# (Paper) DSQ Placement Paper (Mathematics)

**Paper:
DSQ Placement Paper (Mathematics)**

**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

**3. **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

**4.** the value of x which makes xi+2j+3k and -i+5j+k
perpendicular is

**5.** the value of determiterment ---|matrix|

ans:6

**6. **the solution of the system of equations
2y-z=0,x+3y=-4,3x+4y=3 is

ans: x=5,y=3,z=6

**7. **the radius of the circle 4x**2+4y**2 =100

ans: 5

**8.** 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

**9.**if z is the arithmetic mean between x and y , then
the value of x/(x-z)+y/(y-z)

is ans:2

**10**.the least integer n for which the sum
1+3+5+---+(2n+1) exceeds 9999 is ans:100

**11.** the number of subsets of a set s is 64, then s has

a: 8 b.6 c.4.d. 16 elements

**12**.if n is a natural numbers, the n(n+1)(N+5) IS

ans:a multiple of 6

**13**.a spere circumscribes a cylinder . then the ratio
of the surface area of the sphere to the curved surface area of the cylinder is

ans:3:2

**14.**ax/b+b=bx/a+a,a//b. then x equals

ans:ab/(a+b)

**15.** if logs sqrt(5x)=1,then x equals

ans:

**16.** which of the following triplets cannot be sides o
a right angled triangle

ans: (p-q),(p+q),sqrt(p+q)

**17**.inwhat time will RS. 3200 amount to RS.3528 at 5%
annum compound interest

ans:2 years

**18**.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

**19.** the triangle formed by (0,0),(0,4,),(3,8) is

ans: right angled triangle

**20.** The area of parallegram (0,0),(0,4),(3,8) is

a.12 b.6 c.24 d.25

**21.** 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

**22**.The probability of getting at least one head in a
single throw of

three coins is

ans:7/8

**23.**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

**24.**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

**25.**(3x-2)/(x-2)<=0,then

ans:2/3<=x<2

**26 .** P and Q are positive integers with their average
15, find how many different values can one take

ans:29

**27.**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

**28.** Ifxto the power of 5=4 and x to the power of 4=5/y
, then x equals

ans:4y/5

**29**.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

**30.**The pipes can fill a cistern in 1.5 hours and 2
hours respectively. A waste pipe can empty a full cistern in 3 hours. If the
cisterns empty and all three pipes are opened together, in how many min will the
cistern be half full

ans:36