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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

How many factors of 1080 are perfect squares?

The factors of 1080 which are perfect square 1080 = 23 x 33 x 5 For, a number to be perfect square, all the powers of number should be even... View Article

7/2 is the probability of an event. Explain.

Answer: The probability of an event E is defined as the number of outcomes favourable to E divided by the total number of equally likely... View Article

Which whole number doesn’t have a successor?

Whole numbers are the basic counting numbers 0 , 1 , 2 , 3 . . . Predecessor of a number is the number which comes before it. But since there is... View Article

Find the next term in the series 2, 3, 8, 6, 3, …?

Given series in the question is 2,3,8,63,__ Here 22 − 1 = 3 32 − 1 = 8 82 − 1 = 63 632 − 1 =3968 Hence, the missing... View Article

Find the sum of the first 1000 positive integers

The sum of first n positive integers is n(n+1) / 2 So the sum of first 1000 positive integers is =1000 (1000+1) / 2 =1000 (1001) / 2 =500 ×... 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

Write 103456789 number name in the international system.

The naming of numbers in international system is different from Indian. Ones (1), tens (10), hundreds (100), one thousand (1000), ten thousands... View Article

Find the square root of 961 by using prime factorization

Prime factorization or prime factor decomposition is the process of finding which prime numbers can be multiplied together to make the original... View Article

Which one of the following is not a rational number? a) √2, b) 0, c) √4, d) √16

A number which can be expressed in the form p/q, q not equal to 0 is called a rational number. √2 is not a rational no.... View Article

The boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. Determine the speed of the stream and that of the boating till water.

Answer: Let the speed of the stream be = u km/h Let the speed of the boat be = v km/h Then Speed of the upstream will be = v - u km/h... View Article

What is the multiplicative inverse of -13/19?

The multiplicative inverse of a number is a number that nullifies the impact of the number to identity 1. The multiplicative inverse of -13/19 is... View Article