# Changepond Placement Papers-Free Download

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1. To complete a piece of work A and B take 8 days, B and C 12 days. A,
B and C take 6 days. A and C will take :
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A.7 Days
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B.7.5 Days

C.8 Days

D.8.5 Days

Ans:C

Ex:Given (A+B)'s one day's work = 1/8

(B+C)'s one day's work =1/12

(A+B+C) 's 1 day's work =1/6

Work done by A, alone= (A+B+C) 's 1 day's work - (B+C)'s one day's work

=1/6 - 1/12 ={2-1}/12 =1/12

Work done by C, alone = (A+B+C) 's 1 day's work - (A+B)'s one day's
work

=1/6 - 1/8 ={4-3}/24 =1/24

=> (A+C)'s one day's work = 1/12 + 1/24 = {2+1}/24 = 3/24 = 1/8

=> (A+C) will take 8 days to complete the work together

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2. Two pipes can fill the cistern in 10hr and 12 hr respectively, while
the third empty it in 20hr. If all pipes are opened simultaneously,
then the cistern will be filled in
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A.7.5 hr
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B.8 hr

C.8.5 hr

D.10 hr

Ans:A

Ex:Work done by all the tanks working together in 1 hour.

=> 1/10 + 1/12 - 1/20 = 2/15

Hence, tank will be filled in 15/2 = 7.5 hour.

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3. Mr. Ram is on tour and he has Rs 360 for his expenses. If he exceeds
his tour by 4 days he must cut down daily expenses by Rs 3. The number
of days of Mr. Ram's tour programme is
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A.28 Days
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B.24 Days

C.22 Days

D.20 Days

Ans:D

Ex:Let Ram under takes a tour of x days.

Then, expenses for each day = 360/x.

=> 360/{x+4} = 360/x - 3

=> x= 20 and -24

Hence, x= 20 days.

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4. The total age of some 7 years old and some 5 years old children is
60 years. If I have to select a team from these children such that
their total age is 48 years, In how many ways can it be done?
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A.3
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B.2

C.1

D.4

Ans:C

Ex:Let 'a' children of 7 years and 'b' children of 5 years be taken.

Then 7a+5b =48

This is possible only when a=4 and b=4

Hence only one combination is possible.

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5. In an A.P, the 12th term is 7 times the 2nd term and the 8th term is
3 more than 10 times the first term. What is the 5th term of the G.P
whose first term is the first term of A.P and whose common ratio is
equal to the common difference of the A.P.
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A.162
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B.144

C.156

D.136

Ans:A

Ex:Let the progression be a, a+d, a+2d .........

=> a+11d = 7a +7d

=> 6a = 4d

=> 3a =2d

Also, a+7d = 10a+3

=> 7d = 9a+3

=> 7d = 6d+3

=> d=3, a=2

The GP is 2, 2*3, 2*32, 2*33, 2*34

So the 5th term is 162

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6. How many litres of water should be added to a 30 litre mixture of
milk and water containing milk and water in the ratio of 7 : 3 such
that the resultant mixture has 40% water in it?
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A.7 litres
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B.10 litres

C.5 litres

D.None of these

Ans:C

Ex:30 litres of the mixture has milk and water in the ratio 7 : 3. i.e.
the solution has 21 litres of milk and 9 litres of water.

When you add more water, the amount of milk in the mixture remains
constant at 21 litres. In the first case, before addition of further
water, 21 litres of milk accounts for 70% by volume. After water is
added, the new mixture contains 60% milk and 40% water.

Therefore, the 21 litres of milk accounts for 60% by volume.

Hence, 100% volume = 21/0.6= 35 litres.

We started with 30 litres and ended up with 35 litres. Therefore, 5
litres of water was added.

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**7. How many factors of 25 * 36 * 52 are perfect squares? **

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A.20
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B.24

C.30

D.36

Ans:B

Ex:Any factor of this number should be of the form 2a * 3b * 5c.

For the factor to be a perfect square a, b, c have to be even.

a can take values 0, 2, 4. b can take values 0,2, 4, 6 and c can take
values 0,2.

Total number of perfect squares = 3 * 4 * 2 =24

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8. How many integers, greater than 999 but not greater than 4000, can
be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is
allowed?
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A.499
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B.500

C.375

D.376

E.501

Ans:D

Ex:The smallest number in the series is 1000, a 4-digit number.

