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30 14 required run
Himalayas act like a high wall, blocking the winds from 46. (b) New Average =
passing into Central Asia, and forcing them to rise. As the 15
clouds rise their temperature drops and precipitation occurs. 32 × 15 – 30 × 14 = Required run
36. (d) Dakshin Gangotri was the first scientific base station Required run = 60
of India situated in Antarctica, part of the Indian 47. (b) Let the C.P = ` 100
Antarctic Program. It is located at a distance of 2,500 The, S.P = `133
kilometres from the South Pole. Let the marked price ` x
37. (c) The North Atlantic sea route, linking the US and Canada Then, 95% of x = 133
´
to Europe, is very busy as well. 133 100
38. (d) One of the oldest military institutions in India, it was x = 95 = 140
founded in 1905 as the Army Staff college in Deolali Marked price = 40% above C.P.
(near Bombay), relocated to its present home in 48. (a) Let the cost of production of a table = ` x.
Wellington Cantonment in The Nilgiris District of Tamil
Nadu, India. x ´ 110 115 125 = 1265
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40. (d) Freedom at Midnight (1975) is a book by Larry Collins 100 100 100
and Dominique Lapierre. It describes the events in the 1265 1000000
Indian independence movement in 1947-48, beginning x = ´ = ` 800
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with the appointment of Lord Mountbatten of Burma 110 115 125
as the last viceroy of British India, and ending with the 49. (b) Let C. P. = x
death and funeral of Mahatma Gandhi. Loss = 19%
41. (c) Let the number of boys in class be x. 119
Therefore the number of girls in class be 5x. then S.P. is 100 x
Total number of children in class = x + 5x = 6x.
Hence, 35 cannot be the total number of children as it’s If profit = 17% then S. P. = 83 x
not the multiple of 6. 100
42. (a) Let one variety of rice be x kg. According to question
Another quantity = (50 – x) kg 119x 83x
According to question x × 4.50 + (50 – x) 5 = 240 - 162 =
4.5x + 250 – 5x = 240 100 100
0.5x = 10 \ x = 450
x = 20 50. (b) Let A and B represent the sets of students who passed
Hence, the quantity of cheaper rice was 20 kg. in English and Mathematics respectively.
43. (d) Let the number of each type of notes be x. According If 15% of candidates failed in both, then 85% passed at
to question 1 × x + 5 × x + 10 × x = 640 least one of the exams.
16x = 640 Then, the total number of students passed in one or
x = 40 both subjects
( ) n B+
Total number of notes = 40 + 40 + 40 = 120 = (A È B ) = n A ( ) = ( n A Ç B )
44. (c) Let the numbers are
x, x +2, x + 4, x + 6 and x + 8. 0.85= 0.75 +0.65 – ( n A Ç B )
x x 2 x 4 x 6 x 8 ( n A Ç B ) = 1.40 – 0.85 = 0.55
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Average =
5 0.55% of number of students = 495
61 × 5 = 5x + 20 495
=
5x = 305 – 20 \ Number of students = 55 ´ 100 900
5x = 285
x = 57 + xy
First number = 57 51. (c) Net effect = x y+ 100
Last number = 65
Required difference = 65 – 57 = 8 = 15 – 20 + (15´ - 20 ) = – 5 – 3 = –8
45. (a) Let the age of Jayesh = x yr. 100
Negative sign indicates that there is a loss of 8%.
x
Therefore age of Vijay = yr . 52. (b) Milk contains in mixture = 36 liters.
2 Water contains in mixture = 4 liters
And, age of Suresh = 2x yr. Let ‘x’ be the water added to the mixture.
According the question
36 80
x + 2x = 85 4 x = 20
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2 36 = 16 + 4x
5x = 85 × 2 20 = 4x
x = 34 yr. \ x = 5 litres