B and imports of company-A in that year ?
1) 9.6 lakh
2) 8.4 lakh
3) 7.2 lakh
4) 6.8 lakh
5) 5.4 lakh

4. If the exports of company-A in year 2009 and exports of company-B in year 2012 were equal then the imports of company-
B in 2012 is approximately what percentage of imports of company-A in 2009 ?
1) 60%
2) 75%
3) 84%
4) 96%
5) 133.3%

5. In year 2009, If the export of company-B is increased by 100% and import is increased by 200%.

Then what will be the new ratio of import to export of company-B in that year ?
1) 0.8
2) 1.0
3) 1.2
4) 0.6
5) 1.5

6. A cycle is sold at a profit of 15%. If both the cost price and selling price is decreased by Rs. 200

the profit would be 5% more what is the original cost price of cycle ?
1) Rs. 1200
2) Rs. 1000
3) Rs. 800
4) Rs. 600
5) None of these

7. A person lends Rs. 4200 to 'A' for 3 years and Rs. 6500 to 'B' for 7 years.

If the person gets Rs. 8134 as interest then what is the rate of interest per annum ?
1) 6%
2) 8%
3) 10%
4) 12%
5) 14%

8. A sum amounts to Rs. 98010 in 2 years and to Rs. 107811 in 3 years compounded annually. What is the sum ?
1) Rs. 81000
2) Rs. 84000
3) Rs. 87000
4) Rs. 90000
5) Rs. 94000

9. How many different words can be formed with the letters of the word ''BREAKING". So that the words begin with 'B' and end with 'G' ?
1) 120
2) 720
3) 5040
4) 2520
5) 1440

10. A bag contains 9 white and 7 black balls. Three balls are drawn at random. Find the probability that all the three balls are black ?
1) 1/8
2) 1/12
3) 1/16
4) 1/21
5) None of these

ANSWERS

1. 4
Imports > Exports
Imports/Exports >1

2. 4
I/E = 0.7
E = I/0.7
= 51.688/0.7
73.84lakh

3. 2
Ia/Ea = 0.8
Ia = 0.8 * 84 = 67.2lakh
Ib/Eb = 0.9
Ib = 0.9 * 84 = 75.6lakh
Diff = 8.4 lakh

4. 2
Ia/Ea = 1.2
Ib/Eb = 0.9
Let export of A and B are X
Ia = 1.2x
Ib = 0.9x
Req% = 0.9x/1.2x * 100 = 75%

5. 3
I/E = 0.8
I1 = I +200I/100 = 3I
E1 = E + 100E/100 = 2E
Ratio = I1/E1 = 3I/2E = 3/2 * 0.8 = 1.2

6. 3
Let the original cost proce is x, so SP is
115x/100 = 23x/20
Now CP = x - 200
SP = 23x/20 - 200
Profit = 23x/20 - 200 - (x - 200) = 23x/20 - x = 3x/20
% Profit = 3x/20 * 1/(x - 200) * 100 = 20
3x/(x - 200) = 4
3x = 4x - 800
x = 800

7. 5
Let the rate of interest is r% p.a.
4200*r*3/100 + 6500*r*7/100 = 8134
126r + 455r = 8134
r = 8134/581 = 14% p.a.

8. 1
P (1 + R/100)^3 = 107811
p(1 + r/100)^2 = 98010

1 + r/100 = 107811/98010
r/100 = 9801/98010
r = 10%

P = (1 + 10/100)^2 = 98010
p = 98010 * 100/121 = 81000

9. 2
B _ _ _ _ _ _ G

Now 6 letters are left for six different place
Req No. of wages = 6P6 = 6! = 720

10. 3
n(S) = Number of ways of selecting 3 balls out of 7 = 7C3 = 7!/3!4! = 35

p(E) = 35/560 = 1/16

Quant

Quant (DI )

Directions (1-5): Study the graph carefully to answer the questions that follow.

