Q) Show that the number 5 × 11 × 17 + 3 × 11 is a composite number Ans: STEP BY STEP SOLUTION Let’s start solving the given expression: 5 ×11 × 17 + 3 × 11 = 11 (5 x 17 + 3) = 11 (88) = 11 x 11 x 8 it has […]
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Q) In a teachers’ workshop, the number of teachers teaching French, Hindi and English are 48, 80 and 144 respectively. Find the minimum number of rooms required if in each room the same number of teachers are seated and all of them are of the same subject. Ans: STEP BY STEP SOLUTION The number of
Q) Find the smallest number that is divisible by each of 8, 9 and 10. Ans: Since, we need to find the smallest number which has to be multiple of the given numbers, clearly we need to find the LCM of 8,9, and 10 Let’s start with LCM of 8, 9, 10. By prime factorisation, we
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Q)Â February 14 is celebrated as International Book Giving Day and many countries in the world celebrate this day. Some people in India also started celebrating this day and donated the following number of books of various subjects to a public library : History = 96, Science = 240, Mathematics = 336. These books have to
Q) Solve the following pair of linear equations: Ans: Given the equations: ……….. (i) ………….(ii) Step 1: Let’s multiply equation (i) by b2 and add to equation (ii), we get: ……….. (i) ∴ ……….. (i) ∴ ……….. (i) ∴ b2 x + a2 x = a ( a2 + b2 ) ∴ x (a2 + b2
Solve the following pair of linear equations: x/a – y/b =0, a x + b y = a2 + b2 Read More »
Q) Solve the following pair of linear equations: (a – b) x + (a + b) y = a2 – 2 a b – b2 (a + b) (x + y) = a2Â + b2 Ans:Â Given the equations: (a – b) x + (a + b) y = a2 – 2 a b – b2……
Q) Solve the following pair of linear equations: 152x – 378y = – 74– 378 x + 152y = – 604 Ans:Â Given the equations: Solve the following pair of linear equations:152 x – 378 y = – 74 ….. (i)– 378 x + 152 y = – 604 ….. (ii) We need to first
Solve the following pair of linear equations: 152x – 378y = -74, -378 x + 152y = -604 Read More »
Q) Solve the following pair of linear equations: ax + by = c bx + ay = 1 + c Ans: Given the equations: a x + b y = c ….. (i)b x + a y = 1 + c ….. (ii) Let’s multiply equation (i) with a and equation (ii) with b and we get: a2
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Q) Solve the following pair of linear equations:px + qy = p – qqx – py = p + q Ans:Â Given the equations: Solve the following pair of linear equations:px + qy = p – q …………. (i)qx – py = p + q ………….. (ii) Let’s multiply equation (i) with p and equation
Solve the following pair of linear equations: px + qy = p – q, qx – py = p + q Read More »
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