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What happens to the value of a fraction if the denominator of the fraction is decreased while the numerator is kept unchanged?

The value of a fraction increases when the denominator of the fraction is decreased while the numerator is kept unchanged.... View Article

PQ is a chord of the parabola which subtends a right angle at vertex. Then locus of the centroid of triangle PSQ, where S is the focus of a given parabola, is

OP is perpendicular to OQ and O is the origin.... View Article

Convert the following as instructed. 360 seconds into minutes.

1 minute = 60 seconds360 seconds = 360 / 60= 6 minutes... View Article

Convert the following mixed fraction into improper fraction 1 (2 / 7).

To convert 1 (2 / 7) mixed fraction into an improper fraction.1 (2 / 7) = {[7 * 1] + 2} / 7= 9 / 7... View Article

The value of √99 * √396 is

The given expression is √99 * √396.... View Article

Priya’s Father weighs 70 kg. Her Mother weighs 14 kg less than her Father. What is her Mother’s weight? Priya’s Mother is twice as heavy as Priya. What is Priya’s weight?

Priya’s Father weighs 70 kg. ----- (1)Her Mother weighs 14 kg less than her Father.Priya’s Mothers weight = Priya’s Fathers... View Article

Convert the following percentages to fractions and ratios. (i) 25% (ii) 2.5% (iii) 0.25% (iv) 0.3% (v) 125%

(i) 25% 25 / 100 = 1 / 4 or 1:4 (ii) 2.5% 2.5% = 25 / 10 (25 / 10) / 100 = 25 / 1000 = 1 / 40 or 1:40 (iii) 0.25% 0.25% = 25 / 100(25 / 100) /... View Article

If the height and the base area of a right circular cone are 5cm and 48 sq.cm respectively, then the volume of the cone is equal to

h = 5 cmBase area = 48 cm2... View Article

The equation sin x + sin y + sin z = – 3 for 0 ≤ x ≤ 2π, 0 ≤ y ≤ 2π, 0 ≤ z ≤ 2π, has

The given equation is sin x + sin y + sin z = - 3, 0 ≤ x ≤ 2π, 0 ≤ y ≤ 2π, 0 ≤ z ≤ 2πx = y = z = sin-1 (- 1)x = y = z... View Article

In a question on division if four times the divisor is added to the dividend then how will the new remainder change in comparison with the original remainder?

Dividend = Divisor × Quotient + RemainderiIf four times the divisor is added to the dividend then,Dividend + 4 × divisor = Divisor... View Article

The average age of two brothers is 9 years. It is increased by 9 years when their mother’s age is also included then the age of the mother is

The average age of two brothers is 9 years.Total age = 9 × 2 = 18 yearsIf age of the mother is included the average age = 9 + 9 = 18 years... View Article

If in a certain code language ABCD is written as ZYXW, then how is the word DANCE written in that code?

A is the first letter from the beginning that is coded as the first letter from the ending i.e., Z and goes on.∴ DANCE is coded as WZMXV.... View Article

The discount percentage is 25% what is the fraction multiplied with a marked price to find the selling price?

Discount = 25%Selling price = {[Marked price] [100 - discount]} / 100= {[Marked price] [100 - 25]} / 100[Marked price] * (75 / 100) = [Marked... View Article

If a + b – 12 = 0 and ab = 27, then find the value of a³ + b³.

a + b - 12 = 0 and ab = 27... View Article

If h and k are positive numbers and h + k = 7, then [7 – k] / h = ?

It is given that h + k = 7.h = 7 - k ---- (1)[7 - k] / h = h / h= 1 [7 - k] / h = 1... View Article

What is the angle of rotation symmetry for a shape that has rotational symmetry of order 5?

The order of rotation symmetry of a pentagon is 5.Assume θ to be each angle of the pentagon.θ = 360 / 5= 72... View Article

Write the polynomial in index form (5, 0, 0, 0, – 1).

The coefficient form of the polynomial is (5, 0, 0, 0, - 1).The index form of the polynomial is 5x4 + 0x3 + 0x2 + 0x - 1.... View Article

Find the length of the side of a square whose area is 441sq.m.

Area = 441Side2 = 441Side of the square = √441= 21 m... View Article

Six animals are placed on the circumference of a circle facing towards the centre Cat is between Dog and Rabbit Hen who is to the immediate right of Parrot is not adjacent to Dog Who is to the immediate right of dog?

The given data is inadequate to come to a conclusion as there exist only 5 animals. It is difficult to find who is to the right of the dog. It is... View Article

Find the coordinates of the points on the curve y = x² + 3x + 4, the tangents at which pass through the origin.

The line passing through the origin: y = mx. The slope of the tangent of the curve is dy / dx at that point.... View Article

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