aptitude booklet2

7/23/2019 Aptitude Booklet2

1/25

AVERAGES

1. The average of the seven consecutive

natural numbers is 22. What is . the

product

of

the smallest and the second

largest numbers?

a 475

c 154

b

380

d) 456

2. In a sequence

of

12 consecutive odd

numbers, the sum of the first 5 numbers

is 425. What is the sum of the last 5

numbers in the sequence? (GATE - 2014

3.

What is the average of all multiples o l 0

from

2

to 198? (GATE - 2014

a 90

b

100

c

110

d

120

4.

The average of eight consecutive odd

humbers is 34. What is the second

smallest of these numbers?

a 31

b 27

c 29 d 39

5. The

sum

of

eight consecutive odd

numbers is 656. The average

of

four

consecutive even numbers is 87. What is

the sum of the smallest odd number and

second largest even number(GATE- 2014

6. The average marks obtained by a group

of 178 students are

69.

I f each student is

now awarded 4 grace marks then what

would be the resultant average?

a 73

b

182

c

65 d

174

7. The average age of a couple 7 years ago

was 24 years. During this period a child

is

born and the average age

of

the couple

including child . at present is 22 years.

Then find the present age of the child.

a 2 years b 6 years

c 4 years d 3 years

8. The average

of

x numbers is 3x, if x-I is

subtracted from each given number,

what will be the new average?

a 2x+1 b 3(x-l)

c 2x-l.

d)

Data

Inadequate

9.

The

average

of

24 numbers

is 32.

I f

each

number is tripled, then what would be

the resultant average?

a 72

b

96

c)

27 d

35

10. Which of the following assertions are

CORRECT?

GATE

- 2012) .

P: Adding 7 to each entry in a list adds 7

to

the mean

of

the list

Q:

Adding 7

to

each entry in a list adds 7

to the standard deviation of the list

R:

Doubling each entry in a list doubles

the meanof the list

S: Doubling each entry in a list leaves the

standard deviation of the list unchanged

a

P,

Q

c)

P, R

b

Q,R

d R, S

11.The average weight of 35 students in a

class

is

38 kg. I f the teacher is also

included the average increases to 39 kg.

the weight

of

the teacher

is

a

39 kg b 74 kg

c 73 kg

d

75 kg

12. Swnitra has an averige of 56 on her

first 7 examinations.

How

much

she

should make

on

her eighth examination

to obtain an average of 60 on 8

examinations?

a 88

c 92

b 84

d 86

~ _-+._--_

_ _ ._ '- ---:- ....

----

...

--- . ... -

..

- --

I

j

I

I

1

I

I

I

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-


2/25

,AVERAGES

13.

Ashok

secured an average of 7S marks'in

7 subjects.

f

the average

of

marks

in

6

subjects

is

74.5.

How

many marks did he

secure in the seventh subject?

a 76 b) 77

?178 d 79

14.

The average salary of 20 workers in an

office is Rs.1900 per month. If the

manager's salary added

the

average

salary becomes Rs.2000 per

month.

What is the tnanager's annual salary

a

Rs.24000 b) Rs.25200

c

Rs.4000 .;lrRs.48000

15.The average age of A, B, C, D five years

ago was 4S years. By including X the

present

average age

of all the

five is 49

years.

The

present age

of X is

a 64 yrs b) 48 yrs

c

45 yrs d) 40 yrs

16.A

batsman in his 16

th

innings makes a

score

of

92 .and there

by.

increases his

average by

4.

What

is his average

after

16

innings?

a 32 b) 30

c 34 d 23

17.

The

average mark

of

a student in 4

subjects

is

75.

I f

the student obtained 80

marks in the 5

th

subject

then

the new

average IS

a 80 b) 76

c 92 d 95

18.

The

average height

of

a group

of

8 boys

is

159 cm.

If one

of them

is

excluded

from the group the average height of the

group increases by

2

cm. Find the height

of the boy excluded;

a

147cm b 173 cm

c

145 em d 175 cm

19.

The

average weight of 20 students in a

class is increased by 0.75 kg when one of

the students weighing 30 kg is replaced

by a new student. Weight of the new

student

(in kg.) is

a 35 b 40

c 45 d 50

20. The average age o f 8

men

is increased by

2 yrs when

two

of them whose ages are

21 and 23 yrs are replaced by two new

men. The average age of the two new

men IS

a

22 yrs

c

28 yrs

b) 24 yrs

d) 30 yrs

21. The average age

of

24 boys in a class is

16 years. If the teacher

is

included and

one

boy is excluded from the group, the

average increases by one.

The

age of the

teacher is:

a

41 b) 40

c) 42

~ t

Insufficient

22. The average temperature of a town in

the

first four days

of

a

month

was 36.

The average for the second, third, fourth

and fifth day was 38.If

the

temperatures

of the first and fifth day were in the ratio

4:5. What

is

the temperature

on

the fifth

day?

a

32

0

b) 35

0

c 38 d 40

23. The average weight

of

A,B and C is 84

kg.If D joins the group, the average

weight

of

the group becomes 80 kg.If

another

man E

who

weighs 3 kg more

than D, replaces A, then the average of

B,C,D

and

E

becomes 79 kg.What is the

weight of A?

a 64 kg

b

72 kg

c 75 kg

d

80 kg

24.

The

average marks of 14 students IS

calculated as 71.But it was later found

that the marks of one student had been

;1

. , :


3/25

AVERAGES

wrongly entered

as

42 instead of

56

and

another as 74 instead of 32.The correct

average

1S:

a

67 b 62

c

69

d 71

25.

The

average of results is 50.1f the

average

of

the first 6 results

is

49 and

that of the last 6 is 52, ftnd the sixth

result

a

50 b 52

c 56 d 60

26.The average age of a family of 7

members is 29 years, and the youngest

boy is 5 years old. What was the average

age

of

the family just before the birth

of

.this boy?

a 34 yrs b 28

yrs

c 24 yrs

d

29 yrs

27. There are

N

boys in a group whose

average weight is

20 kg.

f

5 boys, each

of

them weighing 12 kg, join the group

or if

10 boys, each

of

them weighing

21

kg, leave the group, the average weight

of

the resulting group would

be

the

same. Find

N.

a 10 b 12

c 15 d 20

28. There were 45 students in a hosteL

f

the

number

of

students increases by 9, the

expenses of the mess increase by Rs.25

per

day while the average expenditure

per head diminishes by Rs.1. Find the

original expenditure of the mess.

a

Rs.390 b Rs.295

c Rs.395 d RsAOO

29.The table below has question-wise data

on

the performance

of

students in an

examination.