The largest number in the series is 4000, the only 4-digit number to
start with 4.

The left most digit (thousands place) of each of the 4 digit numbers
other than 4000 can take one of the 3 values 1 or 2 or 3.

The next 3 digits (hundreds, tens and units place) can take any of the
5 values 0 or 1 or 2 or 3 or 4.

Hence, there are 3 * 5 * 5 * 5 or 375 numbers from 1000 to 3999.

Including 4000, there will be 376 such numbers

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9. Three gold coins of weight 780gm, 840gm and 960gm are cut into small
pieces, all of which have the equal weight. Each piece must be heavy as
possible. If one such piece is shared by two persons, then how many
persons are needed to give all the pieces of gold coins?
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A.86
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B.70

C.43

D.35

Ans:A

Ex:HCF(780, 840, 960) = 60

Thus total number of pieces

=> 780/60 + 840/60 +960/60 = 13+14+16 = 43

Total number of person required = 43*2 =86.

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10. A candidate who gets 20% marks fails by 10 marks but another
candidate who gets 42% marks gets 12% more than the passing marks. Find
the maximum marks.
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A.50
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B.100

C.150

D.200

Ans:B

Ex:From the given statement pass percentage is 42% - 12% = 30%

By hypothesis, 30% of x - 20% of x = 10 (marks)

i.e., 10% of x = 10

Therefore, x = 100 marks.

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1. Two trains of equal length are running on parallel lines in the same
direction at 46 km/hr and 36 km/hr. The faster train passes the slower
train in 36 seconds. The length of each train is:

A. 50 m

B. 72 m

C. 80 m

D. 82 m

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2. A train 360 m long is running at a speed of 45 km/hr. In what time
will it pass a bridge 140 m long?
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A. 40 sec

B. 42 sec

C. 45 sec

D. 48 sec

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3. A can do a piece of work in 4 hours; B and C together can do it in 3
hours, while A and C together can do it in 2 hours. How long will B
alone take to do it?
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A. 8 hours

B. 10 hours

C. 12 hours

D. 24 hours

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4. A can do a certain work in the same time in which B and C together
can do it. If A and B together could do it in 10 days and C alone in 50
days, then B alone could do it in:
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A. 15 days

B. 20 days

C. 25 days

D. 30 days

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5. The cost price of 20 articles is the same as the selling price of x
articles. If the profit is 25%, then the value of x is:
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A. 15

B. 16

C. 18

D. 25

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6. In a certain store, the profit is 320% of the cost. If the cost
increases by 25% but the selling price remains constant, approximately
what percentage of the selling price is the profit?
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A. 30%

B. 70%

C. 100%

D. 250%

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7. A vessel is filled with liquid, 3 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?
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A. 1/3

B. 1/4

C. 1/5

D. 1/7

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8. A is two years older than B who is twice as old as C. If the total
of the ages of A, B and C be 27, the how old is B?
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A. 7

B. 8

C. 9

D. 10

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9. Present ages of Sameer and Anand are in the ratio of 5 : 4
respectively. Three years hence, the ratio of their ages will become 11
: 9 respectively. What is Anand's present age in years?
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A. 24

B. 27

C. 40

D. Cannot be determined

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10. The average weight of A, B and C is 45 kg. If the average weight of
A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
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A. 17 kg

B. 20 kg

C. 26 kg

D. 31 kg

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11. A starts business with Rs. 3500 and after 5 months, B joins with A
as his partner. After a year, the profit is divided in the ratio 2 : 3.
What is B's contribution in the capital?
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A. Rs. 7500

B. Rs. 8000

C. Rs. 8500

D. Rs. 9000

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12. A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen
for 5 months and C puts 15 oxen for 3 months for grazing. If the rent
of the pasture is Rs. 175, how much must C pay as his share of rent?
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A. Rs. 45

B. Rs. 50

C. Rs. 55

D. Rs. 60

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13. Which one of the following is not a prime number?
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A. 31

B. 61

C. 71

D. 91

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14. The H.C.F. of two numbers is 23 and the other two factors of their
L.C.M. are 13 and 14. The larger of the two numbers is:
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A. 276

B. 299

C. 322

D. 345

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15. The greatest number of four digits which is divisible by 15, 25, 40
and 75 is:
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A. 9000

B. 9400

C. 9600

D. 9800

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