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

6. Directions(6-10): Find the values of x and y, compare and choose a correct option.

7. 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

8. 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

9. 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

10. 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

11. 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

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126. Thanks for sharing your ideas with this blog. Additionally, a misconception regarding the banking companies intentions if talking about property foreclosures is that the financial institution will not take my payments. There is a fair bit of time in which the bank will take payments here and there. If you are far too deep within the hole, they should commonly desire that you pay the payment 100 . However, i am not saying that they will not take any sort of payments at all. In case you and the standard bank can have the ability to work a little something out, the particular foreclosure method may stop. However, in case you continue to miss out on payments in the new strategy, the foreclosures process can pick up from where it left off.

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