# (Paper) DSQ Placement Paper (Aptitude-Mathematics Section)

**Paper: DSQ
Placement Paper (Aptitude-Mathematics Section)**

**1.**How many liters of water must be added to 30 liters of alcohol to make
a solution that is 25%

ans:120

**2.**How much is 3/7 larger than 20 percent of 2

ans;1/35

**3.**xyz=120,then which of the following cannot be a value of y

ans:0

**4.**a number of subsets of a set s is 128, then s has

ans:7

**5.** xsqrt(0.09)=3 , then x equals

**6.**perimeter of rectangle is s and the other sideis x, then the other side

ans:(s-2x)/2

**7**.solution of system of equations y-z=0,x+8y=4,3x+4y=7z is

ans:x=1,y=1,z=1

**8.** f(x,y) =x**2 -y**2 then the value of f(4,(f(1,2) is

ans =7.

**9.** if the radius of the circle is increased by 6% then its area
increased by

ans=36%

**10.** the average of seven numbers is 2.5 then their product

ans=17.5

**11.** the minimum of (2x+1)**2 + (x+2) is at x =

ans = (-4/5)

**12.** the probability of getting at least in a single through of three
coins is

ans=7/8.

**13.** atrain covers the distance D beteween two cities in hhours arriving
2 hours late.what rate would permit to train to arrive on schdule?

ans= (D/H-2)

**14.** in a single throw of dice ,the chance of throwing a total of 3 is

ans) 1/216.

**15**. a triangle of sides 3,4,5 then its----is

ans:6

**16.** Which of the following is next smaller invalue than--- one half

ans:2/5

**17**. if f(x)=1/x then f(f(f(x))) equals

ans:1/x

**18**. if f(x)=1/x**2 , then f(f(f(x)))

ans:1/x

**19**.if 8x+4y=6 and 4x+5y=7, x+y equl\als

ans:1

**20.** find the next number in the series 1,2,5,10,17,26

ans:37

**21**.sqrt(0.16)+cubic root(0.027) equals

ans:0.7

**22.**if a,b>0 and a+b=2 then the max value of ab is

ans:1

**23.** p and q are positive integers with their average 5, find how many
different values can p take

ans:9

**24.** if 0<x<1 which of the following is the largest

ans:1/x

**25**. If x,y,z are three consecutive natural numbers, which of the following
numbers should be x+y+z

ans:2/3