- A and B started a business together with total initial investment of Rs.5600. After 4 months, C joined them with an amount of Rs.1600. Find the profit share of C, if after a year, they received a total profit of Rs.9000.
Rs.1545Rs.1400Rs.1320Rs.1440Rs.1250Option D

Ratio of investment of (A+B): C = 5600:1600

= 7:2

Ratio of profit share = (7*12): (2*8) = 21:4

Profit share of C = 4/(21+4)*9000 = Rs.1440 - Using all the letters of the word “THURSDAY”, how many different words can be formed?
7!4!6!8!5!Option D

Total number of letters = 8

The number of 8 letters words formed is ⁸P₈ = 8!. - In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, find the number of valid votes that the other candidate got.
28002500270023002000Option C

Total number of votes = 7500

Valid votes = 80%

Total valid votes = 7500*(80/100)

1st candidate got 55% of the total valid votes.

Hence, the 2nd candidate should have got 45% of the total valid votes

=> Valid votes that 2nd candidate got = total valid votes * (45/100)

7500*(80/100)*(45/100) = 2700 - The average age of P,Q and R is 33 years. If the ratio of age of P,Q and R is 4:3:2 resp. Find the age of R.
10 years14 years18 years20 years22 yearsOption E

Let the age of P,Q and R be 4x , 3x and 2x years

resp.

(4x+3x+2x)/3 = 33

=>x = 11

Age of R = 2*11 = 22 years - The profit earned on selling an article for Rs.750 is equal to the loss incurred on selling the same article for Rs.450. At what price it should be sold to earn a profit of 24%?
Rs.770Rs.744Rs.795Rs.818Rs.700Option B

Let the CP be x. (750-x) = (x-450)

=>x = 600

Required SP =600*1.24 = Rs.744 - ?^2 – (2500% of 24) = (35)^2 – (15)^2
5080607040Option E

?^2 – (2500% of 24) = (35)^2 – (15)^2

=>?^2 – 600 = (35+15)(35-15 )

=>?^2 = 1000 + 600

=>? = 40 - 140% * 350 = ?^2 – (15)^3 / 25
2515171910Option A

140% * 350 = ?^2 – (15)^3 / 25

=> 140/100*350 = ?^2 – 3375/25

=>?^2 – 135 = 490

=>? = 25 - ?^2 – (1764)^1/2 = (1728)^1/3 + 60% of 150
814121620Option C

?^2 – (1764)^1/2 = (1728)^1/3 + 60% of 150

=>?^2 – 42 = 12+90

=>?^2 = 102 + 42

=>?^2 = 144

=>? = 12 - 990/18 * 55 – 45^2 = ?
8001000700900700Option B

990/18 * 55 – 45^2 = ?

=>? = 55*25 – 2025

=>? = 3025 – 2025

=>? = 1000 - [(529)^1/2 + 6^3 / 18]% of 800 = ?% of 224
120112118125114Option D

[(529)^1/2 + 6^3 / 18]% of 800 = ?% of 224

=>?% of 224 = (23 + 216 /18)% * 800

=>?*224 = 35*800

=>? = (35*800)/224

=>? = 125

**Directions(6-10):** What approximate value will come in place of question mark ‘?’ in the following questions.