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
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
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
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
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)
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
ya the answer is 5sec..
converting 72kmph in m/sec we get 20m/sec
so 25-20=5sec/m
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
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
as 1 letter cannot be in improper envelope. there has to be more than 1 letter that is in improper envelope
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
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
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
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
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
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
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
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