| 2024-01-22 | Mean deviation of the series \( a, a+d, a+2 d, \ldots \ldots \)
\( a+2 \) nd from its mean is.... | 9:04 | 0 | |
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| 2024-01-22 | The variance of \( \alpha, \beta \) and \( \gamma \) is 9 , then the variance of
\( 5 \alpha, 5 .... | 2:03 | 0 | Let's Play |
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| 2024-01-22 | Let \( x_{1}, x_{2}, \ldots, x_{n} \) be ' \( n \) ' observations. Let \( w_{i}=l x_{i}+k \)
for.... | 4:26 | 0 | |
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| 2024-01-22 | Match the following columns
\begin{tabular}{|l|l|c|c|}
\hline \multicolumn{1}{|c|}{ Column-I } &.... | 19:36 | 0 | |
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| 2024-01-22 | The mean of five observations is 4 and their
variance is 5.2. If three of these observations are.... | 4:22 | 0 | |
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| 2024-01-22 | The weighted mean of first \( n \) natural numbers whose
weight are equal to the squares of corr.... | 3:18 | 0 | |
|
| 2024-01-22 | Consider the following distribution:
\begin{tabular}{|l|l|l|l|l|l|}
\hline Size \( \left(x_{i}\r.... | 1:46 | 2 | |
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| 2024-01-22 | The mean and median of the following number in
increasing order
\( 3,4,6, x, 10, y \) are ' 7 ' .... | 2:40 | 1 | |
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| 2024-01-22 | The weighted mean of first \( n \) natural numbers whose
weight are equal to the squares of corr.... | 3:18 | 2 | |
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| 2024-01-22 | In the series of \( 2 n \) observations, half of them each equal to \( a \) and remaining half e.... | 4:16 | 0 | |
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| 2024-01-22 | The mean and variance of 5 observations of an
experiment are 4 and 5.2 respectively. If from the.... | 6:04 | 0 | |
|
| 2024-01-22 | The arithmetic mean of the following data is given
by
\begin{tabular}{|l|l|l|l|l|l|}
\hline Vari.... | 4:32 | 0 | |
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| 2024-01-22 | The mean square deviation of a set \( \mathrm{n} \) observations
\( x_{1}, x_{2}, \ldots \ldots .... | 6:23 | 0 | |
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| 2024-01-22 | Let \( x_{1}, x_{2}, \ldots . x_{n} \) be \( \mathrm{n} \) observation such that
\( \sum x_{i}^{.... | 2:49 | 0 | |
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| 2024-01-22 | If the standard deviation of \( x_{1}, x_{2}, \ldots x_{n} \) is 3.5 , then
the standard deviati.... | 2:56 | 0 | |
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| 2024-01-22 | Probability that ' \( A \) ' speaks truth is \( 4 / 5 \). A coin is
tossed. ' \( A \) ' reports .... | 4:10 | 0 | |
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| 2024-01-22 | The mean of the following freq. table is 50 and
\( \Sigma \mathrm{f}=120 \)
\begin{tabular}{|l|l.... | 4:39 | 0 | |
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| 2024-01-22 | The mean deviation about median from the
following data \( 340,150,210,240,300,310,320 \), is.... | 3:32 | 0 | |
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| 2024-01-22 | 10 is the mean of a set of 7 observations and 5 is the
mean of a set of 3 observations. The mean.... | 1:34 | 0 | |
|
| 2024-01-22 | Let A \& B are two independent events such that P(A)
\( =\frac{1}{3} \) and \( \mathrm{P}(\mathr.... | 5:08 | 0 | |
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| 2024-01-22 | The probability of guessing correctly at least 8 out
of 10 answers on a true - false examination.... | 2:45 | 0 | |
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| 2024-01-22 | The mean of two groups of sizes 200 and 300 are 25 and 10 respectively. Their standard deviation.... | 4:11 | 1 | |
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| 2024-01-22 | The variance of first 20 -natural number is.... | 3:05 | 0 | |
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| 2024-01-22 | If the mean of the series \( x_{1}, x_{2}, \ldots \ldots x_{n} \) is \( \bar{x} \), then
the mea.... | 3:13 | 0 | |
|
| 2024-01-22 | Words are formed using all letters of the word
"CANADA". A word is selected from these words ran.... | 8:15 | 0 | |
|
