| 2023-06-09 | A game is played with a special fair cubic die which has one red side, two blue sides, and three... | 9:54 | 3 | |
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| 2023-06-09 | A student appears for tests I, II and III. The student is successful if he passes either in test... | 8:38 | 2 | |
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| 2023-06-09 | Consider four functions,
\[
\begin{array}{l}
f(x)=\sqrt{5-x^{2}}, g(x)=\operatorname{sgn}\left(x... | 6:49 | 10 | |
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| 2023-06-09 | A pair of students is selected at random from a probability class. The probability that the pair... | 7:31 | 5 | |
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| 2023-06-09 | Comprehension-
There are \( \mathrm{n} \) students in a class and the probability that exactly \... | 9:50 | 1 | |
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| 2023-06-09 | A hotel packed breakfast for each of the three guests. Each breakfast should have consisted of t... | 7:31 | 4 | |
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| 2023-06-09 | Consider three vectors \( \vec{v}_{1}=\alpha \hat{i}+\beta \hat{j}+\gamma \hat{k}, \quad \vec{v}... | 7:38 | 1 | Let's Play |
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| 2023-06-09 | Consider 4 functions
\[
\begin{array}{l}
f(x)\left\{\begin{array}{cc}
x^{2} \sin \frac{1}{x}, & ... | 23:13 | 0 | |
|
| 2023-06-09 | Comprehension
- There are four boxes \( B_{1}, B_{2}, B_{3} \) and \( B_{4} \). Box \( B_{i} \) ... | 6:23 | 9 | |
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| 2023-06-09 | Comprehension
- There are four boxes \( B_{1}, B_{2}, B_{3} \) and \( B_{4} \). Box \( B_{i} \) ... | 7:30 | 8 | |
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| 2023-06-09 | Let \( P(E) \) denote the probability of occurrence of event \( E \). If \( A \) and \( B \) are... | 12:19 | 1 | |
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| 2023-06-09 | Comprehension-
Consider the experiment of distribution of balls among urns. Suppose we are given... | 5:38 | 0 | |
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| 2023-06-09 | Comprehension- \( \quad \) Consider the experiment of distribution of balls among urns. Suppose ... | 7:16 | 2 | |
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| 2023-06-09 | Comprehension-
Consider the experiment of distribution of balls among urns. Suppose we are given... | 6:12 | 0 | |
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| 2023-06-09 | Two numbers and are chosen at random (with out replacement) from the set \( \{1,2,3, \ldots, 5 n... | 11:29 | 9 | |
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| 2023-06-09 | Match the following Column-I with Column-II.
\begin{tabular}{|l|l|c|c|}
\hline \multicolumn{2}{|... | 18:44 | 0 | |
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| 2023-06-09 | Kapil rolls four fair 6-sided dice. What is the probability that at least one of the numbers Kap... | 9:17 | 6 | |
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| 2023-06-09 | Let \( 0P(A)1,0P(B)1 \& P(A \cup B)=P(A)+P(B) \) - \( P(A) \cdot P(B) \), then:
(a) \( P(B / A)=... | 5:57 | 0 | |
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| 2023-06-09 | Let a function \( f: X \rightarrow Y \) is defined where \( X=\{0,1,2,3, \ldots, 9\} \), \( Y=\{... | 11:08 | 0 | |
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| 2023-06-09 | Two squares are chosen from the squares of a ordinary chess board. It is given that the selected... | 7:31 | 8 | |
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| 2023-06-09 | Three ordinary and fair dice are rolled simultaneously. The probability of the sum of outcomes b... | 8:49 | 3 | |
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| 2023-06-09 | Consider all functions that can be defined from the set \( A= \) \( \{1,2,3\} \) to the set \( B... | 6:52 | 9 | |
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| 2023-06-09 | \( A \) and \( B \) are two events such that \( P(A)=\frac{1}{2}, P(B)=\frac{2}{3} \). Then whic... | 5:36 | 1 | |
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| 2023-06-09 | A fair die is rolled four times. The probability that each of the final three rolls is at least ... | 11:05 | 3 | |
