KBM94 Quiz

Question Number 1 If the length of the longest rod that can be placed in a cubical box is , then what is the total surface area of the cube? A. 876 cm² B. 972 cm² C. 1944cm² D. 2628 cm² Question Number 2 If the length of the longest rod that can be placed inside a cube is , then what is the volume of the cube? A. 864√3 cm³ B. 1728√3 cm³ C. 864 cm³ D. 1728 cm³ Question Number 3 A tent is in the shape of a cylinder surmounted by a cone. The diameter and height of the cylindrical part are respectively 7.2 feet and 10 feet. If the total height of the tent is 14.8 m, then what is the approximate amount of canvas required to make the tent? A. 294 feet² B. 312 feet² C. 416 feet² D. 512 feet² Question Number 4 A survey is conducted to know the number of mobile phones used in each family of a certain locality of 1000 families. The given data shows the results of the survey. Number of mobile phones 5 4 3 2 1 Number of families 500 250 150 70 30 What is the probability that a randomly chosen family has 4 mobile phones? A. 1/2 B. 1/4 C. 3/20 D. 7/100 Question Number 5 When three dice are rolled simultaneously, what is the probability of getting the same number on each of them? A. 1/36 B. 5/36 C. 1/216 D. 5/216 Question Number 6 In a class of 80 students, 25 students like to play hockey and 55 students like to play football. What is the probability that a randomly chosen student likes to play hockey? A. 3/8 B. 5/8 C. 5/16 D. 3/16 Question Number 7 The dimensions of a rectangular aluminium sheet are 110 cm × 100 cm. A 30 cm square is cut from each corner of the sheet and the sides are folded to form a cuboidal open container. What is the capacity of the container so obtained? A. 60 L B. 80 L C. 100 L D. 120 L Question Number 8 The observations of a dataset in increasing order are as follows: 2, 3, 5, x + 1, 8, 9 What is the value of x, if the mean and median are equal? A. 4 B. 5 C. 6 D. 7 Question Number 9 Shivani made some conical caps using glossy paper. The height and the radius of each cap are 24 cm and 10 cm respectively. [Use π = 3.14] If the cost of glossy paper is Rs 6 per 125 cm2, then what is the approximate cost of making 50 caps? A. Rs 1808 B. Rs 1959 C. Rs 2016 D. Rs 2457 Question Number 10 The area of an equilateral triangle of side 8 cm, is A. 12√3 cm² B. 14√3 cm² C. 16√3 cm² D. 18√3 cm²