Behavioral Quantitative Aptitude Interview Questions & Answers:

1. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Find the size of the smallest set of people such that the rest have shaken hands with at least one person in the set?

For at least one person & for exactly one person =36/3
For at least two person & for exactly two person =36/2
so
ans is 36/3= 12

if question is asked lyk no "cycle" then n-1.
i.e.36-1

2. In a group of 15, 7 have studied Latin, 8 have studied Greek, and 3 have not studied either. How many of these studied both Latin and Greek?
A. 0
B. 3
C. 4
D. 5

L=7
G=8
Total number of students(U)=15
Number of students who study neither of them (N)=3
draw a simple diagram representing the above situation.
we need to find out L INTERSECTION G.
Thus we have,
L UNION G + N = 15
L UNION G = L + G - L INTERSECTION G = 7 + 8 - L INTERSECTION G
L INTERSECTION G= 7 + 8 +N-15
= 7+8+3-15
= 3

3. Explain series: 2,7,24,77,.

Ans is:

2*3+1=7

7*3+3=24

24*3+5=77

77*3+7=238

Therefore ans is 238

4. What is the largest prime no. stored in 8bit/6bit/9bit/7bit memory?
A,B,C are the mechanisms used separately?

for 6 bit maximum allowed number is 64 prime number is 61

for 7 bit maximum allowed number is 128 prime number is 127

for 8 bit max allowed number is 256 prime number is 253

for 9 bit max allowed number is 512 prime number is 511

5. A circular dart board of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point X in the circle. What is the probability that X is closer to the center of the circle than the periphery?

1/4

6. 1/3 of a number is 3 more than 1/6 of the same number.
What is the number?

let x be a no
now 1/3 of a no is x/3


and again

x/3=x/6+3
x/3-x/6=3.

x=18

7. A person, who decided to go to weekend trip should not exceed 8 hours driving in a day. Average speed of forward journey is 40 m/h. Due to traffic in Sundays, the return journey average speed is 30 m/h. How far he can select a picnic spot?
a) 120 miles
b) Between 120 and 140 miles
c) 160 miles

solution--- t1= time for forword journey. t2 =time 4 return journey. t=t1 + t2 =8hrs; x= destination; t1 + t2 = x / 40 + x / 30 = 8; x( 7/120 ) = 8; x= 8*120/ 7 = 137 milesie answer is(b)

8. How many 5 digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4?

Divisibility rule of 4 is last two digits are divisible by 4
so in 5 digit no last two digit should always be 12,24,32,44,52;
(any one of them may be)

so for last two digits 5 ways are possible ;

since repetion are allowed then for 3rs place form right there are also 5 ways so in 3rd place either of 1,2,3,4,5 is possible;
simillarly at 4 rth place either of 1,2,3,4,5 is possible so again 5 ways are possible

simillarly at 5th place also 5 ways are possible

so total no are: 5*5*5*5=625

9. If A is traveling at 72 km per hour on a highway. B is
traveling at a speed of 25 meters per second on a highway.
What is the difference in their speeds in m/sec?

ya the answer is 5sec..
converting 72kmph in m/sec we get 20m/sec
so 25-20=5sec/m

10. The cost of one pencil, two pens and four erasers is Rs.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?

Let a, b, and c denote pencil, pen and eraser respectively.

Given that the cost of one pencil, two pens and four erasers is Rs.22

This can be written as,

a + 2b + 4c = 22 ..........(1)

Similarly, the cost of 5 pencils, 4 pens and 2 erasers is Rs. 32

This implies ....

5a + 4B + 2c = 32 ......... (2)

Adding (1) and (2), we get

6a + 6b + 6c = 54

We need to find the value of 3a + 3b + 3c.

Dividing by 2, we get

3a + 3b + 3c = 27.

Hence, the cost of 3 pencils, 3 pens, and 3 erasers is Rs.27

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11. A candidate appearing for an examination has to secure 40% marks to pass paper I. But he secured only 40 marks and failed by 20 marks. What is the maximum mark for paper I?

let us consider x is the maximumber number of marks.

secured marks => 40% of x= 40/100 of x=2x/5


To pass an exam he has to score =fail marks+20
=40+20=60
2x/5=60
x=150
maximum marks for paper I is =150

12. After the typist writes 12 letters and addresses 12 envelopes, he inserts 1 letter per envelope randomly into the envelopes. What is the probability that exactly 1 letter is inserted in an improper envelope?

as 1 letter cannot be in improper envelope. there has to be more than 1 letter that is in improper envelope

13. A moves 3 kms east from his starting point . He then travels 5 kms north. From that point he moves 8 kms to the east.How far is A from his starting point?

ans is 12.43...

diagramatically, u wil get a right angled triangle with sides 5 n 8.. using pythogoras th. 3rd side will b 9.43..

