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Simplify (2x-5y)³– (2x + 5y)³

Answer: We have the formula that (a−b)3 = a3 − b3 − 3ab(a−b) (a + b)3 = a3 + b3 + 3ab(a+b) The given question is (2x − 5y)3 − (2x + 5y)3 ... View Article

A salesman has the liberty to sell a hair dryer in his store at a price between Rs. 300 and Rs. 700. Profit earned by selling the hair dryer for Rs. 650 is twice the loss incurred when it is sold for Rs. 350. What is the cost price of the hair dryer?

A salesman has the liberty to sell a hair dryer in his store at a price between Rs. 300 and Rs. 700. Profit earned by selling Profit = selling... View Article

Find 5 rational numbers between 3/5 and 2/3

Answer: A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0. Any fraction fits... View Article

Find two rational and irrational numbers between √2 and √7

Two rational No. √2 & √7 are given in the question Approximate value of √2 = 1.41 & √7 = 2.64 Rational Number... View Article

A started a business with Rs.2, 70, 000 and was joined by B three months afterwards. how much money did B invest if the profit share of A at the end of the year was three- fifth of the total profit?

Answer: Let us assume the profit to be x The profit of A will be 3/5 x profit of B will be x - 3/5 x x - 3/5 x = 2/5 x ∴ profit of B will... View Article

If secA + tanA = p then find the value of cosec A.

Given Sec A + tan A = p-------(1) We know that Sec2 A - tan2 A = 1 From the identity a2 - b2 = (a + b)(a – b ) => (sec A + tan A)(sec A -... View Article

Juhi sells a washing machine for Rs. 13500. She loses 20% in the bargain. What was the price at which she bought it?

Given From the question, it is given that Selling price of washing machine = ₹ 13500 Percentage of loss = 20% Find out We have to find the... View Article

Find the HCF of 65 and 117 and express it in form of 65m + 117n

Applying division lemma to 65 and 117, we get 117 = 65 × 1 + 52 Since the remainder 52 = 0. So, apply the division lemma to the divisor 65... View Article

if n is natural number than root n is?

Let n be a natural number. Case I: n is a perfect square (1,4,9,16,25,.... etc.) Then √n is a natural number.... View Article

Use Euclid algorithm lemma to find HCF of 1651 and 2032 express the HCF in the form 1651M + 2032N

Euclid algorithm lemma, a = bq + r where 0 ≤ r < b From Euclid algorithm lemma, 2032 = 1651 × 1 + 381 Using lemma for 1651 and 381,... View Article

Solve 11x + 15y + 23 = 0, 7x – 2y – 20 by elimination method

Answer: The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or... View Article

Which number should be multiplied by 43 so that it will have 3 prime factors?

Answer: A number that has only two factors i.e. 1 and the number itself are known as Prime Numbers. Prime factorization is defined as a way of... View Article

How many two-digit numbers are divisible by 5?

Two-digit numbers divisible by 5 are 10,15,20,25.................................95 We note that here the common difference(d) is 5. Here the... View Article

Micro sims Pvt. ltd.. produces 1200 phones everyday. If out of these, 2 1/3 faulty and 4 1/3 are defective in packaging. Then how many non faulty and non defectives packaged phones are produced everyday?

First Faulty Phones = 1200 x (2 1/3%) =1200 x 7/3 x 100 = 28 Defective phones = 1200 x 13/3 x 100 = 52 So total defective and faulty phones are... View Article

Find the value. 3/7 + (-6/11) + (-8/21) + (5/22)

Given 3/7 + (- 6/11) + (- 8/21) + (5/22) Taking L.C.M. of the denominators 7, 11, 21 and 22 and then solving it. Let us determine LCM. of 7,... View Article

Ram is five years elder to his youngest sibling Shreya. Shreya is two years younger than her brother Ritesh. Ritesh is 13 years old and is Ram’s brother. How old will ram be in two years from now?

Answer: Age of Ritesh = 13 years Age of Shreya = Ritesh's age - 2 Age of shreya = 13 - 2 Age of shreya = 11 years Age of Ram = age of shreya... View Article

A couple went for a picnic, they have five sons and each son has three sisters. Each sister has one baby. In total, how many people went for the picnic?

Answer: Thirteen people went for a picnic The number of sons = 5 The number of daughters = 3 Three daughters because each son has the... View Article