aptitude ques with answers

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1.In the class of 40 students, 30 speak Hindi and 20 speak English. What is the lowest possible
number of students who speak both the languages?
ans:10
(a) 5 (b) 20 (c) 15 (d)10 (e) 30
Ans: formula: n(both)=n(English) + n(hindi) – n(total ppl)
=20+30-40
=10 ---- ans

2. A salesperson by mistake multiplied a number and got the answer as 3, instead of dividing
the number by 3. What is the answer he should have actually got?
ans:1/3
(a) 0 (b) 1/3 (c) 1 (d) 2 (e) 3
Assume 1
1*3=3
1*1/3=1/3
So he has got 1/3
This is answr

3. A tree grows only 3/5 as fast as the one beside it. In four years the combined growth of the
two trees is eight feet. How much does the shorter tree grow in two years?
ans: 1 ½ feet
(a) Less than 2 feet (b) 2 feet (c) 1 1/2 feet (d) 3feet (e) more than 3 feet.
X=(3/5)y
4(x+y)=8
Solvin these equation…u get answr…
Simple….

4. A family, planning a weekend trip, decides to spend not more than a total of 8 hours driving.
By leaving early in the morning, they can average 40 miles per hour on the way to their
destination. Due to the heavy Sunday traffic, they can average only 30 miles per hour on the
return trip. What is the farthest distance from home they can plan to go?
ans: B
(a) 120 miles or less (b) Between 120and 140 miles (c) 140 miles (d)Between 140 and 160
miles (e) 160 miles or more
Avg speed= (x+y)/2xy= (30+40)/2*30*40=avg speed..find
distance covrd in dis time by formula,, distance=speed*time
And continue wid thinkin
(this prb cannot b solvd exclusively by formula...hav to
hav logical thinking)

5. My flight takes of at 2am from a place at 18N 10E and landed 10 Hrs later at a place with
coordinates 36N70W. What is the local time when my plane landed.
a) 6:00 am b) 6:40am c) 7:40 d) 7:00 e) 8:00
ans: 4 hrs
here u hav to add the degrees…I mean 10+70=80 degrees..(10E + 70W)
I wil tel u the simpler way of solvin this ques…..
Nw 80*4=320 mins( multiplied by 4 bcoz 1degree=4 min)den convert to hrs wch is 3hrs20min..
Nw the plane startd at 2 am n takes 10 hrs,,,so time dat it shud reach is 12noon,,
the point to b noted here is dat wen plane is moving frm EAST to WEST…u hav to subtract the
time taken(320mins)frm 12noon…
wch becomes 12noon – 320 mins=6:40 am
gotit??

6. Given $ means Tripling and % means change of sign then find the value of $%$6-%$%6
ans: -72
(($%$6)-(%$%6))
here..tripling means multiplyin by 3 …
so 6 is multiplied by 3 two times in first pair of brackets
bcoz of 2 dollar signs..
in second part its multiplied by 3 once ..
in 1st part
ie…6*3=18
18*3=54
Nxt it bcomes -54 bcoz of % sign ….so first part is -54
In 2nd part
Its -18…(6*3)
So the eq bcomes -54-18=72/// ans

7. B and C are 8 bit no's. They are as follows:
A 1 1 0 1 1 0 1 1
B 0 1 1 1 1 0 1 0
C 0 1 1 0 1 1 0 1
Find ( (A-B) u C )=? ans:109
first find (A-B)
so u hav to find 2’s complement of C and add wid A///
den find the union of both..ie OR gate..

8.If A, B and C are the mechanisms used separately to reduce the wastage of fuel by 30%, 20%
and 10%. What will be the fuel economy if they were used combined.
Ans:49.6%
simple…. (70/100)*(80/100)*(90/100)*100=50.4((( 70 comes frm (100-30) and so on fr
othrs…….)
100-50.4=49.6

9. The size of the bucket is N kb. The bucket fills at the rate of 0.1 kb per millisecond. A
programmer sends a program to receiver. There it waits for 10 milliseconds. And response will
be back to programmer in 20 milliseconds. How much time the program takes to get a response
back to the programmer, after it is sent?
ans:30 ms
Dis does nt take to read ur prb in depth…
Jz luk fr the two time taken…… ie…10 milliseconds and 20
milliseconds…
Add dem
10+20=30/////ans..