Income (in lakhs) of three companies over the years

per cent profit =(Incom – Expenditure)*100/Expenditure

1.If the per cent profit of Company A in the year 2002 was 20, what was its expenditure in that year?

(1) Rs. 250000

(2) Rs. 275000

(3) Rs. 175000

(4) Rs. 150000

(5) None of the above

2.If the expenditure of Company C in 2003 was Rs. 1.75 lakh, what was its per cent profit in that year? (rounded off to two digits after decimal)

(1) 38.29

(2) 42.86

(3) 53.41

(4) 58.64

(5) None of the above

3.What is the average Income of Company A over the years?

(1) Rs. 275000

(2) Rs. 3000000

(3) Rs. 2750000

(4) Rs. 30000

(5) None of the above

4.What is the approximate percent increase in income of company B in the year 2006 from the previous years?

(1) 28

(2) 11

(3) 17

(4) 22

(5) None of the above

5.Percent increase/decrease in income of company C was highest for which year?

(1) 2004

(2) 2006

(3) 2003

(4) 2002

(5) None of the aboves

Directions (6-10): Study the graph carefully to answer the questions that follow.

Number of students enrolled in three different disciplines in in five different colleges

6.Number of students studying B.Com. in college C forms approximately what per cent of the total number of students studying B.Com.

in all the colleges together?

(1) 39%

(2) 21%

(3) 44%

(4) 52%

(5) None of the above

7.What is the respective ratio of total number of students studying B.Sc., B.A and B.Com.in all the colleges together?

(1) 71 : 67 : 75

(2) 67 : 71 : 75

(3) 71 : 68 : 75

(4) 66 : 73 : 79

(5) None of the above

8.What is the total number of students studying B.Sc. in all the colleges together?

(1) 1825

(2) 1775

(3) 1650

(4) 1975

(5) None of the these

9.Number of students studying B.A. in college B forms what per cent of total number of students studying all the disciplines together in the college?

(rounded off to two digits after decimal)

(1) 26.86%

(2) 27.27%

(3) 29.84%

(4) 28.27%

(5) None of these

10.What is the respective ratio of total number of students studying B.Sc. in the colleges C and E together to those studying B.A.

in the same colleges together?

(1) 24 : 23

(2) 25 : 27

(3) 29 : 23

(4) 29 : 27

(5) None of these

Answers with Explanation..

1. (1) If the expenditure = x lakhs

So, 20 = (3-x)/x *100

x = 250000

2. (2) Percentage profit = (2.5 – 1.75)/1.75*100

= 42.85

3. (5)Required average = 1/6(2.9 + 3 + 3.5 + 3 +2.5 + 3.25) lakhs

= 302500

4. (3)

5. (1)

6. (5) No of students in B.Com in college C = 350

Total no of students in B.Com in all the colleges

= 425 + 475 + 350 + 400 + 225 = 1875

Required % == (350/1875)*100 = 18.66

7. (1)

8. (2)

9. (2) No of students in BA is college B = 300

No of students studying all the disciplines in college B = 300 + 325 + 475 = 11000

Required % = 300/1100X100= 27.27%

10. (4) No of Students in B.Scin college C & E together =300 +425 = 725

No of students in B.A. in college C & E together

= 350+325=675

Required ratio = 725 : 675 = 29 : 27

Data Interpretation

Directions (Q1- 5): Study the bar graph given below and answer the following questions:

The bar graph below shows the percentage break-up of the number of students who visited various tourist spots on New Year Evening.

The table below shows the total number of students in classes X, XI and XII.

Note: No Student went to more than one place.

Q1. If the ratio of girls and boys, who went to Manali from class X, was 7 : 8, then what percent of the total number of students from class X who went to a tourist spot is the number of girls who went to Manali? (approximate)

(a) 19%

(b) 23%

(d) 15%

(e) 21%

Q2. What is the difference between the number of students who did not got to any tourist spotfrom class XI and that from class XII?

