A bag contains (x + 1), green balls and (x + 4) yellow balls. If one ball is drawn at random from the bag, the probability of getting a green ball is 3/7. Find the total number of balls in the bag ?
34
23
28
42
21
Option E Probability = 3/7 x + 1/x + 1 + x + 4 = 3/7 x + 1/2x + 5 = 3/7 x = 8 total balls in the bag = 9 + 12 = 21 balls
A alone can do a work in 20 days and efficiency of A is 7 1/7% more than B. If efficiency of C is 20% less than A, then find in how many days B and C together can complete the same work ?
100/9 days
15 days
18 days
200/3 days
30 days
Option A Fraction value 7 1/7% = 1/14 efficiency of B = 14 efficiency of A = 15 total work = 15 * 20 = 300 efficiency of C = 15 * 4/5 = 12 time = 300/15 + 12 = 100/9 days
The ratio of milk and water in a mixture is 11 : 4. When 30 liters of mixture is taken out and 18 liters of milk is added in the remaining mixture, the ratio of milk to water is 5 : 1, find the initial quantity of milk.
44 liters
65 liters
40 liters
50 liters
62 liters
Option A Let quantity of milk = 11x and water = 4x (11x – 30 * 11/15 + 18)/4x – 30 * 4/15 = 5/1 11x – 4/4x – 8 = 5/1 11x – 4 = 20x – 40 x = 4 initial quantity of milk = 11 * 4 = 44 liters
An amount is divided among A, B and C, amount of B is average of amount A and C and when amount of B is reduced by 20% of that of A, it becomes equal to that of C. Find amount of C is what percent of total amount ?
20%
30%
40%
15%
25%
Option E Let amount of A and C is rs.x and rs.y respectively. amount of B = x + y/2 x + y/2 – x/5 = y 3x = 5y x/y = 5/3 amount of A = rs.5a amount of B = rs.4a amount of C = rs.3a % = 3a/12a * 100 = 25%
Train A running at speed of 108 km/hr crosses a platform having twice the length of train in 24 sec. Train B whose length is 420m crosses same platform in 36 sec, then find the speed of train B ?
108 km/hr
45 k/hr
76 km/hr
90 km/hr
72 km/hr
Option D Let length of train A = x length of platform = 2x x + 2x/24 = 108 * 5/18 x = 240m let speed of train B is y km/hr 420 + 2 * 240/36 = y * 5/18 y = 90 km/hr
Directions : In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer I. x^2 – 17x – 84 = 0 II. y^2 + 4y – 117 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = Y or no relation.
Option E I. x^2 – 21x + 4x – 84 = 0 x = 21, -4 II. y^2 + 13y – 9y – 117 = 0 y = -13, 9
I. x^2 + 23x + 132 = 0 II. y^2 + 21y + 110 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = Y or no relation.
Option D I. x^2 + 12x + 11x + 132 = 0 x = -12, -11 II. y^2 + 11y + 10y + 110 = 0 y = -11, -10
I. x^2 = 196 II. y = √196
X > Y
X < Y
X ≤ Y
X ≥ Y
X = Y or no relation.
Option C I. x^2 = 196 x = 14, -14 II. y = √196 y = 14, 14
I. 3x^2 + 13x + 12 = 0 II. y^2 + 9y + 20 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = Y or no relation.
Option A I. 3x^2 + 9x 4x + 12 = 0 3x = -9, -4 x = -3, -1.33 II. y^2 + 5y + 4y + 20 = 0 y = -5, -4
I. x^3 = 216 II. 2y^2 – 25y + 78 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X = Y or no relation.
Option D I. x^3 = 216 x = 6 II. 2y^2 – 13y – 12y + 78 = 0 2y = 13, 12 y = 6.5, 6
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