- 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 ?
3423284221Option 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 days15 days18 days200/3 days30 daysOption 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 liters65 liters40 liters50 liters62 litersOption 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/hr45 k/hr76 km/hr90 km/hr72 km/hrOption 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 = 0X > YX < YX â‰¥ YX â‰¤ YX = 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 = 0X > YX < YX â‰¥ YX â‰¤ YX = 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 = âˆš196X > YX < YX â‰¤ YX â‰¥ YX = Y or no relation.Option C

I. x^2 = 196

x = 14, -14

II. y = âˆš196

y = 14, 14 - I. 3x^2 + 13x + 12 = 0

II. y^2 + 9y + 20 = 0X > YX < YX â‰¥ YX â‰¤ YX = 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 = 0X > YX < YX â‰¥ YX â‰¤ YX = 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