High School

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68. A car travels 240 Km in 4 hours. What is the speed of the car?
(a) 40 Km/hr
(b) 60 Km/h
(c) 80 Km/hr
(d) 100 Km/hr.

69. What is the perimeter of a rectangle when the length is 12 cm and the breadth is 8 cm?
(a) 40 cm
(b) 44 cm
(c) 48 cm
(d) none of these.

70. Find the perimeter of a triangle with sides of 4 ft, 3 feet, and 2 ft.
(a) 9 feet 11 inches
(b) 10 feet
(c) 9 feet
(d) 12 feet 2 inches.

71. Population of a village was 375070 in the year 1991. In the year 2001 it was found to have increased by 68670. What was the population of the village in 2001?
(a) 443740
(b) 403740
(c) 443070
(d) 433740

72. If 12 men can complete a task in 15 days, how many men are required to complete the task in 10 days?
(a) 18
(b) 16
(c) 20
(d) 17

73. Find the value of 2 + 3 x 4 - 6 + 3.
(a) 10
(b) 12
(c) 14
(d) 11

74. A person walks at 6 Km/hr for 3 hr, and then at 4 Km/hr for 2 hr. What is his average speed?
(a) 4.8 Km/hr
(b) 5 Km/hr
(c) 5.2 Km/hr
(d) 5 Km/hr.

75. Solve for X: X/3 = 10
(a) 30
(b) 25
(c) 16
(d) 15

Answer :

Let's go through each of the problems one by one:

  1. To find the speed of the car, use the formula for speed: [tex]\text{Speed} = \frac{\text{Distance}}{\text{Time}}[/tex].

  • The car travels 240 km in 4 hours.
  • Speed = [tex]\frac{240 \text{ km}}{4 \text{ hours}} = 60 \text{ km/h}[/tex].
  • The correct option is (b) 60 Km/h.

  1. To find the perimeter of a rectangle, use the formula: [tex]\text{Perimeter} = 2(\text{Length} + \text{Breadth})[/tex].

  • Length = 12 cm, Breadth = 8 cm.
  • Perimeter = [tex]2(12 + 8) = 2 \times 20 = 40 \text{ cm}[/tex].
  • The correct option is (a) 40 cm.

  1. The perimeter of a triangle is the sum of the lengths of its sides.

  • Sides are 4 ft, 3 ft, and 2 ft.
  • Perimeter = [tex]4 + 3 + 2 = 9 \text{ feet}[/tex].
  • The correct option is (c) 9 feet.

  1. To find the population in 2001, add the increase to the population in 1991.

  • 1991 population = 375070
  • Increase = 68670
  • 2001 population = [tex]375070 + 68670 = 443740[/tex].
  • The correct option is (a) 443740.

  1. To find the number of men required, use the concept of inverse proportionality in work problems: [tex]\text{Men}_1 \times \text{Days}_1 = \text{Men}_2 \times \text{Days}_2[/tex].

  • 12 men can complete it in 15 days.
  • To complete it in 10 days, [tex]12 \times 15 = \text{Men}_2 \times 10[/tex].
  • [tex]\text{Men}_2 = \frac{12 \times 15}{10} = 18[/tex].
  • The correct option is (a) 18.

  1. Follow the order of operations (PEMDAS/BODMAS) to solve the expression: [tex]2 + 3 \times 4 - 6 + 3[/tex].

  • First, multiply: [tex]3 \times 4 = 12[/tex].
  • Then, perform addition and subtraction from left to right: [tex]2 + 12 - 6 + 3 = 14 - 6 + 3 = 8 + 3 = 11[/tex].
  • The correct option is (d) 11.

  1. To find the average speed, use the formula: [tex]\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}[/tex].

  • Distance at 6 km/h for 3 hours = [tex]6 \times 3 = 18 \text{ km}[/tex].
  • Distance at 4 km/h for 2 hours = [tex]4 \times 2 = 8 \text{ km}[/tex].
  • Total Distance = [tex]18 + 8 = 26 \text{ km}[/tex].
  • Total Time = [tex]3 + 2 = 5 \text{ hours}[/tex].
  • Average Speed = [tex]\frac{26}{5} = 5.2 \text{ km/h}[/tex].
  • The correct option is (c) 5.2 Km/hr.

  1. To solve for X in the equation [tex]\frac{X}{3} = 10[/tex], multiply both sides by 3.

  • [tex]X = 10 \times 3 = 30[/tex].
  • The correct option is (a) 30.

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