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2Mar, 2021

Quantitative Aptitude: Quadratic Equations Questions Set 72

a)p^2 -30p + 216 = 0
b)q^2 – 23q + 132 =0
p>q

p

p is less than or equal to q

p is greater than or equal to q

p=q or relationship cannot be established

Option D
p=12 , 18
q = 12 ,11
a)(p -16)^2 = 0
b)q^2 = 256
p>q

p

p is less than or equal to q

p is greater than or equal to q

p=q or relationship cannot be established

Option D
p = 16 , 16
q = 16 , – 16
a)2p^2 -14p + 24 =0
b)q^2 +30q +224 = 0

p>q

p

p is less than or equal to q

p is greater than or equal to q

p=q or relationship cannot be established

Option A
p = 3 ,4
q = -16 , – 14
a)3p^2 +20p + 33=0
b)2q^2 -13q + 21 =0
p>q

p

p is less than or equal to q

p is greater than or equal to q

p=q or relationship cannot be established

Option B
p= -3.6 , – 3
q= 3 , 3.50
a)4p^2 +8p + 3= 0
b)4q^2 – 29q + 45 = 0
p>q

p

p is less than or equal to q

p is greater than or equal to q

p=q or relationship cannot be established

Option B
p = -0.5 , -3.5
q = 2.25 , 5
a)5p^2 – 26p + 21 = 0
b)2q^2 – 17q +21=0
p>q

p

p is less than or equal to q

p is greater than or equal to q

p=q or relationship cannot be established

Option E
p= 4.20 , 1
q= 7 , 1.50
a)p^2 – 37p + 300 = 0
b)q^2 – 43q +372 = 0
p>q

p

p is less than or equal to q

p is greater than or equal to q

p=q or relationship cannot be established

Option E
p= 25 , 12
q= 31 , 12
a)2p^2 +20p +50 = 0
b)2q^2 +22q + 56 = 0
p>q

p

p is less than or equal to q

p is greater than or equal to q

p=q or relationship cannot be established

Option E
a)2p^2 +11p + 12 = 0
b)q^2 – 15q +56 = 0
p>q

p

p is less than or equal to q

p is greater than or equal to q

p=q or relationship cannot be established

Option B
p= -4 , – 1.50
q= 7 , 8
a)4p^2 + 12 p + 9 =0
b)2q^2 + 11q + 14 = 0
p>q

p

p is less than or equal to q

p is greater than or equal to q

p=q or relationship cannot be established

Option A
p= -1.5 , -1.5
q= -3.5 , -2

01

1Mar, 2021

Quantitative Aptitude: Simplification Questions Set 107

Study the following and answer the questions:
(√7744 * 66) / (203 + 149.00) = ?

17

16.50

18.00

20.25

None of these

Option B
(√7744 * 66) =5808
=5808/352
(786 * 74) / y = 1211.750
45

52

55

48

None of these

Option D
(58164 / y )=1211.750
y=48.00
18^2 + √y = 350.00
981

771

676

650

None of these

Option C
√ = 350 -324
y= 676
√3840.560 * [(501.010)^2 / 250] * 0.9870 = x * 1000
62

55

65

72

None of these

Option A
62 * (1000) * 1 = x*1000
62000 = 1000x
x=62
3√0.000001728 = ?
0.010

0.015

0.016

0.012

None of these

Option D
√[16 +(1/21)] / √[16+(21/84)] * 702/27 = ?
24

22

28

26

None of these

Option D
√(337/21) / √(1365/84) *26
(√3 + 1)^2 = x + √12 .Find the value of x?
6

5

4

8

None of these

Option C
(√3 + 1)^2=
3+2√3 + 1 = x +2√3
44616 / √x = 143*6
2704

2500

2800

2540

None of these

Option A
[(?)^11/7 / 50] = [20/ (?)^10/7]
12

10

15

20

None of these

Option B
x^3 = 1000
x = 10
79296.0 / √y = 112.00 * 12.0
3540

3481

3654

4501

None of these

Option B
√x = 79296 / 112*12
=79296/1344

02

28Feb, 2021

Quantitative Aptitude: Time, Speed and Distance Set 22

Two trains ,one from Haldia to Pritampur, and the other from Pritampur to Haldia,starts simultaneously.After they meet,the trains reach their destinations after 9 hours and 16 hours respectively.What is the ratio of their speeds?
2:3

