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What is the formula for monthly compound interest?

The formula to calculate the compound interest monthly is given by: Compound interest = Amount - Principal CI = P(1 + (r/12) )12t - P... View Article

If hcf of two numbers is 1, the two numbers are called relatively or .

If HCF of two numbers is 1, the two numbers are called relatively prime or co-prime.... View Article

Find the value of k if the straight line 2x+3y+4+k(6x−y+12)=0 is perpendicular to the line 7x+5y−4=0.

Given, the two lines are: l1 = x(2+6k)+y(3−k)+4+12k=0 ......(i) l2 = 7x+5y−4=0 ... View Article

Derivative of tan inverse x.

Solution: Derivative of tan inverse x Derivation We use the following identities and formulas. Derivative of tan x = sec2x 1 + tan2x =... View Article

Differentiate cos 2x

Solution: We have to find the derivative of cos 2x. To differentiate cos 2x, we use the chain rule. Derivative of f(g(x)) =... View Article

Is 133 a prime number?

Solution: A number that is divisible only by itself and 1 is called a prime number. A prime number has only 2 factors. The number itself and 1.... View Article

If the sum of the series 24, 20,16,…. is 60. Find the number of terms in the series.

Solution: 24, 20,16,....is an AP with a = 24, d = -4 Given sum = 60 Sum of n terms of AP = (n/2)(2a+(n-1)d) 60 = (n/2)(48 +... View Article

If a + b + c = 0, then prove that a³+ b³+ c³= 3abc.

Solution: Given that a + b + c = 0 => a+b = -c ..(i) Cubing both sides (a+b)3= -c3 (a3 + b3 + 3a2b + 3ab2) = -c3 a3 + b3 +... View Article

What percentage is 15 out of 50?

Solution: To convert fraction into percentage, multiply the fraction by 100. 15 out of 50 = 15/50 (15/50)×100 = 30% So 15 out of 50... View Article

The centre of a circle S = 0 lies on 2x – 2y + 9 = 0 and S = 0 cuts orthogonally the circle x² + y² = 4. Then the circle must pass through the point

(a) (1, 1) (b) (-1/2, 1/2) (c) (5, 5) (d) (-4, 4) Solution: Let the circle be S: x2+y2+2gx+2fy+c = 0 ..(i) Centre... View Article

Prime factorization of 3136

Solution: We divide 3136 by the smallest prime factor. We keep dividing until it gives a non-zero remainder. 3136/2 = 1568 1568/2 = 784... View Article

What is the formula for sin³x?

Solution: sin3x = (3 sin x - sin 3 x)/4 We know sin 3x = 3 sin x - 4 sin3x Transposing the terms 4 sin3x = 3 sin x - sin 3x Dividing... View Article

Choose the number that is 1/4 of 1/2 of 1/5 of 200.

(a) 4 (b) 5 (c) 20 (d) 40 Solution: 1/5 of 200 = (1/5)×200 = 40 (1/2) of 1/5 of 200 = (½)×40 = 20... View Article

Which of the following are macromolecular colloids?

(A) Soap (B) Starch (C) Cellulose (D) Both (B) and (C) The Correct Answer is (D) Both (B) and (C) Solution: The macromolecular colloids are... View Article

The carbonate of metal is isomorphous with MgCO3 and contains 6.091% of carbon. The atomic weight of the metal is :

(A) 48 (B) 68 (C) 120 (D) 137 The Correct Answer is (D) 137 Explore more such questions and answers at BYJU'S.... View Article

Which of the following mentioned property is more for nitrogen as compared to oxygen

(A) Electron affinity (B) Ionisation energy (C) Both (A) and (B) (D) None Of These The Correct Answer is (B) Ionisation energy... View Article

Which of the given set of compounds have a higher boiling point?

(A) 1-chloropropane (B) 1-chlorobutane (C) Isopropyl chloride (D) None Of These The Correct Answer is (B) 1-chlorobutane Solution:... View Article

HCF of 16 and 24 is

(A) 4 (B) 6 (C) 8 (D) 10 The Correct Answer is (C) 8 Solution: HCF of 16 The factors of 16 are 1, 2, 4, 8, 16 HCF of 24 The... View Article

A solid XY has a bcc structure. If the distance of closest approach between the two atoms is 173 pm, the edge length of the cell is :

(A) (B) 142.2 pm (C) 200 pm (D) The Correct Answer is (C) 200 pm Solution: Distance of closest approach = for BCC Here a refers to the... View Article

On heating, 4.90 g of Potassium chlorate(KClO3) shows a weight loss of 0.384g. What will be the percentage of the original decomposed Potassium chlorate(KClO3)?

(A) 10 % (B) 15 % (C) 20 % (D) 30 % The Correct Answer is (C) 20 % Solution: The reactions will be: 2 mol of KClO3 produce 3 mol O2... View Article