Friday 15 May 2015

IBM Latest Solve Aptitude Question and Ans for fresher



a manufacturing company has 15% cobalt ,25% led and 60% of copper. if 5kg of led is used in a mixture how much copper we need to use
ans
25%=5kg
100%=20kg
60% of 20 kg= 12kg
12 kg.....

A man bought some mangoes at Rs12 per dozen and bought the same number of at Rs
10 per kg. He sold these mangoes at Rs 13 per dozen and gained Rs 160.The total
 number of mangos bought by him are
Option
A. 60 dozens
B. 70 dozens
C. 80 dozens
D. 90 dozens
ans
let total no of mangoes is 2x..
then we profit=sp-cp
160=13*2x-(12x+10x)
160=4x
x=40
hence 2x=80
so total no are 80dozens
===============
in a bus left side are 15 seats available,3 few seats in right side because in rear
exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 7 people
all together .how many people can sit in a bus?
options:
a)52 b)49 c)95 d)88 e)66 pls explain
ans
Right Side =15 seat
Left Side =15-3 (3 few seat in right side)= 12 seat
Total= 15+12= 27
People can seat in 27 seat= 27*3=81
People can seat in Last Seat = 7
Total People can seat= 81+7=88
Ans= d) 88
Three numbers A,B,Care in ratio 1:2:3. Their average is 600. If A is increased by
10% and B is increased by 20%, then to get the average increased by 5%, C will increased by:
a)90
b)100
c)150
d)180
ans
Let be A= x, B=2x, and C=3x.
(x+2x+3x)/3=600
this will be x=300
so, the numbers will be 300,600,900
new average= 105%of 600= 630
Let 110% of 300+80% of 600 + y= 630*3
solve it for y, you will get, y=1080
so, increase in C= 1080-900 =180 ans
=========================
A and B together can complete a work in 12 days. A alone can complete it in 20 days.
 If B does the work only for half a day daily, then in how many days A and B together
will complete the work?
A. 10 days B. 11 days
C. 15 days D. 20 days
ans
see ,
here given that A and B can do the work in 12 days
so A+B 1 day work = 1/12 unit.................................(1)
also given that , a alone can finish the work in 20 days
therefore
A 1 day work = 1/20 unit........................................(2)
using 1 and 2
we get,
B's 1 day work =1/12 - 1/20
=1/30..............................(3)
---> b can do the complete work in 30 days
now according to statement
if b does the work only half a day then it takes double days (i.e. 60) to complete the work
so now B 1 day work = 1/60.
also we know
A 1 day work = 1/20
now,
A+B 1 day work = 1/60 + 1/20
= 4/60
= 1/15 unit work
hence ,
A and B together will complete the work in " 15 DAYS " (answer)
10 women can complete a work in 7 days and 10 children take 14 days to complete the work.
 How many days will 5 women and 10 children take to complete the work?
A. 1 B. 3
C. 5 D. 7
ans
5 women's 1 day work=1/14
ans= 1/14 + 1/14
= 1/7 units of work
so 7 days
===============================
15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each
 would 21 women take, if 3 women do as much work as 2 men ?
ans
15*21*8=2520 man hrs
3w=2men,
1 w=2/3 men,
6d*21*2/3=2520
d=30days
@@@
formula D = M*D*H/M*H