The

marks for each

question are also listed. There is no

negative

or

partial marking in the

examination.

Q. Marks

Answered

Answered Not

No

Correcdy

Wrongly Attempted

1 2 21

17

6

2 3

15

27 2

3 2

23 18

3

What is the average

of

the marks

obtained by the class in the examination?

GATE - 2014)

a 1.34 b 1.74

c 3.02

d 3.91

30. A foundry has

a

fixed daily cost

of

Rs.

50,000 whenever

it

operates and a

variable cost

of

Rs

. 8000Q, where

Q

is

the daily production in tones. What is

the cost

of

production in Rupees per

tonne for a daily production of 10

tonnes? GATE - 2014)


4/25

. _

RATIO POPORTION

1. At present the ratio of the father s age and

the son s age is 2:1. 15 years ago father s

age

was 25

years. What

will

be the son s

age after 15 years (in years)

?

a) 25 b) 30

2. The

ratio of the ages of Naren, I


5/25

__

tn

...

.

..

. .

J l .

RATIO POPORTION

. . . . 1 1

1

prop.ortion o 7 - : - c : ~ .

. ........ . .. . . 4 ' 2

Howmuch

.

doesRinkygain

by the error?

a : R s ~ 5 4

-.

, c) Rs:28

.

. b

Rs2


6/25

g

a _

RATIO POPORTION

the ratio 1:2. What is the sum of the two

numbers?

a)

64

c)

96

b) 80

d)

23. Pinky s mother was four times her age 10

years ago. She will

be

twice

as

old

as

Pinky

10 years from now. What is the present

age of Pinky s

mother?

a)

40 years b) 45 years

c) 60 years

d)

50 years

24.

Four

years ago,

the

ratio

of the

ages

of

A

and

B

was 13:9 and eight years hence it

would be 4:3.

The

difference of their

present

ages

is

a) 20 years

c)

16 years

b) 8 years

d) 24 years

25.

The

annual incomes of

two

pers

the ratio

9:7

and their expe

ratio 4:3.1f each of them

year, then their

annual

c

. a) Rs.18,000

and

b) Rs.27,000 and

26. In a . es, the

milk

and

water

ra

0 7:2.

f

7 htres of

resulting mixture

the mixture, find the

water respectively in the

a)

3:1

b)

4:1

c) 7:3 d) 7:5

27. Income

of

two companies

A

and

B

are

in

the ratio of 5:8. Had the income of

company A

been

more by Rs.30 lakhs, the

ratio

of

their incomes would have been

5:4 respectively.

What

is the income of

company B in Lakhs)?

a) 80 s 48

c)

40 d) 60

en i l l

a

5:4. f 3

e

number

of men

in ference hall will be

. Fina

the

~ r i g i n l

number

the

conference hall.

c)

30

d)

40

0

of

number of girls to boys at a

was 1:3.When four girls and two

s left, the ratio became 1 :5. Find the

number of people originally present in the

party.

a)

9

b)

27

,

c)

36

d)

48

30.

Two

candles

of the

ame length are

lighted at 7 p .m.

The

first

is consumed in

6 hours and the second in 4 hours.

Assuming that each candle burns at a

constant rate, in how many hours after the

candle is being lighted, was the first candle

twice the length

of

the second?

a) 3 hours b) 2 hours

c) 1

hr

30

m n

d)

2 hr 30

m n

-


7/25

-

VARIATION

1 Area of a circle vanes

as

the square of

its radius. Given that the area of the

circle is 154 sq.units, when the radius

is

7 units. Find the area of the circle, when

the radius is 3.5 units.

a 77 sq. units

c 308 sq. units

b 38.5 sq.units

d 616 sq.units

2.

The

volume

of

a sphere vanes with the

cube

of

its radius. The volume

of

a

sphere of radius 2 units

is

80 cubic

units. What is

the

radius

of

a sphere

of

volume 3430 cubic units?

a

21

units

c 14 units

b 28 units

d 7 units

3.

An

article worth Rs.6,400 is broken

two pieces whose weights are

ratio 3:5. If the value of the

proportional to the square

4.

find the loss incurred

breakage,

a

Rs.2,600

c Rs.3,OOO

a

Rs.7,600

c Rs.8,400

diamond is

square

of

its

e

of

the original

0,000, what is the loss

e breakage?

b Rs.12,400

d Rs.ll ,600

5. The value

of

diamond varies with the

square of its weight. A Rs.14,40,000

worth diamond breaks into three pieces

whose weights are in the ratio 3:

4:5.

Find the loss in its value due to

breakage

a Rs .8.40 Lakh

c Rs.6.40 Lakh

b Rs.9.40 Lakh

d

Rs

.7.40

Lakh

6. A

diamond

falls d, wn and

breaks into

three pieces whose _ ghts in the ratio

2:3:5. The v of (

directly propo

weight.

Rs.

Rs.3,09,043

d Rs.2,88,120

,--ft,,;.u.u.u. of a hostel

is

partly

and partly varies with the

er

of

inmates in the hosteL

When

number

of inmates in the hostel

is

100, the total expenses come to

Rs.25000. However,

if

the number of

inmates in the hostel is 150,

then

the

expenses

of

the hostel are Rs.35000.

Find the total expenses

of

the hostel if

the number of inmates in the hostel

is

600.

a Rs.l,25,000

c Rs.1,40,000

b

Rs.1,50,OOO

d Rs .l,OO,OOO

8.

The

total expenditure for a party

consists of two parts. One part remains

constant and the second part varies

directly with the

number

of

guests. The

total expenditure

is

Rs.650 for 7 gests

and Rs.970 for 11 guests . Find the

expenditure for 18 guests.

a Rs .1700

b Rs.1530


8/25

E

J L

VARIATION

c) Rs.1S00

d) Rs.2000

9.

