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A die is tossed thrice. Find the probability of getting an odd number at least once.

Number of possible outcomes on a die = {1, 2, 3, 4, 5, 6} Favourable results getting even number = (2, 4, 6) = 3 Probability of... View Article

Find the value of k in 2x² + kx + 3 = 0 so that they have two equal roots.

It is given that the equation has two equal roots. Hence the value of the discriminant is 0. D = k2 - 4 (2) (3) k2 = 24 k = ± √24... View Article

Find the value of tan 480^o.

tan 480 = tan (360 + 120) = tan 120 = tan (90 + 30) = - cot 30 = - √3 tan 480 = - √3... View Article

Ravi made a cuboid of plasticine of dimensions 12 cm, 8 cm, and 3 cm. How many minimum number of such cuboids will be needed to form a cube of side 12cm?

The given side of cube = 12 cm, cuboid dimensions 12 cm, 8 cm, 3 cm. ⇒ Volume of cube = (side)3 = (12)3 = 1728 cm3 Volume of cuboid = 12... View Article

The matrix theory was introduced by

Matrix theory was introduced by Caley Hamilton in 1853.... View Article

The area of the triangle formed by the lines x + y = 3 and angle bisectors of the pair of straight lines x² – y² + 2y = 1 is

The given lines are x2 - (y - 1)2 = 0 (x + y - 1) = 0 The given lines are x - y + 1 = 0 and x + y - 1 = 0 whose angular bisectors... View Article

Write four integers less than – 10.

The negative integers less than - 10 are - 11, - 12, - 13, - 14.... View Article

The product of (x² + y²) (x² – y²) is

Since (a + b) (a - b) = a2 - b2... View Article

Integrate sin³ x cos³ x.

Consider the given integral.... View Article

Divide 184 into two parts such that one-third of one part may exceed one-seventh of another part by 8.

Let one of the numbers be ‘x’. The other number becomes 184 - x. (1 / 3)rd of one part may exceed (1 / 7)th of another part by 8. (x... View Article

The fractions which have one as the numerator are called

The fractions which have one as the numerator are called unit fractions.... View Article

How many edges are there in a square pyramid?

A square pyramid has 8 edges.... View Article

Prove that sin [(π / 2) – x] = cos x.

... View Article

(abcabc) ÷ (abc) = ……… (abc represents any 3-digit number).

Take abcabc ÷ abc= (abc × 1000 + abc) ÷ abc= 1000 + 1= 1001... View Article

Find the circumference of the circle with a radius of 14 cm by taking π = 22 / 7.

Radius = 14 cm Circumference = 2πr = 2 * (22 / 7) * 14 = 2 * (22 / 1) * 2 = 44 * 2 = 88 The circumference of the circle is 88 cm.... View Article

A square shape of the park of area 23,104 sq. m is to be enclosed with wire placed at heights 1, 2, 3, 4 m above the ground. Find the required length of the wire, if its length required for each circuit is 10% greater than the perimeter of the field.

Perimeter =4 * side... View Article