DSQ placement paper ( mathematics )

[sridhar]

MATHEMATICS TEST


1. if a**2+b**2+c**2=1 then ab+bc+cd lies in the intrval

a. -1/2,1 b.-1,1 c.-1/2,2 d.-1,2
2.if x is root of 4*y**2+2*y-1=0, the its other root is given by
a.4x**2+2*x+1 b.x-1/2 c 2x-1 d.2-x
4. the perimetere of a square is 44m more than that of another and
187 sqm more in area then the side of the larger square is
ans:17m
5. the value of x which makes xi+2j+3k and -i+5j+k perpendicular is
ans:none of the above
6. the value of determiterment ---|matrix|
ans:6
7. the solution of the system of equations 2y-z=0,x+3y=-4,3x+4y=3 is
ans: x=5,y=3,z=6
8. the radius of the circle 4x**2+4y**2 =100
ans: 5
9. the ages of two brothers are now in the ratio 4:3 but fifteen
years ago, they were in the ratio 3:2the present age are
ans:45
10.if z is the arithemtic mean between x and y , then the value of x/(x-z)+y/(y-z)
is ans:2
11.the least integer n for which the sum 1+3+5+---+(2n+1) exceeds
9999 is ans:100
12. the number of subsets of a set s is 64, then s has
a: 8 b.6 c.4.d. 16 elements
13.if n is a natural numbers, the n(n+1)(N+5) IS
ans:a multiple of 6
14.a spere circumscribes a cylinder . then the ratio of the surface
area of the spere to the curved surface area of the cylinder is
ans:3:2
15.ax/b+b=bx/a+a,a//b. then x equals
ans:ab/(a+b)
16. if logs sqrt(5x)=1,then x equals
ans:
17. which of the following triplets cannot be sides o a ritht angled
triangle
ans: (p-q),(p+q),sqrt(p+q)
18.inwhat time will RS. 3200 amount to RS.3528 at 5% annum compound interest
ans:2 years
19.if the price of orange falls by 20 % one can buy 5 dozens more
for RS 300, THEN THE ORIGINAL price per dozen is
ans:15
20. the triangle formed by (0,0),(0,4,),(3,8) is
ans: right angled triangle
21. The area of parallegram (0,0),(0,4),(3,8) is
a.12 b.6 c.24 d.25
22. A man can do a piece of work in 9 days, a woman can do 3/4 as
much work as a man in one day and a boy in twice the time that a man
takes. How many days wil 2 men, 3 women and 5 boys together take to do the
work?
ans:4/3 days
23.The probability of getting at least one head in a single throw of
three coins is
ans:7/8
24.A problem is given to two student A and B WHOSE REspective
chances of solving it are 1/2 and 2/3 . IF BOTH OF THEM TRY TO SOLVE THE
PROBLEM INDEPENDENTLY, THE PROBability that the rpoblem will be solved is
ans:5/6
25.In a single throw of 3 dice, the chance of throwing a total of 15
is
ans:a.1/15b.5/216 c.1/3 d. 1/4
26.(3x-2)/(x-2)<=0,then
ans:2/3<=x<2
40 . P and Q are positive integers with their averagfe 15, find how
many different values can one take
ans:29
41.The hands of clock coincide after every 66 min of correct time.
How much does the clock gain or lose in a day.
ans:gains 11 min
42.Ifxto the power of 5=4 and x to the power of 4=5/y , then x equals
ans:4y/5
43.if x,y,z are natural numbers, and if 2x=y and y=3z, which of the
following numbers could be x+y+z
ans:44
44.The pipes can fill a cistern in 1.5 hours and 2 hours
respectively. A wste pipe can empty a full cistern in 3 hours. If the
cisternis empty and all three pipes are opened together, in how many min
will the cistern be half full
ans:36
45. The members a,b,12 forma geometric progression and the nos a,b,9
form an arithmetic progression. find the value of a+b
ans:9or 45
46.IN a group of 15,7 can speak spanish, 8 can speak french, and 3
can speak neither.How much of the group can speak both french andspanish
ans:2/3
47.Oranges are bought at 11 for Rs. 10 and sold at 10. for Rs. 11
the profit is
ans:21%
48.If x/y=2/3 then y**2/x**2 is equal to
ans:9/4
49. the cordinates of A,b,c are respectively (2,3) ,(4,4) AND
(0,-2). If abcd is a parallelgram. The coordinates of D are
ans:(-1,-3)
50. If nis odd which of the following statements is true
ans: 1.n is odd 2. n**2 is odd 3. n**2 is even