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21. Find the coordinates of the midpoint of the line segment joining the points A(-3,2) and B(7,8)

Answer:

Explanation:

mid point of two point
take two point a(x1,y1) and b(x2,y2)
so mid point is (x1+x2)/2 and (y1+y2)/2
so (-3+7)/2=4/2=2
and (2+8)/2=10/2=5
so mid point is (2,5)

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22. In a magical temple there are 3 doorways each leading to the interior of the temple. Every door way has an idol just inside. The magical powers of the temple doubles the flowers a devotee carries every time he/she passes under a doorway. Each devotee has to pass on straight through the doorway and cannot retrace his steps till he comes to the innermost idol. Ram carries X flowers at each idol he places an identical number of flowers Y. He returns from the temple without a single flower. X was most probably?

Answer:

Explanation:

x is 7 he enters ist temple then he has 14 he put 8(y flowers) then he had 6 flowers by entering into 2 nd temple again doubles 12 again he put 8 flowers then he had only 4 flowers again he enters with 4 flowers into 3rd temple then again it doubles i.e 8 flowers then he put all the 8 at third temple then he gets out with no flowers.

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23. An article costing rs.160 is sold at 15% discount on a mark-up price. What is the selling price after discount?

Answer:

Explanation:

As 100 % of CP = 160
100-15 % of CP = SP = (160*85)/100 = 136

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24. How many number of weights do you need to weigh 31 kg of rice if you have only one 1kg weights stone ?

Answer:

Explanation:

First we shall weight 1 Kg rice by 1 Kg weight
then 2 Kg rice by 1 Kg rice + 1 Kg weight
then 4 Kg rice by previously measured 3 Kg rice + 1 Kg weight and etc.
Hence the weights are 1, 2, 4, 8, 16.

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25. 12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days.

Answer:

Explanation:

Given work done by men and women are same
12m*4=15w*4
m/w=5/4
6 men started working and left after 2 days and the rest is completed by women in 3 days
suppose 'a' number of women started working
6m*2+aw*3=12*5*4
12a=180
a=15

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26. A rectangular ground is to be filled with square tiles of unit area. The border of the ground should be of red coloured tiles and inside white. If the number of red and white tiles are the same, find the minimum dimensions of the ground.

Answer:

Explanation:

Let us consider R for RED & W for WHITE

[R01][R02][R03][R04][R05][R06][R07][R08]
[R24][W01][W02][W03][W04][W05][W06][R09]
[R23][W07][W08][W09][W10][W11][W12][R10]
[R22][W13][W14][W15][W16][W17][W18][R11]
[R21][W19][W20][W21][W22][W23][W24][R12]
[R20][R19][R18][R17][R16][R15][R14][R13]

In this rectangle there are 24 RED & 24 WHITE.
So the dimension is (6*8) or (8*6).
Total number of tiles is 48.

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27. If 28 is divided into two parts such that one fourth of the greater part is equal to one third of the lesser part,then the greater part is.

Answer:

Explanation:

28 divided as (16 + 12).
one fourth of 16(greater part) = 4
one third of 12(lesser part) = 4

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28. if I sell two articles, one at 20% profit for rs.100 and the other at 20% loss for rs.100, what is my net profit/loss?

Answer:

Explanation:

20/100=(100-CP1)/CP1
20/100=(CP2-100)/CP2
CP1 = 500/6 = 83.33
CP2 = 500/4 = 125
Total CP = 208.33
Total SP = 200
Loss = 8.33
Loss % = Loss x 100 / CP
833.33/208.33
4.0004 % loss

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29. An article with cost price of 180 is sold at 15% profit. What is the selling price?

Answer:

Explanation:

SP=1.15*180=207

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30. The average salary per month of 30 employees in a company is Rs. 4000. If the manager's salary is added, the average salary increases to Rs. 4300, waht is the salary of the manager ?

Answer:

Explanation:

for 30 employee,avg is 4000
total salary of 30 is 30*4000=120000
after manager added,
(120000+manager salary)/31 = 4300
120000+manager salary=4300*31=133300
manager salary= 133300-120000
=13300

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