| 2024-01-22 | A fair coin is tossed ' \( n \) ' times. If the probability that
head occurs 6 times is equal to.... | 2:21 | 0 | |
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| 2024-01-22 | An unbiased coin is tossed. If the result is a head, a
pair of unbiased dice is rolled and the s.... | 12:36 | 0 | |
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| 2024-01-22 | A JEE aspirant estimates that she will be successful with
an \( 80 \% \) chance, if she studies .... | 4:46 | 0 | |
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| 2024-01-22 | If \( p \) and \( q \) are chosen randomly from the set \( \{1,2,3 \),
... 10\( \} \) with repla.... | 8:42 | 0 | |
|
| 2024-01-22 | A JEE aspirant estimates that she will be successful with
an \( 80 \% \) chance, if she studies .... | 5:14 | 0 | |
|
| 2024-01-22 | Let \( E \) and \( F \) be two independent events. The
probability that exactly one of them occu.... | 6:12 | 0 | |
|
| 2024-01-22 | A bag contains 4 green and 3 red balls and bag B
contains 4 red and 3 green balls. One bag is ta.... | 6:20 | 2 | |
|
| 2024-01-22 | The probabilities of 4 cricketers \( A, B, C \) and \( D \)
scoring more than 50 runs in a match.... | 7:14 | 0 | |
|
| 2024-01-22 | If 12 identical balls are to be placed in 3 identical
boxes, then the probability that one of th.... | 3:17 | 0 | |
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| 2024-01-22 | A box contains 15 green and 10 yellow balls. If 10
balls are randomly drawn, one-by-one, with
re.... | 2:43 | 0 | |
|
| 2024-01-22 | Out of 11 consecutive natural numbers, if three
numbers are selected at random (without repetiti.... | 7:07 | 0 | |
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| 2024-01-22 | Two natural numbers \( a \) and \( b \) are selected at
random. The probability that \( a^{2}+b^.... | 8:15 | 0 | |
|
| 2024-01-22 | One ticket is selected at random from 50 tickets
numbered \( 00,01,02, \ldots, 49 \). Then, the .... | 3:54 | 0 | |
|
| 2024-01-22 | There are \( m \)-stations on a railway line. A train has to
stop at 3 intermediate stations the.... | 4:25 | 0 | |
|
| 2024-01-22 | A dice is thrown six times, it being known that each
time a different digit is shown. The probab.... | 4:08 | 0 | Show |
|
| 2024-01-22 | A man throws a die until he gets a number bigger
than 3 . The probability that he gets 5 in the .... | 5:17 | 0 | |
|
| 2024-01-22 | The probability that in a family of five members,
exactly two members have birthday on Sunday, i.... | 3:38 | 1 | |
|
| 2024-01-22 | If the letters of the word MATHEMATICS are
arranged arbitrarily, the probability that \( \mathrm.... | 5:39 | 0 | |
|
| 2024-01-22 | A bag contains 7 black and 4 white balls two balls
are drawn at a time from the bag. The probabi.... | 3:45 | 0 | |
|
| 2024-01-22 | Consider a matrix \( A=[a i j] \) of order \( 3 \times 3 \) such that aij \( =(k)^{i+j} \) where.... | 4:31 | 0 | |
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| 2024-01-22 | Let \( A=\left[\begin{array}{ll}x & 1 \\ 1 & 0\end{array}\right], x \in R \) and \( A^{4}=[a i j.... | 3:26 | 0 | |
|
| 2024-01-22 | Match the following lists:
\begin{tabular}{|c|c|c|c|}
\hline & List-I & & List-II \\
\hline A. &.... | 3:09 | 0 | |
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| 2024-01-22 | Let \( P, Q \) and \( R \) be invertible matrices of order 3 such
that \( A=P Q^{-1}, B=Q R^{-1}.... | 1:50 | 0 | |
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| 2024-01-22 | If \( A \) is a square matrix of order 3 such that \( |A|=2 \),
then \( \left|\left(\operatornam.... | 1:28 | 0 | |
|
| 2024-01-22 | Consider an arbitrary \( 3 \times 3 \) non-singular matrix \( A=[a i j] \).
A matrix \( B=[b i j.... | 3:31 | 0 | |
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| 2024-01-22 | Let \( a, b, c \in R \) be all non-zero and satisfy
\( a^{3}+b^{3}+c^{3}=2 \). If the matrix \( .... | 4:28 | 0 | |
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| 2024-01-22 | If \( \quad A=\left[\begin{array}{cc}1 & -1 \\ 2 & 1\end{array}\right], \quad B=\left[\begin{arr.... | 4:20 | 0 | |
|
| 2024-01-22 | If \( A B=A \) and \( B A=B \), then which of the following
is/are true?.... | 3:02 | 0 | |
|
| 2024-01-22 | Consider an arbitrary \( 3 \times 3 \) non-singular matrix \( A=[a i j] \).
