- C is 40% more efficient than B who is 25% more efficient than A. If A,B and C together can complete a work in 35 days. How many days B alone can complete 75% of the work?
60 days92 days75 days84 days66 daysOption D

Let the number of units of work done by A alone in one day = x units

Number of units of work done by B alone in one day = 1.25x units

Number of units of work done by C alone in one day = 1.25x *1.40 = 1.75x

units Total work =35*(x + 1.75x + 1.25x) = 140x units

Time taken by B alone to complete 75% work = (0.75*140x)/1.25x = 84 days - A and B started a business together with initial investments of Rs.12000 and Rs.15000 resp. If after one year, profit shares of A and B are Rs.(x+120) and Rs.(x+250) resp. Find the total profit of A and B taken together.
Rs.1440Rs.1352Rs.1170Rs.1154Rs.1250Option C

Ratio of profit shares of A and B = 12000:15000

= 4:5

Now, (x+120)/(x+250) = 4/5

=>x = 400

Total profit share of A and B together = 400+120+400+250

= Rs.1170 - 1120 litres of a mixture of milk and water , the ratio of milk and water present in the ratio of 5:2 resp. After addition of some amount of water to it, the ratio of milk to water in resultant mixture becomes 2:1 resp. Find the quantity of water added to the mixture.
100 litres80 litres70 litres90 litres60 litresOption B

Quantity of milk in mixture initially = (5/7)*1120

= 800 litres

Quantity of water in mixture initially = 1120 â€“ 800 = 320 litres

Let the quantity of water added be x litres.

800/(320+x) = 2/1

=>x = 80 litres - The respective ratio of speed of Ram and Shyam is 4:3. Prabhu can travel a distance of 840 km in 14 hours. If the speed of Shyam is 20% less than the speed of Prabhu. What will be the time taken by Ram to travel a distance of 512 km?
9 hours8 hours10 hours7 hours6 hoursOption B

Speed of Prabhu = 840/14 = 60 km/hr.

Speed of Shyam = 0.8*60 = 48 km/hr.

Speed of Ram = (4/3)*48 = 64 km/hr.

Required time = 512/64 = 8 hours - Pipe A and B can fill a tank together in (60/7) minutes. If pipe A is 33.33% more efficient than pipe B, find the time taken by pipe A alone to fill the tank.
15 minutes14 minutes16 minutes13 minutes12 minutesOption A

Let the efficiency of pipe B be 3x.

Efficiency of pipe A = 4x

Time taken by pipe A and B alone to fill the tank is 3x minutes and 4x minutes resp.

1/3x + 1/4x = 7/60

=>x = 5

ime taken by A alone to fill the tank = 3x = 15 minutes - 28*2 *864 /(2916)^1/2 = ? + 540
356313342320300Option A

28*2 *864 /(2916)^1/2 = ? + 540

=>28*2 *864 * 1/54 = ? + 540

=>896 â€“ 540 = ?

=>? = 356 - 125% of 7/6 of ? = 84% of 1250
771840865700720Option E

125% of 7/6 of ? = 84% of 1250

=>5/4*7/6 *? = 84/100* 1250

=>? = 84/100*1250*4/5*6/7

=>? = 720 - 544/16*32 â€“ 766 + 224 = ?
520515560546581Option D

544/16*32 â€“ 766 + 224 = ?

=>544*1/16*32 â€“ 766+ 224 = ?

=>1088 â€“ 766 + 224 = ?

=>? = 546 - 88% of 1850 + 35% of 2400 = ? + 758
15281660171016841744Option C

88% of 1850 + 35% of 2400 = ? + 758

=>0.88*1850 + 35*24 = ? + 758

=>1628 + 840 â€“ 758 = ?

=>? = 1710 - 56% of 616 – ?% of 482 = 103.66
3244415064Option D

56% of 616 – ?% of 482 = 103.66

=>0.56*616 – ?/100*482 = 103.66

=>344.96 â€“ 103.66 = ?/100*482

=>241 = ?/100*482

=>? = 50

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