Q1. In a bag, there are 16 balls of three different colors i.e. red, blue and green. Number of red and blue balls is 9 and difference between red and green ball is 4 then find the probability of getting a ball of each color if three balls are picked at random?
Q2. A bag contains only two colour balls i.e. red & green. Ratio of number of green balls to red balls is 4 : 3 is four green balls taken out from the bag, then the new ratio of green balls to red balls become 8 : 9. Find the probability of that if two balls taken out from the bags and both balls will be same colour?
Q3. A bag contains x green balls, 7 blue balls and 8 red balls. When two balls are drawn from bag randomly, then the probability of one ball being green and one ball being red is 4/15. Find value of x (number of green balls cannot be more than 18 balls).
Q4. In a bag, there are some red and total 9 black and yellow balls. Probability of selecting two red balls from that bag is 1/7 which is 250% of the probability of selecting two black balls. Find number of yellow balls in that bag if the number of black balls is even.
(e) None of these
Q5. An urn contains 4 red, 5 green, 6 blue and some yellow balls. If two balls are drawn at random, the probability of getting at least one yellow ball is 17/38. find the yellow balls in the urn.
Q6. An urn contains 6 red balls and 9 green balls. Two balls are drawn from the urn one after other without replacement. Find the probability of drawing a red ball when a green ball has been drawn from the urn.
Q7. Bag-A contains 6 blue balls, 7 red balls and 2 green balls and Bag-B contains 5 blue balls, x red balls and 2 green balls. A bag is chosen randomly, and two balls are taken out from it randomly, then the probability of getting two red balls is 2/15. Find number of red balls in Bag-B.
(e) None of the above.
Q9. Length of a rectangular land is twice the radius of a circle of circumference 132 cm. The land area got increased by 144 sq.cm, when a square land is attached along the breadth of the rectangle. Find area of rectangle in sq.cm.
Q10. Difference between circumference of a circular vessel (candy maker) and its diameter is 60 cm. If 40 cm2 is waste material and 16 square boxes required to pack remaining quantity of candy, then find side of each square box?
(a) 4 cm
(b) 8 cm
(c) 10 cm
(d) 5 cm
(e) 6 cm
Directions (11 – 12): The area of rectangular based tank, of which longer side is 150% more than smaller side is 1440 m2 and the tank contains 10800 m3 water.
Q11. Total surface area of tank, if tank is opened from upper side.
(a) 2700 m2
(c) 3600 m2
(d) 4900 m2
(e) 2100 m2
Q12. If radius of a conical tank is 7/8th of smaller side of rectangular based tank and height is two times of height of rectangular based tank, then find capacity of water contained by conical tank?
(a) 6730 m3
(b) 6530 m3
(c) 6930 m3
(d) 6960 m3
(e) 6990 m3
Q13. A milkman has a cylindrical vessel whose radius of base is 20% of its height and volume of cylindrical vessel is 344960 cm³. If milkman increased the radius of base and height by 14 cm each, then find the percentage increment in curved surface area of cylindrical vessel?
Q15. The radius of the circle is ___ cm whereas the radius of base of cylinder is ___ cm. Area of circle is equal to the curved surface area of cylinder for positive integral value of height of cylinder. Then find which of the following option regarding circle’s radius and cylinder’s radius will satisfy the above given condition.
(a) Only (i) and (iii)
(b) Only (ii)and (iv)
(c) Only (ii) and (iii)
(d) Only (ii) and (v)
(e) Only (ii),(iii) and (iv)
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