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| 2023-06-09 | In a five-team fournament, each team plays one game with every other team. Each team has a \( 50... | 8:40 | 3 | Let's Play |
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| 2023-06-09 | A bag contains four tickets marked with numbers 112,121 , 211,222 . One ticket is drawn at rando... | 7:24 | 2 | |
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| 2023-06-09 | A is a set containing \( n \) distinct elements. A non-zero subset \( P \) of \( A \) is chosen ... | 6:02 | 5 | |
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| 2023-06-09 | Let \( U \) be the universal set and \( n(x)=k+1 \), the probability of selecting 2 subsets \( A... | 9:57 | 3 | |
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| 2023-06-09 | Integers \( \mathrm{a}, \mathrm{b}, \mathrm{c} \) and \( \mathrm{d} \) not necessarily distinct,... | 9:04 | 1 | |
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| 2023-06-09 | Match the column:
(a) \( \mathrm{A}-\mathrm{s}, \mathrm{B}-\mathrm{q}, \mathrm{C}-\mathrm{p}, \m... | 14:30 | 0 | |
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| 2023-06-09 | A square matrix of order \( 3 \times 3 \) is formed using the elements of the set \( \{-2016,0,2... | 12:00 | 4 | |
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| 2023-06-09 | Calculate the expected value of the sum of two numbers obtained when two fair dice are rolled. | 7:06 | 4 | |
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| 2023-06-09 | For the 3 events \( A, B \) and \( C, P \) (atleast one occurring) \( =\frac{3}{4} \), \( P( \) ... | 11:54 | 2 | |
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| 2023-06-09 | Let \( x \) be a non-zero real number. A determinant is chosen from the set of all determinants ... | 5:41 | 13 | |
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| 2023-06-09 | Person A randomly selects 4 distinct numbers from the set \( \{1,2,3,4,5,6,7,8,9\} \) and arrang... | 16:58 | 1 | |
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| 2023-06-09 | An anti-aircraft gun can take a maximum of four shots at any plane moving away from it. The prob... | 5:40 | 11 | |
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| 2023-06-09 | If \( M \) and \( N \) are independent events such that \( 0P(M)1 \) and \( 0P(N)1 \), then:
(a)... | 6:49 | 3 | |
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| 2023-06-09 | \( A \) is a set containing \( \mathrm{n} \) elements, \( A \) subset \( P \) (may be void also)... | 11:53 | 3 | |
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| 2023-06-09 | Given \( n \) sided polygon. How many \( r \) sided polygon is possible if no 2 vertices are con... | 1:52 | 1 | |
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| 2023-06-09 | If the letter of the word SUCCESS are arranged, then the probability that similar letters occurs... | 5:33 | 3 | |
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| 2023-06-09 | Comprehension
A is a set conatining \( n \) elements. A subset \( P \) of \( \mathrm{A} \) cho... | 8:30 | 2 | |
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| 2023-06-09 | Comprehension
\( \mathrm{A} \) is a set conatining \( n \) elements. A subset \( P \) of \( \m... | 8:11 | 2 | |
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| 2023-06-09 | One hundred identical coins, each with probability, \( p \), of showing up heads are tossed once... | 5:33 | 0 | Show |
|
| 2023-06-09 | Comprehension
\( \mathrm{A} \) is a set conatining \( n \) elements. A subset \( P \) of \( \m... | 7:15 | 6 | |
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| 2023-06-09 | \( P(A)=\frac{3}{8} ; P(B)=\frac{1}{2} ; P(A \cup B)=\frac{5}{8} \), which of the following do/d... | 8:35 | 3 | |
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| 2023-06-09 | Three balls are randomly and independantly tossed into bins numbered with the positive integers ... | 13:17 | 9 | |
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| 2023-06-09 | If \( E_{1} \) and \( E_{2} \) are two events such that \( P\left(E_{1}\right)=1 / 4, P\left(E_{... | 7:17 | 1 | |