A

locomotive engine without any

wagon attached

to

it can go at 40 kmph.

Its speed

is

diminished by a quantity

which varies

as

the square

root of

the

number of wagods attached. With 16

wagons, its speed

is 28

kmph. Find the

greatest

number of

wagons which can

be attached if the speed is not

to

fall

below 10 kmph.

a

100 b) 75

c 50 d) 125

1 ). A m c h i n e ~ s output varies directly with .

its input in kilos as well as its

percentage of efficiency and varies

inversely with the percentage

of

waste

material in the input. The machine

produces an

output of

2100 kg when its

input is 2400 kg, e ficiency is

70

and

was te material is 4' . . Find the output

of the mac if it ut is 1680 kg,

efficiency is 8 erial is

30 .


9/25

PERCENTAGES

1. In a class of 52 students,

25

are rich

and others are poor.

There

are 20

females in the class, of whom 55 are

poor. How many rich males are there in

the

class?

a)

13

c) 39

b) 4

d) 2

2.

If

60 of 75

of a number is 270, it's

40 is

a) 180

c 230

b 210

d) 240

3.

75

of

a number when added to 75, the

result

is

the

number

again.

The

number

1S

a 150

c 360

b 300

d 450

4.

The difference between

number and

58

of the

5.

960, 22

of that

a 1408

c

1324

c 1140

t are the

a student can

b) 980

d Can't be detennmed

6. A candidate needs 35 marks to pass.

f

he gets 96 marks and fails by 16 marks,

then the maximum marks are

a 250 b) 320

c 300

d

425

7. In an examination Suresh scored 22 of

the maximum marks and failed the exam

by

52

marks, where as Ramesh scored

45

of

the maximum marks and

got

40

marks more than the pass mark.

Then

find the maximum marks of the exam?

8.

a 300

c

400

2 marks gets 42

ss mark. Percent of

b) 25

d) 30

g one year the population of a

n increased by 10 and in the next

year decreased y 10 .

f

the population

at the end

of

the second year was 20295,

what

was it

at

the beginning of 1st year?

a

19800

c 20500

b 19900

d 21500

10.In

an election between two candidates

the person

who,

got

56

of the total

votes polled

won

the election by a

majority

of

1080 votes.

Then

find the

total number

of

votes polled?

a 1800

c

9000

b 7000

d

1500

11. In an election between two candidates a

person who secured 60

of

the valid

votes won the election by a margin

of

760 votes. f 95 of the total votes are

valid, the invalid votes are. .

i

I


10/25

S

_

PERCENTAGES

a)

100

c)

300

b)

200

d) 400

12.

An

electrical contractor purchased a

certain

amount

of

wire,

10 of

which

was stolen. After using

80 of the

remainder he had 36 meters of wire left.

How

much

wire did 'he purchase?

a) 100 m

c)

200 m

b 300m

d) 150 m

13.

Ram

spends

20

of

his monthly income

on

his household expenditure,

15 of

the rest

on

books,

and 30 of the

rest

on

clothes and saves

the

remaining

Rs.9520.

Find

his monthly income.

a) 10000 b) 15000

c)

20000

d)

12500

14. Samar spends 52 of his

mon

on household expetlditure'

miscellaneousexpendi f

with

Rs.4,500,

what

is

a) Rs.17,OOO

c)

Rs.18,000

nsport, 15

on

enterGUnrnent.

He

after incurring

ll

H'UJlLU-Les. What is

his monthly

a)

Rs.35,000

c) Rs.65,333

b)

Rs.28,000

d) Rs.48,400

16. A's salary

is

25

higher than

that

of B's.

By how much percent is B's salary lower

than that

of

A's?

a) 33.33

c) 35

b) 25

d) 20

17.Two nllmbers are 15 and

20

less

than a third

numb@] What

percentage

is

. rcentage of the

is

more than Ashu's;

.se

of

40

on

his salary

a raise of 25 on his

percent

is

Vicky's salary

~ a . u

Ashu's?

b) 104.16

d)

204.16

9.In

an examination in which maximum

marks are 500, A got 10 less

than

B, B

got 25 more than C, C

got

20

less

than D . f A got 360 marks, what

percentage of marks was obtained by

D?

.

a) 60

b)

72

c)

55

d)

80

20. On a shelf, the first row contains 25

more books than the second row and the

third row contains 25 less books than

the second row.

1

the total

number

of

books contained

in ll

the rows

is

600,

then find the number of books in the

first row.

a) 250

c)

300

b)

225

d)

400

n (


11/25

PERCENTAGES

21. Naveen's monthly income is 30 more

than that of Ravi. Ravi's monthly income

is 20 less than that of Venky. f the

difference between the monthly incomes

of

Naveen and Venky is Rs.800, What

is

the monthly income of Ravi?

a Rs.16000

c Rs.12000

b) Rs.20000

d Rs.18000

22. In an examination, the percentage of

students qualified to the number

of

students appeared from school

A is

70 .In school 'B', the number of

students appeared is 20

more than the


A

and

the number of students qualified from

school 'B'

is 50

more than the stude

qualified from school 'A'. What is the

of

students qualified to the n


a 87

.5

c 70

23. In Mathematics ex

30 in the fir

'stakenly divided by 5

multiplied by 5; find the

percentage change in the result due to

th e mis take .

a

96

c 2400

b) 480

d 100

25.

A man spends 60

of his income. His

income increases by 40 and due to this,

he increases his expenditure also

by

40 .Find the percentage increase in his

savings?

a

No change b 40

c 50

oth

are reduced

.

th sold

d

10

decrease

e in s fare resulted in a 10

ssenger traffic. Still the daily

co .on at the bus depot increased by

RS.15 . The daily collection at

the

depot

e fare hike is

a Rs.1800

c

Rs.1900

b) Rs.1850

d

Rs.1875

28.

f

the price

of

sugar increased by 25 ,

by what percentage must a family reduce ,

its consumption of sugar so that there is

no change in the expenditure on sugar?

a 33.33

c 20

b 25

d 400/0

29. Due to rise of 25

in the price

of

apples,

a dealer gets 2 dozens less for Rs .1440.

