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$5. R પર વ્યાખ્યાયિત સંબંધ S = {(a,b) : a ≤ 𝒃^𝟑} એ સ્વવાચક, સમિત અથવા પરંપરિત સંબંધ છે કે નહીં તે ચકા$

A circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and David are sitting

B MATHS ZONE | Kishan Sir

B MATHS ZONE | Kishan Sir

A circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and David are sitting

Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5m drawn i

The letters of the word OUGHT are written in all possible ways and these words are arranged as in a

The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by 48, is(1) 47

The square on the diagonal of a cube has an area of 1875 cm2. Calculate : (i) the side of the cube,

The dimensions of a metallic cuboid are 100 cm x 80 cm x 64 cm. It is melted and recast into a cube

A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of two smalle

Five digit numbers are formed using the digits 1,2,3,5,7 with repetitions and are written in descend

If all the six digit numbers x1 x2 x3 x4 x5 x6 with 0 x1 x2 x3 x4 x5 x6 are arranged in

Suppose Anil’s mother wants to give 5 whole fruits to Anil from a basket of 7 red apples, 5 white ap

The number of numbers, strictly between 5000 and 10000 can be formed using the digits 1,3,5,7,9 with

The number of integers, greater than 7000 that can be formed, using the digits 3,5,6,7,8 without rep

A boy needs to select five courses from 12 available courses, out of which 5 courses are language co

The number of 9 digit numbers, that can be formed using all the digits of the number 123412341 so t

Data on readership of a certain magazine show that the proportion of male readers under 35 is 0.40 a

From a bag containing 4 white and 6 black balls, two balls are drawn at random. If the balls are

A bag contains 8 red and 5 white balls. Two successive draws of 3 balls each are made such that (i)

A bag contains 3 red and 4 white balls. Two draws are made without replacement. What is the probabil

Find the probability of drawing a queen and a king from a pack of cards in two consecutive draws, th

If A and B are two events with P(A) = 𝟏/𝟑, P(B) = 𝟏/𝟒, P(𝑨∩ B) = 𝟏/𝟏𝟐. Find (i) P(A/B) (ii) P(B/A) (

If A and B are two events such that P(A) = 0.3, P(B) = 0.4, P(𝑨∩ B) = 0.2. find (i) P(A ∪ B), (ii) P

If A and B are two events such that P(A) = 𝟐/𝟑, P(𝑨 ̅ ∩ B) = 𝟏/𝟔 and P(𝑨∩ B) = 𝟏/𝟑. Find P(B), P(A ∪

From a city, 3 newspapers A, B, C are being published. A is read by 20%, B is read by 16%, C is read

A card is drawn from a pack of 52 cards. Find the probability of getting a king or a heart or a red

Three students A, B, C are in a running race. A and B have the same probability of winning and each

A box contains 4 white, 6 red, 5 black balls and 5 balls of other colours. Two balls are drawn from

In a group of 1000 persons, there are 650 who can speak Hindi, 400 can speak English, and 150 can sp

A person applies for a job in two firms A and B, the probability of his being selected in the firm

The probability that a contractor will get a plumbing contract is 𝟐/𝟑 and the probability that he w

Two cards are drawn from a pack of cards. Find the probability that they will be both red or both pi

A card is drawn from a well-shuffled pack of cards. What is the probability that it is either a spa

There are 20 tickets number 1,2,...,20. One ticket is drawn at random. Find the probability that the

From collection of 10 bulbs of which 4 are defective, 3 bulbs are selected at random and fitted into

November 2, 2024

A class consists of 6 girls and 10 boys. If a committee of three is chosen at random from the class.

A bag contains 2 black, 3 red and 5 Blue balls. Three balls are drawn at random. Find the probabili

A card is drawn from a well shuffled pack of 52 cards. Find the probability of (i) getting a king ca

A fair dice is thrown. Find the probability of getting (i) an even number, (ii) a perfect square and

Three unbiased coins are tossed. Find the probability of getting (i) exactly two heads, (ii) at leas

What is the probability that a leap year selected at random will have 53 Sundays?