so Days = 15*21*8/14*6 = 30 Days
===========================================
Q. A certain number of bullets were shared by 3 people equally.Each of them fired 4 bullets
and the sum of the remaining bullets was equal to the initial share each had got. What was
the initial number of bullets?
Ans
lets each one got x bullets .
so total no of bullets= 3x.
a/c to question each person used 4 bullets each one has remains with x-4 bullets.
so (x-4)3=x.
x=6.
so total no of bullets =3x =3*6 =18
60 litres of diesel is required to travel 600 km using a 800 cc engine.
 If the volume of diesel required to cover a distance varies directly as
the capacity of the engine, then how many litres of diesel is required to
travel 800 kms using 1200 cc engine?
Ans
let keep 800 cc constant and calculate amount of diesel for 800 kms.
800*60/600=80 liters.
Now, calculate diesel required for new distance i.e 800 km,
80*1200/800=120 liters.
 If a man walks at rate of 5 kmph, he misses a train by 7 minutes. However, if
 he walks at rate of 6 kmph,he reaches the station 5 minutes before the arrival
of train. Find the distance covered by him to reach the station. [IET] 1)8 km
2)6.5 km 3)6 km 4)7 km
Ans
guys there is a simple frmula for such kind of questions where time interval matters
(S1*S2)/(S2-S1)* time interval
for example
(6*5)(6-5)*(12/60)
so ans will be 6km .
==============================
Prints a page 64 pg per min .If the printed for 3 hours except 10 min.Where there
 was an paper jam,how many page did it print
Options:
a)11,700 b)2860 c)11,684 d)12,140 e)10,600
a person travels from his house to office from 11:10am to 11:50 am and covers a distence
of 13.4km. find the average speed of the person.
Ans
time = 11:10 am to 11:50 am = 40 min = 40/60 =2/3 hr
distance = 13.4 km
avg speed = 13.4 /2/3 = 20.3 km/hr
A company has offices in two different buildings. 50% of the copying machines in the first building and 28% of the copying machines in the second building received preventive maintenance last
month. If 87% of the company’s copying machines are in the first building, what percent of all thecopying machines received preventive maintenance last month?
Ans
50% of 87 machines is 50*87/100=43.5 and
28% of 13 machines is 13*28/100=3.64,
So
43.5+3.64 =47.14
A company organzied a help desk.there have been done 24 hrs work on software,17 hrs
on help user nd 40% on other services.find the total no. of hrs have been worked on
that day?
Ans
let total no of hrs = x
they have done 24+17=41
40% of x is 40/100=2/5
x=41+2x/5
x=68.3
A company rented a machine for Rs.700/- a month. Five years later the treasurer calculated
 that if the company had purchased the machine and paid Rs.100/- monthly maintenance charge,
 the company would have saved Rs.2000/-. What was the purchase price of the machine?
Ans
Let the price of the machine = x rupee
5 year maintenance charge = 100*60 = 6000
so total investment = x+6000
now total rental charges for five year = 700*60 = 42000
so according to given condition 42000-x-6000 = 2000 so x = 34000
A shop sells 17/36 of the total amount of item A, 15/84 of the total amount of item B,
and 3/504 of the totalamount of item C. The shop buys back an amount equal to 2/36 of item
 A. What total fraction of items A, B, and C
does the store currently have?
Ans
17 items were sold out of 36 in A,similarly 15 out of 84,3 out of 504,but 2
are returned back in A,so now we have (15/36)+(15/84)+(3/504) by doing this
we get (210+90+3)/504=303/504.
By selling a product a seller is gaining 10% on selling price. If he sell that product Rs.80 less,
he would have been losing 10%. What is the cost price?
ans 400
=============
An internet recently hired 8 new network,in addvertisement 20 network already employed.All new network cam from university A.In addition 75%of computer addvertisement came from same university A.what fraction of original 20 network addvertisement came from same univerity A?

Ans
Answer is : 13/20

Explanation :
New networks= 8
Already employed networks= 20
Total networks= 28

computer advt. from uni.A= 28*(75/100) =21
out 28 networks 21 came from uni.A
among these 21 we know 8 are newly hired
so 21-8=13 networks among previously employed networks came from uni.A

Answer is : 13/20

Foriegn language broadcast records last 90Mins on each of two sides if it takes 5hrs to translate one hour of broadcast how long will it take to translate 16 full records??

a)256 b)26 c)48 d)144 e)188

Ans
Foriegn language broadcast records last 90Mins on each of two sides.

so total 3 hr recording in 1 full record.
so 48 hr recording in 16 full records.
it takes 5hrs to translate one hour of broadcast
so it will take 48*5 = 240 hrs to translate 16 full records.
====================

A word processing program can shift from one width to another automatically.If a report originally filled 100 lines ,each of which 50 characters wide,how many would be filled where word processing margin set 40 character per line??
Options:
a) 240 b)50 c)80 d)40 e)125
ans

50 character per line ...it means 5000 character in 100 lines...

now if 40 character are set per line....to aqqire 5000 characters number of lines reqd would be 5000/40=125.
==================

As a mean encouraging company employee to use public transportation,employee is offer a $0.60 per side discount bus fare. John has spend $30000 per week from monday to friday.How much cost pay after the discount?
ans

0.60 per side = 0.60*2 = $1.20 Per day.
1.20 * 5 = $6
30000 - 6 = $ 29994

Two merchants sell, each an article for Rs.1000. If Merchant A computes his profit on cost price, while Merchant B computes his profit on selling price, they end up making profits of 25% respectively. By how much is the profit made by Merchant B greater than that of Merchant A?
Option
A) Rs.66.67
B) Rs. 50
C) Rs.125
D) Rs.200
ans

B) 50
profit on cost price = 1000-(100/125)*1000= 200 (selling price-cost price)
profit on selling price = (25/100)*1000 = 250
difference = 50

