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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

5, 4, 15, 7, 23, 11, 29, _, 33,? Find the missing term.

The given series is 5, 4, 15, 7, 23, 11, 29, ? ,33 This series can be divided into two series : ( 5, 15, 23, 29, 33 ) and ( 4, 7, 11, ? ) Adding... View Article

Find the number of zeroes at the end of 1090!

The number of trailing 0s in 1090! is 270. The number of digits in 1090 factorial is 2840.... View Article

Which of the following is a linear polynomial? Write the correct alternative answer for each of the following questions. (A) x + 5 (B) x² + 5 (C) x³ + 5 (D) x⁴ + 5

A polynomial with degree 1 is called linear polynomial. So, x + 5 is a linear polynomial as the degree of this polynomial is 1.... View Article

If the difference of two number is 8 and the difference of their squares is 160. What are the numbers?

Let the two numbers be x and y Given, x - y = 8...... i) & x² - y² = 160.......ii) From equation i), we get x = y + 8 Now, by... View Article

Find the lcm and hcf of 180, 144 and 192 by applying prime factorization method

We have to find the HCF and LCM of 144, 180, 192 Factors of 144 = 2 × 2 × 2 × 2 × 3 × 3 Factors of 180 = 2 ×... View Article

Is the sum of two prime numbers is always even?

The sum of two prime numbers is not always even. Because of every prime number is an odd number except 2, However, adding two odd numbers always... View Article

The product of two numbers is 2208 and their LCM is 552. What is their HCF?

Given The product of two numbers is 2208 The LCM of the two given numbers is 552 Find out We have to determine the HCF of the numbers... View Article

If d = HCF(48, 72) find the value of d.

Given that d = HCF ( 48, 72 ) 48 = 2 x 2 x 2 x 2 *x 3 72 = 2 x 2 x 2 x3 x 3 so HCF = 2 x 2 x 2 x 3 d = 24... View Article

Given that the interest is only earned on principal, if an investment of Rs.1000.00 amount to Rs.1440.00 in two years, then what is the rate of interest earned?

Let the rate of interest is r % per annum We know that if P be any principal, t be the time of investment, r % be the rate of interest and I be... View Article

ΔABC is right-angled at A. AD is perpendicular to BC, AB = 5cm, BC = 13 cm and AC = 12 cm. Find the area of ΔABC. Also, find the length of AD.

∆ABC is right - angled at A. so, BC is definitely hypotenuse. let AB is base and AC is altitude of ∆ABC. Given, AB = 5 cm , BC = 13 cm and AC =... View Article