Q) A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days, she has to pay Rs. 1,500 as hostel charges while another student B, who takes food for 26 days, pays Rs. […]
real numbers
Q) A Mathematics Exhibition is being conducted in your School and one of your friends is making a model of a factor tree. He has some difficulty and asks for your help in completing a quiz for the audience. Observe the following factor tree and answer the following: 1. What will be the value of
Q) A seminar is being conducted by an Educational Organisation, where the participants will be educators of different subjects. The number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively. 1. In each room the same number of participants are to be seated and all of them being in the same
Q) To enhance the reading skills of grade X students, the school nominates you and two of your friends to set up a class library. There are two sections- section A and section B of grade X. There are 32 students in section A and 36 students in section B. 1. What is the minimum number
Q) Prove that (√2 + √3)2 is an irrational number, given that √6 is an irrational number. Ans: STEP BY STEP SOLUTION Let’s start by considering (√2 + √3)2 is a rational number (by the method of contradiction) If (√2 + √3)2 is a rational number, then it can be expressed in the form of ,
Prove that (√2 + √3)2 is an irrational number, given that √6 is an irrational number. Read More »
Q) Prove that is an irrational number. It is given that √3 is an irrational number. Ans: STEP BY STEP SOLUTION Let’s start by considering is a rational number. ∴ = (here p and q are integers and q ≠ 0) ∴ (2 – √3) = 5 ∴ √3 = 2 – 5
Q) Prove that (2 + √3) / 5 is an irrational number. It is given that √3 is an irrational number. Ans: STEP BY STEP SOLUTION Let’s start by considering is a rational number. ∴ (here p and q are integers and q ≠ 0) ∴ ∴ ∴ Since p and q are integers,
Q) In a school, there are two sections of class X. There are 40 students in the first section and 48 students in the second section. Determine the minimum number of books required for their class library so that they can be distributed equally among students of both sections. Ans: STEP-BY-STEP SOLUTION To get a
Q) A 2-digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number. Ans: Step 1: Let’s consider X and Y are the digits of the given number. Hence the given number is 10 X + Y ∴ the
A 2-digit number is such that the product of its digits is 18. When 63 is subtracted Read More »
Q) Three bells ring at intervals of 9, 12 and 15 minutes respectively. If they start tolling together, after what time will they next toll together? Ans: STEP-BY-STEP SOLUTION The three bells will ring together again when the time gap is perfect multiple of each bell’s interval Therefore, we will take LCM of three time