10. A power unit is there by the bank of the river of 750 meters width. A cable is made from
power unit to power a plant opposite to that of the river and 1500mts away from the power
unit. The cost of the cable below water is Rs. 15/- per meter and cost of cable on the bank is
Rs.12/- per meter. Find the total of laying the cable.
ans:20250
power unit is in one bank of river…
width of river is 750 m
so the next power plant is on the othr side of river and
1500 m frm dis power plant… ie 750 m frm the opposite bank
so 750*15 + 750*12 ===20250 ///ans

11. The size of a program is N. And the memory occupied by the program is given by M = square
root of 100N. If the size of the program is increased by 1% then how much memory now
occupied?
ans: 0.5%
No mattr watz the value is changed..ex…evn if 100 is changd
to 4000 or anything ..ans is 0.5% .. unless the value of
increase in percentage is 1%..

12) How many positive integer solutions does the equation 2x+3y = 100 have?
ans:16
formula: (constant)/(lcm of two nos)
==100/(2*3)=15.5…(rounded of as 16..)

13) A non-stop bus to Amritsar overtakes an auto also moving towards Amritsar at 10 am. The
bus reaches Amritsar at 12.30 pm and starts on the return journey after 1 hr. On the way back it
meets the auto at 2 pm. At what time the auto will reach Amritsar?
ans:3 pm
This prb requires Logical thinking….wil think ovr it hw to explain n mail u soon..)) sry fr d delay

14) The total expense of a boarding house is partly fixed and partly variable with the number of
boarders. The charge is Rs.70 per head when there are 25 boarders and Rs.60 when there are
50 boarders. Find the charge per head when there are 100 boarders.
ans:55
equation: x+25y=70*25
x+50y=60*55
x-fixed part
y-variable part
((refer RS Aggarwal fr further details)

15) In a circular racetrack of length 100 m, three persons A, B and C start together. A and B start
in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the opposite
at 15 m/s, when will all the three meet for the first time on the track after the start?
ans:aft 100 s
Hav been told by my seniors to take LCM of 3 nos…but I guess
its wrong…wil tell u latr.

16) There are 5 distinct pairs of white socks and 5 pairs of black socks in a cupboard. In the
dark, how many socks do I have to pull out to ensure that I have at least 1 correct pair of white
socks?
ans:6 pairs or 12 socks Think…if der r 5 pairs of white socks and 5 pairs of black socks..
If u wanna tak a white socks… the extreme condition is u wil b picking up atleast 6 pairs…so dat
evn though 5 pairs u hav takn r black the remaining ONE is white.. SO U NEED TO TAK ATMOST
6 PAIRS OF SOCKS///

17) Two oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas and 1 apple cost
Rs.10. I bought 3 oranges, 3 bananas and 3 apples. How much did I pay?
ans:15
EQUATION:
2x+3y+4z=15
3x+2y+1z=10
Add both equations..
U get…5x+5y+5z=25//ie (5 oranges+ 5 bana+5appl cost 25)
1oran+1 bana+1 app cost =Rs5
3oran+3 bana+3app cost =Rs5*3==15////ans

18) A traveler walks a certain distance. Had he gone half a kilometer an hour faster , he would
have walked it in 4/5 of the time, and had he gone half a Kilometer an hour slower, he would
have walked 2 ½ hr longer. What is the distance?
ans:15kms
Dis s data insuffiency ques,,,

19) A student's grade in a course is determined by 6 quizzes and one examination. If the
examination counts thrice as much as each of the quizzes, what fraction of final grade is
determined by the examination?
ans:1/3
1examnation==3 quizes
Ie 6 quizes=2exams
The ratio 6 quizzes and 1 exam can b re-writtn as
2exam(6quizzes) and 1 exam
So exam takes 1/3 part of the final exam….///
ans

20) The value of ¾ + 5 / 36 + 7 / 144 + …….+17 / 5184 + 19/ 8100
ans:0.99
formula
1-(last term)
Ie 1-(19/8100)=0.99 ///ans

22) The cost of one pencil, two pens and four erasers isRs.22 while the cost of five pencils, four
pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?
Ans 27
1 pencil+2 pens+4 erasers=22
5 pencls+4 pens+2 Erasers=32
Adding dem
6 pencls+6 pens+6Erasers=54
1pencls+1 pens+1Erasers=54/6=9
3 pencls+3 pens+ 3Erasers=27