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198, 194, 185, 169, __? What will be the next number?

We have to find the next number in this series 198, 194 , 185 , 169, ? 198 - (2)² = 198 - 4 =194 194 - (3)² = 194 - 9 =185 185 -... View Article

Use Euclid’s division algorithm to find the HCF of 900 and 270

Euclid's division lemma : Let a and b be any two positive integers . Then there exists two unique whole numbers q and r such that a = bq + r , 0... View Article

Solve x – 5/2 – x – 3/5 = 1/2

Given (x-5)/2 - (x-3)/5 = 1/2 Now by taking L.C.M for 5 and 2 is 10 (5 ( x - 5) - 2(x - 3))/ 10 = 1/2 By transposing the above equation we can... View Article

The numbers __ and _ are their own reciprocals.

The numbers 1 and −1 are their own reciprocals . It is known that there is no rational number which gives one (1) if it is multiplied with... View Article

What sum of money will accumulate to Rs.5300 at 8% rate of interest in 9 months?

Let us assume the principal or sum be X And we know that Amount = Principal + interest The equation is given as Principal + Principal ×... View Article

Calculate the simple interest on Rs.6400 for 6 months at the rate of 10% per annum

If P be any sum and r% be its rate of Interest per annum for t years, then interest in t years be Interest ( I ) = ( Ptr ) / 100 Given that the... View Article

The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the numbers.

The HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y Difference = 14 ⇒ 7x - 7y = 14 ⇒ x - y = 2 Product of numbers... View Article

Jagdish can build a wall in 10 days. Narender can build the same wall in 12 days while submit takes 15 days to do the same job. Which two of them should be employed to finish the job in 6 days?

Answer: The work done by Jagdish in one day = 1/10 The work done by Narender in one day = 1/12 The work done by Sumit in one day = 1/15... View Article

If an integer k is divisible by 2, 5, 13.what is the next largest number that is divisible by all the 3 given numbers

Integer k is divisible by 2 , 5 , 13 The next largest number that is divisible by given numbers has to be found out. LCM and multiples of the LCM... View Article

What is a prime factorisation of 1225?

prime factorization calculator of 1225 Prime Factors of 1225 =5, 5, 7, 7 Which is the same as = 52 x 72... View Article

How many 3-digit numbers are divisible by 3?

The three digit natural numbers start from 100 and ends with 999 . The first three-digit number which is divisible by 3 is 102 . The last... View Article

In triangle ABC, AD is perpendicular to BC and AD² = BD x CD. Prove that triangle ABC is a right triangle.

Given that in the question, triangle ABC , AD is perpendicular to BC and AD² = BD.DC To prove : BAC = 90° in right triangles ∆ADB and... View Article

Solve by substitution method x + 2y = -1 and 2x – 3y = 12

The given equations are ⇒ x + 2y = - 1 ... (i) ⇒ 2x - 3y = 12 ...(ii) From equation (i), we get ⇒ x = - 1 - 2y ... (iii) Putting... View Article

The difference of two numbers is 4, if the difference of their reciprocals is 4/21, find the numbers.

Let a and b be two numbers a − b=4 1/b − 1/a = 4/21 a − b/ab = 4/21 ∴ a b=21 a − 21/a =4 a2 − 4a − 21... View Article

Factorise 1/x – 3 + 2/x-2 = 8/x

Given that 1/x-3 + 2/x-2 = 8/x. On taking LCM we get {x-2+ 2(x-3)}/(x-3)(x-2)= 8/x. x-2 + 2x-6/x2- 2x- 3x -6 = 8/x. 3x - 8/x2 - 5x - 6 =... View Article

Evaluate: (101)²

We have to evaluate (101)2 = (100+1)2 Using (a+b)2=a2+b2+2ab (100+1)2=1002 + 12 + 2 × 100 × 1 = 10000 + 1 + 200 = 10000 + 201 = 10201.... View Article

Find the value of x. 3(5x – 7) – 2(9x – 11) = 4(8x – 13) – 17

Given that 3(5x-7) - 2(9x-11) =4 (8x-13)-17 15x - 21 - 18x + 22 = 32x - 52 - 17 15x - 18x - 32x = 21 - 22 - 52 - 17 15x - 50x = 21 - 91 -35x =... View Article

The king, queen and jack of clubs are removed from a deck of 52 playing cards. remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of a King.

Here, King, queen and jack of club are removed from the Deck of 52 playing cards. So remaining cards in deck = 52 − 3 = 49 Total number of... View Article

Find the square root of 2809.

The square root of 2809 is the number, which multiplied by itself 2 times, is 2809. The simplified root of √2809 is number 53. 2809 is a... View Article

What is the prime factorization of 2025?

Prime Factors of 2025 =3, 3, 3, 3, 5, 5 prime factorization calculator or integer factorization of a number is the determination of the set of... View Article