Find the new price per apple.

a Rs.12 b Rs.15

c Rs.16

d Rs.20

30. There are two candidates P and Q in an

election. During the campaign, 40

of

the voters promised to vote for P and


12/25

PERCENTAGES

rest for

Q.

However, on the

day of

the

.election 15

of

the

voters

went

back

on

their promise to vote for P and instead

voted

for

Q. 25

of

the

voters went

back

on their

promise to vote

for

Q

and

instead voted for-Po

Suppose,

P

lost

by 6

votes

y

then what was the

total

number of

voters?

(GA'tE - 2012)

a 300 b 200

c 600

d) 800

31.

One

percent

of

the people country

X

are

taller

than

6 ft; Two

percent of

the

people

of

country Yare taller than 6 ft.

'There _are thrice as

many people

in

country X

as

in

country

Y.

Taking

both

countries together, what is

percentages of people taller than 6

(GATE

- 2014)

a

3.0

c

1.5

32.

The

population of a

and is growing at 2

many years wo

this

growth

r ?

a

3-4 year

c 5-

33.Ind

annual

power

Find the

assuming it to e uniform over the years.

(GATE - 2014

a 5.6

c

10.0

b) 7.2

d

12.2

34.

The

Gross Domestic Product

(GDP)

in

Rupees grew at 7 during 2012-2013.

For international comparison, the GDP

is compared

in US Dollars (USD) after

conversion base - the market

exchange rate. D the period 2012-

2013

the

for

the USD

to Rs.

SD

during

TE -2014)

urvey, 300 respondents were asked

ther

they

own

a vehicle or not. f

yes, they

were

further asked

to

mention

whether they own a car or scooter or

both. Their responses are tabulated

below. What

percent of

respondents do

not own a scooter? (GATE

- 2014)

Men

Women

Car

40

34

Own

vehicle

Scooter

30 20

Both

60 46

Do not own

20

vehicle

50


13/25

JIlt .

1 M

PROFIT LOSS

ND

DISCOUNT

1. A bookseller sold a

book

for Rs.100

and there by gains Rs.20. Find his

gain percent

a)

20

c) 40

b) 25

d) 50

2.

Venkat purchased 20 dozens of toys

at the rate

of

Rs.375 per dozen.

He

sold each one of them at the rate of

Rs.33.What

is

his percentage profit?

a) 6.5 b)

5.60/0

c) 3.5 d) 4.5

3. A vendor purchases 25 dozen

bananas at Rs.12 per dozen. Three

dozen get rotten and had to

thrown away.

He sells 10 dozens

Rs.18 per dozen and the rem_-:.=-_

Rs.1.25 per banana. What is

percentage?

a) 60

c) 12

'

4.

A

man boug

for Rs.34 an

12 fo

d)

150

5.

centage above the cost

price must an article be marked so

as

to gain 33 after allowing customer

a discount of 5 ?

a)

35

c) 40

b) 38

d

42

6. f a dealer wants to earn 20 profit

on

an article after offering 25

discount to the customer, by what

percentage above the cost pnce

should he mark the price?

7.

9.

a) 60 b

50

is numerically

ees and

, hat is the

d) Rs.19.50

1S

sold for Rs.16 the

_ . L ~ U ' ' ' ' ~ F . ' ' '

of loss

is

equal to its cost

Find the cost price of the

b Rs.20

c)

Rs.80

d) Either

(b)

or (c)

The owner of a cell

phone

shop

charges his customer

23

more than

the cost price. f a customer paid

Rs.7011 for a cell phone, then what

was the cost price of the cell phone?

a) Rs.S900

c)

Rs.5700

b Rs.6750

d RS.6925

10.

By selling a calculator for

RsA18

a

shopkeeper gains 10 .The cost price

of the calculator is

a) Rs.459.80 .

c) Rs.376.20

b RsA08

d)

Rs.380


14/25

PROFIT LOSS

Nn

DIS OUNT

1i.By

selling an article for Rs.4S0, a man

loses 10 . His

~

or losspercent

if

he sells for Rs.540

is

a)

Gain

8

c)

Gain

20

b) Loss 8

d) Loss 20

12. A sells an article to

B

at a profit of

15 and B sells it to C at a profit of

20

0

/o.1f C pays Rs.690 for it, what was

the cost price of A?

a)

Rs.600

c)

Rs.630

b) Rs500

d)

Rs580

13.Anita sold a painting at a profit

of

. Had she,sokI it for Rs.175 more

she would have gained 18 .

Th

cost price of the painting

is

a)

Rs.2250

b

Rs.235

c)

Rs.2S00 d) Rs.

14.A trader marks up

product by 60 . I

increased from

profit comes 0

is the cost p

15. a profit of 10 .

t for 10 less and

less, the profit would

have 0 . What is the cost

price 0

f

the machine?

a)

Rs.900

b)

Rs.1800

c) Rs.600

d)

Rs.1200

16

.A shopkeeper earns a profit of 250/0,

after allowing 10 discount on the

list price. What is the cost

pticeof

aft

article whose 'list price is Rs.500?

a)

Rs.360

c)

Rs.450

b)

Rs.400

d)

Rs.540

17. A trader fixed the price of an article

in such a way at by giving a rebate

of

10

on the fixed he made a

profit of

article is Rs. .. ' on it is

.0.00

d) Rs.97.80

by selling an article

is equal to the loss

when the same article is sold

. 8.What should be the sale

of

the article for making 50

rcent profit?

c)

Rs.1200

b) Rs.1060

d)

Rs.920

19.

An article

IS

sold for Rs.500 and

hence lost something. Had the article

is sold for Rs.700; the merchant

would have gained three times the

former loss. Find the cost price

of

the article.

a)

RS.525

c)

Rs.600

b) Rs.550

d) Rs.650

20. f after successive discounts of 30 ,

20

and

J

0 , a customer has

to

pay

Rs.252, what is the list price

of

the

article?

a) RsAOO

c)

Rs.600

b)

Rs.500

d)

Rs.360


15/25

PRO IT LOSS AND

DISCOUNT

21

.A shopkeeper

bought

a chair whose

marked price is Rs.800, at two

successive discounts

of

10 and

15 respectively.

