41. There are 5 papers, ratio of marks obtained in each subject is 6:7:8:9:10. Total marks obtained is 60%. 50% is passing marks. In how many subjects did he get above 50%.
Answer:
Explanation:Total marks in 5 papers = 60% (i.e., 60*5 = 300)
6x+ 7x+ 8x+ 9x+ 10x =60/100(500)
Put x= 8 for solving,
6x= 48; 7x = 56; 8x = 64 ; 9x = 72; 10x = 80
Marks are 6:7:8:9:10 = 48+56+64+72+80 = 300
So, 4 subjects he got 50% above
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42. In boring a well 50 m deep, the cost is Rs.4/- for the first meter. The cost of each successive meter increases by Rs.2/-. What is the cost of boring the entire well?
Answer:
Explanation:For successive meters the cost of boring will be 4, 6, 8, 10, ......., which forms an arithmetic series with terms n=50, first term a=4 & difference d=2
So Sum=(n/2)[2a+(n-1)d]= Total cost of boring
=(50/2)[2*4+(50-1)*2]=25(8+98)
= 2650
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MindTree
43. Rahul is a cashew merchant in Kerala. He has cashews in sealed wooden boxes of 10kg each. The price of the cashew increases by Rs.20 per kg for every year, but at the same time, 10% of the cashews are eaten by rodents every year. If the price of a 1 kg of fresh cashew is Rs.100, what is the change in his profits if he sells a sealed box after one year of storage, rather than selling it fresh? (In Rs.)
Answer:
Explanation:Price of 1kg fresh cashew = Rs.100
Therefore, price of 10kg = Rs.100 * 10 = Rs.1000
10% of 10kg which eaten by rodents = 10*10/100 = 1kg.
So, End of Year he had 10kg - 1kg = 9kg
So, he sells that 9kg with Rs.20 per kg profit = 9 * 120 = 1080.
He buy 10kg wooden box with cashew for 1000Rs and sell that for 1080Rs.
So, profit = 1080 - 1000 = 80Rs more money he get.
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MindTree
44. What is the probability of having 53 Fridays in an ordinary year?
Answer:
Explanation:1/7 because 53 friday in ordinary year then 53*7=371 (53/371=1/7)
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MindTree
45. If 105 is represented as 253 in base 6, how is 253 represented in base 6?
Answer:
Explanation:105/6=(17*6)+3
17/6=(2*6)+5=253
likewise, 253/6=(42*6)+1
42/6=(7*6)+0
So, the answer is 701
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MindTree
46. N people were sitting on a circular manner , if each of two present in the party except the pairs were adjacent sang a song , if a song lasted for 2 mins and 28 minutes was taken for singing song , find N.
Answer:
Explanation:1st person sing with 3,4,5 and 6 (singing time 8 min as it take each song 2 min) means 2 and 7 were adjacent to him.
2nd person sing with 4,5,6 and 7(singing time 8 min) means 1 and 3 were adjacent to him. (total singing time so far is 16 min).
3rd person will sing with 5, 6 and 7(singing time 6 min) as he has already sang with 1. Also 2 and 4 were adjacent to him.(total singing time 22 min so far).
4th person will sing with 6 and 7(singing time 4 min). (total singing time 26 min so far).
5th person will sing with only 7(singing time 2 min). (total singing time 28 min).
6 and 7th persons will not sing anymore as they had already sang with every possible person(see the above singing data) (so total singing time is 28 min)
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MindTree
47. in how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together
Answer:
Explanation:The word 'OPTICAL' contains 7 different letters.
When the vowels OIA are always together, they can be supposed to form one letter.
Then, we have to arrange the letters PTCL (OIA).
Now, 5 letters can be arranged in 5! = 120 ways.
The vowels (OIA) can be arranged among themselves in 3! = 6 ways.
Required number of ways = (120 x 6) = 720.
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MindTree
48. A and B can do a piece of work in 12 days, B and C can do it in 15 days and C and A can do the same work in 20 days. How long would each take to complete the job?
Answer:
Explanation:(A+B)'s one day work is 1/12
(B+C)'s one day work is 1/15
(C+A)'s one day work is 1/20
Thus,2(A+B+C)'s one day work is 1/12+1/15+1/20=1/5
so,(A+B+C) can complete the work in 10 days.
(A+B+C)'s one day work=1/10
A 's one day work=1/10-1/15=1/30
B's one day work=1/10-1/20=1/20
C's one day work=1/10-1/12=1/60
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MindTree HCL Technologies Broadcom Ltd
49. A man visits a shopping mall almost every day and he walks up an up-going escalator that connects the ground and the first floor. If he walks up the escalator step by step it takes him 16 steps to reach the first floor. One day he doubles his stride length (walks up climbing two steps at a time) and it takes him 12 steps to reach the first floor. How many Steps are there?
Answer:
Explanation:Let d be the distance traveled, which remains same in both the cases. if v is the speed of the man and x is the speed of elevator, in case 1 the number of steps taken is
d/v+x=16
In case 2 it is
d/2v+x=12
because now he is traveling at double the speed; eliminating d, we get x=2v; therefore d=48v; when stationery x=0, we get no. of steps as 48v/v=48.
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MindTree
50. A mixture contains spirit and water in the ratio 5:1. Another mixture contains spirit and water in the ratio 2:1.What is the ratio in which two mixtures are added to get the mixture in the ratio 5:2
Answer:
Explanation:Solve by applying Simple alligation rule.
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MindTree
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