Alligation

1. In what ratio rice at Rs. 76kg mixed with rice at kg so that mixtures cost becomes 2250 Rs./
Rs. 64 kg so that mixture cost becomes Rs. 72 kg. Find value of x.
kg.
2500 X
76 64

x

72 (A) 1500 kg (B) 1550 kg

(a) 2 : 3 (b) 3 : 2 (C) 1700 kg (D) 1650 kg

(c) 2 : 1 (d) 1 : 2 6. An alloy is made up by mixing 9 kg metal A

2. In what ratio should coffeee powder costing costing X Rs./kg and 3 kg metal B costing 400

Rs. 2500 per kg be mixed with coffee powder Rs./kg So that mixture Cost becomes 800 Rs./

costing Rs. 1500 per kg sothat the cost of the kg what is the value of x.

mixture is Rs. 2250 per kg.?

XA

B

X

(A) 1 : 4 (B) 4 : 1 (A) 2500 Rs./kg (B) 2000 Rs./kg

(C) 3 : 1 (D) 1 : 3 (C) 1900 Rs./kg (D) 4000 Rs./kg

3. In what ratio sugar at Rs. 65 kg mixed with sugar 7. Saurav purchased 25kg rice at Rs. 175 kg and

at Rs. 57 kg so that vendor get 15% profit on another 25 kg rice at certain rate. He mixed two

selling it for Rs. 69. and sold the entire quantity at Rs. 186kg and

make 20% profit. At what price did the purchase

65 67 another rice.

`
69

(a) 3 : 4 (b) 3 : 5 %
(c) 5 : 3 (d) 4 : 3

4. In what ratio tea at Rs. 240 per kg. should be

mixed with tea at Rs. 280 per kg. so that on (a) Rs. 145 kg (b) Rs. 125 kg

selling the mixture at Rs. 324 per kg. there is (c) Rs. 155 kg (d) Rs. 135 kg
a profit of 20%?

8. 7 kg of tea costing Rs. 280 per kg is maixed

with 9 kg of tea costing Rs. 240 per kg. The

average price per kg of the mixed tea is

(A) 1 : 1 (B) 1 : 2

(C) 1 : 3 (D) 1 : 4 (A) Rs. 255.80 (B) Rs. 257.50
(C) Rs. 267.20 (D) Rs. 267.50
5. 15 kg coffee powder costing 2500 Rs./kg
mixed with 5 kg coffee powed costing X Rs./

1

9. An alloy is made by mixing metal A costing 13. In a class, the average marks of boys and girls is

Rs. 2000/kg. and metal B costing Rs. 400/kg A. The ratio of boys and girls is 3 : 1. If the

in the ratio A : B = 3 : 1. What is the cost (in average marks obtained by boys is A + 1 then

Rs. ) of 8 kilograms of this alloy? find the average marks obtained by girls?

A A
B
3:1

A+1

(A) 1600 (B) 9800 (a) A + 3 (b) A + 1

(C) 6400 (D) 12800 (c) A + 2 (d) A – 3

(e) None of these

10. The liquids, X and Y mixed in the ratio of 3 : 2 14. 16 children are to be divided into two groups A
and the mixture is sold at Rs. 11 per litre at a and B consisting of 10 and 6 children. The

profit of 10%. If the liquid X costs Rs. 2 more average per cent marks obtained by the children

per litre than Y, the cost of X per litre is (in of Group A is 75 and the average percent marks

Rs.) of all the 16 children is 76. What is the average

X Y 3:2 percent marks of children of Group B?

XY AB
XA

(A) 10.80 (B) 11.50 B

(C) 9.50 (D) 11

11. Average marks obtained by all students in a class (a) 78 1
is 49.85. If the average marks obtained by pass (b) 77
students is 73.85 and failed studentsis 28.85. 1
What is the ratio b/w pass to fail students. (c) 78 3

49.85 3 2
(d) 77

3

73.85 15. The average age of 95 student in a class is 16.8
yr if average age of boys 17.4 yr & average age of
28.85 girls 16.4. Find number age of boys.