A matrix \( B=[b i j.... | 1:34 | 0 | |
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| 2024-01-22 | Let \( A=\left[\begin{array}{cc}\cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha\end{arra.... | 3:14 | 0 | Let's Play |
|
| 2024-01-22 | If \( A \) is a matrix such that \( A^{2}+A+2 I=0 \), then
which of the following is/are true?.... | 1:26 | 0 | |
|
| 2024-01-22 | If \( \quad A=\left[\begin{array}{ll}1 & -1 \\ 2 & -1\end{array}\right], \quad B=\left[\begin{ar.... | 5:04 | 0 | |
|
| 2024-01-22 | Let \( \mathrm{M} \) and \( \mathrm{N} \) be two \( 3 \times 3 \) non-singular skew-
symmetric m.... | 3:19 | 0 | |
|
| 2024-01-22 | \( A=\left[\begin{array}{ll}2 & 2 \\ 9 & 4\end{array}\right] \), and \( I=\left[\begin{array}{ll.... | 1:28 | 0 | |
|
| 2024-01-22 | The total number of distinct \( x \in \mathrm{R} \) for which
\( \left|\begin{array}{ccc}x & x^{.... | 7:06 | 0 | |
|
| 2024-01-22 | If \( A=[a i j]_{4 \times 4} \) such that \( a i j=\left\{\begin{array}{ll}\angle, & l=J \\ 0, &.... | 2:10 | 0 | |
|
| 2024-01-22 | Let \( P=\left[\begin{array}{ccc}1 & 0 & 0 \\ 4 & 1 & 0 \\ 16 & 4 & 1\end{array}\right] \) and \.... | 3:49 | 0 | |
|
| 2024-01-22 | If \( A=\left[\begin{array}{cc}5 a & -b \\ 3 & 2\end{array}\right] \) and \( A(a d j A)=A A^{T} .... | 1:22 | 0 | |
|
| 2024-01-22 | If the adjoint of a \( 3 \times 3 \) matrix \( P \) is \( \left[\begin{array}{lll}1 & 4 & 4 \\ 2.... | 1:31 | 0 | |
|
| 2024-01-22 | Consider the system of equations
\[
\begin{array}{c}
\lambda x+y+z=1 \\
x+\lambda y+z=\lambda \\.... | 4:14 | 0 | |
|
| 2024-01-22 | If \( A \) is a square matrix such that \( A A^{T}=I \) and \( |A|=1 \)
, then \( |A-I|= \)
W..... | 1:13 | 0 | |
|
| 2024-01-22 | Consider determinant is \( \Delta=\mid \) aij \( \mid \) of order 3. If \( \Delta=2 \), then mat.... | 5:35 | 0 | |
|
| 2024-01-22 | If \( A=\left[\begin{array}{ll}\alpha & 0 \\ 1 & 1\end{array}\right] \) and \( B=\left[\begin{ar.... | 1:35 | 0 | Let's Play |
|
| 2024-01-22 | If \( A \) is a singular matrix, then \( \operatorname{adj} A \) is.... | 1:26 | 1 | |
|
| 2024-01-22 | If \( A=[a i j] \) is a square matrix of even order that
aij \( =i^{2}-j^{2} \), then
W..... | 1:33 | 0 | |
|
| 2024-01-22 | The sum of values of ' \( p \) ' for which the equations
\( x+y+z=1, x+2 y+4 z=p \), and \( x+4 .... | 4:05 | 0 | |
|
| 2024-01-22 | If \( \mathrm{A} \) is an \( 3 \times 3 \) non-singular matrix such that
\( A A^{T}=A^{T} A \) a.... | 1:49 | 0 | |
|
| 2024-01-22 | If \( \left|\begin{array}{ccc}\sin x & \sin y & \sin z \\ \cos x & \cos y & \cos z \\ \cos ^{3} .... | 8:06 | 1 | |
|
| 2024-01-22 | Let \( \Delta=\left|\begin{array}{ccc}-b c & b^{2}+b c & c^{2}+b c \\ a^{2}+a c & -a c & c^{2}+a.... | 5:56 | 1 | |
|
| 2024-01-22 | If \( A=\left[\begin{array}{cc}0 & 2 \\ 3 & -4\end{array}\right] \) and \( k A=\left[\begin{arra.... | 1:37 | 0 | |
|
| 2024-01-22 | Let \( \mathrm{a}+\mathrm{b}+\mathrm{c}=\mathrm{s} \) and \( \left|\begin{array}{ccc}s+c & a & b.... | 2:43 | 0 | |
|
| 2024-01-22 | If \( f(x)=\left|\begin{array}{ccc}a & -1 & 0 \\ a x & a & -1 \\ a x^{2} & a x & a\end{array}\ri.... | 3:22 | 0 | |
