26. Which product shows the maximum percentage increase in price over the period?
27. If the prices of sawtimber increased by 33.33%, in which year was the difference in prices of one tonne of saw timber and one cubic metre of logs the least?
28. If one cubic metre = 700 kg for plywood and 800 kg for saw timber, find in which year was the difference in the prices of plywood and saw timber (per cubic metre) the maximum?
29. If the volume sales of plywood, saw timber and logs were 40%, 30% and 30% respectively, then what was the average realisation in 1993 per cubic metre of sales? (Weight of one cubic metre of saw dust and plywood both = 800 kg)
30. In the previous question, if in 1994, prices increased by 5%, 1% and 10% while the volume sales break-up was 40%, 30% and 30% for plywood, saw timber and logs respectively, then what was the average realisation?
31. Find the length of AB if $$\angle YBC = \angle CAX = \angle YOX = 90$$.I. Radius of the arc is given.II. OA = 5
32. Is n odd?I. n is divisible by 3, 5, 7 and 9.II. 0 < n < 400
33. Find $$2 \circledast 3$$, where $$2\circledast 3$$ need not be equal to $$3\circledast2$$I. $$1 \circledast 2$$=3II. $$a \circledast b=\frac{a+b}{a}$$, where a and b are positive.
34. Radha and Rani appeared in an examination. What was the total number of questions?I. Radha and Rani together solved 20% of the paper.II. Radha alone solved 5/3 rd of the paper solved by Rani.
35. What is the price of tea?I. Price of coffee is Rs. 5 more than that of tea.II. Price of coffee was Rs. 5 less than the price of a cold drink which cost three times the price of tea.
36. What is the value of ‘a’?I. Ratio of a and b is 3 : 5, where b is positive.II. Ratio of 2a and b is 10 12 , where a is positive.
37. In a group of 150 students, find the number of girls.I. Each girl was given 50 paise, while each boy was given 25 paise to purchase goods totaling Rs. 49.II. Girls and boys were given 30 paise each to buy goods totalling Rs. 45.
38. There are four envelopes — E1, E2, E3 and E4 — in which one was supposed to put letters L1, L2, L3 and L4 meant for persons C1, C2, C3 and C4 respectively, but by mistake the letters got jumbled up and went in wrong envelopes. Now if C2 is allowed to open an envelope at random, then how will he identify the envelope containing the letter for him?I. L2 has been put in E1.II. The letter belonging to C3 has gone in the correct envelope.
39. There are four racks numbered 1, 2, 3, 4 and four books numbered 1, 2, 3, 4. If an even rack has to contain an odd-numbered book and an odd rack contains an even-numbered book, then what is the position of book 4?I. Second book has been put in third rack.II. Third book has been put in second rack.
40. Find the value of X in terms of ‘a’.I. Arithmetic mean of X and Y is ’a’ while the geometric mean is also ‘a’.II. Y X = R; X - Y = D.
41. There are two concentric circles C1 and C2 with radii r1 and r2. The circles are such that C1 fully encloses C2. Then what is the radius of C1?I. The difference of their circumference is k cm.II. The difference of their areas is m sq. cm.
42. A circle circumscribes a square. What is the area of the square?I. Radius of the circle is given.II. Length of the tangent from a point 5 cm away from the centre of the circle is given.
43. A company has a job to prepare certain number cans and there are three machines A, B and C for this job. A can complete the job in 3 days, B can complete the job in 4 days, and C can complete the job in 6 days. How many days will the company take to complete the job if all the machines are used simultaneously?
44. $$n^3$$ is odd. Which of the following statement(s) is/are true?
I. $$n$$ is odd.
II.$$n^2$$ is odd.
III.$$n^2$$ is even.
45.
Answer the questions based on the following information. Production pattern for number of units (in cubic feet) per day.
The finished goods are to be transported to the market by a truck having a capacity of 2000 cubic feet. Any finished goods (ready at the end of the day) retained overnight at the factory will incur a storage cost of Rs 5 per cubic foot for each night of storage. The hiring cost for the truck is Rs 1000 per day.If all the units should be sent to the market, then on which days should the trucks be hired to minimize the cost?
46. If the storage cost is reduced to Re 0.80 per cubic feet per day, then on which day(s), should the truck be hired?
47. One bacterium splits into eight bacteria of the next generation. But due to environmental condition only 50% survives and remaining 50% dies after producing next generation. If the seventh generation number is 4,096 million, what is the number in first generation?
48. Three circles, each of radius 20, have centres at P, Q and R. Further, AB = 5, CD = 10 and EF = 12. What is the perimeter of ΔPQR ?
49.
Answer the questions based on the following information. The following operations are defined for real numbers.a # b=a + b, if a and b both are positive else a # b=1
a $$\triangledown$$ b=$$(a \times b)^{a+b}$$ if a\timesb is positive else a $$\triangledown$$b=1.$$\frac{(2\#1)}{(1 \triangledown 2)}$$ =
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I. Radius of the arc is given.II. OA = 5
The finished goods are to be transported to the market by a truck having a capacity of 2000 cubic feet. Any finished goods (ready at the end of the day) retained overnight at the factory will incur a storage cost of Rs 5 per cubic foot for each night of storage. The hiring cost for the truck is Rs 1000 per day.If all the units should be sent to the market, then on which days should the trucks be hired to minimize the cost?
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