(a) 8 : 7 (b) 7 : 8 95 16.8
(c) 9 : 2 (d) 5 : 3 16.4
17.4

12. The average of marks obtained by 120 candidates (a) 48 boys (b) 32 boys

in a certain examination is 35. If the average (c) 38 boys (d) 42 boys
marks of passed candidates is 39 and that of the
failed candidates is 15, what is the number of 16. In a school, the average age of students is 6 years,
and the average age of 12 teachers is 40 years.
candidates who passed the examination?
If the average age of the combined group of all

the teachers and students is 7 years, then the

number of students is

(a) 100 (b) 120 (a) 396 (b) 400
(c) 140 (d) 160 (c) 408 (d) 416
(e) None of these (e) None of these

2

17. The average salary of the entire staff in a office 21. 16 children are to be divided into two groups

is 12000 per month. The average salary of A and B consisting of 10 and 6 children. The

officers is 46000 and that of non-officers is average per cent marks obtained by the
11000. If the number of officers is 15, then find children of Group A is 75 and the average
the number of non-officers in the office. percent marks of all the 16 children is 76. What

is the average percent marks of children of

Group B?

16 AB A
10 6 16

(a) 610 (b) 510 75
76 B
(c) 410 (d) Can't be determined

(e) None of these

18. The average income of 40 persons is Rs. 42000 (a) 78.2/3 (b) 77.1/3
and that of another 35 persons is Rs. 40000. (c) 78.1/3 (d) 78.2/3
The average income of the whole group is (e) None of these

(a) Rs. 4,1000 1 22. In a school, the average age of students is 6
(b) Rs. 4,1060 years, and the average age of 12 teachers is 40
years, If the average of the combined group of
3 all the teachers and students is 7 years, then
the number of students is

2 1
(c) Rs. 4,1066 (d) Rs. 4,1080

3 3

19. The bowling average of a bowler in a certain (a) 396 (b) 400
inning 24.85 in his next inning he takes 5 wickets (c) 408 (d) 416
& gives 52 runs & his average improved by .85 (e) None of these
then find number of wicket taken by him before
last match.

24.85 23. The average runs scored by a batsman in 7
52 5 matches is 53 and inother 9 matches the av-
.85 erage is 33. What is the average runs scored
by the batsman in 16 matches?

(a) 85 wickets (b) 90 wickets

(c) 65 wickets (d) 80 wickets

20. Bowling average of bollar in certain inning was (A) 41.75 (B) 44.25
12.4 runs per wicket. He gives 26 runs and takes

5 wicket in next match after which his average (C) 47 (D) 49.175

becomes 12 per wicket. How many wickets had

been taken till the last match? 24. The average runs conceded by a bowler in 5
matches is 45 and 15.75 in other 4 matches.

What is the average runs conceded by the

bowler in 9 matches?

(a) 85 (b) 90 (A) 15 (B) 32
(c) 65 (d) 72 (C) 35 (D) 53.5
(e) None of these 3

25. A fruit seller has 108 kg fruits he sales some at 10% loss. Find cp of each cow if he earn
quantity at 28% profit & remaining quantity at profit of 3.75%.
8% loss on the wholesale he 17% profit find the
quantity sold by him at 28% profit. ` %
%
108 %
8%
28%
17%
28% (A) ` 10,000 (B) ` 85,000

(C) ` 82,500 (D) ` 1,15,000

(a) 75 kg (b) 54 kg 30. A man purchased 2 chair and 3 Tables for `

(c) 65 kg (d) 80 kg 24000. He sells chair at 20% loss and Table at
25% profit during whole sale he get profit of
26. A man buys two horses for ` 155000. He sell 2400 `. Find cp of each chair.
one at the loss of 23% and other at a gain of

27%. On the whole sale he get neither profit % %
nor loss. Find price of first horse.

` %
%

(A) ` 4200 (B) `4250

(C) ` 3950 (D) ` 4000

(A) ` 83700 (B) ` 80700 31. A man buy 20 pens and 16 pencils for ` 360.

(C) ` 81700 (D) ` 82700 He sells pens at profit of 40% and pencil at
profit of 25% his overall gain is ` 120. Find cp
27. A man bought a horse and a carriage for Rs. of one pen.
40,000. He sold the horse at a gain of 10% and
the carriage at a loss of 5%. He gained 1% on ` %
his whole transaction. The cost price of the %
horse was:
`

(A) ` 15 (B) `12

(C) ` 10 (D) `18

32. A person sells his table at 25% profit and chair

(A) Rs. 15000 (B) Rs. 16000 at 20% loss but on whole sale he get net profit
of ` 180. If he sells table at 20% loss and chair

(C) Rs. 18000 (D) Rs. 20000 at 25% profit he get neither profit nor loss.

28. Aman bought 2 fast rack & 3 Casio watch for Rs. Find cp of table.

18700. He sold fast rack watch at 12% profit & %

Casio watch at 10% loss on the wholesale he get % `

neither profit nor loss find cost price of 1 fast %
rack & 1 Casio watch. %

2 3 18700
10% 12%

(A) ` 2250 (B) ` 2000
(C) ` 1850 (D) ` 1600

(a) 5250, 3500 (b) 3400, 4250 33. A man sells a table at 15% profit and chair at
(c) 4250, 3400 (d) 3500, 5250 12% loss he earn 540 ` as profit but if he sells
table at 12% loss and chair at 15% profit there
is no profit no loss. Find cp of table & chair.

29. A man purchase 10 horses and 9 cows for ` %
20,0000. He sold horses at 15% profit and cows

4

% ` on first two types and earn 15% profit on all
% three types. Find number of pens in all three

% types.

%% %

(A) 11000, 9000 (B) 10000, 8000 %
(C) 12000, 7000 (D) 9000, 6000
%

34. A man sells of fastrack watch at 13% profit (A) 300, 100, 160 (B) 300, 110, 150
and casio watch at 9% profit earn 1060 ` as

2 (C) 350, 100, 110 (D) 200, 150, 210
profit. If he sells fastrack at 16 3 % profit and 37. A grocer sells two types of sugar. He sells first

1 2
CASIO watch at 11 9 % loss he get no profit no type 77 `/kg and get 16 3 % `% profit where

loss. Find cp of fastrack and CASIO watch. as IInd type at 43.2 `/kg and get 10% loss. In
what proportion should he mixed two variety

% so that he get 10% profit on selling mixture at
% ` 60.50 `/kg.

2 2
16 3 % 16 3 %

1 ` ` %
11 9 % IInd

`%

(A) 4000, 6000 (B) 3000, 6000 (A) 2 : 1 (B) 2 : 3

(C) 5000, 4000 (D) 2250, 3750 (C) 3 : 2 (D) 7 : 11

35. A man purchased 450 pens of 3 types & sells 38. Krishna purchased a number of articles at Rs.

such that he earned profit of 9%, 10% and 12% 10 for each and the same number for Rs. 14

respectively on each type. He earn profit of each. He mixed them together and sold them

for Rs. 13 each. Then his gain or loss percent

3 is

9 % on first two types and 10% overall profit

7

on all types. Find number of pens in all three
types.

%% % 1 2
3 3
3 (A) Loss 8 % (B) Gain 8 %

97 %

% (C) Loss 8 2 % (D) Gain 8 1 %
3 3

(A) 250, 100, 100 (B) 200, 150, 100 39. Saurav purchased 25kg rice at Rs. 175 kg and
another 25 kg rice at certain rate. He mixed two

(C) 175, 150, 125 (D) 200, 100, 150 and sold the entire quantity at Rs. 186kg and
36. A man has 560 pens of 3 types & sells such make 20% profit. At what price did the purchase
another rice.

that he earn profit of 12%, 16% and 20% `
respectively on each type. He earn 13% profit

5

%

%

(A) 4 : 5 (B) 5 : 4

(a) Rs. 145 kg (b) Rs. 125 kg (C) 9 : 7 (D) 7 : 9

(c) Rs. 155 kg (d) Rs. 135 kg 44. Population of a town was 96000. In a year with

40. Nikita bought 30 kg of wheat at the rate of Rs. increases in population of males by 8% and

9.50 per kg and 40 kg of wheat at the rate of females by 5% the population of town becomes

Rs. 8.50 per kg and mixed them. She sold the becomes 102720. What was the number of

mixture at the rate of Rs. 9.90 per kg. Her to- males in that town.

tal profit or loss in the transaction was: %%

(A) 42500 (B) 62500

(C) 53750 (D) 64000

(A) Rs. 2 Loss (B) Rs. 2 Profit 45. A man spends 70% of his income his income

(C) Rs. 7 Loss (D) Rs. 7 Profit increases by 24% and expenditure also

41. A man invest 80000 ` in two schemes which increases by 15%. Find net percent increase
offers 8% p.a and 6% p.a respectively at the in his saving.

end of three years he received 18000 ` as %

interest then Find money invested in 8% p.a. % %

% ` (A) 35% (B) 42%
%
% (C) 45% (D) 52%
(A) 20,000 ` `
(C) 57500 ` 46. A man spends 60% of his income. His income
(B) 22200 ` increases by 15% and expenditure increases
(D) 60000 ` by 5%. Find percentage increases in his saving.

42. A part of ` 150,000 was lent at 10% p.a and %

rest at 7% p.a. simple interest total interest % %

earned at the end of 5 years was ` 60000. Find

the money lent at 7% p.a. (A) 30% (B) 15%

` (C) 20% (D) 25%
%%

` 47. A man expenditure and savings are in the 5 : 2

% his income increases by 12% and expenditure

(A) 100000 (B) 50000 increases by 14%. What is the net % increases
in his saving.

(C) 78270 (D) 83700 %

43. In a certain year the population of a town was %

45000. In next year population of males %

increases increases by 5% and females by 8% (A) 7% (B) 17%
and total population increases to 48000. Find

ratio b/w number of males and females in that (C) 3% (D) 8%

town. 48. In an alloy P 80% is Copper and rest is Zinc. In

another alloy Q 85% is Copper and 12% is Zinc.

% In what ratio both alloy mixed to formed alloy

6

R. So that % of Zinc becomes 15%. %%

P% %%

Q% %

% (A) 20 gm (B) 22.5 gm

% (C) 25 gm (D) 27.5 gm

(A) 5 : 3 (B) 7 : 3 53. In 248 gm sugar solution percentage of sugar

(C) 3 : 5 (D) 2 : 3 is 37%. How much quantity of sugar should be

49. Alloy P contains 70% Copper 10% Zinc and added so that percent of sugar becomes 44%.

rest alloy Q contains 84% Copper and 4% Zinc %

in what ratio should both alloy mixed so that

newly formed alloy R contains 6% Zinc. %

P% % (A) 38 gm (B) 35 gm
Q% %
(C) 32 gm (D) 31 gm
%
% 54. In 540 ml sugar solution the percentage of
(A) 2 : 1 sugar is 33%. How much quantity of water
(C) 3 : 4 (B) 1 : 2 should be added so that percentage of sugar
(D) 4 : 5 becomes 27%.

50. Alloy P contains 76% Tin and 20% Zinc and %

alloy Q contains 84% Tin and 12% Zinc both

alloy melted together to formed alloy R which %

contain 15% Zinc. Then find % of Tin in new (A) 95 ml (B) 115 ml
alloy R.

P% % (C) 120 ml (D) 135 ml

Q% % 55. In 50 gm mixture of sand and cement 45% is

R % cement. How much sand should be added so

R% that the percentage of cement becomes 10%.

(A) 78 % (B) 80 % %
(C) 81 % (D) 82 % %

51. Alloy P contains 62% Copper and 10% Zinc (A) 225 gm (B) 175 gm
another alloy Q contains 66% Copper and 4%

Zinc both alloy melted together to formed a (C) 155 gm (D) 195 gm
new alloy R so that % of Zinc becomes 9%.

Then Find % of copper in alloy R. 56. A solution of sugar and water contains 5% sugar

P% % by weight of it 200 gm water evaporates and
% the solution now contains 15% sugar. Find
Q% % original quantity of solution.

R

R% %

%

22

(A) 62 3 % (B) 63 3 % (A) 150 gm (B) 275 gm

22 (C) 225 gm (D) 300 gm

(C) 64 % (D) 65 % 57. What quantity of water should be taken out to

3 3

52. In 300 gm sugar solution % of sugar is 35% concentrate 420 ml of 25% acidic liquid to 35%
how much guantity of sugar should be added acidic liquid.

that that % of sugar becomes 40%. %

%

7

(A) 125 ml (B) 120 ml (A) 3 : 10 (B) 3 : 7

(C) 115 ml (D) 105 ml (C) 7 : 3 (D) 10 : 3

58. In 660 ml sugar solution the percentage of 63. The ratio of zinc and copper in alloyP is 7: 3

sugar is 44%. How much quantity of solution and alloy Q is 3 : 5,in what ratio bothalloymixed

is drawn off and replaced with water so that together so that ratio becomes 11 : 9.

percentage of sugar becomes 36%. P

%Q

%

(A) 110 ml (B) 115 ml (A) 7 : 6 (B) 5 : 7

(C) 120 ml (D) 125 ml (C) 6 : 7 (D) 7 : 5

64. A bucket contains a mixture of two liquids A and

59. In 540 ml sugar solution the percentage of B in the proportion 5 : 3. If 16 litres of the

sugar is 37%. How much quantity of solution mixture a replaced by 16 litres of liquid B, then

is drawn off and replaced with sugar so that % the ratio of the two liquids becomes 3 : 5. How

of sugar becomes 44%. much of the liquid B was there in the bucket?

% 5:3 AB
16 B
(A) 65 ml %% 16
(B) 60 ml 3:5 B

(C) 95 ml (D) 85 ml (a) 25 litres (b) 15 litres

60. A Jar completely filled with 56% alcoholic (c) 18 litres (d) 24 litres

solution 125 ml solution is drawn off and (e) None of these

replaced with water so that % of alcohol 65. A bucket contains a mixture of two liquids A and
becomes 42%. Find capacity of Jar. B in the proportion 6 : 5. If 33 litres of the

% mixture is replaced by 33 litres of liquid B, then
the ratio of the liquids becomes 3 : 4. How much

%% of the liquid A was there in the bucket?

(A) 450 ml (B) 375 ml 6:5 A B
33
33

(C) 475 ml (D) 500 ml B 3:4

61. The ratio of milk to water in two vessels is 5 : 2 (a) 84 litres A
& 8 : 5. In what ratio both mixture are mixed so (c) 70 litres (b) 48 litres
that ratio becomes 9 : 4. (d) 64 litres

5:2 8:5 (e) None of these

9:4 (B) 2 : 7 66. A vessel contains liquids A and B in ratio 3 : 1. If
(A) 5 : 2 8 litres of the mixture are removed and the same
quantity of liquid B is added, the ratio becomes
1 : 3. What quantity does the vessel hold?

(C) 7 : 2 (D) 2 : 5 AB 3:1
8 1:3
62. The ratio of zinc & copper in 2 alloy is 11 : 4 & 2
: 3 in what ratio both allow melted together so B
that ratio becomes in new alloy equal.

2 11 : 4 2 : 3 (a) 12 litres (b) 14 litres

(c) 16 litres (d) 10 litres

(e) None of these

8

67. In Jar A, 140 litres of milk was mixed with 40 (A) 1 : 6 (B) 5 : 1

litres of water. Some of this mixture was taken (C) 1 : 5 (D) 6 : 1
out from Jar A and put in Jar B with already17

litres of milk. If the resultant ratio between 71. Gold is 19 times as heavy as water and copper

milk and water in Jar B was 19 : 3 respectively, is 9 times as heavyas water. In what ratio

what was the amount of mixture that was taken should these be mixed to get an alloy 15 times

out from Jar A? (in litres) as heavy a water ?

AA

B

B 19 : 3

A (A) 1 : 1 (B) 1 : 2

(A) 21 litres (B) 36 litres (C) 2 : 3 (D) 3 : 2

(C) 46 litres (D) 18 litres 72. A liquid 'P' is 13/7 times as heavyas water and

(E) 27 litres water is 12/5 times as heavy as another liquid
'Q', The amount of liquid 'P' that must be added
68. In jar A, 180 litre milk was mixed with 36 litre to 7 litres of the liquid 'q' so that the mixture
water. Some of this mixture was taken out from may weigh as much as an equal volume of wa-
jar A and put it in jar B. If after adding 6 litres ter, will be
of water int he mixture, the respective ratio

between milk and water in jar B was 5 : 2 re- P 13/7

spectively, what was the amountof mixture Q 12/5 P Q

that was taken out from jar A? (in litres)

AA

BB 51
6
(A) 7 litres (B) litres

A

(A) 24 (B) 54 (C) 5 litres (D) 42 litres
(C) 30 (D) 36 3

(E) 42 73. There are some rabbits & pigeons. If heads are

69. Certain quantity of milk with 4 l water is worth counted then 100, if legs are counted then 290.
Rs. 54/l if pure milk were Rs. 60/l then find Then find the number of rabbits.

quantity of milk in mixture. 100

4 54 290

60

(A) 45 (B) 40

(A) 45 lt (B) 36 lt (C) 55 (D) 50

(C) 44 lt (D) 40 lt 74. There are some two wheeler and four wheeler

70. In what ratio milk to water should be mixed so in a parking if whicles are counted then 110
and of wheels are counted then 300. Find num-

2 ber of two wheelers
that a shopkeeper get 16 3 % on selling if at cost

price.

2 (A) 70 (B) 60
16 % (C) 75 (D) 95

3 9

75. A man travelled a distance of 99 km in 9 hr. PREVIOUS YEAR
He travelled partly by foot at athe rate of 9 QUESTION PAPER
km/h and partly by bicycle at 18 km/h. Find
distance travel by foot.

(A) 63 km (B) 78 km 77. Soluion A contains 10% acid and solution B
contains 30% add. In what ratio should solu-
tion A be mixed with Solution B to obtain a
mixture with 25% add?

(C) 64km (D) 84 km A 10% B 30%

76. A man cover 245 km distance in 6 hrs 1st part AB
of a distance he covers by bus at speed of 30 25%
km/hr & 2nd part by train at speed of 50 km/hr
then find distance covered by him by train. CGL Mains 2018

6 245 (A) 1 : 2 (B) 3 : 1

1 30 (C) 1 : 3 (D) 2 : 1
50
78. In what ratio should coffee powder costing Rs.
(A) 137.5 km (B) 142.5 km 2500/kg be mixed with coffee powder costing
(C) 147.5 km (D) 162.5 km Rs. 1500/kg so that the cost of the mixture is
Rs. 2250/kg?

1500 2500
2250

CGL Mains 2018

(A) 1 : 4 (B) 4 : 1

(C) 3 : 1 (D) 1 : 3

79. In a class of 50 students there are 22 girls who
second an average of 35 marks in the test. What
is the average marks of the boys if the class
average is 42 marks?

50 22
35
42

CGL Mains 2018

(A) 50 (B) 52.5

(C) 47.5 (D) 55

80. A beaker contains acid and water in the ratio 1
: x. When 300 ml of the mixture and 50 ml of
water are mixed, the ratio of acid and water
becomes 2 : 5. What is the value of x?

300 ml 50 ml 1:x
2:5

10

x cost of the mixture is Rs. 225/kg?

CGL Mains 2018 300

(A) 2 (B) 1 200

(C) 3 (D) 4 225

81. A mixture is composed of 11 parts of pure milk CGL Mains 2018

and 2 parts of water. If 35 litres of water were (A) 3 : 1 (B) 1 : 3

added to the mixture then the new mixture will (C) 1 : 4 (D) 4 : 1
contain twice as much pure milk as water, then

how many litres of pure milk does the original 85. In a class of 60 students there are 20 girls who

mixture contain? scored an average of 40 marks in the test, what

11 2 is the average marks of the boys if the class
average is 60 marks?

35
60 20

40

60

CGL Mains 2018 CGL Mains 2018

(A) 110 (B) 55 (A) 60 (B) 70
(C) 220 (D) 70 (C) 50 (D) 80

82. Rita buys 5 sarees at an average cost of Rs.
2250. If she buys three more sarees at an aver- 86. A drum contains 80 litres of ethanol. 20 litres
of this liquid is removed and replaced with
age cost of Rs. 2750, what will be the average
water. 20 litres of this mixure is again removed
(in Rs.) of all the sarees she buys?
and replaced with water. How much water (in

2250 5 litres) is present in this drum now?

2750 80 20

20

CGL Mains 2018

(A) 2437.5 (B) 2500

(C) 2450 (D) 2332.5 CGL Mains 2018

83. If a dairy mixes cow’s milk which contains 10% (A) 45 (B) 40

fat with buffalo’s milk which contains 20% fat, (C) 35 (D) 44
then the resulting mixture has fat (120/7) %

of fat. What ratio was the cow’s milk mixed 87. An alloy is made by mixing metal A costing Rs.

with buffalo’s milk? 2000/kg and metal B costing Rs. 400/kg in

the ratio A : B = 3 : 1. What is the cost (in Rs.)

of 8 kilograms of this alloy?

10% 20% 2000
(120/7)%
A 400 B A:B

=3:1

8

CGL Mains 2018 CGL Mains 2018

(A) 2 : 5 (B) 1 : 5 (A) 1600 (B) 9800

(C) 2 : 3 (D) 2 : 1 (C) 6400 (D) 12800

84. In what ratio should tea costing Rs. 300/kg be
mixed with tea costing Rs. 200/kg so that the 88. A jar contains a blend of a fruit juice and water

11

in the ratio 5 : x. When 1 litre of water is added (A) 5 : 3 CGL Mains 2018
to 4 litres of the blend the ratio of fruit juice (C) 7 : 13 (B) 3 : 5
to water becomes 1 : 1. What is the value of x? (D) 13 : 7

5:x 4 1 92. In what ratio should 20% ethanol solution be
mixed with 40% ethanol solution to obtain a
28% ethanol solution?

1:1 x CGL Mains 2018 28% 20%
(A) 3 (B) 1
40%

(C) 2 (D) 4 CGL Mains 2019

89. An alloy contains copper and tin the ratio 3 : (A) 2 : 3 (B) 8 : 5
2. If 250 gm of copper is added to this alloy (C) 3 : 2 (D) 5 : 8
then the copper in it becomes double the quan-

tity of tin in it. What is the amount (in gm) of 93. The number of students in a class is 75, out of
tin in the alloy? 1

3:2 which 33 3 % are boys and the rest are girls.

250 The average scroe in mathematics of the boys

2
is 66 3 % more than that of the girls. If the av-

(A) 250 CGL Mains 2018 erage score of all the students is 66, then the
(C) 1000 (B) 750 average score of the girls is:
(D) 500
75
1
33 3 %

90. Mahesh buys 3 shirts at an average price of Rs. 2 CGL Mains 2019
1,250. If he buys 2 more shirts at an average 66 3 % (B) 52
price of Rs. 1,450 what will be the average price
(in Rs.) of all the 5 shirts he buys? 66

1,250 (A) 54
1,450

(C) 55 (D) 58

(A) 1,370 CGL Mains 2018 94. Raghav spends 80% of his income. If his in-
(C) 1,310 (B) 1,330 come increases by 12% and the savings de-
(D) 1,390 crease by 10%, then what will be the percent-
age increase in his expenditure?

91. If x beakers of 100 ml containing 1 : 4 acid- 80%
water solution are mixed with y beakers of 200
ml containing 3 : 17 acid-water solution then 12% 10%
the reatio of acid to water in the resulting mix- CGL Mains 2019
ture becomes 19 : 91. Find x : y.

1:4 100 x (A) 16 (B) 22
3 : 17 200 y (C) 17.5 (D) 20.5

19 : 91 x:y 95. In what ratio, sugar costing Rs. 60 per kg be
mixed with sugar costing Rs. 42 per kg such

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that by selling the mixture at Rs. 56 per kg 15%, then her expenditure increase by: (cor-
there is a gain of 12%? rect to 1 decimal place)

60 42 72%
12%
20%

56 15%

CGL Mains 2019 CGL Mains 2019

(A) 5 : 7 (B) 8 : 9 (A) 19.8% (B) 20.2%

(C) 5 : 6 (D) 4 : 5 (C) 21.9% (D) 20.8%

96. A spends 65% of his income. His income is in- 99. The average age of 120 students in a group is

creased by 20.1% and his expenditure is in- 13.56 years. 35% of the number of students

creased by 25%. His savings: are girls and the rest are boys. If the ratio of

A 65% the average age of boys and girls is 6 : 5, then
20.1% what is the average age (in years) of the girls?

25%

120 13.56

CGL Mains 2019 35%

(A) Decrease by 11% (B) Increase by 5% 6:5
(C) Increase by 11% (D) Decrease by 5%

97. 40 litres of 60% concentration of acid solution (A) 10 CGL Mains 2019
is added to 35 litres of 80% concentration of (C) 11.6 (B) 14.4
acid solution. What is the concentration of acid (D) 12
in the new solution?

60% 40 80% 100. How many kg of salt costing Rs. 28 per kg must
35 CGL Mains 2019 be mixed with 39.6 kg of salt costing Rs. 16
per kg, so that selling the mixture at Rs. 29.90,
there is a gain of 15%?

16 39.6 28

2 (B) 69% 29.90
(D) 66% CGL Mains 2019
(A) 66 %

3

15%

1
(C) 69 %
3

98. Monika spends 72% of her income. If her in- (A) 35 (B) 32
come increase by 20% and savings increase by (C) 33 (D) 31

ANSWER KEY

1. (C) 11. (B) 21. (E) 31. (C) 41. (D) 51. (A) 61. (C) 71. (D) 81. (A) 91. (A)
2. (C) 12. (A) 22. (A) 32. (B) 42. (A) 52. (C) 62. (B) 72. (D) 82. (A) 92. (C)
3. (B) 13. (D) 23. (A) 33. (B) 43. (A) 53. (D) 63. (A) 73. (A) 83. (A) 93. (A)
4. (C) 14. (D) 24. (B) 34. (A) 44. (D) 54. (C) 64. (B) 74. (A) 84. (B) 94. (C)
5. (A) 15. (C) 25. (A) 35. (B) 45. (C) 55. (B) 65. (A) 75. (A) 85. (B) 95. (D)
6. (B) 16. (A) 26. (A) 36. (A) 46. (A) 56. (D) 66. (A) 76. (D) 86. (C) 96. (C)
7. (D) 17. (B) 27. (B) 37. (D) 47. (A) 57. (B) 67. (E) 77. (C) 87. (D) 97. (C)
8. (B) 18. (C) 28. (C) 38. (D) 48. (C) 58. (C) 68. (*) 78. (C) 88. (A) 98. (C)
9. (D) 19. (D) 29. (A) 39. (D) 49. (B) 59. (B) 69. (B) 79. (C) 89. (D) 99. (D)
10. (A) 20. (B) 30. (D) 40. (A) 50. (C) 60. (D) 70. (D) 80. (A) 90. (B) 100. (*)

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