3:5

4:3

5:7

None of these

Option C
Let trains be x and y.
(X speed):(Y speed) = square root of x:square root of y
A auto covers a distance of 36 kms at a uniform speed.Had the speed been 6 kmps less,it woud have taken one hour more for the journey.What is the original speed of the auto?
15 kmps

12 kmps

10 kmps

18 kmps

None of these

Option D
36/(x-6) – 36/x =1
(x+12)(x-18).
The speed cannot be in negative value.
Therefore,it is 18 kmps.
Two autos of same lenght are running in same direction with speed 50 km/hr and 80 km/hr.The latter one completeely crosses a person in 18 seconds.What is the length of each auto?
50 m

55 m

60 m

75 m

None of these

Option D
=80 -5 0=30 km/hr
Convert it in m/sec.
it will be 25/3 m/sec.
Then distance covered in 20 second=18 * (25/3)=150
Lenghth of each=150/2=75 m
Ramesh started his jouney on scooter at 7:30 PM at speed of 8 km/hr.After 30 minutes,Lokesh started his journey from same place with speed of 10 km/hr.At what time did Lokesh overtake Ramesh?
9:30 AM

10 AM

9 AM

8:30 AM

None of these

Option B
Relative speed=10 -8=2
Distance covered in 30 min=8*(30/60) = 4 km
Lokesh take time to overtake Ramesh= 4/2 = 2hour
=8+2=10 AM
Rahul recahes a certain destination in 30 hours.If he reduces his speed by 1/10 th,he goes 9 km less in that time.Find his speed?
3 kmph

4.5 kmph

5 kmph

6 kmph

None of these

Option A
Let x be the speed.
30x – (30 *9/10)x =9
30x-27x=9
3x=9
x=3 kmph
Akansha travels equal distamces with speeds 4kmph , 6 kmph and 8 kmph and takes a total time of 52 minutes.What is the distance Akansha travelled?
4 km

4.8 km

5 km

5.5 km

6 km

Option B
(x/4) + (x/6) + (x/8) =52/60
x= 1.6 km
Distnce=3*1.6 4.8 kms
Without stopping ,the speed of train is 120 kmph.With stopping,the speed of train is 80 kmph.Then find the stop time of the train?
25 min

20 min

30 min

35 min

None of these

Option B
=(120-80) /120 = 1/3
1/3 *60=20 min
Two trains meet each other at 20 kmph and 24 kmh from two destinations 240 km far.Then after how many hours will they meet?
4.5

4

5.45

6.5

None of these

Option C
20x+ 24x =240
x =5.45
2 trains travelling in same direction with 60 km/hr and 75 km/hr respectively.The faster train crosses a person sitting in slower train in 30 seconds.Then find the lenght of faster train?
100 m

125 m

130 m

145 m

None of these

Option B
=15*5 / 18*30
Tanya goes to college from her home at speed of 4 km/hr and returns at a speed of 6 km/hr.If in total she took 5 hours in going and coming back,what is the distnace between her home and college?
10 km

12 km

15 km

20 km

None of these

Option B
5 = D/4 + D/6
D=12 km

03

24Feb, 2021

Quantitative Aptitude: Ratio and Proportion Questions Set 9

Number of persons in 9th and 10th class is in ratio of 6:11.40% in class 9th are females and 48% in class 10th .What percentage of persons in both the classes are males?
54.80%

63.50%

55.50%

59.25%

None of these

Option A
Total persons=6x+11x=17x
Males in class 9th=(60/100)*6x=360x/100
Males in class 10th=(52/100)*11x=572x/100
Sp total persons-=360x/100 + 572x /100
Consider two alloys X and Y.50 kg of alloy X is mixed with 70kg of alloy Y. X contains bronze and aluminum in ratio 3:2 , and Y contain them in ratio 4:3 respectively.What is the ratio of aluminium to bronze in the mixture?
2:5

