21. If 20 men or 24 women or 40 boys can do a job in 12 days working for 8 hours a day, how many men working with 6 women and 2 boys take to do a job four times as big working for 5 hours a day for 12 days?
Answer: 26 men
Explanation:Amount of work done by 20 men = 24 women = 40 boys
i.e 5man = 6 woman = 10 boys. -----------------(i)
According to the 1st condition, 5 men can do a job in 12 days working for 8 hours a day.
Required :- how many more men are required to work with 6 women and 2 boys.
Let the required number of men be M.
According to the given information,
=>(5 x 12 x 8 )/1=[(M + 5 + 1) x 5 x 12 ]/4. ( 6 women= 5men & 2 boys =1 men)
=>32= M + 6.
=>M=26.
Hence, 26 men are working with 6 women and 2 boys.
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22. Nitish sold his watch and sunglasses at a loss of 4% and gain of 4% respectively for 2600 to Kamal. Kamal sold the same sun glasses and watch at a loss of 4% and gain of 4% respectively for 2700. The price of watch and sun glasses to Nitish were.
Answer: Rs.1960, Rs.700
Explanation:Lets assume the CP of watch = Rs x
and sunglasses = Rs y.
2600=96x/100 + 104y/100
2700= 104x/100 + 96y/100
By solving,
y=700
x=1960
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23. A sum of money triples itself at compound interest in 3 years. In 9 years it will be
Answer: 27 times the principal
Explanation:p(1+ r/100) ^n=ci
p(1+r/100) ^ 3=3p
(1+r/100) ^3=3 , p(1+r/100) ^9=p(3)^3 = 27 times
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24. The Value of log8(64) - log64(4096) is
Answer: 0
Explanation:log8 (64)-log64(4096)
log8 (8^2)-log 64(64^2) = 2 - 2 = 0
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25. A man purchased a waten for Rs. 400 and sold it at a gain of 20% of the selling price. The selling price of the watch is:
Answer: 480
Explanation:S.P =((100+ GAIN%)/100) *C.P
= (120/100 ) *400
= 480
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26. How many ways word "ORANGE" can be arranged, In which vowels are not together
27. The age of the grand father is the sum of his three grandsons.The second is 2 year younger than first one and the third one is 2 year younger than the second one. Then what will be the age of the grandfather?
Answer: 3 times as older as his second grandson
Explanation:Lets assume second grandson = x year.
So, first grandson age = (x+2) year ,
third grandson = (x-2) year
So, x+2+x+x-2=3x
i.e grandfather age is 3 times as older as his second grandson
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28. Two urns contain respectively 2 red 3 white and 3 red,5 white balls.One ball is drawn at random from the first urn and transferred into the second.A ball is now drawn from the second urn and it turns out to be red. What is the probability that the transferred ball was white?
Answer: 9/17
Explanation:According to baye's theorem:
p(no of way to drawn a ball from 2nd urns is red and ball transferred from 1 urns)=(3c1/5c1)*(3c1/9c1)=9/45
Total=(2c1/5c1)*(4c1/9c1)+(3c1/5c1)*(3c1/9c1)=17/45
so probability=9/45/17/45=9/17;
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29. Rishab starts for a weeding venue at 6:00 pm and drives at a speed of 60km/hr. Ramesh starts for the same venue at 6.30 pm,and drives at a speed of 75km/hr. When will both reach the venue,provided they reach at the same time.
Answer: 8.30pm
Explanation:Here is no explanation for this answer
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30. In an exam, Ajith, Sachu, Karna, Saheep and Ramesh scored an average of 39 marks. Saheep scored 7 marks more than Ramesh. Ramesh scored 9 fewer than Ajith. Sachu scored as many as Saheep and Ramesh scored.Sachu and Karna scored 110 marks them. If Ajith scores 32 marks then how many marks did Karna score?
Answer: 57
Explanation:Lets assume marks of Ajith, Sachu, Karna, Saheep and Ramesh respectively u, v, w, x, y
So, as per the question:
z+7=x ---(i)
u- 9=z ---(ii)
x+ z=v ---(iii)
v+w=110 ---(iv)
Given, u=32 ---- (v)
By solving eq. (i), (ii), (iii), (iv) and (v)
w=57
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