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332 Aptitude Questions And Answers

101⟩ In 80 coins one coin is counterfeit what is minimum number of weighing to find out counterfeit coin?

make group of 30 30 and 20 coins

in first weight 30 30

if they are same then coin is in group of 20 if not then it is in lighter one

after one weight u got 30 coins in which lighter is present

in second make three group of 10 10 10 and weight any two group

if both are same then coin is in third one else in a lighter one

after two weight u find 10 coins in which lighter is present

in third

make group of 3 3 4

and weight group of 3 3

if they are differ then u get the three else u get the group of 4

in fourth

if u get three weight any two and find the lighter one

but if u get four there is a need for fifth weight

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102⟩ A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were?

Assume ,

n=Number of cats and

m=Number of mice per cat

Given that,

n*m=999919 and m>n

Solution,

n*m=(1000000-81)=1002-92=(100+9)*(100-9)=109*91=109*13*7

Finally , n*m=109*13*7

The following possibilities are rules out because m>n

Number of Mice per cat (m)

Number of cats(n)

91

109

7

109*13

13

109*7

1

109*7*13

109*13*7

1

So n and m can take the following values (possibly)

Number of Mice per cat (m)

Number of cats(n)

109

91

109*13

7

109*7

13

I think any of the above 3 could be the answer.

Let me know if you get to know any other solution!!!

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105⟩ The temperature at Mumbai is given by the function -t2/6+4t+12 where t is the elapsed time since midnight. What is the percentage rise (or fall) in temperature between 5.00PM and 8.00PM?

ans is 16 percent

let T eqals = -t^2/6+4*t+12 ( where t is elapsed time)

rate of change in temp. eqals dT/dt

dat is -4t^2-36t/(18+4*T)^2

here time elapsed is 3

putting the value t eqal 3

we get 144/900

so percentade change

(144/900)*100

ans 16 percent

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108⟩ 3 men finish painting a wall in 8 days. Four boys do the same job in 7 days. In how many days will 2 men and 2 boys working together paint two such walls of the same size?a) 6 6/13 daysb) 3 3/13 daysc) 9 2/5 daysd) 12 12/13 days

3 men -> 8 days

as men decrease => days increase

=> 1 man ->24 days =>1 man's 1 day work = 1/24

4 boys -> 7 days

=> 1 boy ->28 days => 1 boy's 1 day work = 1/28

so 2 men + 2 boys 1 day work = 2/24 + 2/28 = 1/12+ 1/14 = 13/84

so 2men + 2boys finish 13/84 of work in 1 day

so days to finish total work = 84/13 i.e 6 6/13

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110⟩ In the following figureA DB G EC FEach of the seven digits from 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 is a)Represented by a different letter in the figure above. b)Positioned in the figure above so that A*B*C,B*G*E, and D*E*F are equal.Which digit does G represent?

As given

A*B*C=B*G*E=D*E*F

hence

A*B*C=B*G*E-------(1)

B*G*E=D*E*F--------(2)

from 1

=> G=AC/E

and from 2

=>G=DF/B

since

AC/E=DF/B----------(3)

Here we have 0 to 9 numbers so we arrenge the numbers in equation 3 as it satisfy

so 3*6/9=2 so value of A and C should be 3and 6, And E=9

And 1*8/4=2 n value of D and F should be 1 and 8 and B=4

so the value of G is 2

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112⟩ A man has to get air-mail. He starts to go to airport on his motorbike. Plane comes early and the mail is sent by a horse-cart. The man meets the cart in the middle after half an hour. He takes the mail and returns back, by doing so, he saves twenty minutes. How early did the plane arrive?

Plane comes 20 min early than seduled because let assume plane's arrivel time is 2:40 and distance b/w home and airport is 40 min so, man starts at 2:00 and at 2:20 he reach at middle and plane arrive now at 2:30 he meet horce cart who has his airmail. Now, he come back at home at 3:00 but if plane will be on time than he will reach at airport at 2:40 and come back home at 3:20 so, this way he saves 20 min because of early arrival of plane

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113⟩ In a company 30% are supervisors and 40% employees are male if 60% of supervisors are male. What is the probability? That a randomly chosen employee is a male or female?

supervisers are also employees they are 30% in total employees.40% of employees are male, no matter they are superviors or non supervisers ,probability that choosen employee shold be male is 40C1/100C1.i.e. 0.4some body has given prob is 1. there are not fully male how can it be?

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114⟩ My flight takes of at 2pm from a place at 18N 40E and landed 10 Hrslater at a place with coordinates 36N40W. What is the local time whenmy plane landed?1. 8.00pm 2. 6.00pm 3. 12.00am 4. 6.40pm

it must be done as follows,

subtract the two i,e; 36n40w-18n40w=18

now multiply 18 with 4 = 72min = 72/60hr

now we must add or subtract this 72/60hr to 2p.m to get the ans. i dont remember exactly whether to add or subtract.

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118⟩ Find out what day of the week was January 12, 1979?

when we move down in yearwise a day decreases. but when a leap year comes 2 days gets decreased..for e.g.

12 jan 2008 --- saturday

12 jan 2007 --- friday

12 jan 2006 --- thursday

12 jan 2005 --- wednesday

12 jan 2004 --- monday..

so in 4 years five days gets reduced... so in this manner we can find out in which year wat day was on 12 jan..

ANSWER ----- it was friday on 12 jan 1979......

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120⟩ A optical cable is to be run from a junction point on the bank of a river 900 meters wide to an office that is located 3000 meters downstream on the opposite bank. If the cost of laying cable under water is Rs. 5 per meter and that of laying overhead on land is Rs. 4 per meter, find the point downstream where the cable is to cut across the river.(a) 450(b) 3900(c) 1800(d) 2100(e) 2700

1) 450

Since cost of putting cable on land is less than that under water.

So we lay cable mostly on ground so best solution is 450

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