He

spent Rs.28

on

its transportation and

then

sold the

chair for Rs.800.

What is

his gain in

percentage?

a) 10

c)

25

d

400/0

22.

The

CP

of

21 articles is equal to SP

of 18 articles, find the gain

or

loss

percent

a)

12.5 gain

c)

16.66 gain

b) 12.5 loss

d) 16.66 loss

23. By selling twelve notebooks,

s e l l ~ r earns profit equal to the

-price of two

note

books, w

percentage profit?

a) 20

c) 16.66

24.

A

dishonest

er se rice at a profit

of

20

and us eight which

is

25 less.

Find his total percentage gain

a)

25 . b) 60

c) 75

26.

Some articles were bought at 6 for

Rs.5 and sold at 5 for Rs.6.

The

gain

percent

is:

a) 25

c) 35

27.

A shopkeeper

Rs.1485 each.

b) 33.33

d)

44

two watches for

he gains 10

%

1 0 ~ F i n d

whole

J K 1 n a ~ P l l ~ e s

some water to the

it at the cost price

profit. Find

out

the

of water added per litre of

c) 200 rnl

b 5 rnl

d)

250

m1

29. A traderby mistake calculates profit

on

the selling price and expresses

it

as

25 . What

is

the original profit?

a)

20

c)

33.33

b) 25

d)

30

30 . f pinky buys car at 75 of its value

and sells it for 20 more than its

value, her profit

will

be

a)

45

b)

20

c) 60 d 50


16/25

z

A L I .. - _

SI and I

-1

. Rs.1200 is lent

out

at 5 per annum

simple interest for 3 years. Find the

amount after 3 years?

a) Rs.1380

c) Rs.1470

b) Rs.1290

d)

Rs.1250

2.

What sum of money will amount to

Rs.1440 in 4 years at 11 per annum

simple interest?

a) Rs.564

c) Rs.790

b) Rs.1000

d)

Rs.1200

. 3.

What is

the difference between the

simple interest on a principal of Rs.500

being calculated at

5

per annum

for 3

years and 4 per annum for 4 years?

a) Rs.5 b) Rs.10

c)

Rs.20 d) Rs.40

4. The simple interest on a sum

at 8 per cent per

annum

fo

half the sum. The sum is

a)

Rs.4800 ,

c) Rs.8000

5.

After how

Rs.12,500

of10 p

a) 2

c) 4

of

6. A

cert

5

years.

money doubles itself in

rate per annum?

a) 10

b)

20

c)

25 d) 50

7. A certain sum

of

money trebles itself in

S years. In how many years will it

become 9 times itself?

a) 32 years

b) 40 years

c) 24 years

d) 16 years

8. Ajay borrowed Rs.5000 from Sanjay at

simple interest.

f

Sanjay

got

Rs.600

more than his capital after 4 years, what

is

the rate

of

interest Per annum?

a) 2

b

3 c) 4

d

8

9. f

A lends Rs.350

at 10 per

ame sum to C

. ofB

b)

Rs.11550

d)

Rs.17750

to Rs.920 in 3 years at

f the interest rate is

3 per cent, t would amount

~ u u \ u ?

b

Rs.I056

d) Rs.1182

1.A

sum was

put

at simple interest at a

certain rate for 2 years. Had it been

put

at 4 per cent higher rate, it would have

fetched Rs.72 more. The sum is

a) Rs.900

c)

Rs.1600

b

Rs.1500

d) Rs.1800

12. A person borrowed Rs.2500 from two

money lenders, for one loan he paid

SOlo

p.a. and for the other 6 p.a. simple

interest.

f

he paid Rs.1S0 as total

interest for one year, how much did he

borrow

at 8 p.a.?

a)

Rs.I000

c)

Rs.1300

b) Rs.1200

d)Rs.1500


17/25

land

I

..

13.What is the principal amount which

earns Rs.132

as compound

interest for

the second year

at

10 per annum?

a Rs.1000

c

Rs.1320

b Rs.1200

d

Rs.1188

14.The time in which Rs.1800 amounts to

Rs.2178 at 10 per annum,

compounded annually is :

a

3 years b 2 years

c 4 years

d 1 1/2 years

15.

f

he amount

is

2 l//times the sum after

2 years atcompound interest, the rate

of

interest per annum 1S :

a 25 b

300/0

c 400/0

16.

A

certain sum

of

money lent

trebles itself in 8 years. In h

years will

it

become 9 times i e

a

32 years b

c 24 years

17. Find the difference

on

Rs.sOOO

for

p.a?

a

Rs.20

18.The

d Rs.100

n . e C.I and S.I

ears at 5 p.a is

b Rs.15,000

c Rs.30,On d RsAO OOO

19.The difference between the C.I and S.I

on a certain sum for 3 years at 10

p.a

is Rs.93. Find the Sum?

a

Rs.5,000

c Rs.9,300

b Rs.6,000

d Rs.3,OOO

20.What IS the difference between

the

compound interest and simple interest

for the sum

of

Rs.2000 over a 2 year

period if the

compound

interest is

calculated at 20 p.a and simple interest

is calculated at

23

p.a?

a

Rs O b) R s 4 ~

c

Rs.44 d Rs.sO

21. Seema borrowed

Rs.

0 at 12 simple

interest for 3 nt it to Anjali

for 3 annum

ompounded

fit at the end

of

3

b

Rs.1301

d RS.1783

mpound

interest at the rate

p.a. for 3 years on that principal

YV in 3 years at the rate of 10 p.a.

o

s

Rs.300

as

simple interest?

a

Rs.331 b) Rs.310

c

Rs.330

d

Rs.333

23.The compound interest orr Rs.4000 for 2

years compounded annually is RsA10.

