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11. 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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12. 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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13. 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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14. If 36% of a number is 72, what is the number?

Answer:

Explanation:

Assume number as x then
0.36*x = 72
x = 200

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15. A box contains seven purple, five blue and eleven yellow balls. What is the minimum number of tries required to get one blue and one yellow ball ?

Answer:

Explanation:

answer is 19, 11 yellow+7 purple+after that we have only one option that is to be blue so answer is 19

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16. In how many ways the word ENGINEERING can be arranged so that no vowel come together?

Answer:

Explanation:

Total no. of ways ENGINEERING can be arranged is
E=3, N=3, G=2, I=2, R=1
=11!/(3!*3!*2!*2!) => 277200

No. of ways vowels come together
Vowels ==> (eieei)ngnrng =>
EIEEI an be considered as 1 letter ... so 1!
NGNRNG = 6!
EIEEI can be arranged as 5!/(3!*2!)
NGNRNG can be arranged as 6!/(3!*2!)

So (1!+6 !)*5!/(3!*2!*3!*2!) = 4200
So no. of ways vowels not come together = 277200 - 4200 = 273000
Ans : 273000

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17. At what rate perscent per annum of simple interest, will a sum of money double itself in 12 years?

Answer:

Explanation:

S.I=(PNR)/100
P=initial amount
Here S.I=P
but sum of the amount only double
so
P=(P*N*12)/100
so
N=8 1/3

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18. A beats B by 20metres ,B beats C by20 metres in a 100 m race .By how much A beats C?

Answer:

Explanation:

A : B = 100 : 80
B : C = 100 : 80
A : C = (A/B * B/C)= (100/80 * 100/80)= (100/64)
Therefore A beats C by = (100-64) = 36metres.

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19. The probability that a number selected at random from the first 10 natural numbers is prime,is

Answer:

Explanation:

NUMBER OF PRIME NO B/W 1 TO 10 IS :2,3,5,7
TOTAL PRIME NUMBERS =4
THEREFORE PROBALILITY=4/10=2/5

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20. When 2256 is divided by 17 the remainder would be?

Answer:

Explanation:

Here is no explanation for this answer

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