3:4

5:7

1:5

None of these

Option C
Bronze in X=3/5 *50=30
Bronze in Y=4/7*70=40
tOTAL Bronze=30+40=70
So luminum in mixture is (50+70) -70=50 kg
So aluminum to brass is 50:70
Two alloys contains aluminum and copper in ratio 3:7 and 7:3 respectively.In what ratio these alloys must be mixed with each other so that we can get a alloty of aluminnum and silver in ratio of 2:3?
2:5

3:4

3:1

1:2

None of these

Option C
Aluminum =3/10 and copper =7/10 – first vessel
Aluminum =7/10 and copper=3/10-scond vessel
Let the alloy mix be k:1,
(3k/10 +7/10) / (7k/10 +3/10) = 2/3
If 40% of number is subtracted from the second number then the second number is reduced to 3/5.Fi d the ratio between first number and second number ?
1:2

1:8

1:5

1:1

None of these

Option D
A company TCS reduces hs employee in ratio 14:12 and increases his wages in ratio 16:18 .Detrmine whetehr bill of wages increaes or not and in what ratio?
Decreaese and 24:22

Increaese and 25:26

Decreases and 28:27

Increeses and 27:95

None of these

Option C
A vessel contins X and Y in ratio 4:5. 36 litres of mixture is taken out and and filled with 36 litre of Y.Now the ratio changes to 2:5.Find the quantity of Y initially?
54 l

56 l

58 l

60 l

65 l

Option B
Let X=4x and Y=5x
Now X=4x-36*4/9
Y=5x-36*5/9
Ratio between X and Y=2:5
50 litres of the mixture contains coke and water in ratio of 2:3.Hiw much cock should be added to mixture so that it contins coke and water in proportion of 3:2?
35 l

30 l

25 l

22 l

None of these

Option C
=(20+x)/30 =3/2
Two alloys contain aluminum and silver in ratio of 1;2 and 1:3 respectively.A third alloy Z is formed by mixing alloys one and alloys two in ratio 3:4.Find the percentge of silver in the mixture?
71.3/7%

72.5/8%

75.5/8%

71.5/4%

None of these

Option A
Aluminum =1/3 and 1/4
Silver=2/3 and 3/4
Therefore,silver perentage =(5/7)*100
Two diyas of same height are lighted at same time,The first is consumed in 6 hours and second in 4 hours.Assuming that each diyas burns at a constant rate,in how many hours after being lighted,the ratio between the first and second diyas becomes 2:1?
1 hours

3 hours

2 hours

4 hours

None of these

Option B
Let height be h and let after t times ratio between height 2;1
=h-t*h/6 : h-t*h/4 =2:1
t=3
The ratio of two numbers is 3:4.If three is subtracted from both numbers,the ratio becomes 1:2.What is the sum of two numbers?
15

12

10.5

10

None of these

Option C
(3x-3)/(4x-3)=1/2

04

23Feb, 2021

Quantitative Aptitude: Mensuration Questions Set 13

Four goats are tehtered at 4 corners of a square field of side 60 metres so that they just cannot reach one another.Find the area left ungrazed by the goats?
650 m

680 m

771 m

750 m

None of these

Option C
Lenght=60/2=30 m
Total area =22*30*30/7
Ungrazed area=Area of square field – area covreed by 4 goats
=3600 – 2829
If the sides of a traingle measures 64 cm , 72 cm and 20 cm,what is the measure of its radius?
6 cm

5 cm

9 cm

8 cm

Noe of these

Option D
Radius=64 *20 /64 + 72 +20 = 1280 / 156 = 8.20 cm
the width of a rectangle is 10 meters and its area is 120 square metre.If length of the rectagle is increased by 6 cm,what is the new perimeter of the rectangle?
42 cm

48 cm

45 cm

50 cm

56 cm

Option E
lenght=120/10 = 12
then,12+6=18 cm
P=2(l+b) = 2(10+18)=56 cm
What will be the cost of painiting a room whose area is 300 square metre ,if the rate of painiting per square metre is Rs 24?
Rs 1250

Rs 1540

Rs 1548

Cannot be determined

Nnone of these

Option D
Room shape not given and its parameter not given
If the length of rectangle is increased by 20 percent,by what percent should width be reduced to maintain same area?
10.25

