Archives

By how much does 1 exceed 2x – 3y – 4?

2x − 3y − 4 − 1 = 2x − 3y − 5 1 exceeds 2x − 3y − 4 by 2x − 3y − 5.... View Article

Derive the equation for the parabola y^2 = 4ax in standard form.

Take a point P (x, y) on the parabola such that, PE = PB ... (i) By distance formula, PF = (x − a)2 + y2 PB = (x + a)2 As PF = PB... View Article

How to solve the square root of 576?

576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 Taking square root on both sides, √576 = √2 × 2... View Article

Write all the prime numbers less than 10.

The prime numbers less than 10 are 2, 3, 5, 7.... View Article

What is the order of convergence of Newton Raphson Method?

Newton Raphson method has a second order of quadratic convergence.... View Article

Represent -7/2 on a number line.

The representation of -7/2 on a number line is as follows... View Article

Find two rational numbers between 1/4 and 3/4.

The rational numbers between 1/4 and 3/4 are given below.... View Article

Find three rational numbers between 4 and 5.

The three rational numbers between 4 and 5 are... View Article

Find three rational numbers between 3 / 5 and ⅞.

(3 / 5) * (8 / 8) = 24 / 40 (7 / 8) * (5 / 5) = 35 / 40 The rational numbers between 3 / 5 and 7 / 8 are 25 / 40, 26 / 40 ……. 35 / 40.... View Article

If (2.3)^x = (0.23)^y = 1000 then find the value of (1 / x) – (1 / y).

(2.3)x = (0.23)y = 1000 => log10 (2.3)x = log10 (0.23)y = log10 (103) => x log10 (2.3) = y log10 (0.23) = 3 ... View Article

Solve : – (3x – 2)/4 – (2x+3)/3 = 2/3 – x

(3x - 2)/4 - (2x+3)/3 = 2/3 - x... View Article

Define feasible region.

A feasible region is one that satisfies all the inequalities of a linear programming problem. It is based on the technique of optimization.... View Article

Which term of the A.P. 3, 15, 27, 39, … will be 132 more than its 54th term?

a = 3 n = 54 d = 12 a + (n - 1) d = 3 + (54 - 1) 12 = 3 + 53 × 12 = 3 + 636 = 639 132 + 639 = 771 771 = 3 + (n - 1) 12 768/12 + 1 = n 64 +... View Article

Select three balls and put into a circle, total sum of them must be 30. Only 2% people can solve this Question. Are you among of them 2% people?

Turn 9 to make a number 6. Obtain 6 from 1st column, Obtain 11 from the 2nd column and take 13 from the third column. The sum of these 3 numbers... View Article

Find the square root of 99999 by the long division method.

316 ----------------... View Article

How many tens are there in one lakh?

1 lakh = 100000 = 10 × 10000 = 10×ten thousand 1 lakh = 10 ten thousand... View Article

A, B and C can solve 50%, 60% and 70% of the sums from a book. If one sum from that book is given them to solve then probability that the sum will be solved is _____

P(A) = (50 / 100) = (5 / 10) P(B) = (60 / 100) = (6 / 10) and P(C) = (70 / 100) = (7/10) A, B, C are independent events. ... View Article