What is the smallest positive integer in the set { 12x + 30 + 3000z | x, y, z∈Z}?
Anonymous Quiz
30%
2
30%
3
19%
9
21%
6
Which of the following is a subspace of the vector space R³?
Anonymous Quiz
48%
{(x, y.z) | x + y = 0}
26%
{(x, y.z) | x + y = 1}
24%
{(x, y.z) | x - y = 1}
2%
{(x, y.z) | x - y = 2}
The equation of tangent at the point (0, 2) to the circle x² + y²-4x+2y-8=0 is:
Anonymous Quiz
18%
3y-2x=2
40%
3y + 2x = 6
14%
3y+2x=2
28%
3y-2x = 6
Differential equation of the curve y = cx+1/c is:
Anonymous Quiz
37%
(A) xy'²-yy'+1 = 0
30%
(B) xy'²-yy'+2= 0
32%
(C) xy'²+4=0
2%
(D) xy'²-4=0
The maximum number of linearly independent solutions of y'''' = 0, y(0) = 1, is
Anonymous Quiz
20%
1
32%
2
24%
3
24%
4
👍1
(HPSC PGT 2023) If all the natural number between 1 and 20 are multiplied by 4 then what is the variance of the resulting series ?
Anonymous Quiz
14%
133
51%
532
30%
1596
5%
235
Which of the following is correct?
Anonymous Quiz
37%
If f(z) is analytic function, then it satisfies Cauchy-Riemann equations
37%
If f(z) satisfies Cauchy-Riemann equations then f(z) is analytic.
22%
If f(z) is analytic in complex plane C then ux = -vy, uy = -vx
3%
If f(z) is differentiable for some points in domain D, then f(z) is analytic in domain D.
If one cubic cm of water weighs one gm and one cubic cm cube of wood weighs 0.42 gm, then what is the difference in weight of 1 cubic meter of water and 1 cubic meter of wood?
Anonymous Quiz
19%
560 kg
49%
580 kg
23%
570 kg
9%
600 kg
👍1
A tank can be filled by Tap-A in 30 minutes and by Tap-B in 45 minutes. Both the taps are kept open for 6 minutes and then Tap-B is turned off. In how many minutes more does the tank get filled?
Anonymous Quiz
35%
20 minutes
31%
16 minutes
19%
18 minutes
15%
14 minutes
👍1
Let T: R4 to IR be a linear transformation defined by T([X1, X2, X3, X4]) = x1 + x2 + X3+X4 Then one of the basis for ker(T) is
Anonymous Quiz
14%
{[1, 1, 1, 1]}
50%
{[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0]}
23%
{[1, 0, 0, 0], [0, 1, 0, 1], [0, 0, 1, 1] }
13%
{[1, 0, 0, -1], [0, 1, 0, -1], [0, 0, 1, -1]}