|
| 2024-01-22 | Let \( \Delta=\left|\begin{array}{ccc}-b c & b^{2}+b c & c^{2}+b c \\ a^{2}+a c & -a c & c^{2}+a.... | 1:39 | 0 | |
|
| 2024-01-22 | The values of \( k \in R \) for which the system of
equations \( x+k y+3 z=0, k x+2 y+2 z=0,2 x+.... | 2:33 | 0 | |
|
| 2024-01-22 | Given that \( x=-9 \) is a root of \( \left|\begin{array}{lll}x & 3 & 7 \\ 2 & x & 2 \\ 7 & 6 & .... | 3:32 | 0 | |
|
| 2024-01-22 | Value of \( \left|\begin{array}{ccc}x+y & z & z \\ x & y+z & x \\ y & y & z+x\end{array}\right| .... | 2:32 | 0 | |
|
| 2024-01-22 | If \( a+b+c=0 \), then one root of
\( \left|\begin{array}{ccc}a-x & c & b \\ c & b-x & a \\ b & .... | 1:46 | 0 | |
|
| 2024-01-22 | The value of the determinant \( \left|\begin{array}{lll}1 & a & a^{2}-b c \\ 1 & b & b^{2}-a c \.... | 3:08 | 0 | |
|
| 2024-01-22 | If \( \alpha, \beta \) and \( \gamma \) are the roots of \( x^{3}+a x^{2}+b=0 \), then
the value.... | 3:13 | 0 | Let's Play |
|
| 2024-01-22 | If \( \left|\begin{array}{ccc}6 i & -3 i & 1 \\ 4 & 3 i & -1 \\ 20 & 3 & i\end{array}\right|=x+i.... | 1:26 | 0 | |
|
| 2024-01-22 | If the system of equations \( x+a y=0, a z+y=0 \) and
\( a x+z=0 \) has infinite solutions then .... | 1:14 | 0 | |
|
| 2024-01-22 | The value of the determinant
\( \Delta=\left|\begin{array}{lll}x+2 & x+3 & x+5 \\ x+4 & x+6 & x+.... | 2:30 | 0 | |
|
| 2024-01-22 | If the area of a triangle with vertices \( Z_{1}, Z_{2} \) and \( Z_{3} \) is
the absolute value.... | 5:48 | 0 | |
|
| 2024-01-22 | If \( \alpha \) is the cube root of -2 , then the value of
\( \left|\begin{array}{ccc}1 & 2 \alp.... | 1:13 | 0 | Let's Play |
|
| 2024-01-22 | The number of values of \( k \) for which the system of
equations
\[
\begin{array}{l}
(k+1) x+8 .... | 1:09 | 0 | |
|
| 2024-01-22 | Let \( X, Y \) and \( Z \) be the three sets of complex numbers defined as follows:
\[
\begin{ar.... | 8:55 | 0 | |
|
| 2024-01-22 | Let \( P=\left[a_{i j}\right] \) be a \( 3 \times 3 \) matrix and let \( Q=\left[b_{i j}\right] .... | 2:41 | 0 | |
|
| 2024-01-22 | If \( \Delta=\left|\begin{array}{ccc}0 & b-a & c-a \\ a-b & 0 & c-b \\ a-c & b-c & 0\end{array}\.... | 1:06 | 0 | |
|
| 2024-01-22 | Let \( X, Y \) and \( Z \) be the three sets of complex numbers defined as follows:
\[
\begin{ar.... | 6:58 | 0 | |
|
| 2024-01-22 | If every element of a third order determinant of
value of \( \Delta \) is multiplied by 4 , then.... | 1:37 | 0 | |
|
| 2024-01-22 | If \( \left|\begin{array}{lll}a_{1} & b_{1} & c_{1} \\ a_{2} & b_{2} & c_{2} \\ a_{3} & b_{3} & .... | 0:55 | 0 | |
|
| 2024-01-22 | Match the column
\begin{tabular}{|l|l|c|c|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolu.... | 6:27 | 1 | |
|
| 2024-01-22 | \( A B C D \) is a rhombus, its diagonal \( A C \) and \( B D \) intersect at the point \( M \) .... | 10:29 | 0 | |
|
| 2024-01-22 | The value of \( \left|\begin{array}{lll}6^{2} & 6^{3} & 6^{4} \\ 6^{3} & 6^{4} & 6^{5} \\ 6^{4} .... | 1:19 | 0 | |
|
| 2024-01-22 | The number of points \( z \) in the complex plane satisfying both the equations \( |z-4-8 i|=\sq.... | 6:32 | 0 | |
|
