31. 25450 expressed in standard form is -
32. In 15 days, the Earth picks up 12 x 105 kg of dust from the atmosphere. In how many days will it pick up 48x 10 kg of dust ?
33. The cube of a number x is nine times of x, The value of x (where x # 0 and x # -3) is
34. The value of [(5-1 -
6-1)-1- (3-1 -
4-1)-1]
35. A camp having 80 inmates, has food sufficient for 70 days. How many inmates should leave after 10 days so that the remaining food lasts another 80 days?
36. If x = and y =
2
2 then the value of
3
(x+y) (x- y) is
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37. The sum of four consecutive multiples of 7
Find the smallest multiple is 322.
involved
38. Factorising 15xy (x - 3y) - 3y (x - 3y)
gives
39. (761)2- (239)2 =?
40. 27 when added to twice a number x, and then increased by 13, gives us 60. The
value of x is
41. When expanded, the expression (a+ 2b- c) is equal to
42. How many carpets of dimensions 3 mx 2 m are required to cover the floor of a hall, whose dimensions are 30 mx 12 m?
43. A metallic cylindrical pipe has outer radius of 3 cm and an inner radius of 2 cm. If the length of the pipe is 70 cm, then the volume of metal in the pipe, in
cm3, is
44. If the base and height of a triangle are
both doubled, then the area will be ____ the original triangle.
45. The radii of two cylindrical vessels are in the ratio of 1 3 and their heights are in the ratio of 1 2. The ratio of their volumes is
46. Out of the following rational numbers,
which is the smallest ?
47. Which of the following statements is
true?
48.
49. Three is subtracted from a number (x)
This difference when multiplied by 4, gives the product as 20. The equation is
50. In a quadrilateral, the sum of three angles
is equal to twice the fourth angle. The
measure of the fourth angle is
51. The solution of the linear equation
52. In a quadrilateral ABCD, if AB = 10 cm CD = 6 cm and 2 A+2D = 180, what
type of quadrilateral is ABCD ?
53. A die is rolled. The probability of gettinga
number greater than 1 and odd is
54. Out of 15 students participating in a
debate, 5 are girls. The probability that
the winner is a boy is
55. A survey of 300 people found that 30 of them play cricket. In a pie chart, what
would be the sector angle of this group ?
56. Two squares of area 16 cm and 36 cm
are placed adjacent to each other to form a
new shape. The perimeter of this shape is
57. What must be added to 269 to make the result a perfect square ?
58. Three metallic solid cubes of sides 6 cm, 8 cm and 10 cm are melted to forma
single cube. The length of the edge of the
new cube is
59. The smallest number that should be
added to or subtracted from the sum of squares of 9 and 10 to make it a perfect square is
60. [(24) +(7)] ^ 3/2 is equal to
61. If 5 men can do a piece of work in 28 days, then the number of persons required to do
the same work in 7 days is
62. Manu buys a pressure cooker at of of (9/10)th its marked selling price and sells it at 8%
more than its marked selling price. What
is her gain percent?
63. Samir purchased a pair of shoes for Rs. 1,344 including GST. If the sale price of
the shoes is Rs. 1,200, then the rate of GST is
64. The population of a city first increased by
10% and then decreased by 20%. The net
decrease in the population is
65. If a number is increased by 20% and
then decreased by 20%, the net increase/decrease perceptage will be
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