QUANT DATABASE (Till Sep 5th)

1. Given the measurements of a rectangle as 80ft, 50ft. If the shorter side is increased by x% then the area after increase becomes 5400. What is the value of x?
A.20
B.25
C.30
D. None

2. In a polar axis co-ordinates system, if one point lie at a distance of 3 units from origin subtending an angle ‘Ѳ’ with the origin and another point is at exactly 55 degrees more than the first, find out the distance between the two points and also the angle subtended by the second ,in radians ?

3. Given two points (on exactly opposite ends of a circle) as (-3, 0) and (0, 5). Find radius of the circle?

4. If ‘A’ hits a target with a probability of 2/7 and if ‘B’ hits a same target with a probability of 7/16 then if both of them shoot, what is the probability that neither of them will hit the target?
A. 1/7
B. 1/21
& so on…

5. If a point in a particular co-ordinate system is (2, 9) and in another co-ordinate system is (-8, 81) then by how many degrees should the first co-ordinate system axis be rotated to get the send co-ordinate axis?

6. Given a container has a capacity V and a liquid is filled up to 1/3 of its capacity. Another container has capacity W and a liquid is filled up to 1/7 of its capacity. If both these are mixed and poured into another container whose capacity is X. Find out the fraction of occupation in the last container.

7.

If one feet = 3yards and painting each yard costs some xxx dollars with canvassing cost 20% extra then cost of painting & canvassing the area is?
8. If n is an integer, the number of primes in between n and n+6 is?
A. 0
B. 2
C. 6
D. 3
E. 4

9. If x > 0 then
Col A: x+(1/x^-2)
Col B: x^2+(1/x)

10. Given an equation of a straight line as x + y = 4. This line makes a right angled triangle intersecting positive x-axis and y-axis. Find out the area of the triangle?

11. Col A: (1/3)^-1
Col B: 3

12. If 1 liter paint is required for painting 16sq.mt then find the paint required for painting 64cub.mt?

13. A 16(n=4) squared box was given. All squares which are on perimeter was given, the corner 4 squares were not painted and the question is... If n>=5, then find the number of shaded squares?

14. Given two lines of the form y = ax+b and y = cx+d which intersect each other. Find y-coordinate?
(Question is similar to this)

15. The value of the expression 1/3*| y - x | (where y = x-1) is ----?

16. If 'x' & 'y' are two integers, then
Col A: 40^x*41^y
Col B: 40^x+1*41^y-1

17. If a line 'm' has points (2,1) and 'l' is the line parallel to 'm'
Col A: Slope of the line m
Col B: Slope of the line l

18. If ky + mx = 4 and the point is (2,3)
Col A: k
Col B: 1

19. If the equal side of an isosceles triangle is 30 then the unequal side can be between
A. 0 to 45
B. 0 to 60
C. 45 to 60
& so on

20. If x < 0 then (-x)(-x)/(-x)= ?
A. x
B. |x|
C. -x
D. -x^2
E. x^2

21. A Geometrical figure of hexagon with 12 equilateral triangles is given and asked to find the perimeter of the hexagon?
(Question is similar to this)

22. A car goes around a circle of radius of 14km in the first round it travels with a speed of 11km/hr in sub sequent rounds its speed increases by 11km/hr in each round how much time does the car take to cover a dist of 440km
A. 14*8/5
B. 15*14/18
C. 18*4/15
D. 4*15/18
E. 7*4/15

23. Given a line which is passing through {1/2, 1/2} & origin. Which of the following equations has same slope?
A. Y = X
& so on...

24. Another question had a series of numbers not arranged in any ascending or descending order and the question asked is to how much more is the median of the series above when compared to the mean of the above series?
(Question is similar to this)

25. Given two lines ‘L’ as y = ax + b and another line ‘M’ as y = dx + c where a=! d and b=! c and ad=! bc. Express the equation of lines in terms of a, b, c, d when the lines are intersected?

26. If t^4 = 16
Col A: t
Col B: 2