(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

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

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

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

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

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

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

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

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

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

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


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

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

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

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