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2 votes
2 answers
151
ISRO 2013- Matrices /Mech
Tha matrix $ \begin{bmatrix} 0 & -4 &1 \\ 4& 0 &-5 \\ -1&5 &0 \end{bmatrix} $is (a) Orthogonal Matrix (b) Skew Symmetric (c) Symmetric (d) Idempotent
Tha matrix $ \begin{bmatrix} 0 & -4 &1 \\ 4& 0 &-5 \\ -1&5 &0 \end{bmatrix} $is (a) Orthogonal Matrix(b) Skew Symmetric(c) Symmetric(d) Idempotent
2 votes
2 answers
152
ISRO 2013 - Matrices [Mech]
If A is Square Matrix of order 3, then product of A and its transpose is (a) Unit Matrix (b) Zero Matrix (c) Identity Matrix (d) Symmetric Matrix
If A is Square Matrix of order 3, then product of A and its transpose is(a) Unit Matrix(b) Zero Matrix(c) Identity Matrix(d) Symmetric Matrix
0 votes
1 answer
153
ISRO 2013 - matrices [Mech]
If A=$\begin{bmatrix} 8 & 5 & \\ 7& 6 & \end{bmatrix}$ then |$A^{121}$ - $A^{120}$ | is: a) 0 b) 1 c) 120 d) 121
If A=$\begin{bmatrix} 8 & 5 & \\ 7& 6 & \end{bmatrix}$ then |$A^{121}$ - $A^{120}$ | is:a) 0b) 1c) 120d) 121
0 votes
3 answers
154
ISRO 2014- Probability [Mech]
A purse contains 4 copper coins and 3 silver coins. A second purse contains 6 copper coins and 4 silver coins. A purse is chosen randomly and a coin is taken out of it. What is the probability that it is a copper coin? a) 70/82 b) 35/70 c) 41/82 d) 41/70
A purse contains 4 copper coins and 3 silver coins. A second purse contains 6 copper coins and 4 silver coins. A purse is chosen randomly and a coin is taken out of it. W...
0 votes
1 answer
155
ISRO 2014- vector {mech}
Angle made between vector C = 2i- 3j+ 4k and the Z-axis is a) 4 /√29 b) $sin^ {- 1}$ 4 /√29 c) $cos^ {-1}$ 4 /√29 d) $tan ^{-1 }$4 /√29
Angle made between vector C = 2i- 3j+ 4k and the Z-axis isa) 4 /√29b) $sin^ {- 1}$ 4 /√29c) $cos^ {-1}$ 4 /√29d) $tan ^{-1 }$4 /√29
2 votes
1 answer
156
ISRO 2014 -Matrices [Mech]
Let M be a 3 x 3 matrix satisfying: Then the sum of the diagonal entries of M is: (a) 9 (b) 12 (c) 6 (d)0
Let M be a 3 x 3 matrix satisfying:Then the sum of the diagonal entries of M is:(a) 9 (b) 12(c) 6(d)0
0 votes
1 answer
157
ISRO 2014- Matrices [mech]
Let A= $\begin{bmatrix} 0 &0 & -1\\ 0& -1 & 0\\ -1 &0 & 0 \end{bmatrix}$ The only correct statement about the matrix A is (a) A is a ZERO matrix (b) A2=I (c) A-1 does not exist (d) A= (-1) I, where I is a Unit matrix
Let A= $\begin{bmatrix} 0 &0 & -1\\ 0& -1 & 0\\ -1 &0 & 0 \end{bmatrix}$The only correct statement about the matrix A is(a) A is a ZERO matrix(b) A2=I(c) A-1 does not ex...
0 votes
1 answer
158
ISRO 2015- Conic sections [Mech]
Circular shapes appear in this fashion when viewed at an angle other than 90 degrees (a) Circular (b) Elliptical (c) Lengthened (d) Angular
Circular shapes appear in this fashion when viewed at an angle other than 90 degrees(a) Circular (b) Elliptical (c) Lengthened (d) Angular
1 votes
1 answer
159
ISRO 2015- probability [Mech]
The probability that a teacher will give an unannounced test during any class is 1/5. If a student is absent twice, then probability that misses at least one test is (a) 24/25 (b) 16/25 (c) 7/25 (d) 9/25
The probability that a teacher will give an unannounced test during any class is 1/5. If a student is absent twice, then probability that misses at least one test is(a) 2...