. In a class the average age is 16yrs.if the teacher who is 40 yrs of age is also included ,the average
becomes
17yrs,how many students were there?
ans
TOTAL= 16X

TOTAL +40 = 17(X+1)
16X +40 = 17(X+1)
X= 23.Ans.
==================

5 machines are used for to complete a work at 10 hrs, 2 of the machine speed increased by 25%. How long it will take to complete the same works?

ans

each machine got 2hrs to complete work,so for 100% actual speed time is 2 hrs then..taking 25% in that the work complete for half an hour...so,there are two machines so one hour....(reduced)...then the ans will be
9 hrs
================

 a lawn,grass grows equally thick and uniform rate every day.It takes 24days for 70 cows
to graze and 60 days for 30 cows.How many cows are required to graze lawn in 96 days.
ans

20 cows

If C is the amount of grass eaten by one cow every day
and G is amt of grass growing every day,
x is the initial amount of grass, then
x+24G= 70*24*C
x+60G= 30*60*C
solving, G = (10/3)*C
x= 1600C
If n cows are required to graze lawn in 96 days,
1600C+ 96G= 96*n*C
1600C+320C=96nC
n=20 cows
==========================

A person has Rs 100/- in his pocket, he can as 25 pencils or 15books. He kept 15% of the
money for travelling expenses and purchased 5 pencils.So how many books he can purchase with
the remaining money
ans

price of 1 pencil=100/25=4
price of 1 book= 100/15=20/3
for travelling expenses=rs15(15%of100)
remaining amount=rs85
cost of 5 pencils=4*5=20
now remaining amount=rs65
in 1rs ---------- 3/20 books can purchased
so in rs65 -------- 3/20*65=39/4=9 3/4
so 9 books he can purchase with remaining money


two sofftware engineers each programmed 840 lines of code for a paarticular job.The first s/w engineer programmed 20 lines of code per minute.The second can do 11.5 lines of code.How many did the 2nd s/w engnr have left to do ?

Ans

for 1st s/w engg.
20 lines -> 1 min
840 lines -> 840/20 = 42 min.

for 2nd engg.
1 min -> 11.5 lines
42 min -> 42 * 11.5 = 483 lines.

840 - 483 = 357 lines are left to do by 2nd engineer.

ans is 357 lines
=====================================

driving her car t o work 4days per week one costs $7.00 aday for parking and 36.00 a week for fuel.how much would she save week by taking a bus at afuel at a fare fo $1.30 each way?

ans

7*4=$28 & $36 for fuel
tot=28+36=$64
per day by bus=2*1.30=2.60 for week 4*2.60= $10.40
save=$64-$10.40=$53.60
==================

A person is responsible for Loading reviews for the games & desktop computers onto a website it takes 30mins to load a half page review how long will it take to load half page review for ach of 8 desktop computers

Ans

ans: 30*8=240
240/60=4hrs


as a means of encouraging campany to use ,an employ public transpoartation ,an employ is offering $10.30 per ride discount on bus fair.Jon noramlly spend $29.00 per week to reide on the bus to and from work monday to friday.Hw much will if cost him after the discount

ans

Ans) Rs.10.41
per week jan spent 29.00rs.Per day jan spent 4.14 rs
for 5 days he spent 20.71 rs.
company discount rs 10.30
after discount 20.71-10.30=10.41rs.


A new product cost %0.75 in raw matr,$4.04 for manufactring and $0.29 to market.if the product is advertised to sell for $5.10,how much units must be added to provide a net profit of $5600?

Ans

1 product total cost = .75+4.04+.29 = $5.08
s.p. = $5.10
profit of selling of 1 product = $0.02
number of products to gain profit of $5600 = 5600/.02 = 280000

answer 280000)
======================================================
kevin board the bus at 9:36 am,and if travel the 35.4 km distance to his office by 10:16am.what is the average speed of the bus during his entire journey?
a 70.8 km.hr b 35.4km/hr c 106.2 km/hr d 108.2 km.hr

Ans
9:36to 10:16 = 40min that is 2/3hr
Distance = 35.4/(2/3)= 53.1km/hr
0r
time = 40/60= 2/3
dis= 35.4
same dis so, avg speed= 2*dis/t
= 2*35.4/(2/3)
=106.2 km/hr
================

The number of calls coming into a call center on Tuesday are 5/11 more than 1/4 the number that came in on Monday. The total number of calls for the two days together was 270. How many calls came in on Tuesday?

a) 50
b) 61
c) 20
d) 72
e) 18

Ans

The regular longer method is framing the equations and solving those equations.