12.50

13.35

16.66

None of these

Option D
Let l=100 and b=100
New l=120
Therefore,100*100=120*b
b=250/3
Percentage decrease =100-250/3
A rectangular gardenn is 30 m long and 20 m broad.It has 6 m wide pavements all around it both inside and outside.Find the total area of pavements?
1600 cm

1425 cm

1500 cm

1200 cm

None of these

Option D
Area=42*32 – 18*8
=1344 -144
The radius of a wheel of a truck is 70 cm.How many revolutions per minute the wheel will make in order to make speed of 66 km/hr?
260

255

250

275

280

Option C
Distance in 1 minute =66*(100/60)=1100 m
Circumference =2 *22/7 * 0.70 = 4.4 m
No of revolutions=(1100/4.40)
What is the volume of a cyclinder whose curved surface area is 700 cm^2 and height is 14 cm?
2816

2754

2984

2800

None of these

Option A
2*pie*r*h=700
2*3.14*r*14=700
r=7.96 = 8
Then,Volume=pie*r^2 * h
A hall has floor size of 15*6 sq cm.What is the height of the hall if the sum of the areas of base and roof is equal to sum of areas of four walls?
3.25

3.54

4.29

5.02

None of these

Option C
2lb=2h(l+b)
h=l*b / l+b
A goat is thetered to a cow with 16 cm long rope at corner of 31 cm long and 27 cm wide recatngular grass field.What area of field wll goat graze?
200.0

201.1

205.25

206.50

None of these

Option B
Area=(22*16*16/7)/4

05

22Feb, 2021

Quantitative Aptitude: Profit and Loss Set 25

Rashi sold an item for Rs 8400 and sold it for a loss of 5%.From that money,he purchased another item and sold it for a gain of 5%.What is the overall gain or loss?
Profit of Rs 25

Loss of Rs 25

Loss of Rs 21

Profit of Rs 21

None of these

Option C
CP=Rs 8400
SP=8400 * 95 / 100 =Rs 7980
CP=Rs 7980
SP=7980 * 105/100=8379
Difference=Rs 21
A vendor sells two packets for Rs 500 each.On one,he gets 14% profit and on the other he gets 14% loss.What is his entire profit or loss in the transaction?
Gain 30/55 %

Loss 49/25%

Gain 69/25%

Cannot be determined

None of these

Option B
If the CP of 25 items is equal to the SP of 20 items,then find the profit percent?
40%

20%

25%

30%

None of these

Option C
Profit perent=(5/20) *100
A vendor sold a TV for Rs 15000.Had he offered a dicount of 10% on the selling price,he would earned a profit of 8%.What is the cost price of that TV?
Rs 13000

Rs 13500

Rs 12500

Rs 14500

None of these

Option C
SP of TV=Rs 15000
D=10%
New SP=15000-1500=Rs 13500
P=8%
CP=13500*100/108
Prachi sold a item to Shivani at profit of 30%.Shivani sold this item to Akansha at loss of 20%.If Prachi paid Rs 5000 for this item,then find th cost price of item for Akansha?
Rs 5000

Rs 6500

Rs 5200

Rs 6800

None of these

Option C
A shopkeeper earns a profit of 20% by selling a basket containing 80 mangoes whose cost is Rs 240 but he gives 1/4th of it to herfriend at cost price and sells the remaing mangoes.In order to earn the same profit,at what price must he sell each orange?
Rs 4.50

Rs 4.60

Rs 5.00

Rs 3.80

None of these

Option D
CP of 80 mangoes=Rs 240
CP of 1 mango=Rs 3
Cp of 20 mangoes=Rs 60
120% of 240=288
SP of remaing 60 mangoes=288-60
Sp of 1 mango=228/60=Rs 3.80
the cost of two Tvs is same.One is sold at a profit of 20% and the other for Rs 5200 more than the first.If the net profit is 40%,find the cp of each tv?
Rs 13000

Rs 12500

Rs 14000

Cannot be determined

None of these

Option A
Let Cp of each Tv BE Rs x
Threfore,(2*1.20*x) +5200= 2*1.4 * n
=13000
A reductio of 20% in the price of rice enables him to purchase 6 kg more for Rs 240.What is the original price per kg of rice?
Rs 10/kg

