Quant Test for IBPS PO Prelims Exam set – 22

1. Lakshya got 5000 as his share out of the total profit of 9000. Yogesh had invested 3000 rupees for 6 months while Lakshya invested for the whole year. Find the amount invested by Lakshya.
   1758
   1800
   1875
   1990
   1772
   Option C
   Amount invested by Lakshya = x
   12x : 3000*6
   x:1500
   Lakshya share = [x/(1500+x)]*9000 = 5000
   x = 75*25 = 1875
   
   
    



2. The average age of a Shravan and his wife was 25 years when they were married 7 years ago. Now the average age of Shravan, wife and his son is 23 years. Find the age of son now.
   4
   3
   5
   2
   6
   Option C
   (s+w – 14)/2 = 25
   s+w = 64
   Now, (s+w+son)/3 = 23
   S = 69-64 = 5 years
   
   
    



3. Hina can do a piece of work in 16 days. Gita can do the same work in 64/5 days, while Sita can do it in 32 days. All of them started to work together but Hina leaves after 4 days. Gita leaves the job 3 days before the completion of the work. How long would the work last?
   12
   9
   7
   8
   10
   Option B
   Let the work lasted for x days,
   Hina’s 4 day’s work + Gita (x – 3) day’s work + Sita’s x day’s work = 1
   ⇒ (4/16) + (x – 3) / (64/5) + x/32 = 1
   ⇒ 5(x – 3)/64 + x/32 = 1 – 1/4
   ⇒ [5(x – 3) + 2x] / 64 = 3/4
   ⇒ 7x – 15 = 48
   x = (48 + 15)/7 = 63/7 = 9 days
   
   
    



4. Arun takes thrice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat in still water and stream is:
   2:3
   4:5
   2:1
   5:6
   3:4
   Option C
   Speed downstream = x kmph
   Speed upstream = 3x kmph
   (3x+x)/2 : (3x-x)/2
   4x/2 : 2x/2 = 2:1
   
   
    



5. A and B are two persons sitting in a circular arrangement with 8 other persons. Find the probability that both A and B sit together.
   3/7
   2/9
   5/8
   1/4
   3/8
   Option B
   Total outcomes = (10 -1)! = 9!
   Favourable outcomes = (9 -1)!*2!
   Probability = 2/9
   
   
    
Directions(6-10): Find the values of x and y, compare and choose a correct option.


6. I.x^2 – 26x + 168 = 0
   II.y^2 – 30y + 209 = 0
   
   x >= y
   x > y
   y >= x
   No relation
   y > x
   Option D
   I.x^2 – 26x + 168 = 0
   =>x^2 – 12x – 14x + 168 = 0
   =>(x-12)(x-14) = 0
   =>x = 12,14
   II.y^2 – 30y + 209 = 0
   =>y^2 – 19y – 11y + 209 = 0
   =>(y-11)(y-19) = 0
   =>y = 11,19
   No relation
   
   
    



7. I.x^2 – 3x – 40 = 0
   II.y^2 – 17y + 72 = 0
   
   x > y
   x >= y
   y >= x
   y > x
   No relation
   Option C
   I.x^2 – 3x – 40 = 0
   =>x^2 – 8x + 5x – 40 = 0
   =>(x-8)(x+5) = 0
   =>x = 8,-5
   II.y^2 – 17y + 72 = 0
   =>y^2 – 9y – 8y + 72 = 0
   =>(y – 9)(y – 8) = 0
   =>y = 9,8
   y >= x
   
   
   
   
    



8. I.x^2 + 17x + 72 = 0
   II.y^2 + 19y + 90 = 0
   
   
   x > y
   x >= y
   No relation
   y >= x
   y > x
   Option B
   I.x^2 + 17x + 72 = 0
   =>x^2 + 9x + 8x + 72 =0
   =>(x + 8)(x+9) = 0
   =>x = -8,-9
   II.y^2 + 19y + 90 = 0
   =>y^2 + 10y + 9y + 90 = 0
   =>(y+ 9)(y+10) = 0
   =>y = -9,-10
   x >= y
   
   
    



9. I.x^2 – 19x + 88 = 0
   II.y^2 – 27y + 182 = 0
   
   x > y
   No relation
   x >= y
   y > x
   y >= x
   Option D
   I.x^2 – 19x + 88 = 0
   =>x^2 – 11x – 8x + 88 = 0
   =>(x – 11)(x – 8 ) = 0
   =>x = 11,8
   II.y^2 – 27y + 182 = 0
   =>y^2 – 13y – 14y + 182 = 0
   =>(y – 13)(y – 14) = 0
   =>y = 13,14
   y > x
   
   
    



10. I.x^2 – 8x – 128 = 0
    II.y^2 + y – 90 = 0
    
    No relation
    x > y
    x >= y
    y >= x
    y > x
    Option A
    I.x^2 – 8x – 128 = 0
    =>x^2 – 16x + 8x – 128 = 0
    =>(x – 16)(x+8) = 0
    =>x = 16,-8
    II.y^2 + y – 90 = 0
    =>y^2 + 10y – 9y – 90 = 0
    =>(y + 10)(y – 9) = 0
    =>y = -10,9
    No relation