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ESE 2021 Non-Technical Quiz 15
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Question 1
If A, B and C are three square matrices of the same size such that B = CAC-1, then CA3C–1 is equal to
Question 2
Let A and B be two symmetric matrices of order 3.
Statement-1: A(BA) and (AB)A are symmetric matrices.
Statement-2: AB is symmetric matrix if matrix multiplication of A and B is commutative.
Statement-1: A(BA) and (AB)A are symmetric matrices.
Statement-2: AB is symmetric matrix if matrix multiplication of A and B is commutative.
Question 3
A horse runs along a circle with a speed of 20 km/hr. A lantern is at the centre of the circle. A fence is along the tangent to the circle at the point at which the horse starts. The speed with which the shadow of the horse move along the fence at the moment when it covers 1/8 of the circle in km/hr is.
Question 4
Area bounded by curve y = xe|x| and lines | x | = 1, y = 0 will be-
Question 5
Let f (x) =
Then value of point where f (x) attains its minimum is -
![](https://gradeup-question-images.grdp.co/liveData/PROJ2145/1483615446938680.png)
Then value of point where f (x) attains its minimum is -
Question 6
If 7% of the sale price of an article is equivalent to 8% of its cost price and 9% of its sale price exceeds 10% of the cost price by ` 1, then what is the cost price of the article?
Question 7
A damaged chair that cost Rs.110 was sold at a loss of 20%. Find the selling price.
Question 8
The true discount on ₹1,860 due after a certain time at 5% is ₹60. Find the time after which it is due
Question 9
A shopkeeper earns a profit of 15% on selling a book at 20% discount on printed price. The ratio of the cost price to printed price of the book is
Question 10
A shop-keeper sold a sewing machine for ₹1,080 at a loss of 10%. At what price should he have sold it so as to gain 10% on it? (in ₹)
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ESE & GATE EEGeneralMay 10ESE & GATE EE