- 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.
17581800187519901772Option C

Amount invested by Lakshya = x

12x : 3000*6

x:1500

Lakshya share = [x/(1500+x)]*9000 = 5000

x = 75*25 = 1875 - 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.
43526Option C

(s+w – 14)/2 = 25

s+w = 64

Now, (s+w+son)/3 = 23

S = 69-64 = 5 years - 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?
1297810Option 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 - 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:
2:34:52:15:63:4Option C

Speed downstream = x kmph

Speed upstream = 3x kmph

(3x+x)/2 : (3x-x)/2

4x/2 : 2x/2 = 2:1 - 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.
3/72/95/81/43/8Option B

Total outcomes = (10 -1)! = 9!

Favourable outcomes = (9 -1)!*2!

Probability = 2/9 - I.x^2 – 26x + 168 = 0

II.y^2 – 30y + 209 = 0

x >= yx > yy >= xNo relationy > xOption 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 - I.x^2 – 3x – 40 = 0

II.y^2 – 17y + 72 = 0

x > yx >= yy >= xy > xNo relationOption 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 - I.x^2 + 17x + 72 = 0

II.y^2 + 19y + 90 = 0x > yx >= yNo relationy >= xy > xOption 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 - I.x^2 – 19x + 88 = 0

II.y^2 – 27y + 182 = 0

x > yNo relationx >= yy > xy >= xOption 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 - I.x^2 – 8x – 128 = 0

II.y^2 + y – 90 = 0

No relationx > yx >= yy >= xy > xOption 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

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