Time Left - 20:00 mins

# GATE GNST|| Aptitude & Maths Quiz 2

Attempt now to get your rank among 514 students!

Question 1

The matrix satisfies which of the following equation__________?

Question 2

Find the total Number of Prime Factors of 217 × 631 × 75 × 1011 × 1110 × 2112

Question 3

Consider the following statements:

1) The rank of a matrix is the order of largest non-vanishing minor of A.

2) For any two matrices A & B, ρ(AB) ≥ min {ρ(A), ρ(B)}.

3) For any two matrices A and B, ρ(A+B) ≤ ρ(A)+ρ(B).

Which of the following statements is/are correct?

Question 4

John has 30% more money than that of Johnson. Johnny has 60% more money than that of Johnson. How much % more money Johnny has than John?

Question 5

If x = rcosθ , y = rsin θ then is

Question 6

A sum of money lent at compound interest amounts to Rs. 1460 in 2 years and to Rs. 1606 in 3 years. The rate of interest per annum is

Question 7

The following system of homogeneous equations
2x + y + 2z = 0
x + y + 3z = 0
4x + 3y + bz = 0
has non-trivial solution, then the value of ‘b’ is __.

Question 8

In Taylor series expansion of f(x) = ex + cos x about x = π the coefficient of (x – π)2 is

Question 9

If x increases at the rate of at the instant when x = 3 cm and y = 1 cm at what rate must y be changing in order that the function 2xy – 3x2y shall be neither increasing nor decreasing.

Question 10

Consider matrix , then determinant of Adj (Adj A) is _________.
• 514 attempts Member since Nov 2019 GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 help@byjusexamprep.com