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| 2023-06-09 | An unbiased coin is tossed \( \mathrm{n} \) times. Let \( X \) denote the number of times head o... | 6:10 | 3 | |
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| 2023-06-09 | Three numebrs are selected simultaneously from the set \( \{1,2,3, \ldots, 25\} \). The probabil... | 7:34 | 1 | |
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| 2023-06-09 | A pair of fair dice having six faces numbered from 1 to 6 are thrown once, suppose two events \(... | 7:09 | 3 | |
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| 2023-06-09 | Jerry starts at 0 on the real number line. He tosses a fair coin 8 times. When he gets heads, he... | 11:38 | 6 | |
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| 2023-06-09 | Alex, Mel and Chelsea play a game that has 6 rounds. In each round there is a single winner, and... | 7:09 | 0 | |
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| 2023-06-09 | If \( X \) follows a binomial distribution with parameters \( n=8 \) and \( P \) is \( 1 / 2 \),... | 5:24 | 1 | |
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| 2023-06-09 | A positive integer divisor of 12 ! is chosen at random. The probability that the division chosen... | 7:31 | 2 | |
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| 2023-06-09 | Let \( S=\{1,2,3, \ldots \ldots n\} \) be a set and two numbers \( x \) and \( y \) are drawn wi... | 4:43 | 0 | |
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| 2023-06-09 | A drawer contains 6 brown and 8 black socks well mixed. A man reaches the drawer and pulls out s... | 3:22 | 1 | |
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| 2023-06-09 | 16 players take part in a tennis tournament. The order of the matches is chosen at random. There... | 9:58 | 4 | |
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| 2023-06-09 | Una rolls 6 standard 6-sided dice simultaneously and calculates the product of the 6 numbers obt... | 7:42 | 2 | |
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| 2023-06-09 | The numbers \( 1,2, \ldots, 9 \) are randomly placed into the 9 squares of a \( 3 \times 3 \) gr... | 6:05 | 1 | |
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| 2023-06-09 | If \( p, q \) and \( r \) are three numebrs (not necessarily different) chosen randomly and with... | 7:16 | 5 | |
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| 2023-06-09 | To maintain his health a person must fulfil certain minimum daily requirements for several kinds... | 14:39 | 1 | |
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| 2023-06-09 | Three fair dice are rolled once. Given that atleast one of them shows up the face 6 . The chance... | 8:06 | 0 | Show |
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| 2023-06-09 | A man alternatively tosses a fair coin and rolls a fair ordinary dice. He starts with the coin. ... | 5:57 | 4 | |
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| 2023-06-09 | A covered basket of flowers has some lilies and roses. In search of rose, Sweety and Shweta alte... | 9:59 | 1 | |
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| 2023-06-09 | A bag contains 4 red, 5 white and 6 black balls. Three balls are selected from this bag simultan... | 7:25 | 0 | |
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| 2023-06-09 | Let \( \mathrm{S}=\{1,2,3,4, \ldots \ldots, 10\} \) and \( f(x)=\frac{4(\sqrt{x+1}-\sqrt{3-x})}{... | 10:48 | 3 | |
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| 2023-06-09 | A bag contains 10 white balls as well as black. A person draws 6 balls and finds that 3 balls ar... | 8:25 | 2 | |
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| 2023-06-09 | \( m \) red socks and \( n \) blue socks \( (mn) \) in a cupboard are well mixed up, where \( m+... | 7:12 | 3 | |
|
| 2023-06-09 | Probability that none of the three events \( (A, B, C) \) occurs
(a)
\[
\begin{array}{l}
P(\bar{... | 5:00 | 6 | |
|
| 2023-06-09 | Two integers \( \mathrm{R} \) and \( \mathrm{S} \) (not necessarily distinct) are chosen at rand... | 8:38 | 1 | |
|
| 2023-06-09 | Probability that exactly two events occurs
(a) \( P(A)+P(B)+P(C)-P(A \cup B)-P(B \cup C)-P(C \cu... | 4:30 | 0 | |
|
| 2023-06-09 | A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or... | 5:10 | 0 | |
|