If we take the number of calls on Monday as x, the number of calls on Tuesday are
¼ x + 5/11 * ¼ x
=1/4 x + 5/44 x
= 16/ 44 x

The total number of calls on two days is 270
X + 16/44 x = 270
60/44 x = 270
Solving x we gat x as 198.
The number of calls on Monday is 198, which implies the number of calls on Tuesday is 72

72 is the answer.
==============

Computer chip cost 25$ each, plus a license fee of 775$ per year. If a company spends 75775$ over on computer chips over a three year period, How many chips did it buy?

2935
2938
3000
3031
25258
solution cost of 1 chip 25
therefore 25x + (775*3) = 75775
x = 2938
===============

If a certain computer is capable of printing 3900 monthly credit card bills per hour, while a new model is capable of printing at a rate of 6300 per hour, the old model will take approximately how much longer than the new model to print 10300 bills?

a) 97
b) 258
c) 60
d) 106
e) 14
ans

the old computer will print 10300 bills in 10300/3900 hours = 103/39
the new computer will print 10300 bills in 6300/10300 hours = 103/63
the time difference is 103/39 - 103/63 = (6489 - 4017) / 39*63 = 2472/2457 = 1 hour = 60 minutes

the answer is c) 60


Find the cash required to purchase Rs. 1600, 17/2 % stock at 105. (Brokerage 1/2%)
Ans

for 100 stock it required cash is 105+1/2
because 1/2 is brokerage it is added to because of purchasing.
so 100 stock purchased cash required is 105.5
1600 stock purchased cash required is 1600*(105.5/100)=1688
===============================

36 identical chairs must be arranged in rows with the same number of chairs in each row. Each row must contain at least three chairs and there must be at least three rows. The row is parallel to the front of the room. How many different arrangements are possible? Pick one of the choices
a) 2 b) 4 c) 5 d)6 e) 10

Ans

(3,12),(4,9),(6,6)(9,4),(12,3)
no of diff. arrangement=5


A pension fund has a total of $1 million invested in stock of the ABC company and the bonds of the DEE Corporation. The ABC stocks yields 12% in cash each year, and the DEE bonds pay 10% in cash each year. The pension fund received a total of $115,000 in cash from ABC stock and the DEE bonds last year. How much money was invested in ABC stock?
a)$750,000 b)$600,000 c)$500,000 d)$333,333.33 e)$250,000
Ans.
s+b=1000000----1 (1 million=1000000)
.12s+.1b=115000----2
solving 1 and 2,we get s=750,000 (a) is correct ans.
==========================

Today 1999, the age of Mohan and his grandmother differ by 6 years. Before 50 years Grandmother age was twice as that of Mohan. What is the present age of Mohan?
ans

Let before 50 year grandmother's age 2x then mohan's age was x
So now (2x+50)-(x+50)=6
X=6 year
So present age of mohan=6+50=56 year
=============================

In 1930 the father's age is 8 times of son's age. in 1938 father's age is 10 times of son's age in 1930. in 1940 what is their age's

Ans

In 1930 f=8s; In 1938 I.e 8 years after f+8=10*s;
8s+8=10s=>s=4
Therefore f=8*4=32 in 1930;
In 1940 I.e after 10 years f=42,s=14
===================================================

Nikhil spent 45% of his monthly stipend on food and transport. 20% of the
remaining on book and half of the remaining on the other expenses. If he is left
with Rs.880 now, how much is his monthly stipend
Ans.

let X be the monthly stipent.... then
(1/2)*80%*55%*X= 880
X= rs. 4000
===============
A watch was sold at a profit of 15%. If its cost had been 5% less and it had been sold for Rs. 21 less, than the profit would have been 10%. Find the cost price of the watch
ans

So let cost price =100
then 1st selling price =115(profit 15%)

the second cost price =95(cost price is 5% less)
then second price =95+10% of 95=104.50

therefore the difference in selling price =115-104.50=10.50
bt actual difference is 21

if difference is 10.50 the cost price=100
if difference is 21 the cost price =(100/10.50)*21=200
so x =200 (answer)
===========================================================
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
A. 40 minutes B. 1 hour
C. 1 hr 15 min D. 1 hr 30 min
ans

upstream speed = 2km/h
downstream speed = 6km/h
speed in still water = 1/2(6+2) = 4km/h
so to cover 5 km 75 minutes or 1h15m requires.
=============

There are 9 popsicles: 3 orange, 3 cherry, 3 grape. There are 4 children. What is the
probability that all 4 children will get the flavor of their choice?