Rs 15/kg

Rs 25/kg

Rs 30/kg

None of these

Option A
Reduction in price=1/5=20%
Increae in quantity=25%
25%==6
Orginal amout=6*4
Original price of rice=240/24=10 per kg
Priyanka and Shivani invested some amount of money in ratio 3:5 for he same period in the business.They decided that at end of year 20% profit was to be given to a NGO as donation.Out of the remainng,75% was to be reinvested and the rest of the rpofit was to be divided as intrest on their capitals.If the difference in their share is Rs 2400,what is the total profit?
Rs 45000

Rs 40000

Rs 48000

Rs 62000

Rs 58000

Option C
Let the total profit=Rs 100
Amount left=Es 50
Amount left aftr investent=Rs 20
5x/8 -3x/8 = 2400
x=Rs 9600
1/5 of y=9600
y=Rs 48000
Rakesh sells 15% by seling an item for a certain price.If he sells it at double the price,then what will be the percentage of profit?
110%

100%

90%

130%

None of these

Option D
Let CP=Rs 100
Gain =Rs 115
SP=Rs 230
Therefore,P=130

06

22Feb, 2021

Quantitative Aptitude: Number Series Set 145

12 , 8 , 16 , 48 , 184 , ?
850

860

840

780

None of these

Option B
12*0.5+2=8
8*1.5+4=16
12 , 19 , 33 , 61 , ? , 229
119

125

117

132

None of these

Option C
5 , 12 , 33 , 136 , 675 , ?
4050

4056

3570

4580

None of these

Option B
5*2+2=12
12*3-3
33*4+4
20 , 10 , 12 , 24 , 75 , ?
345.5

335.5

330.5

325.5

None of these

Option D
20*0.5-0
10*1.5-3
12*2.5-6
24 , 28 , 40 , ? , 88 , 124
50

60

55

65

None of these

Option B
24+4=28
28+4*3=40
19 , 23 , 40 , 70 , 113 , ?
177

180

169

175

None of these

Option C
20 , 39 , 74 , ? , 262 , 499
142

145

139

150

Nne of these

Option C
20*2-1^2
39*2-2^2
14 , 12 , 28 , 78 , 320 , ?
1600

1620

1590

1540

None of these

Option C
14*1-2
12*2+4
12 , 6.5 , 7.5 , 12.75 , 27.5 , ?
72.00

71.25

75.00

74.25

None of these

Option B
12*0.5+0.5
6.5*1+1
18 , 22 , 35 , 121 , 459 , ?
2514

2500

2331

2505

None of these

Option C
18-1+4
22*2-9

07

17Feb, 2021

Quantitative Aptitude: Data Interpretation Questions Set 152

Study the following and answer the questions:
There are two colleges,one is old and one is new.Both colleges have four different type of sections-Adminstration , Marketing , Accounts and HR.In old college,there is a total of 300 persons.The new college has 20% fewer persons than old one.15% of the persons of the old college is in the administration section.One third of the total persons of the old college is in the marketing section.25% of the persons of the old college is in the accounts section.The remaining persons of the old college are in the HR section.The total number of persons in the administration section in both colleges is together 80.Thrity five percent of the number of persons in the new college is in the marketing section.Twenty percent of the total persons of new college is in the accounts section.The remaining persons of new college are in the HR section.

Find the difference in the number of persons in the HR section in old and new college?

7

5

6

8

None of these

Option A
OLD COLLEGE:
Total persons=300
Admin section=300*(15/100)=45
Marketing section=300*1/3=100
Accounts section=300*25/100=75
HR section=300-(45+100+75)=80
NEW COLLEGE:
Total persons=300*80/100=240
Admin=80-45=35
Marketing=240*(35/100)=84
Accounts=240*(20/100)=48
HR=240-(35+84+48)=73
Answer:
Persons in HR section in old college=80
Persons in HR section in new college=73
Difference=80-73=7
Find the ratio of the number of persons in the administration section in old college to the number of persons in accounts section in new college?
12:17

9:10

15:16

21:23

None of these

Option C
Ratio=45:48
Find the sum of number of persons in the marketing section in both colleges?
194

174

190

184

172

Option D
The number of persons in accounts section in new college is what percent less than the number of persons in same section in old college?
32%

