**3. What is a percent of b divided by b percent of a?**

Let x be a percent of b: x=a/b

Let y be b percent of a: y=b/a

Find x/y

x/y=(a/b)/(b/a)=(a/b)^2

315 feet..

since front wheel takes 10 more revolutions so it travels 70 feet in those extra number of revolutions.

But distance travelled by front wheel is less by 2 feet as compared to rear wheel for each revolution. So this loss of 2 feet is covered by those extra revolutions taken by the front wheel.

So a deficit of 70 feet would have been created by 70/2=35 revolutions.

So rear wheel travels 35 revolution (and front wheel takes 35+10=45 Revs.) So distance is 35*9 (or 45*7) = 315 feet

**5. If Log2 x - 5 Log x + 6 = 0, then what would the value / values of x be?**

x = e2 or e3

x = e2 or e3

1:2

**11. If the 3 digit number AB9 is a perfect square then is A an odd digit?**

AB9is a perfect square.Hence unit digit of the number must be 3 or 7.Since the perfect square is a 3 digit number the numbers can be either 13,17,23,27.....the perfect squares of these numbers are 169,289,529,729..therefore its not essential that the digit 'A' must be an odd number.

0 %Explanation:Since 3x / 2 = x / (2 / 3).

Student actually wants

x*(3/2) = 3x/2

but he did

x/(2/3) = 3x/2

So, 0% of error in the result.

130.

Let,x be the correct answer and y

be the incorrect answer.

So,x+y=150..........(1)

and 4x-2y=480........(2)

By solving (1)& (2),

x=130.

So, the 130 questions were correct answer(Ans).

**15. What is the angle between the two hands of a clock when time is 8:30?**

75(approx).

ans is 75 degree

explaination;

hour hand 12hr-360deg

8hr-?

(8*360)/12=240deg

again hour hand 60min-30deg

30min-?

(30*30)/60=15deg

so total hr hand=240+15=255deg

now min hand; 60min-360deg

30min-?

(30*360)/60=180deg

difference will b 255-180=75deg

**16. If x=y=2z and xyz=256 then what is the value of x?**

x=y=2z;

xyz=256

or,xy.2z=2.256=512

or,x.x.x=512

or,x^3=8^3

or,x=8(Ans).

5.3 %Explanation:He sells 950 grams of pulses and gains 50 grams.If he sells 100 grams of pulses then he will gain (50 / 950) *100 = 5.26.

5% [Explanation: He sells 950 grams of pulses and gains 50 grams. He is getting 50 grams of pulse on 1000 grams. I.e. 5 % (50 / 1000 = 5/100)]

4MB.

each pixel can store a color ..that is either of the Red ,Green or Blue [RGB] colors.so all these 3 colors are stored consecutively in 1024 * 1280 pixels to display 16million colors approx..then the total memory used would be 1024 *1280 *3 = 3932160 bytes = 4mb

1 1/2 degrees Explanation :

The magnifying glass cannot increase the magnitude of an angle..

30%.

The Profit shall be 50%.

Consider the item price as Rs.10.

After 25% discount, the cost would be Rs 7.5

Company would be profiting 25% on original price. Hence original price is Rs 6. (25% of 6 is 1.5. So 1.5+6=7.5)

Now if discount is 10% , the cost of item would be Rs.9. Hence 50% profit (as Rs 9 is 1.5 times of 6)

G.Explanation:The order in which they are climbing is R - G - K - H - J.

Another order is also possible: (top)H-J-K-R-G (bottom). And another possibility is: (top)H-K-J-R-G(bottom). "K was between G&H" doesn't mean "only K was between G&H". Finally, there is no way to tell for sure if G,J or K was the second.

**22. 7^101+18^101 is a multiple ofa.15b.25c.35d.45?**

"Clearly," Naveen Reddy is an idiot. 7^101 + 18^101 is not the same as 7*101 + 18*101

150 men.Explanation:One day?s work = 2 / (7 * 90)One hour?s work = 2 / (7 * 90 * 8)One man?s work = 2 / (7 * 90 * 8 * 75)The remaining work (5/7) has to be completed within 60 days, because thetotal number of days allotted for the project is 150 days.So we get the equation(2 * 10 * x * 60) / (7 * 90 * 8 * 75) = 5/7 where x is the number of menworking after the 90th day.We get x = 225Since we have 75 men already, it is enough to add only 150 men..

90*75*8 = 2/7(work)

now 5/7 th of work left..

so 60*(75+x)*10 =5/7(work)

x=no of workers..

devide the two equations..

x=150

**24. Each side of a rectangle is increased by 100% .By what percentage does the areaincrease?**

300%.

100% of l=l

new length = l+l= 2l

new width = b+b= 2b

old area = l*b

new area = 2l * 2b

= 4lb

therfore increase in area= 400%

1 hr 12 minExplanation : The fast typist's work done in 1 hr = 1/2 The slow typist's work done in 1 hr = 1/3 If they work combinely, work done in 1 hr = 1/2+1/3 = 5/6 So, the work will be completed in 6/5 hours. i.e., 1+1/5 hours = 1hr 12 min.