Quant Test for LIC AAO Prelims Exam Set – 15

Directions(1-5): Find the value of x and y and then compare both of them and choose a correct option.

1. I.x^2 + 19x + 84 = 0
   II.y^2 + 14y + 49 = 0
   x >= y
   y > x
   No relation
   y > x
   y >=x
   Option E
   I.x^2 + 19x + 84 = 0
   =>x^2 + 12x + 7x+ 84 = 0
   =>(x+7)(x+12) = 0
   => x = -7, – 12
   II.y^2 + 14y + 49 = 0
   =>(y+7)^2 = 0
   =>y = -7
   y >=x

    

2. I.x^2 – 87x – 270 = 0
   II.7y^2 – 11y – 18 = 0
   y >=x
   y > x
   x >= y
   y > x
   No relation
   Option E
   I.x^2 – 87x – 270 = 0
   =>x^2 – 90x + 3x – 270 = 0
   =>x = 90, – 3
   II.7y^2 – 11y – 18 = 0
   =>7y^2 – 18y + 7y – 18 = 0
   =>y = 18/7,-1
   No relation.

    

3. I.x^2 – 19x + 84 = 0
   II.y^2 -25y + 156 = 0
   y > x
   No relation
   y >=x
   x > y
   x >= y
   Option C
   I.x^2 – 19x + 84 = 0
   =>x^2 – 7x – 12x + 84 = 0
   =>(x-7)(x-12) = 0
   =>x = 7,12
   II.y^2 -25y + 156 = 0
   =>y^2 – 13y – 12y + 156 = 0
   =>(y-13)(y-12) = 0
   =>y = 13,12
   y >= x

    

4. I.x^2 – 11x + 24 = 0
   II.2y^2 – 9y + 9 = 0
   y > x
   y >=x
   y > x
   No relation
   x >= y
   Option E
   I.x^2 – 11x + 24 = 0
   =>x^2 – 8x – 3x + 24 = 0
   =>(x-3)(x-8) = 0
   =>x = 3,8
   II.2y^2 – 9y + 9 = 0
   =>2y^2 – 6y – 3y + 9 = 0
   =>(2y – 3)(y-3) = 0
   =>y = 3/2,3
   x >= y

    

5. I.2x^2 + 5x+ 3 = 0
   II.y^2 + 3x + 2 = 0
   y > x
   No relation
   x >= y
   y >=x
   y > x
   Option B
   I.2x^2 + 5x+ 3 = 0
   =>2x^2 + 2x+ 3x+ 3 = 0
   =>(x+1)(2x+3) = 0
   =>x = -1, -3/2
   II.y^2 + 3x + 2 = 0
   =>(y+1)(y+2) = 0
   =>y = -1,-2
   No relation.

    


Directions(6-10): Answer the questions based on the information given below.
The graph shows the percentage distribution of the number of people who like different fruits and one person likes only one fruit.
Total number of people who like different fruits = 7500


6. The number of people who like Apples like only one out of Apple juice and Apple shakes. The number of people who like Apple Juice and Apple Shakes are in the ratio of 5:4 resp. Find the number of people who like Apple Juice.
   1000
   2200
   2000
   1950
   1880
   Option A
   Required number of people who like Apple
   juice
   = (5/9)*1800
   = 1000

    

7. Find the ratio of the number of people who like Raspberry to the number of people who like Jackfruit.
   400
   450
   410
   370
   359
   Option B
   Required Difference = 1350 – 900 = 450

    

8. Number of people who like Apple is what percentage more or less than the number of people who like Banana ?
   70%
   60%
   50%
   20%
   40%
   Option C
   Required% = (1800 – 1200)/1200*100 = 50%

    

9. Find the ratio of the number of people who like Raspberry to the number of people who like Jackfruit.
   2:3
   2:1
   7:5
   3:4
   5:2
   Option A
   Required ratio = 9001:1350 = 2:3

    

10. Find the average number of people who like Banana and Raspberry taken together.
    1315
    1510
    1050
    1000
    1120
    Option C
    Required average = (1200+900)/2 = 1050