AP ICET 2015 Question Paper

S.P=754

trader get 16 % profit

so 116 unit =754

1 unit=6.5

100 unit =650

So C.P is 650.

Pipe can fill in 15 hr

Pipe along with Leak hole take  20 hr

So lcm of both 60

hence efficiency of pipe is 60/15= 4 

Efficiency of both is  60/20= 3 

So efficiency of leak is 4-3=1 so the leak hole take 60/1 = 60 hr to leak out all water.

A and B can fill the tank in 3 hours and 4 hours respectively.
Let the capacity of the tank be 12 units (LCM of 3 and 4)
Efficiency of A = $$\dfrac{12}{3} = 4$$ units/hour.

Efficiency of B = $$\dfrac{12}{4} = 3$$ units/hour.

If A and B are open every alternate hour starting with B, then in 2 hours, 7 units of the tank is filled.
Remaining capacity = 12-7 = 5 units.
3 units will be filled by B in 1 hour.
Remaining 2 units will be filled by A in $$\dfrac{1}{2}$$ hour.

Therefore, Total tank is filled in $$2+1+\dfrac{1}{2} = 3\dfrac{1}{2}$$ hours.

New Speed of car is 8/7 of old speed 

So new time is 7/8 of old time 

8-7=1 unit =15 min early 

So  original time is 8×15=120 min or 2 hr

A is twice efficient than B

So A =2

  B=1

Total efficiency of A & B=3

B can complete the work in 12 days

So total work is 12×1=12

A & B complete the work in together is =12/3=4 days

2 men+3 women complete the work in 10 days.

2 men +3 women =10 days

4 men = 10 days 

So equate both equation 

2 men + 3 women =4 men

3 women = 2 men 

men/women=3/2

Total work is= (2 m+3 w) ×10 days =(2×3+3×2)×10=12×10=120

So 3 men + 3 women=3×3+3×2=15 

So 120/15=8 days.

Breadth to Length ratio is 4:9

So let Breadth is 4x & Length is 9x

We know perimeter of rectangle is 2(L+B)

2(4x+9x)=52

26x=52

X=2

so Length is=9x=9×2=18

Breadth=4x=4×2=8

So area of rectangle is L×B

18×8=144 meter square.

Volume of Cylinder =V=$$\pi r^2 h$$

Volume  of sphere V=$$\frac{4}{3}\times \pi (r/2)^3$$

Cylinder Volume = Sphere Volume 

So $$\pi \times r^2 \times h = \frac{4}{3} \times \pi \times (r/2)^3$$

$$h=r/6$$

Total surface area of cube 6a^2=384 

So a=8 feet 

Where a = side of cube 

So volume of cube is a^3=(8)^3=512 cube feet