Archives

Find the prime factorisation of 735.

Solution: Prime factorisation is a way of expressing a number as a product of its prime factors. We can write 735 = 3×5×7×7... View Article

In a city 40% of the adults are illiterate while 85% of the children are literate If the ratio of the adults to that of the children is 2:3 then what percent of the population is literate?

Assume that, the number of adults and children are 2x and 3x respectively. From the given information, Literate Population = (100-40)%... View Article

Is 12 O’clock in the afternoon AM or PM?

Answer: AM (Ante-Meridiem) is a Latin term, used to indicate a 12-hour clock system before Noon. Also signifies before midday. It is a unit of... View Article

What does proportional relationship mean in math?

In Mathematics, the proportional relationship is defined as the relationship between two variables in which their ratios are equivalent. In... View Article

Sachin walks 20 km towards North. He turns left and walks 40 km. He again turns left and walks 20 km. Finally he moves 20 km after turning to the left. How far is he from his starting position?

According to the given information, the path formed is as follows: Hence, the required distance = (40 - 20) km = 20 km Hence, Sachin is 20... View Article

A man of height 1.5m sees the top of a tree and the angle of elevation of the top at his eye is 60°. Find the height of the tree if the distance of the man from the tree is 36m.

Given that, The distance of the man from the tree is 36 m. I.e., BC = DE = 36 m The height of the man = 1.5 m I.e., BD = CE = 1.5 m From... View Article

What is the standard deviation of the data given below? 10, 28, 13, 18, 29, 30, 22, 23, 25, and 32

Given data: 10, 28, 13, 18, 29, 30, 22, 23, 25, 32. Here, the number of observations, n = 10 Hence, ∑xi = 10 + 28 + 13 + 18 + 29 + 30 +... View Article

Choose the odd one out. (i) H (ii) Q (iii) T (iv) Z

Given letters: H, Q, T, ZLet us write the position numbers of these letters in the English alphabet.H = 8Q = 17T = 20Z = 26Except for Q, all... View Article

Find the greatest number that exactly divides 513, 1134 and 1215.

Let us find the HCF of 513, 1134 and 1215.Prime factorization of 513 = 3 x 3 x 3 x 19Prime factorization of 1134 = 2 x 3 x 3 x 3 x 3 x 7Prime... View Article

How many numbers are there from 1300 to 15300?

Number of numbers from 1300 to 15300 = 15300 - 1300 + 1 = 14001Therefore, there exist 14001 numbers from 1300 to 15300.... View Article

What is 6/7 in decimals?

The decimal form of 6/7 is 0.8571... This can be done as follows:... View Article

What is the expanded form of 5.038?

Given number: 5.038The digit 5 is in the units place, so its place value is 5.The digit 0 is in the tenths place, so its place value is 0/10.The... View Article

Find the point on the x-axis that is equidistant from (1, 2) and (3, -4).

Let A(1, 2) and B(3, -4) are the two points that are equidistant from P(x, 0).So, PA = PBSquaring on both sides,PA2 = PB2Using distance... View Article

What is 1.487 in terms of percentage?

To convert 1.487 to a percentage, multiply 1.487 by 100. 1.487 = 1.487 × 100= 148.7Therefore, 1.487 is equivalent to 148.7%.... View Article

What is the value of 5 to the power of -3?

5 to the power of -3 can be written as 5-3.5-3 = 1/53= 1/(5 × 5 × 5)= 1/125Therefore, the value of 5 to the power of -3 is 1/125.... View Article

A six-digit number is formed by repeating a three-digit number; for example, 256256 or 678678, etc. any number of this form is always exactly divisible by :

Now, 256256 = 256 × 1001 = 256,256 678678 = 678 × 1001 = 678,678 Hence, any six-digit number formed by repeating a three-digit... View Article

Let f : R→ (0,1) be a continuous function. Then, which of the following function(s) has(have) the value zero at some point in the interval (0, 1)?

We have the following options: (A) (B) (C) (D) Solution: Let us check all the options (A) Let h(x) = Then,... View Article