| 2023-06-09 | Eight players \( P_{1}, P_{2}, P_{3}, \ldots \ldots \ldots P_{8} \) play a knock-out tournament.... | 10:47 | 5 | |
|
| 2023-06-09 | If \( a \) and \( b \) are chosen randomly by throwing a pair of fair dice then the probability ... | 6:18 | 5 | |
|
| 2023-06-09 | Let \( 0P(A)1,0P(B)1 \) and \( P(A \cup B)=P(A)+P(B) \) - \( P(A) P(B) \). Then
(a) \( P(B \mid ... | 6:40 | 8 | |
|
| 2023-06-09 | A purse contains 100 coins of unknown value, a coin drawn at random is found to be a rupee, The ... | 11:05 | 0 | |
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| 2023-06-09 | A real estate man has eight master keys to open several new houses. Only one master key will ope... | 5:38 | 1 | |
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| 2023-06-09 | A firm is engaged in breeding pigs. The pigs are fed on various products grown on the farm. They... | 14:52 | 3 | |
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| 2023-06-09 | If \( \mathrm{M} \) and \( \mathrm{N} \) are any two events, then which one of the following rep... | 6:25 | 0 | |
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| 2023-06-09 | A fruit grower can use two types of fertilizer in his garden, brand \( \mathrm{P} \) and \( Q \)... | 20:28 | 3 | |
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| 2023-06-09 | A speaks truth in \( 75 \% \) case and B in \( 80 \% \) cases. What is the probability that they... | 5:17 | 2 | |
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| 2023-06-09 | A firm manufactures headache pills in two sizes \( A \) and \( b \). Size \( A \) contains 2 gra... | 17:33 | 0 | |
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| 2023-06-09 | Mean and variance of a Binomial variable of 10 trials of the experiment are in the ratio of \( 3... | 6:02 | 2 | |
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| 2023-06-09 | If two different numbers are taken from the set \( \{0,1,2,3, \ldots \), \( 10\} \), then the pr... | 7:17 | 0 | |
|
| 2023-06-09 | Fifteen coupons are numbered \( 1,2,3, \ldots, 15 \). Seven coupons are selected at random one a... | 7:42 | 2 | |
|
| 2023-06-09 | If \( A \) and \( B \) are two independent events such that \( P(A)=\frac{1}{3} \) and \( P(B)=\... | 7:09 | 3 | |
|
| 2023-06-09 | A gardener has a supply of fertilizer of type I which consists of \( 10 \% \) nitrogen and \( 6 ... | 16:42 | 5 | |
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| 2023-06-09 | The probability that atleast one of the events \( A \) and \( B \) happens is 0.6 . If probabili... | 3:59 | 0 | |
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| 2023-06-09 | Two events \( \mathrm{A} \) and \( \mathrm{B} \) have probabilities 0.25 and 0.50 respectively. ... | 3:23 | 3 | |
|
| 2023-06-09 | A bag contains 3 red and 3 white balls. Two balls are drawn one by one. The probability that the... | 6:15 | 3 | |
|
| 2023-06-09 | A firm manufactures two products, each of which must be processed through two departments, 1 and... | 13:21 | 3 | |
|
| 2023-06-09 | A furniture manufacturing company plans to make two products : chairs and tables. From its avail... | 9:28 | 1 | |
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| 2023-06-09 | There are two boxes, namely, box-I and box-II. Box-I contains 3 red and 6 black balls. Box-II co... | 5:47 | 0 | |
|
| 2023-06-09 | One kind of cake requires \( 200 \mathrm{~g} \) of flour and \( 25 \mathrm{~g} \) of fat, anothe... | 9:47 | 0 | |
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| 2023-06-09 | In answering a question on a multiple choice test a student either knows the answer or guesses. ... | 7:28 | 0 | |
|
| 2023-06-09 | A farmer mixes two brands \( P \) and \( Q \) of cattle feed. Brand \( P \), costing. 250 per ba... | 18:25 | 4 | |
|
| 2023-06-09 | A company manufactures two type of novelty Souvenirs made of plywood. Souvenirs of type \( A \) ... | 12:21 | 0 | |
|
| 2023-06-09 | Le \( P_{1} \) and \( P_{2} \) be two planes given by
\[
\begin{array}{l}
P_{1}: 10 x+15 y+12 z-... | 13:06 | 1 | |
|
| 2023-06-09 | For the following feasible region, the linear constraints (except \( x \geq 0 \) and \( y \geq 0... | 4:43 | 0 | |
|
| 2023-06-09 | Every gram of wheat provides \( 0.1 \mathrm{~g} \) of proteins and \( 0.25 \mathrm{~g} \) of car... | 14:21 | 3 | |
|