The rate per cent per annum is:

a 4 b) 10 c 5 d 6

24.The compound interest on certain sum

at

5

p.a. for 2 years is Rs.328. The

simple interest on that sum at the same

rate and for the same period will be :

a

Rs.320 b) Rs.322 c RS.325 d Rs.326

25.The compound interest on Rs.16000 for

1 V2 years at 10 per annum interest

compounded half yearly is

a RS.18724 b Rs.2724

c RS.2522

d Rs.18522


18/25

ALLIGATION AND MIXTURES

, 1. The cost of one type rice

is

Rs.1S

per kg

and

another

type

is

Rs.20

per kg. If

thes.e two

varieties rice are mixed in the ratio of

2:3

respectively then the price

per

kg of mixed

variety of rice is

a) Rs.18.00 b) Rs.18.50

c) Rs.19.50 d) Rs.19.00

2. One quality of wheat at Rs.9.30 per kg mixed

with another quality at a certain rate

in

the ratio

8:7. If the mixture so fonned be worth Rs.10

per kg What is the rate

per

kg of the second

quality of wheat?

a) Rs.10.30 b) Rs.10.60

c)

Rs.10.80

d

Rs.11.00

3.

Tea worth Rs 126 per kg and Rs 135 per kg

is

mixed with a third variety in the ratio 1:1:2.

If

the

mixture

is

worth Rs 153

per

kg, then the

price

of

the third variety

per

kg

will

be

a) Rs 169.50 b) Rs 170

c)

Rs

175.50

d

Rs 180

4. In

what proportion

must

rice

at

Rs.15 per k

mixed with rice at Rs.18

per

kg,

mixture

will be

worth Rs.16 per kg?

a

2:1 b) 1:2 c) 3:2 .

5.

A goldsmith has two qualities

carats and another

of

24 c

proportion should

he

ornament of 20 carats p

a

2:1

b) 2:3

. 6. Gold and co

heavier than

and copper

heavie

gold

a

3: d 4:3

7. How ch ' chic at

kg

should be

added to a at Rs.10 a kg, so that the

mixture be w . s.6.50 a kg?

a 21 kg b

15

kg '

c

24 kg . d 23 kg

8. How much water must be added to a cask

which c o n t ~ s 40 litres of

milk

at cost price

Rs.3.5 per litre, so that the cost of milk reduces

to Rs.2 per litre?

a

25litres

c 35 litres

b) 30 litres

d

20

litres

9, A sum of Rs 1

was

divided among 50 boys and

girls. Each boy gets

90

paise and each girl

65

paise.

The

number of boys

is

a

34 b) 22

c

28 d) 16

1O of Rs .6.40 is made up of 80 coins which

are either 10-paise or 5-paise coins.

ow

many

are

of

5-paise coins?

a

45

b)

32

11. A mixture of

48

i

d) 35

milk and

water

es

has 40 sugar in

it.

be

added

to

make it

c

300

gm

d)

450

gm

es of the first solution to make a solution

70 sugar?

o itres b) 5 litres

c 15 litres

d

20 litres

4.

In an alloy, zinc and

copper

are in the ratio 1

2.

In

the second alloy the same elements are in the

ratio 2:3. in what ratio

should

these two alloys

be mixed

to

fonn a new alloy in which the two

elements are in the ratio 5:8

a 3:10 b) 10:3

c

6:7

d

7:6

15. Two vessels A and B contain spirit

and

water

mixed in the ratio 5:2

and

7:6 respectively

.

Find

the ratio in which these two mixtures

be

mixed

to obtain a new mixture

in

vessel C containing

spirit and water in the ratio

8:5.

a

4:3 .

b

3:4

c

5:6

d

7:9

16. A container originally contains 10 liters

of

pure

spirit. From this container 1 liter

of

spirit

is

replaced with 1 liter

of

water, Subsequendy, 1

liter

of

the mixture

is

again replaced with 1 liter

of water and this process

is

repeated

one

more

time.

ow

much 'spirit

is now

left in the

container?

(GATE -

2011)

a 7.58 liters

b

7.84 liters

,

1

, , I 1

, I


19/25

'

Al..LIGATION

AND

MIXTURES

c)

7

liters

d

7.29 liters

17.8

liters are drawn from a cask

full of

wineand is

then filled with water. This operation

is

performed three more times. The ratio

of

the

quantity of wine now left in cask to that of the

water is 16:65. How .much wine did the cask

hold originally?

a) 18 liters b)

24

liters

c) 32 liters

d)

42 liters

18. The population of a

town

was 20000. If the

number of males increased by 10% and the

number of females decreased by 6%, the total

population would have remained unchanged. .

The

number

of females is

a) 12500 b) 7500 c) 12000 d) 8000

19. In a certain year, the p6pulation of a town was

9000.

If

in next year, the population o males

increases by 5 that of females by 8 and the

population increases to 9600 then what was '

ratio of males and females:

in

that given year?

a 4:5 b) 5:4 c) 2:3 d) 3:2

20.

A

man has Rs.30000 rupees to lend

0

lent some

of

his capita. to Mohan at

rate

of

20% per

annum

.

and

.

he re

an

interest rate of 12% per a .

of

one

year

he

got

17

of

capita. as

How

much

did he

lend

t

a) Rs.16250 b) Rs.

c Rs.17000

21. Rs.1500 is inves

part

be inve

total interes

is Rs 8

a

Rs

c) Rs.

22. Some

s.

0 was lent at 6% p.a.

4

p.a.

if

the total simple

interest from . the fractions in 5 years was

Rs 1600, the sum lent at 6% p.a. was

a

Rs .2000 b) Rs.5000

c Rs OOO

d) Rs.3000

23. A man buys two horses for Rs.1350 and sells

one so as to lose 6% and the other so as to

gain

7.5'%> and on the whole he neither gains

nor

loses.

What

does first horse

cost

a

Rs.750 b) Rs.600

c)Rs.700 d)

Rs

.650

24.

A

trader has 120 kg

of

rice, out of which he sells

some with 10% profit and the rest with 25%

profit. He gains 15% on the whole.

What

is the

quantity of rice sold at 25% profit?

aj 30 kg b) g

c

50 kg . d) 55

25;

A

man has 60 p

profit of 1, %

an

whole, h

t 1

these

at

a

s.