0 votes
1 answer
160
ISRO 2015- matrices [Mech]
For which value of x, will the matrix $\begin{bmatrix} 8 &x &0 \\ 4 & 0& 2\\ 12 & 6 & 0 \end{bmatrix}$ become singular ? 12 6 0 (a) 4 (b) 6 (c) 8 (d) 12
For which value of x, will the matrix $\begin{bmatrix} 8 &x &0 \\ 4 & 0& 2\\ 12 & 6 & 0 \end{bmatrix}$ become singular ? 12 6 0(a) 4 (b) 6 (c) 8 (d) 12
1 votes
3 answers
161
ISRO 2015- Eigen Values [mech]
$\begin{bmatrix} 4 & 1 \\ 1& 4 \end{bmatrix}$ Eigen values of the matrix are: a) 3,-3 b) -3, -5 c) 3, 5 d) 5 ,0
$\begin{bmatrix} 4 & 1 \\ 1& 4 \end{bmatrix}$Eigen values of the matrix are:a) 3,-3b) -3, -5c) 3, 5d) 5 ,0
1 votes
1 answer
162
ISRO 2016- matrices [Mech]
What is the value of a) 2 $a^2$ $b^2$ $c^2$ b) 4 $a^2$ $b^2$ $c^2$ c) 8 $a^2$ $b^2$ $c^2$ d) 0
What is the value ofa) 2 $a^2$ $b^2$ $c^2$b) 4 $a^2$ $b^2$ $c^2$c) 8 $a^2$ $b^2$ $c^2$d) 0
1 votes
1 answer
163
ISRO 2016 Probability [Mech]
A and B are two candidates appearing for an interview by a company. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. The probability of B getting selected is (a) 0.9 (b) 0.3 (c) 0.6 (d) 0.5
A and B are two candidates appearing for an interview by a company. The probability that A is selected is 0.5 and the probability that both A and B are selected is at mos...
1 votes
2 answers
164
ISRO 2016 Number of trials [Mech]
There are 20 locks and 20 matching keys. Maximum number of trials required to match all the locks is (a) 190 (b) 210 (c) 400 (d) 40
There are 20 locks and 20 matching keys. Maximum number of trials required to match all the locks is(a) 190(b) 210(c) 400(d) 40
0 votes
1 answer
165
ISRO 2016 Coordinate geometry [Mech]
Equation of the line normal to function f(x)= $(x - 8) ^{2/3}$ +1 at P(0, 5) is (a) y = 3x -5 (b) 3y = x - 15 (c) 3y = x+15 (d) y=3x+5
Equation of the line normal to function f(x)= $(x - 8) ^{2/3}$ +1 at P(0, 5) is(a) y = 3x -5(b) 3y = x - 15(c) 3y = x+15(d) y=3x+5
1 votes
1 answer
166
ISRO 2016- Vectors [Mech]
The sine of the angle between the two vectors a = 3i + j + k and b = 2i -2j + k is (a) √ (74/99) (b) √ (25/99) (c) √ (37/99) (d) √ (5/99)
The sine of the angle between the two vectors a = 3i + j + k and b = 2i -2j + k is(a)√ (74/99)(b)√ (25/99)(c) √ (37/99)(d) √ (5/99)
0 votes
1 answer
167
ISRO 2012- Probability [Mech]
The probability that A happens is 1/3. the odds against happening A are: a) 2:1 b) 3:2 c) 1:2 d) 2:3
The probability that A happens is 1/3. the odds against happening A are:a) 2:1b) 3:2c) 1:2d) 2:3
0 votes
1 answer
168
ISRO 2012 - [Mech]
In a class of 45 students, the mean mark of 25 girls is 32 and the mean mark of 20 boys is 27.5. What is the class mean? (a) 32 (b) 27.5 (c) 29.75 (d) 30
In a class of 45 students, the mean mark of 25 girls is 32 and the mean mark of 20 boys is 27.5. What is the class mean?(a) 32(b) 27.5(c) 29.75(d) 30
1 votes
1 answer
169
ISRO 2012: [Mech] Complex Numbers
1+ i Is equivalent to (a) √ 2 $e ^{- i π /4 }$ (b) √ 2 $e^ {i π /4}$ (c) 2 $e^ {- i π /4}$ (d) 2 $e^ {i π /4}$
1+ i Is equivalent to(a) √ 2 $e ^{- i π /4 }$(b) √ 2 $e^ {i π /4}$(c) 2 $e^ {- i π /4}$(d) 2 $e^ {i π /4}$
0 votes
1 answer
170
ISRO 2012- [Mech] Calculus
The approximate value of y(0.1) from dy/dx = $x^2$y-1, y(0) =1 is (a) 0.900 (b) 1.001 (c) 0.802 (d) 0.994
The approximate value of y(0.1) from dy/dx = $x^2$y-1, y(0) =1 is(a) 0.900(b) 1.001(c) 0.802(d) 0.994
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