Ans

Consider the 4 children. Each of them has a flavor preference, and so
there are 3x3x3x3 = 81 possibilities for what the kids want (we assume
that each kid does in fact want one of the three flavors: orange,
cherry, or grape).

Of these 81 possibilities, 3 of them mean that one child will be
unhappy: OOOO, CCCC, and GGGG (i.e., when all four of them want the
same flavor as the others). For all of the other possibilities (e.g.
OOCG, OOOC, OOCC,...) there are going to be enough popsicles of the
required flavors.

Assuming that each of the 81 possibilities is equally likely,

Pr(4 happy kids) = 1 - Pr(at least one unhappy kid)
= 1 - 3/81
= 1 - 1/27
= 26/27
=============
A jar contains 2 red, 3 blue, and 4 green marbles. Niki draws one marble from the jar, and then Tom draws a marble. What is the probability that Niki will draw a green marble and Tom will draw a blue marble?

Ans
4/9 * 3/8 = 1/6

A person can buy 50 cds with $135 and 15 dvds with $100 nikitha has a budjet of $1680 for
cds & budget of $150 for dvds
How many cds & dvds in total can she buy?

Ans
cds--(50*1680)/135=622 apprx
dvds--(150*15)/100=22 apprx
in total=644 apprx
================================
A father of 6 children takes 2 of his children at a time to a circus as often as he can, without
taking the same pair of children together more than once. How many times does the father go to
the circus?

Ans

He has to choose 2 children from 6
total number of combinations=6c2=15
Father goes to circus 15 times
===================================
A set of 7 pens, 9 erasers and 11 sharpeners costs Rs 79 and 2 pens, 5 erasers and 8
sharpeners cost Rs 42. Find the total cost of one sharpeners, one eraser and one pen.
Ans
7P+9E+11s=79 ---1
2P+5E+8S=42---2

eliminating P.... eq1 *2 - eq2*7 , gives
17E+34S=136 ----3


eliminaing S ....eq1*8-eq2*11, gives
34P+17E=170 ----4


adding eq3 and eq4,

34P+34E+34S=306


P+E+S=9
========================
8 chairs are numbered from 1 to 8. Two women first choose two chairs from those marked 1 to 4 and 3 men selects 3 chairs from the remaining. Find the number of possible arrangements

ans
1,2,3,4,5,6,7,8 are 8 chairs.
two women first choose two chairs from 1,2,3,4
in 4p2 ways = 12 different ways
3 men selects 3 chairs from the rest 6 chairs = 6p3 = 6*5*4 = 120.

Total number of possible arrangement = 12*120 = 1440.


a company decided to install a fountain within it main entrance lobby.if fountain is to be 148
cm wide 297 long and 91 cm deep,how much water would be required to feel the fountain to a
depth of 69cm?(1liter=1000 cubic centimeters)
ans
we may do it like this
148*297*69/1000
=3033 liters
===================
a container of production line solvent is mixed at 22% strength and another is mixed at 53%
strength.to obtain 12 liter of a mixture that is 25% strength,how many liter should be used from
the container that is mixed at 53% strength?

Ans
ans 1 5/31

simply use the shortcut link up process for finding the ratio.

22 53
25
(53-25) (25-22)
28 3

so the ratio should be 28:3
so 53% strength solvent is 12*3/31
36/31
==============

IN a lawn,grass grows equally thick and uniform rate every day.It takes 24days for 70 cows to graze and 60 days for 30 cows.How many cows are required to graze lawn in 96 days.

Ans
20 cows

If C is the amount of grass eaten by one cow every day
and G is amt of grass growing every day,
x is the initial amount of grass, then
x+24G= 70*24*C
x+60G= 30*60*C
solving, G = (10/3)*C
x= 1600C
If n cows are required to graze lawn in 96 days,
1600C+ 96G= 96*n*C
1600C+320C=96nC
n=20 cows
========================
What sum of money will accumulate to Rs.5300 at 8% rate of interest in 9 months?
Ans 5000
The printed price on a book is 400, a bookseller offers a 10% discount on it. If he still earns a
profit of 12&, the CP of the book is
a) 280
b) 352
c) 360
d) 300
ans
S.P= 360 Rs.
If Profit = 12% then 1.12*C.P = S.P
1.12*C.P = 360
C.P= 321.43 Rs.
And If Profit=12 Rs. then C.P= 348 RS.
As there is ambiguity in question.
=========================================
17)A thing cost $500,the amount is decreased by 20%,then how much less must be paid?
ANS:
100$
Price after 20% decrease=500-(500*20/100)=400
Amount less to be paid=500-400=100
==

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