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Q)Â In a school examination hall, the teacher makes students sit in such a way that no students can cheat from other student. So, the teacher decides to mark the numbers on each chair from 1. 2. 3……. If there are 26 students and each student is seated at alternate position in examination hall such that […]
In a school examination hall, the teacher makes students sit in such a way that Read More »
Q) From a point on the ground, the angles of elevation of the bottom and top of a transmission tower fixed at the top of 20m high building are 450Â and 600Â respectively. Find the height of the transmission tower. Ans: Step 1:Â Let’s start by drawing a diagram for this question: Here, we can see AB is
From a point on the ground, the angles of elevation of the bottom Read More »
Q) The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum. Ans: STEP BY STEP SOLUTION Let’s draw a diagram for this question to understand it better: [Note: Since a frustum is
The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends Read More »
Q) 21 glass spheres, each of radius 2 cm are packed in a cuboidal box of internal dimensions 16 cm × 8 cm × 8 cm and, then the box is filled with water. Find the volume of water filled in the box. Ans: STEP BY STEP SOLUTION Let’s draw a diagram for this question
Q) A well of diameter 3m is dug 14m deep. The earth taken out of it has been evenly spread out in the form of a circular ring of width 4m to form an embankment. Find the height of the embankment. Ans: STEP BY STEP SOLUTION Let’s draw a diagram for this question to understand
Q) A sum of Rs. 1400 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs. 40 less than the preceding price, find the value of each of the prizes. Ans:Â It is given that each prize money is less than the
Q) Find two consecutive odd positive integers, the sum of whose squares is by using the quadratic formula. Ans: Let’s consider the 1st odd positive integer be XThen the next consecutive odd positive integers will be X + 2 Now it is given, that the sum of the squares of these two numbers is 290∴ X2
Q)Â A train travels at a certain average speed for a distance 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than the original speed. If it takes 3 hours to complete total journey, what is its original average speed? Ans: Let’s consider the original average speed
Q) The following table gives the distribution of the life time of 400 neon lamps. Find the median lifetime of a lamp. Ans: Let’s re-organize the data in the frequency table to find out each part: To find the median, we need to identify middle value of the data. Let’s rearrange the data: First, we
Q)Â A gulab jamun, contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm. Ans: STEP BY STEP SOLUTION Let’s understand the steps to calculate: First, we