9.43+3= 12.43

14. Find the right number, from the given options, at the place marked by the question mark: 2, 4, 8, 32, 256, ?

Each of the preceding number is multipied by the previous number
So on multiplying 2*2 = 4
4*2 = 8
8*4 = 32
32*8 = 256
256*32 = 8192
so the answer for this series is 8192

15. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, What is the number of points equidistant from all the 3 lines?

1
As it is the incenter of the formed triangle which is equidistant from all the three lines...

16. An amount doubles itself in 3 years. When This amount can become 8 times of itself?

Suppose Amount Was Rs 100.00 In 1st Year

1 To 3 Yrs - 200
4 To 6 Yrs - 400
7 To 9 Yes - 800

17. Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/16 of B if filled in 17 hours what time it will take to get completely filled?

It fills at a rate of 2 (i.e) 10,20,40.... 1/16 is filled in 17hr. then it fills as 1/8,1/4,1/2,1.. Hence 17+1+1+1+1=21

18. A moves 3km. east from his starting point,he then travels 5km north,from that point he moves 8kms to the east. how far is A from his starting point?
if a student scores GPA in his sem & year as given below then calculate his GPA for 3 year.
sem 2.4,3.4
yr 1.3,1.9
bbgmpqbgskobgasbbgdefbgsti how many bs are followed by gs which are not followed by s in the above series?
M(373,5)+r(3.4)+t(7.7)-r(5.8)=?
t=truncation ,r=round-off

A-starting point
B-starting point of 5km walk
C-starting point of 8km walk
D-Final point
Now to find distance between A and D.

BCD makes a right-angle triangle... therefore,
DB=sqrt(64+25) ....... (pythagoras theorem)

DB=9.43

Now AD=AB+DB=3+9.43

Hence, AD=12.43 (Answer)

19. If 8 men can reap 80 hectares in 24 days, then how many hectares can 36 men reap in 30 days?

By Direct approach :
more men,more hectares
moredays,more hectares
so,
8 / 36 : 24 / 30 = 80 / x

x = (36 x 30 x 80) / (8 x 24)
450

20. The program size is N. The memory occupied by the program is M=4000sqrt(N). If the program size is increased by 1%. Then what is the percentage increase in memory?

4020sqrt(N)

21. Two pencils costs 8 cents, then 5 pencils cost how much ?

2 pencils cost = 8

5 pencils cost = ?
cross multiply
8*5/2 = 40 / 2 = 20

so 20 is price of 5 pencils

22. A man walks at the speed of 4km per hour from point A to B and comes back from point B to A at the speed of 8km per hour. What is the ratio between the time taken by man from point A to B and B to A?

4 km/hr from A to B = s1

8 km/hr from B to A = s2

Speed = Distance/Time

s1 = d1/t1

s2 = d2/t2

s1/s2 = t2/t1

We need t1/t2 so,

Answer ratio is 2:1

23. a 100100011
b 000110010
c 100000110
then find a-(buc) or au(b-c)?

(buc)=100110110

(i) we know that (a-b)=a intersection b'

therefor a-(buc)=a intersection (buc)'

(buc)'=011001001

a intersection (buc)'=00000001=a-(buc)

(ii)similarly au(b-c)=100110011

24. What is the probability that 4 numbers selected from 1 to 40 are not consecutive?

From 1 to 40 there are 37 possible combinations of 4 consecutive numbers.

Total number of possible combinations= 40C4.

Probability of outcome to be consecutive = 37/(40C4)= 1/2470

Probability of outcome not to be consecutive = 1-(1/2470)= 2469/2470

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25. Low temperature at the night in a city is 1/3 more than 1/2 high as higher temperature in a day. Sum of the low temperature and highest temp. is 100 degrees. Then what is the low temp?

night temp=n,day temp=d
n=1/3*d/2+d/2==4d/6
n+d=100(given)
hence, 4d/6+d=100
d==60
n==40 deg