Aptitude model placement papers with solution - set 10
1. A man sells 45 lemons for Rs 40 and loses 20%. At how much price should he sell 24 lemons to the next customer to make a 20% profit?A. 32
B. 20
C. 24
D. 16
View Answer / Hide AnswerANSWER: A. 32
Solution:
Let cost price of lemons be x.
Selling price of lemons becomes CP - loss.
=>SP=x-(20/100)x
=>40=x(80/100)
=>50
So 45 lemons cost Rs 50
Cost of 1 lemon = 50/45 Rs
Cost of 24 lemons = (50/45)*24 =80/3 Rs
Selling Price of 24 lemons =(80/3)+(20/100)(80/3)=Rs 32
A. 1
B. 121
C. 100
D. 1000
View Answer / Hide AnswerANSWER: D. 1000
Solution: It is mentioned that m and n are 2 whole numbers.
mn=121. Clearly 112 is121.
=>m=11 .and n=2
=>(m+1) n+1 = (10) 3
=>1000
A. 1/2
B. 2/3
C. 3/5
D. 2/5
View Answer / Hide AnswerANSWER: B. 2/3
Ans: Let the fraction be x/y.
=> (x+1)/y = 1
=> x+1 = y—(1)
x/(y-1) = 1/2
=> 2x = (y+1)—(2)
=>Equating (1) and (2)
=> x+1 = 2x-1
=>x=2
Subsituting the value of x in (1)
=>y=3
=>2/3
A. 1:4
B. 1:2
C. 2:1
D. 2:3
View Answer / Hide Answer5. What is the minimum number of years upon which SI on Rs 2600 at 6.67% interest rate will be in whole number?A. 2
B. 6
C. 3
D. 4
View Answer / Hide AnswerANSWER: C. 3
Solution: Simple Interest =Principal * Rate * Time
Principal = 2600 Rs
Interest Rate = 6.67%
=> SI = 2600 * (20/3)*Time
SI of the number will be a whole number for the first time when time is three as denominator of rate is 3.
Hence time should be set to 3 years.
A. 12.5 kmph
B. 10 kmph
C. 9 kmph
D. 8.5 kmph
View Answer / Hide AnswerANSWER: B. 10 kmph
Solution: Let the speed of man in still water be x km/hr
Now, speed with current=15 km/hr
Speed of current: 2.5 km/hr
Speed of man with current: Speed of man in still water+Speed of current
=>15=x+2.5
=>x=12.5
Speed of man against the current: Speed of man in still water-Speed of current
=>12.5-2.5
=>10 km/hr
A. 25%
B. 20%
C. 14.29%
D. 33.33%
View Answer / Hide AnswerANSWER: B. 20%
Solution: Let the jar initially contain 8 litres of mixture:3 litres water and 5 litres alcohol
Let x litres of this mixture is drawn out and is replaced by x litres of water.
Amount of water now in the solution: 3-(3/8)x+x.
Amount of alcohol now in the solution: 5-(5/8)x
Desired ratio: 1/1
=>3-(3/8)x+x=5-(5/8)x
x=8/5 litres
%x=((8/5)/8)*100=20%
5, 8, 20, 42, 124, 246
A. 20
B. 42
C. 124
D. 246
View Answer / Hide AnswerANSWER: A. 20
Solution: The series is followed on the pattern of 2 alternate sequences with common formula being 2n-2 and 3n-2 respectively.
8 = 2*5-2
22 = 3*8-2
42 = 22*2-2
124 = 42*3-2
246 = 124*2-2
Hence, 20 is the odd no.
A. 10.25 days
B. 11.5 days
C. 12.75 days
D. 9 days
View Answer / Hide AnswerANSWER: A. 10.25 days
Solution: A takes 9 days to complete a piece of work. B takes 12 days to complete a piece of work.
=> In one day A came complete 1/9th of the task(x/9)
=> In one day B can complete 1/12th of the job.(x/12)
First day x/9th work will be done next day x/12th and so on:
Together A and B can do x/9 + x/12 work.
=>(x/9) + (x/12) = 7/36th work done
In 10 days 35/36th of the work will be done.
On 11th day it will be A’s chance. It takes A 1 day to complete 1/9th work.
So, 1/36th work will be done in 1/4 days.
=>10.25 days
A. 5
B. 10
C. 25
D. 125
View Answer / Hide AnswerANSWER: A. 5
Solution: 125 can be written as 53.
Substituting this in equation:
=>51/4*(53)0.25
=>51/4*53/4
=>51/4+3/4
=>5