18%

36%

25%

None of these

Option C
=27/75 * 100
Find the average numbe rof persons of administration,accounts and HR section in new college?
64

59

45

48

52

Option E
=35+48+73 / 3
Study the following and answer the questions:
The total number of classes in school P,Q and R is 40 , 25 and 630 respectively.the population in school P,Q and R is 20000 , 12000 and 15000 respcetively.The number of students who went ot the class from school P is 8% of the total population.Turnover for school Q is 27 lakhs and turnover for school R is 15 lakhs less than turnover of school P.Cost of plates per student in school P,Q and R are 150 , 300 and 180 respectiely.
(TURNOVER=(Number of students who visited classes)*(Number of Classes) *(Per student plate cost)

Find the total turnover from all theschool P,Q and R?

190 lakhs

204 lakhs

215 lakhs

220 lakhs

195 lakhs

Option B
What is the ratio of students visted school P to the students visited school R?
10:11

16:15

11:23

12:23

None of these

Option B
The Plate cost of Q is what percent of plate cost of R’s?
33.33%

24.95%

100%

166.66%

Nnone of these

Option D
The population of school P is what percent more than population of school Q?
64%

51%

66.66%

34%

Nnone of these

Option C
Find the total turnover of school R ,if plate cost of school R is 200 in place of 180?
75 lakhs

85 lakhs

90 lakhs

110 lakhs

None of these

Option C

08

12Feb, 2021

Quantitative Aptitude: Mixture and Alligation Questions Set 13

A container contains 192 lites of juice.A seller draws out x % of jiuice and replaced it with same quantity of water.He repeated the same process for three times.And juice content in mixture in only 81 litres.Then how much percent he withdrew every time?
15%

20%

25%

35%

None of these

Option C
81 = 192(1-x)^3
x =25 %
A container contains 30 l mixture of milk and water in ratio p:q respectively.When 10 litres of mixture is taken out and replaced with water,then ratio becomes 2:3.Then what is the initial quantity of milk in the container?
12 l

20 l

15 l

18 l

None of these

Option D
p+q=30
(p-10*p/p+y) / (q-10*q/(p+q)+10) = 2/3
2p-4/3q = 20
“P” litres of mixture contains milk and water in ratio 4:3.If 13 litres of water is added then ratio becomes 1:1.Then what is the final quantity of water in the mixture?
48

40

52

42

Nnone of these

Option C
4p/3p + 13 = 1
p=13
Water=3p+13=3*13+ 13 = 52 l
Mani covered 180 km in 10 hours.The first part of his jounrney he covered by car,the he hired a auto.The speed of the car and auto is 25 kmph and 15 kmph respectively.The ratio of the distances covred by the car and and auto is what?
1:4

7:5

7:3

9:7

None of these

Option B
Average speed=180/10 = 18 kmph
Ratio of time taken=7:3
Ratio of distaces= 7*15 : 3*25
The ratio of paticle P and Q in container is 3:2 when 10 litres of mixrure is taken out and is replaced by the particle Q ,the ratio becomes 2:3.The total quantity of the mixture in the container is which of the following?
20 l

30 l

25 l

35 l

None of these

Option B
Intital=3:2
After replacemeny=2:3
2/3 = (1-10/)
The price of a pencil and pen is Rs 60.The pencil was sold at 40% profit and the pen at a loss of 10%.If the seller gains Rs 4 in whole transaction,then how much is the cost price of pencil?
Rs 30

Rs 15

Rs 20

Rs 25

Nnone of these

Option C
40x/100 – 10(60-x) / 100 = 4
40x +10x = 400 + 600
x =20
In a school lab,two solutions A with 90 percent purity and B with 96% purity are mixed resulting in 24 litres of mixture of 92% purity.How much is the qunatity of first solution,A in the resulting mixture?
16 l

14 l

12 l

10 l

None of these

Option A
90x + (24-x) * 96 =24*92
A container is filleed with liquid,four parts of which are water and 5 parts syrup.How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
1/8

1/10

1/20

1/15

None of these

Option B
(4-(4x/9)+x)=(5-(5x/9))
x=9/10
So,9/10 * 1/9=1/10
Wheat worth Rs 126/kg and Rs 134/kg are mixed with a third variety in ratio 1:1:2.If the mixture worth Rs 177/kg,the price of thrid per variety will be whihc of the following?
220