On

the

b)

57

d)

40

has kg

0

part of which he sells

e rest at the cost price. In this

e gets oss

of

3%. Find the quantity

s at the cost price

4 kg c 25 kg d) 15 kg

are purchased for

RsA5

and 1/3

td

part f e goods are sold at a loss of 10%, what

ent of profit should be taken

on

the

ainder so as to

gain

20

on

the whole

transaction?

a

5% b) 65% c)

35

d

30%

28.

If

goods are purchased for Rs.840 and 1/

4th

part of the goods are sold at a los.s of 25%, at

what

gain

per cent should the remainder

be

sold

so

as

to gain 8%

on the

whole?

a

21

b) 19% c

24

d)

28

29. How many kg of tea at Rs.42

per

kg must a man

mix

with 25 kg of tea at Rs.24

per

kg so that he

may, on selling the mixture at Rs.40 per kg, gain

25% on the outlay?

a

25 kg b) 32 kg

c)

35

kg

d)

20

30. A person has a chemical

of

Rs.2S per litre. In

what ratio should water be mixed in that

chemical so that after selling the mixture at

Rs.18 per litre he may get a profit of 20%?

a 3:2 b) 2:3

c 3:5 d) 5:3


20/25

TIME

AND

WORK

1. X is thrice as fast as Y and is able to

complete the

work

in 40

days less

than Y.

Find

the time

in which

they

can complete

the

work

together?

a 12

days b 17 days

~ 1 9 ~ ~

~ 1 5 d ~ s

2.

P alone

can

do

a piece

of work in

36 days,

and Q

alone

can do it in 45

days.

In how

many days P

and

Q

working

together

can

complete the work?

a 30 days b 20 days

c 18 days d 27 days

3. A can do a piece of work n 9 days; B

can

do

the same

in

12 days.

In how

many days

can

the work

be

completed

if

A and B

work together?

a

5

1/9

days b

5

1/4

days

c

5 1/3

days d

5

1/7

days

4.

A alone can

complete

a

work in 20 da

and A

and

B together

can complete

.

days.

In how

many

days B a

complete the work?

a 10 days

c 60

days

5.

A

andB together

ca

12 days. A alone can

f

B does the

wo

:

then

in

how

Willcamp

a

10 da s days

c 1 days

6. A c n

the

same time

in

whic

and

c

tog

r

can do

it. If A

and

B toge

do t

in 10 days

and

C

alone in

5 then

B alone could

do it

in?

a 15 days b 20 days

c 25 days . d 30 days

7.

A and B

together can do

a piece

of work in

12 days, which Band C

together

can

do in

16 days. After A has

been

working at it for

5 days and B for 7 days, C finishes

it

in

13

days. In how many days C alone will do the

work?

a

16

c 36

b 24

d 4

8. 5

Skilled

w o r k e r ~

can

build a wall

in

20

days, 8 semi-skilled workers

can

build a

wall

in

25 days;

10

unskilled workers can

build a wall

in

30

s. f

a team

has

2

skilled,

6 semi-skill, amd 5

unskilled

workers, how will ke

to

build the

wall? G A T E ~ 2

a 20 d

c

16

9. A

days

. pipes in 10

and

15

tively

then

emptied by a

hours.

f

all the three taps

at

time the tank

s

filled?

b 24

hrs

d 30 hrs

taps

can

fill

an

empty

:

tank

in

36

utes

and 60

minutes respectively. A .

third

tap

can

empty

the

full

tank n

90

minutes.

At what

time

will an

empty

tank

be

filled

if

all

the

three are

opened

simultaneously

at

8.50 A M ~ ?

a 9:00 A.M. b 9:20 A.M.

c

9:30 A.M.

d 10:00 A.M.

11.

Two pipes

can

fill

half

of

the

tank in 20

minutes. If

one

of

the

pipes fills the whole

tank

in

60

minutes, Hnd the time taken by

the

other

pipe

to fill

the

tank individually?

a

90

min

b

135 min

c 100 min

d 120

min

12. A tank is normally filled

in

8

hours

but

takes two

hours

longer to fill because of a

leak in its

bottom.

f the tank

is

full, the

leak

will empty

it

in

a

20 hrs b 25 hrs


21/25

TIME

AND

WORK

c 30 hrs

d)

40 rus

13. A tap can a fill a tank in 20 minutes and

another can empty it in 15 minutes. When

the tank is 3/4

tb

full, both taps are opened.

In what will the tank be completely empty?

a

45 min b) 24 min

c 30

min

d 40

min

14.

It

takes 30 minutes

to

empty a half-full tank

by draining it at

a

constant rate. I tis

decided to simultaneously pump water mto

the half-full tank while draining What is

the rate at which water has

to

be pumped

in so that it gets fully filled in 10 minutes?

GATE-2014)

a 4 times the draining rate

b) 3 times the draining rate

c 2.5 times the draining rate

d

2 time,s the draining rate

15. Two pipes can ill a .tank in .

24 minutes respectively.

can empty 9 gallons

three pipes working

tank in 15

tank is

0

gallons

16. A ould empty it in 8

full, a tap

is

turned

litres a minute into the

tank and k

is

now emptied in 12

hours. How many litres does the tank hold?

a

8840 litres b) 8540 litres

c 8000 litres d 8640 litres

17

.

If

two pipes function simultaneously, the

reservoir

will

be filled in 12 hours. First

pipe fins the reservoir 10 hours faster than

the second. How many hours does it take

the fIrst pipe alone to

fIll

the reservoir?

a 25 hrs

c

60 hrs

b) 20 hrs

d) 30 hrs

18. A father and son together can complete a

job in 6 days. father alone can

complete it in 8 days. of

them

worked

for three days

r

had to

leave.

In

the son

work?

b) 18 days

. d)

12

days

wor alone can do a work

d 15 s respectively. They sta.tted

,

tog

ther, but

B

left after

d A finished the remaining

5 days. After how many days from

did B leave?

b) 3 days

days d) 8 days

O

A can do a work in 12 days. When he had

w:orked for 3 days B joined him. f they

complete the remaining work in 3 more

days.

In

how many days B alone can finish

the work?

a 5 days b) 6 days

c

8 days

d

9 days

21. Pcan

complete a piece of work in 20 days

and Q in

30

days. P worked alone for 4

days and left, then Q completed the

remaining work along with R in 18 days. In

how

many days can R working alone

complete the work?

a 60 days b) 72 days

c

80 days

d

90 days

22.