(a) 19

(b) 41

(d) 21

(e) None of these

Q3. If all the students from class XII who did not go to any tourist spot, later changed their mind and went to Nainital, then calculate the % mark-up in the number of students who visited Nainital?

(a) 30%

(b) 25.5%

(d) 42.6%

(e) None of these

Q4. The number of students from class XI and XII together who visited Manali is what percent of the number of students from class X who visited Shimla, Ooty and Nainital together? (approximate)

(a) 81%

(b) 72%

(d) 77%

(e) 70%

Q5. Find the total number of students who didn’t visit any tourist spot?

(a) 152

(b) 165

(d) 150

(e) None of these

Directions (Q6-10): The following information is about the production of cars by 3 different companies from Monday to Friday in a specific week. Read the information carefully and answer the following question:–

The total production by 3 companies on Monday was 540 out of which 100/3% cars were produced by Tata. The number of cars produced by Renault on Monday is less than the cars produced by Tata on Monday by the same extent as the number of cars produced by Maruti on Monday is more than the cars produced by Tata on Monday. The difference between cars produced by Renault and Maruti on Monday is 40.

150 cars are produced by Tata on Tuesday, which is 100 less than the cars produced by the same company on Wednesday. A total of 910 cars were produced by Tata from Monday to Friday. The ratio between cars produced by Tata on Thursday to cars produced by the same company on Friday is 5 : 6.

220 cars were produced by Renault on Tuesday, which is 80 less than the cars produced by Maruti on Wednesday. A total of 570 cars were produced on Tuesday, which is 76% of the total cars produced on Wednesday. The number of cars produced by Maruti on Thursday is 200/3% more than cars produced by Tata on the same day. Total 580 cars were produced on Thursday. The number of cars produced by Maruti on Friday is same as that on Monday. 140 cars were produced by Renault on Friday.

Q6. Find the ratio between total cars produced on Monday to that on Wednesday.

(a) 18 : 29

(b) 18 : 25

(d) 3 : 5

(e) None of these

Q7. Find the total number of cars produced by Renault from Monday to Friday.

(a) 900

(b) 980

(d) 960

(e) None of these

Q8. Find the average number of cars produced per day by Maruti from Monday to Friday. (approximate)

(a) 250

(b) 220

(d) 240

(e) 230

Q9. On which pair of days out of the following, the number of cars produced by Tata is the same?

(a) Tuesday and Wednesday

(b) Wednesday and Thursday

(d) Monday and Wednesday

(e) Monday and Tuesday

Q10. On which day the total number of cars produced was the maximum?

(a) Monday

(b) Tuesday

(d) Thursday

(e) Friday

Directions (Q11-15): Study the following pie chart and answer the following question given below: –

Number of male in the organization is two times of the number of females in the organization

Q11. Number of males in Blogging, Technical and Content department together are approximately what percent more/less than the total number of females in the same departments?

(a) 85%

(b) 89%

(d) 79%

(e) 95%

Q12. Out of the total number of employees from Translation department, 30% of the employees got promoted then find the ratio of the number of employees from Translation department who get promoted to the total number of male employees in the organization ?

(a) 28600 : 1269

(b) 1170 : 28779

(d) 1269 : 28600

(e) 28779 : 1170

Q13. If one male from Faculty can do a work in 20020 days and the female from Faculty are 20% less efficient than that of male in Faculty. Find the total no. of employees from Faculty to do the same job?

Q14. Find the difference between the average number of males in all departments of the organization and the average number of females in all departments of the organization?

(a) 2860

(b) 2440

(d) 2920

(e) None of these

Q15. If some male employees from Content Department shifted to Blogging department and some female employees from Blogging departments shifted to Content departments such that total number of male employees and female employees in Content Department are same as total number of male employee and female employee in Blogging departments respectively. Now find the Average of the number of female employees from Content and male employee in Blogging department together?

(a) 4195

(b) 4185

(d) 5210

(e) Can’t be determined

Solutions