225

252

224

None of these

Option D
A container contains 50 litres of milk.10 litres of this milk is takne out and replaced with water .this is repeated twice.Find the amount of remianing milk in mixture?
33 1/9 l

200/9 l

128/5 l

29 2/3 l

None of these

Option C
=50(1-(10/50))^3

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8Feb, 2021

Quantitative Aptitude: Ratio and Proportion Questions Set 8

A college has 4 sections of B.com students,such that half of the number of students of first section ,1/3rd of second section and 1/5th of the 4th section are equal.If total number of students in bcom is 420,find the number of students in section 1st and 2nd?
120

150

140

160

None of these

Option B
Let number of sudents in 4 sections be a,b,c and d respectively.
1/2 of a=1/3 ofb=1/4 of c=1/5 of d
Therefore,a:b;c:d=2:3:4:5
So students in first and second section=[(2+3)/(2+3+4+5)]*420=150
The ratio of the incomes of Akansha and Brijesh last year was 9:13.The ratio of their incomes of last year to this year is 9:10 and 13:15 respectively.The sum of their preset incomes is Rs 50000.What is the present income of Brijesh?
Rs 35000

Rs 65000

Rs 14500

Rs 30000

None of these

Option D
Ratio of income of Akansha and Brijesh last year is 9x:13y.
9x/13y=9/13
This gives x=y.
Total incomes of Akansha and Bnaya lasy ear-10x+15y=10x+15x=25x
25x=50000
x=2000
So income of Brijesh=15y=15x=15*2000=Rs 30000
A amount of Rs 315 consists of 25 paise,50 paise and 1Rs coins in ratio 3:4:6.What is the number of each kind of coin respectively?
100 , 150 , 160

108 , 144 , 216

106 , 108 , 115

15 , 118 , 120

None of these

Option B
Rs 650 was divided among 3 students in ratio 2:4:7.Had it been divided in ratio 1/2 : 1/4 : 1/7.Who would have gained the most and by how much?
x and Rs 282

Y and Rs 250

Z and Rs 270

X and Rs 264

None of these

Option D
New ratio=1/2 :1/4:1/7=14:7:4
With ratio 2:4:7,X gets=[2/2+4+7] *650 = Rs 100
Y gets Rs 200
With ratio 14:7:4,X gets [14/14+7+4]*650=364
Y gets 182.
=364-100=264
Divide Rs 2340 into 3 section,such that first section be double that of second section and second section be 1/3 of the third section.Find the third section amount?
Rs 1120

Rs 1300

Rs 1170

Rs 1450

None of these

Option C
Ratio =2:1:3
Third section=3 * 2340 / 6=1170
There are 2 numbers.When 25 percent of first number is added to the second number,the resultant nuber is 1.5 times of first number.What is the ratio of first number to 2nd number?
3:5

4:5

2:3

1:2

None of these

Option B
x+25/100 + Y =1.5X
X/4 + y= 15x/100
10X+40Y/40 =60Y/40
50X=40B
X/Y=4/5
Mani spends Rs 2480 to buy clothes for Rs 120 each and tables at Rs 80 each,What will be the new ratio of maximum number of tables to clothes are bought?
15:18

10:12

13:12

Cannot be determined

None of these

Option C
13*80 + 12*120 = 1040 + 1440
A city with a population of 1000 has provision for 30 days,after 10 days 600 more women added ,how long will the food last at the same rate?
14 days

12 1/2 days

13 days

15 days

None of these

Option B
1000 * 20 / 1600
The sum of 3 numbers is 123.If ratio between 1st and 2nd number is 2;5 and that between 2nd and 3rd is 3;4,find the difference between 2nd and 3rd number?
12

10

15

9

None of these

Option C
x:y:z=6:15:20
41x=123
x=3
The ratio between two numbers is 7:5.If 5 is subtracted from each of them,the new becomes 3:5.Find the numbers?
4/3 and 1/2

7/2 and 5/2

8/7 and 1/5

9/5 and 1/5

Nnone of these

Option B
(7a-5)(5a-5)=3/5
a=1/2

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