A and B can do a work

in

12 days;

Band

C

in 15 days; C and A in 20 days. They

all

work together for 8 days and then A left. In

.


22/25

TIME AND WORK

how many more days can

Band

C finish

the remaining work?

a 3 days b) 2 days

c 4 days d) 6 days

23. Three taps can fill a tank in 10, 15and 18

minutes respectively.

In

an empty tank

all

the three taps are kept open and after 3

minutes the third tap is closed.

In

how

many minutes more will the tank

be

full?

a

1 min

c 2 min

b) 3

min

d 4

min

24. Two pipes P and Q can fill a tank in 12

minutes and 18 minutes respectively. They

are turned on

at

the same time. If the tap P

is turned

off

after 4 minutes,

how

long

will

tap

Q

take to fill the rest tank?

a

8 min b) 9 min

c 7 min d) 10 min

25.

Two

pipes P and

Q

can

ill

a

ta

minutes and 15 minutes

re

an empty pipe R can emp

The

pipes P and

minutes and then the

opened. In what

a

10 min

ely

an do a piece

respectively. They

starting with A on

ow

many days

will

the

work be c d?

a 4 days b) 6 days

c

10 days

d

8 days

27, P and

Q

working separately can

do

a piece

of

work in 12 and 15 days respectively.

They work on alternate days starting with

Q on the fust day. In

how

many days will

the work be completed?

a 13 1 4 days b 13 2 5 days

c 13 3 4 days d 13 days

28. P and

Q

working separately can

do

a piece

of

work in 18 and 24 days respectively. In

how many days will the work be completed

if

they work

on

alternate days?

a

20

1 2

days b) 20

2 3

days

c 21 days

d

, ta Inadequate

29. A can do a work in 8 s, B can do a work

in 7 days, C k in 6 days. A

works

on

the on the

third day

wor

on alternate

.sh the work?

b) 7

1 21

days

d

8 days

wor n 72 days. B can do the

ays and C can do work in 78

tee of them work on alternate

days 1. A works on the 1st day. B works

e

2nd

day, C on the 3rd day and so

.

On

which day will they finish the work?

a 55th day b 54th day

c 56th day

d

49th day

31. A,B and C can do a piece

of

work in 40,60

and 120 days respectively. In

how

many

days can A

do

tqe work,

if

he

is

assisted by

Band

C and every third day?

a

10 days b)

32

days

c 30 days

d

60 days

32. Three taps P, Q and R can fill a tank in 12,

15 and 20 hours respectively.

f

P is opened

all

the time and

Q

and R are opened for 1

hour each alternatively starting with Q, the

tank

will

be full in

a 8 hrs

c

7 hrs

b 9 hrs

d

6 hrs

33. A piece

of

work can be done

by

16 men in

8 days working 12 hours a day.

How

many

men are needed to complete another work ,


23/25

TIME AND WORK

which is three rimes the ftrst one in 32

: :

.,.

.

. '.:.

:

days working

8 houts

a day?

a

18 men b) 24

men

c

20 men

d)

30 men

34. 15 men take 10 days to complete a job

working

12

hours aday.

How

many hours a

day should 10 men

work to

complete the

job in 20 days?

a 20 hours b} 8 hours

c

9 hours

d}

10hours

35 25

men

take 25 days to construct a wall 10

m high. How many men would be required

to construct a slmilar wall, which is 8 m

high,

if

it is planned that the work would be

completed in 10 days?

a) 32

c) 44

36.

A

contractor decided to

b)

50

d 48

in

40 days _

and

employed

beginning

and

40

men

days and

got

. he work

schedule. I

f

he

additional

would he

work?


24/25

NUMBER SYSTEM

,

L n

a knock-out tennis tournament of 128

players, what is the number of matches

played to decide the winner?

c 9153 d) 9351

8, There are 576 boys and 448 girls in a

school that are to be divided into equal

sections

of

either boys or girls alone.

Find the least number

of

sections that

can be formed?

-

a 128 b 127

c

64

d)

129

2.

In

a knock-out tennis tournament

of

63

matches, were played to decide the

Vv1nner of

the tournament.

What is

the

number

of

players in the tournament?

a

62

b)

63

c

64 d) 126

3. A printer numbers the pages

of

book

starting with 1 and uses 3189 digits

in alL

How many pages does the book have?

a

1000 b) 1074

c

1075 d 1080

4. Raja was given, a problem

of

adding

certain number

of

consecutive na

numbers starting from

1.

By mist

added a natural number

obtained the sum

as

82

.number that was added

a

5

b) 15

5. ~ n

a number is

remainder

is

25.

divided by

a 3

6.

Y 36 leaves a

is the remainder

ki-\.UlUUer is divided by 17?

b

6

.

1i1

W l:

l

ii j; T;i

;

9.

a 24

b)

32

d 48

. . ferent qualities

'ty,

465

gallons of

e

east possible

o qual size in which

of < . > ferent qualities can

;>

tnlXlllg.

c 26

d 40

ells ring at the intervals

of

6, 8,

12

.seconds. They start ringing

er at 12 o'clock. After .

how

many

s conds

will

they ring together again?

a

72

,


25/25

NUM ER SYSTEM

,

a}

2519

c) 7559

b) 2521

d)

7561

14.1 have a few sweets of be distributed. f

keep 2, 3 or 4 in apack,

I

am left

with

one sweet. f keep 5 in a pack,

I

am left

with

none. What is the minimum

number of sweets I have to pack and

distribute?

a) 25

b) 37

c)

54

d)

65

, 15. Raju has 14 currency notes

in

his pocket

consisting

of

only Rs.20 notes and Rs.10

notes. The total 1I].oney value

of

the

notes is Rs.230. The number of Rs.l0

notes

that

Raju has is (GATE - 2012)

AS b) 6 c) 9 d) 10

16.Three

friends R, Sand T shared

from a b o w i ~

R

took

3

m

of

but returned four to the

17.

1

4th

of

what

was left

toffees to the bowl. T

remainder but

the bowl.

If

the

1) received a

Christrri

aptitude booklet2

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