(i) How many cubic cm of iron are there in an open box whose external dimensions are 36 cm, 25 cm an

Two cubes, each of volume 512 cm³ are joined end to end. Find the surface area of the resulting cubo

The surface area of a cube is 1536 〖𝒄𝒎〗^𝟐.Find: (i) the length of its edge (ii) its volume (iii) the

Find (i) the volume (ii) the total surface area (iii) the lateral surface area and (iv) the length o

Three cubes, each of side 6 cm, are joined end to end. Find the surface area of the resulting cuboid

The sum of the length, breadth and depth of a cuboid is 19 cm and length of its diagonal is 11 cm. F

The dimensions of a field are 15 m x 12 m. A pit 7.5 m x 6 m x 1.5 m is dug in one corner of the fi

The cost of papering the four wall of a room 12 m long at ₹ 6.50 per square metre is ₹ 1638

The area of a path is 6500 m2. Find the cost of covering it with gravel 14 cm deep at rate of ₹ 5.6

The volume of a cuboid is 14400 cm3 and its height is 15 cm. The cross section of the cuboid is rect

Find the length of the longest rod that can be placed in a room measuring 12 m x 9 m x 8 m.

A class room is 12.5 m long, 6.4 m broad and 5 m high. How much students can it accommodate, if each

Find the number of bricks, each measuring 25 cm x 12.5 cm x 7.5 cm, required to construct a wall 6 m

The volume of a rectangular wall is 33 m3. If its length is 16.5 m and height 8 m, find the width

Find the volume, the total surface area and the lateral surface area of a rectangular solid having :

The number of elements in the set S = {𝜽 ∈ [0,2𝝅] : 3〖𝒄𝒐𝒔〗^𝟒 𝜽 - 5〖𝒄𝒐𝒔〗^𝟐 𝜽 - 2〖𝒔𝒊𝒏〗^𝟔 𝜽 + 2 = 0} is

Let A = {2,3,4} and B = {8,9,12}. Then the number of elements in the relation R = {((𝒂_𝟏, 𝒃_𝟏),( 𝒂_

The number of elements in the set { n ∈ Z : |𝒏^𝟐 – 10n + 19| 6} is ____.

Let A = {1,2,3,4,5,6,7}. Then relation R = {(x,y) ∈ A x A : x + y = 7} is(1) an equivalence relation

Let A = {0,3,4,6,7,8,9,10} and R be the relation defined on A such that R = {(x,y) ∈ A x A : x –

Let the number of elements in sets A and B be five and two respectively. Then the number of subsets

In a group of 100 persons 75 speak English and 40 speak Hindi. Each person speaks at least one of th

Let A = {1,2,…,10} and B = {0,1,2,3,4}. The number of elements in the relation R = {(a,b) ∈ A x A

The number of integers, between 100 and 1000 having the sum of their digits equals to 14, is ____.

The number of ways five alphabets can be chosen from the alphabets of the word MATHEMATICS, where th

Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area.

A rectangle sheet of tin 45 cm by 24 cm is to be made into a box without top, by cutting off square

A square piece of tin of side 18 cm is to be made into a box without top, by cutting a square from e

Let A = {2,3,6,7} and B = {4,5,6,8}. Let R be a relation defined on A x B by (𝒂_𝟏, 𝒃_𝟏)R(𝒂_𝟐, 𝒃_

Let A = {2,3,6,8,9,11} and B = {1,4,5,10,15}. Let R be a relation of A x B defined by (a,b)R(c,d) if

Let A = {1,2,3,4,5}. Let R be a relation on A defined by xRy if and only if 4x ≤ 5y. Let m be the nu

Let the relations R1 and R2 on the set X = {1,2,3,…,20} be given by R1 = {(x,y) : 2x – 3y = 2} and R

Let the set S = {2,4,8,…,512} be partitioned into 3 sets A, B, C with equal number of elements such

Let a relation R on N x N be defined as : (x_1, y_1)R(x_2, y_2) if and only if x_1≤x_2 or y_1≤y_2.

In a survey of 220 students of a higher secondary school, it was found that at least 125 and at most

Find two positive numbers whose sum is 16 and the sum of whose cubes is minimum.

Find two positive numbers x and y such that their sum is 35 and the product x2y5 is a maximum.