Gate 2021 : Toppers Weekly Quiz 7 (App update required to attempt this test)
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The order and degree of following differential equation is:
The ratio of two numbers is 3: 4 and their H.C.F. is 4. Their L.C.M. is:
The values of function 𝑓(x) at 5 discrete poets are given below:
using Trapezoial rule with step size or 0.1, the value or is_______
A certain sum at simple interest amounts to Rs. 1586 in 2 yr and Rs. 1729 in 3 yr. Find the rate
If (a+b) : (b+c) : (c+a) = 5 : 6 : 9 and a+b+c = 10; what is the value of: (a2 + b2 + c2)
A boatman can row a certain distance downstream in 7 hrs and return the same distance in 21 hrs. If the stream flows at the rate of the 9 km/h find the speed of boat in still water.
Consider matrix , then determinant of Adj (Adj A) is _________.
The area bounded by in the third quadrant is
Two bikers start from a point with a speed of 60 km/h but second biker starts after an interval of 10 minutes. What is the speed of a man coming from the opposite direction towards that point if the man meets the bikers at an interval of 8 minutes?
A system of two linear equations in x and y: px + qy = r sx + ty = u Has a unique solution if:
Which one of the following describes the relationship among the three vectors, ?
Three pipes A, B & C can fill a tank in 6 hours. After working together for 2 hours, C is closed and A & B can fill it in 7 hours after that. Number of hours taken by C to fill the cistern alone will be how much?
Consider the system of linear equations given below:
–2x + y + z = I
x –2y + z = m
x + y – 2z = n
if I + m + n = 0, Then the system of equations has
Two toys are sold at ₹ 504 each. One toy brings the dealer a gain of 12% and the other a loss of 4%. The gain or loss percent by selling both the toys is
In a bag there are 150 notes which values are Rs. 100 and Rs. 50. If total value of all notes is Rs. 9000 then what is number of Rs. 100 notes?
A can complete a piece of work in 30 days. B is two times more efficient worker than C who is 50% more efficient than A. How many days are required to complete the work if all of them work together?
For the matrix eigen vector corresponding to eigen value−2 is ___________.
The value of integral calculated using simpson’s 1/3rd Rule, with 10 subintervals is use the table given below.
In two mixtures respective ratio of milk and water is 3:5 and 7:5 respectively. In what ratio both mixtures should be mixed to make ratio of milk and water 1:1?
By using Simpson's 1/3rd rule find by taking a width of 1