Class 7 - Mathematics Mock Tests

If two of the numbers a, b, c are equal, the value of the determinant |1 a a²| |1 b b²| |1 c c²| is:

The position vector of the point dividing the line joining position vectors 2î − 3ĵ + k̂ and 4î + ĵ − 5k̂ in the ratio 2 : 1 internally is:

If y = e^(x^x), then dy/dx at x = 1 equals

In a rectangle, the diagonals are:

If A and B are two events such that P(A) = 1/2, P(B) = 1/3, and P(A ∩ B) = 1/6, then P(A|B) is:

The average of the first 10 even numbers is:

If tan 45° = 1, then the value of (2tan 30°) / (1 + tan²30°) is:

The number of ways to choose 3 numbers from {1, 2, 3, ..., 10} such that no two are consecutive is: