Percentage,Ratio,Proportion

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Percentage, ratio and proportion

Arun John Mathias

JV Global

30 March 2013

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Percentages

The minimum marks to pass is 50% of the

maximum marks in an exam. A student scores

75 marks and passes the exam by 12 marks.

What are the maximum marks?

100

160

162

126

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By scoring 72% marks, a student obtained 24

marks less than three fourth of the maximum

marks. What are the maximum marks?

1,200

800

1,000

600



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In an election between two candidates, the one

who got 30% of the votes polled is defeated by

1500 votes. Find the number of voted polled by

winning candidates?

2215

2625

3125

None of these



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The difference between the number obtained by

increasing a certain number by 8% and the

number obtained by diminishing it by 3% is 407.

Find the original number?

2300

3700

4120

8140



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If 30% of a class consists of boys and there are

21 girls in the class, how many boys are there in

the class?

30

9

60

42



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How much water is to be added to 100cc of 80%

solution of boric acid to reduce it to 50%

solution?

50 cc

60 cc

70 cc

80 cc



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One litre of water is evaporated from 6 litres of

solution containing 5% salt. Find the percentage

of salt in remaining solution?

6%

7%

8%

9%



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A paper used for typing measures 20 cm by 30

cm. If the typist allows left and right margins of

2 cm each and top and bottom margins of 3 cm

each, what percentage of the page is used for

typing?

41%

60%

64%

72%



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Ajit spends 30% of his monthly income on food

articles. 40% of the remaining is spent on

conveyance and cloths and he saves 50% of the

remaining. If his monthly salary is Rs. 18,400,

how much money does he save every month?

Rs. 3624

Rs. 3864

Rs. 4264

Rs. 5888



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Rakesh has a certain number of mangoes, 15%

of which are bad and are thrown out. He gives

60% of the remainder to his friend and is left

with 102 mangoes. How many mangoes did he

have in the beginning?

408

800

1,632

None of these



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As income is 25% more than Bs income. The

percentage of Bs income in terms of As income

is

80%

70%

60%

None of these



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If the price of petrol is increased by 25%, by

what percent must I decrease my consumption

so as to keep my expenditure constant?

25%

20%

15%

None of these



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Ratio and proportion

Two numbers are in the ratio 5 : 6. If 8 is added

to each they are in the ratio 9 : 10. Find the

numbers.

10, 12

12, 14

12, 24

None of these



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The prices of two sites are in the ratio 6 : 11, 6months later when the price of the first site wasraised by Rs.600 & the price of the second site

was raised by Rs.800, the ratio of their pricesbecome 3 : 5. Find the original prices of thesites.

1200, 3400

1200, 2200

2400, 3000

None of these



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Number Series

Find the missing number in the following series:

2, 4, 12, 48, 240, ?

960 1440 1080 1920

10, 5, 13, 10, 16, 20, 19, ?

22 40 38 23

4, -8, 16, -32, 64, ?

128 -128 192 -192

7, 26, 63, 124, 215, 342, ?

481 511 391 421



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Find the missing number in the following series:

16, 33, 65, 131, 261, ?

523 521 613 721

8, 7, 11, 12, 14, 17, 17, 22, ?

27 20 22 24

8, 24, 12, 36, 18, 54, ?

27 108 68 72

3, 7, 6, 5, 9, 3, 12, 1, 15, ?

18 13 -1 3



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Pick the odd man out from the following:

8, 27, 64, 100, 125, 216, 343

27 100 125 343

396, 462, 572, 427, 671, 264

396 427 671 264

2, 5, 10, 17, 26, 37, 50, 64

50 26 37 64

8, 13, 21, 32, 47, 63, 83

47 63 32 83



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Pick the odd man out from the following:

36, 54, 18, 27, 9, 18.5, 4.5

18.5 4.5 18 54

56, 72, 90, 110, 132, 150

72 110 132 150

7, 8, 18, 57, 228, 1165, 6996

7 6996 228 57

445, 221, 109, 46, 25, 11, 4

221 109 46 25



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A & B can do a piece of work in 48 days; B & C

can do it in 60 days; A & C can do it in 80 days. In

how many days will A, B & C finish it, all working

together?

40 days

35 days

20 days

None of these



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A can do a piece of work in 7 days of 10 hours

each & B can do it in 5 days of 12 hours each.

How long will they take to do it, working

together 70/13 hours a day?

4 days

6 days

10 days

12 days



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24 men can complete a work in 36 days. Twelve

days after they started working, 8 men joined

them. How many days will all of them take to

finish the remaining work?

16 days

20 days

18 days

None of these



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X can do a piece of work in 40 days. He works at

it for 8 days and then Y finished it in 16 days.

How long will they together take to complete

the work?

13 1/3 days

15 days

20 days

56 days



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If 20 men or 36 boys can do a piece of work in

15 days, then 50 men and 30 boys together will

do twice the work in how many days?

6 days

7 days

8 days

9 days



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An engineer undertakes a project to build a road15 km long in 300 days and employs 46 men forthe purpose. After 100 days, he finds only 2.5

km of the road has been completed. Find thenumber of extra men he must employ to finishthe work in time?

46

23

69

115



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Coding and decoding

If EFGHIJK is coded as VUTSRQP, then LIMIT is

coded as

KNRNC ORNRG

JKOKG

RSTSG MHLHS



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If in a certain language , CALCUTTA is coded as

GEPGYXXE, which word would be coded as

FSQFCE?

BOMBYA

BOMBAY

BOMYAB

BOBAYM

BOBAMY



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In a certain code , RIPPLE is written as 613382

and LIFE is written as 8192. How is PILLER

written in that code?

318826

776655

786543

156724

675429



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If JUNK is written as B5C7B7A11, which one

among the following words can be written as

B4C3B7B2?

BIND

BEND

HANG

HIND

NONE



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In a certain code, COMPUTER is written as

RFUVQNPC. How is MEDICINE written in the

same code?

EOJDJEFM

EOJDEJF

MFEJDJOE

MFEDJJOE



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If in a certain code, 'bir le nac' means 'green and

tasty'; 'pic nac hor' means 'tomato is green' and

'coc bir hor' means 'food is tasty'. Which of the

following means 'tomato is tasty' in that code?

bir le hor

pic hor nac

hor bir pic

None



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In a certain code,'il be pee' means 'roses are blue','sik hee' means 'red flowers' and 'pee mit hee'means 'flowers are vegetables'.

How is 'red' written in that code?

hee

sik

be

Cannot be determined

None



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In a certain code,'il be pee' means 'roses are blue','sik hee' means 'red flowers' and 'pee mit hee'means 'flowers are vegetables'.

How is 'roses' written in that code?

il

pee

be

Cannot be determined

None



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In a certain code,'il be pee' means 'roses areblue', 'sik hee' means 'red flowers' and 'pee mithee' means 'flowers are vegetables'.

How is 'vegetables are red flowers' written inthat code?

pee sik mit hee

sik pee hee be

il sik mit hee

None



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If '245' means 'Art and Talent' in a certaincode language, '316' means 'Callous toGenerous', '147' means 'Callous and Polite'

then what is the code used for 'to' ? Only 3

Only 1

3 or 6 Only 6

None of these
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Percentage,Ratio,Proportion