41. A class photograph has to be taken. The front row consists of 6 girls who are sitting. 20 boys are standing behin The two corner positions are reserved for the 2 tallest boys. In how many ways can the students be arranged?
Answer: 18! * 1440
Explanation:Two tallest boys can be arranged in 2! ways, rest 18 can be arranged in 18! ways.
Girls can be arranged in 6! ways.
Total number of ways in which all the students can be arranged = 2! * 18! * 6! = 18! *1440
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42. The letter of the word LABOUR are permuted in all possible ways and the words thus formed are arranged as in a dictionary. What is the rank of the word LABOUR?
Answer: 242
Explanation:The order of each letter in the dictionary is ABLORU.
Now, with A in the beginning, the remaining letters can be permuted in 5! ways.
Similarly, with B in the beginning, the remaining letters can be permuted in 5! ways.
With L in the beginning, the first word will be LABORU, the second will be LABOUR.
Hence, the rank of the word LABOUR is 5!+5!+2 =242
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43. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
Answer: 42, 33
Explanation:Let their marks be (x + 9) and x.
Then, x + 9 = (56/100)(x + 9 + x)
25(x + 9) = 14(2x + 9)
3x = 99
x = 33
So, their marks are 42 and 33.
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44. 8 man work for 6 days to complete a work. How many men are required to complete same work in 1/2 day.
Answer: 96 Men
Explanation:To complete a work for 6 days, 8 men require
For complete a work for 1 day = 6*8 = 48 men
For complete a work in half a day(1/2) = 48*2 = 96 men
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45. 1,40,00,000 pencils are put up straight. all the pencils are of length range 3 to 6 inches. 80% of the pencils have average of five inches. so the find out the total length spanned by the pencils.
Answer: 64400000 inches to 72800000 inches
Explanation:length covered by 80% of the pencils =80/100 * 14000000 * 5 = 56000000 inches
Minimum length covered by remaining 20% of the pencils =20/100 * 14000000 * 3 = 8400000 inches
Maximum length covered by remaining 20% of the pencils =20/100 * 14000000 * 6 = 16800000 inches
Hence, total length spanned by the pencils is (56000000 +8400000) to (56000000 +16800000 )
ie, 64400000 inches to 72800000 inches
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46. Statement: "You are hereby appointed as a programmer with a probation period of one year and your performance will be reviewed at the end of the period for confirmation." - A line in an appointment letter.
Assumptions:
I. The performance of an individual generally is not known at the time of appointment offer.
II. Generally an individual tries to prove his worth in the probation period.
Answer: If both I and II are implicit.
Explanation:The performance of the individual has to be tested over a span of time as the statement mentions. So, I is implicit. The statement mentions that the individual's worth shall be reviewed (during probation period) before confirmation. So, II is also implicit.
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47. Statement: The State government has decided to appoint four thousand primary school teachers during the next financial year.
Assumptions:
I. There are enough schools in the state to accommodate four thousand additional primary school teachers.
II. The eligible candidates may not be interested to apply as the government may not finally appoint such a large number of primary school teachers.
Answer: If only assumption I is implicit
Explanation:Such decisions as given in the statement are taken only after taking the existing vacancies into consideration. So, I implicit while II isn't.
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48. A works thrice as much as B. If A takes 60 days less than B to do a work then find the number of days it would take to complete the work if both work together?
Answer: 221/2 days
Explanation:Given A works trice as much as B
So the ratio between A and B = 3:1
so 3x-x=60
and x = 30
so 1/90+1/30=221/2 days
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49. How many 1's are there in the binary form of 8*1024 + 3*64 + 3
Answer: 5
Explanation:8*1024 + 3*64 + 3 = 8387
= 10000011000011
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