abdulmueed

You will deposit $2,000 today. It will grow for five years at 12% interest, but compounded semi-annually. You will then withdraw the funds annually over the next four years at the end of each year, with an annual interest rate of 8%.

Your annual withdrawal will be approximately ______.

If 2x = 3 + 5i, then the value of 2x3 + 2x2 - 7x +72 is

1) 4

2) -4

3) 8

4) -8  

If 21st and 22nd terms in the expansion of (1 + χ)44 are equal, then χ is equal to

1) 8/7

2) 21/22

3) 7/8

4) 23/24  

If the coefficient of χ8 in (aχ2 + 1/bχ )13 is equal to the coefficient of χ–8 in(aχ – 1/bχ2 )13, then a and b will satisfy the relation

1) ab + 1 = 0

2) ab = 1

3) a = 1 – b

4) a+b = – 1  

The excess pressure inside a spherical drop of water is four times that of another drop. Then their respective mass ratio is

1) 1 : 16

2) 8 : 1

3) 1 : 4

4) 1 : 64

5) 32 : 1  

The excess pressure inside one soap bubble is three times that inside a second soap bubble, then the ratio of their surface areas is

1) 1 : 9

2) 1 : 3

3) 3 : 1

4) 1 : 27

5) 9 : 1  

A spherical drop of water has radius 1 mm if surface tension of water is 70 × 10-3 Nm-1, difference of pressure between inside and outside of the spherical drop is

1) 35 Nm -2

2) 70 Nm -2

3) 140 Nm -2

4) zero  

The electrostatic force of repulsion between two positively charged ions carrying equal charge is 3.7 × 10-9 N, when they are separated by a distance of 5 Å. How much electrons are missing from each ion?

A hollow metal sphere of radius 5 cms is charged such that the potential on its surface is 10 volts. The potential at the centre of the sphere is

1) zero

2) 10 volts

3) same as at a point 5 cms away from the surface

4) same as at a point 25 cms away from the surface  

Two point charges +q and –q are held fixed at (–d, o) and (d, o) respectively of a x-y coordinate system. Then

1) The electric field E at all points on the x-axis has the same direction

2) Electric field at all points on y-axis is along x-axis

3) Work has to be done in bringing a test charge from ¥ to the origin

4) The dipole moment is 2qd along the x-axis  

When a rubber band is stretched by a distance x, it exerts a restoring force of magnitude F = ax + bx2, where a and b are constants. The work done in stretching the unstretched rubber band by L is

1) aL2 + bL3

2)

3) 

4)   

What is sum of first n integers?

The cell membrane of the red blood cell will allow water, oxygen, and carbon dioxide to pass through. Because other substances are blocked from entering,this membrane is called

Fact Sheet: Issues and Solutions

The issue is climate change

Create a one page fact sheet to distribute at your GIN workshop. Your goal is to get people’s attention, make them care about, and make them understand your issue with just one page. It must be clearly written, interesting, and factual, with all sources cited on the back.

The AM of 9 terms is 15. If one more term is added to this series, then AM becomes 16. The value of the added term is

1) 30

2) 27

3) 25

4) 23

5) 20  

In a moderately asymmetrical distribution, if the mean and median are 36 and 34 respectively, then find out the value of empirical mode.

1) 30

2) 32

3) 42

4) 22  

The sum of the coefficients in the expansion of (5χ - 4y)n , where n is a positive integer is

1) 0 

2) n

3) 1

4) - 1  

Let x1 , x2,... xn be in an AP. x1 + x4 + x9 + x11 + x20 + x22 + x27 + x30 = 272 then x1 + x3 + ...+x30 is equal to

1) 1020

2) 1200

3) 716

4) 2720

5) 2072  

Think about your daily life and give an example where you might see limiting and excess reagents in a real-world application.

The third term of a geometric progression is 4. The product of the first five terms is

1) 43

2) 45

3) 44

4) none of these  

ABCD is a square plot. The angle of elevation of the top of a pole standing at D from A or C is 30° and that from B is θ, then tan θ is equal to

1) √6

2) 1/√6

3) √3/2

4) √2/2  

A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression of 30°. After sometime, the angle of depression becomes 60°. The distance travelled by the car during this is

1) 100√3 m

2) 200√3/3 m

3) 100√3 /3 m

4) 200√3 m  

The angles of elevation of the top of a tower at two points, which are at distances a and b from the foot in the same horizontal line and on the same side of the tower, are complementary. The height of the tower is

1) ab

2) √ab

3) √(a/b)

4) √(b/a)  

The least positive remainder, when 123 × 125 × 127 is divided by 124 is

1) 4

2) 120

3) 121

4) 130  

The remainder obtained when 1! + 2! + 3 ! + ..... + 11 ! is divided by 12 is

1) 9

2) 8

3) 7

4) 6  

A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it?

A car moving at speed 50 km/h one applying brake stops at a distance of 6m. If same car move with the velocity 100 km/h, what distance it cover after applying the brakes.

1) 12 m

2) 18 m

3) 24 m

4) 6 m  

The front wheel on an ancient bicycle has radius 0.5 m. It moves with an angular velocity given by the function ω(t) = 2 + 4t2 , where t is in sec. About how far does the bicycle move between t = 2 s and t = 3s?

1) 36 m

2) 27 m

3) 21 m

4) 14 m  

Calculate the energy in joule corresponding to light of wavelength 45 nm : (Planck’s constant h = 6.63 × 10–34 Js; speed of light c = 3 × 108 ms–1)

1) 6.67 × 1015

2) 6.67 × 1011

3) 4.42 × 10–15

4) 4.42 × 10–18  

Equal masses of H2,O2 and methane have been taken in a container of volume V at temperature 27°C in identical conditions. The ratio of the volumes of gases H2 : O2 : methane would be:

1) 8 : 16 : 1

2) 16 : 8 : 1

3) 16 : 1 : 2

4) 8 : 1 : 2  

Which of the following will increase with the increase in temperature?

1) Surface tension

2) Viscosity

3) Molality

4) Vapour pressure  

What is DDT among the following?

1) Green house gas

2) A fertiliser

3) Biodegradable pollutant

4) Non-biodegradable pollutant  

A gas undergoes a thermodynamical process but the volume of the gas does not change. What is the nature of this process ?

1) Isothermal

2) Adiabatic

3) Isobaric

4) Isochoric  

If two isomers have been classified correctly as anomers, they may be also called

1) conformers

2) enantiomers

3) tautomers

4) diastereomers  

If the cube roots of unity are 1, w, w2, then the roots of the equation (x – 1)3 + 8 = 0 are

1) – 1, 1 + 2w, 1 + 2w2

2) – 1, 1 – 2w, 1 – 2w2

3) – 1, – 1, – 1

4) None of these  

If 2x = 3 + 5i, then the value of 2x3 + 2x2 - 7x +72 is

1) 4

2) -4

3) 8

4) -8  

1. Balance the equation

___P2O2 + ___H2O —> __H3PO4

A) If 82.6 g of P2O5 reacts with 26.6 g of water, determine the theoretical yield phosphoric acid using the following steps: (Convert mass to moles for the reactants^^)

2. Determine the limiting reactant

3. Determine the mass of phosphoric acid (H3PO4) produced (the theoretical yield).

4. If the actual yield of H3PO4 was 80.6 g, determine the percent yield.

Calculate the mass of of potassium nitrate required to prepare 0.450 L of a 0.890 M solution .The molar mass of potassium nitrate is 101.11g/mol

Determine the final concentration if 125mL of 0.400 M barium chloride (baCl2) solution is diluted to a final volume of 500ml