Quant 20th OCT
1. The value of (51!-50!)/(50!-49!)is........
2.
Four identical squares are attached to a square of same dimensions at the four edges as above and centers of all the attached squares are joined forming a square, what percentage... more is the area of the square...such formed (joining the centers) compared to the given identical squares area?
3. How many even integers have squares between 37 and 621?
4. There is a list of 12 numbers, all are positive & even and their some is given as 50.
Col A: Range of these twelve numbers
Col B: 20
5. Given that, if x and y are decimals, then x+y when rounded to 100th decimal it is equal to x.
Col A: y
Col B: 0.007
6. If x & y are both greater than 0, then
Col A: sqrt (10x) * sqrt (10y)
Col B: 10 * sqrt (xy)
7. Given that, if ‘x’ belongs to a set of prime numbers less than 10 and y belongs to a set of prime numbers greater than 10, then
Col A: (-1)^x+y
Col B: (-1)^xy
8. If 180 is the number of ways in which letters of a word is arranged, then which of the following words can be arranged in the same number of ways?
A. CABBIE
B. DEBBIE
9. In a distribution of 8500 parameters, if 26.7 is 56 percentile & 37.1 is 78 percentile, then what is the percentile of x (26.7 < =x < =37), that is closest in this range?
A. 1888
B. 4750
C. 6650
& so on....
10. Given 2 < a < 4 < b < 10, if the average of 3, 6, 9, a, b is 6, then
Col A: a-b
Col B: 4
11. Given 'N' is a positive integer, such that when it is multiplied with 3/5 and the resultant is divided with 7/10 then its equal to which of the following
A. N*(6/7)
B. N/(5/2)
& so on...
12. Given two circles that are concentric having radii 2, 5. If the tangent to the smaller circle intersects the bigger circle at ‘S’ and ’T’, then find the length of ‘ST’?
13. If slope of first line is -2 and other line is ½, then find the angle between the lines?
14. If 0 < a < b < c, then
Col A: b/a
Col B: c/b
15. A triangle with three sides were given as a = 4, b = 3, c = 6
Col A: Angle between sides a and b
Col B: 90
16. If n > 10000, then
Col A: thousand's digit of n/8
Col B: 7
17. If a parallelogram has side 16 and 10, then
Col A: the area of parallelogram
Col B: 155
18. If a probability of receiving a busy tone in a call is 1/3, then
Col A: Call made for time probability of not receiving a busy tone
Col B: 1/4
19. Col A: The units digit in 86^34
Col B: 6
20. If a*-2 + (a*-1)6 + 9 = 0, then what is the value of ‘a’?
21. In a total of 36 members, if 10 play chess, 16 play cricket and 20 play none of them, then what is the number of members who play any one of these games?
22. If -3 < x < 0, then
Col A: 1/x
Col B: -3
23. Given A+L =130. If ‘A’ is the area of rectangle and ‘L’ is the length of the rectangle. Find the value of A? (Provided ….the breadth ‘B’ is given as 6)
4 comments:
1) Ans=51
(51!-50!)/(50!-49!)
=49!(51*50-50)/49!(50-1)
=(51*49)/49=51
2) Ans=50%
letside=a
area of 4 identical squares=4a^2
side of formed sqaure=sqrt(2)*a
area of formed square=2a^2
percentage=(2a^2)*100/(4a^2)=50
3) Ans=9
sqrt(621)=24.***
sqrt(37)=6.***
integers between 6 and 25(excluding them)=18
no.of even numbers=9
4)cannot be determined
there are two different cases in this problem
the numbers may be in a arithematic sequence or numbers may be repeated
ANYbody have a better answer
5)cannot be determined
y may be in tenth decimal or thousandth decimal
BUT not in the 100 th decimal.
6)A = B
sqrt(10x)*sqrt(10y)
=sqrt(10^2*xy)
=10*sqrt(xy)
7)cannot be detemined
y is always an odd integers,x may be even or odd
x is even then A < B
x is odd then A > B
8)Ans=DEBBIE
CABBIE=6!/2!=360
DEBBIE=6!/(2!*2!)=180
[formule=(no.of letters)!/((no.of times letter1 repeated)!*(letter2...)!*......)]
9)answer will be given later
10) A < B
given 2 < a < 4 < b < 10
so a < b then a-b= -ve integer
11)Ans=N*(6/7)
N -> N*3/5 -> (N*3/5)/(7/10) -> N*3/5*10/7=n*6/7
12)Ans=2*sqrt(21)
look at the figure here http://www.ziddu.com/download/2455464/circle.JPG.html
length of the side=2*sqrt(5^2-2^2)
(According to pythogorous theroem)
=2*sqrt(25-4)=2*sqrt(21)
13)Ans=90
Tanx=(m2-m1)/(1+m1.m2)
tanx=(-2-½)/(1+(½*-2))
= -5/2/(1-1)=-5/0=infinity
So x=90
14)Cannot be determined
depends on the values of the a,b,c
15)A > B
when c=5 angle=90 according to phytogorous theroem
so when c = 6 angle is greater then 90
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