List of practice Questions

If A and B are 2×2 matrices, which of the following is true?
The digits A,B,C are such that the three-digit numbers A88, 6B8, 86C are divisible by 72. Then the determinant vmatrix A & 6 & 8
8 & B & 6
8 & 8 & C vmatrix is divisible by
If M(α)= bmatrix α & -α & 0
α & α & 0
0 & 0 & 1 bmatrix, M(β)= bmatrix β & 0 & β
0 & 1 & 0
-β & 0 & β bmatrix then [M(α)M(β)]^-1 is equal to
If y=e⁻ˣ x and y+k y'=0, where y₄=d⁴ydx⁴, then k=
The set of points of discontinuity of the function f(x)=(1)/(|x||x|) is
Evaluate: x⁻¹xdx
Evaluate ₀¹ dx√(2-x²)
If ₀ⁿ [x]dx = 66, then n=
Area of the triangle formed by the line x+y=3 and angle bisectors of the pair of straight lines x²-y²+2y=1 is
The random variable X has the following probability distribution |c|c|c|c|c|c| x & 0 & 1 & 2 & 3 & 4
P(X=x) & k & 3k & 5k & 2k & k
Then the value of P(X\ge2) is
Solution of differential equation (dy)/(dx)+(y)/(x)= x
A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60^. When he retreats 20 feet from the bank, he finds the angle to be 30^. The breadth of the river in feet is:
Two tangents PQ and PR drawn to the circle x²+y²-2x-4y-20=0 from point P(16,7). If the centre of the circle is C, the area of quadrilateral PQCR is
The value of ₓₒ₀((4ˣ-1)³)/(x²(1+3x)) is
Spelling test – find correct spelling:
REPRIMAND
Eight scientists have _ _ _ _ _ _ _ _ _ the national awards for outstanding contribution and dedication to the profession.
Freedom, is the restricted kind in the sense (P), the rich and poor woman (Q), that a wide gulf separates (R), which a modern woman enjoys (S).
In life, some rules are (P), as in business (Q), they seem almost instinctive (R), learnt so early that (S).
Kapil, left in an aeroplane (P), after reading a sailing magazine (Q), had decided (R), to build his own boat nine years earlier (S).
Distance : Odometer :: ? : Barometer
One of the numbers does not fit into the series. Find the wrong number. 13,16,38,124,504,2535
Statement: In order to reduce the gap between income and expenditure, the company has decided to increase the price of its product from next month. Assumptions: I. The rate will remain more or less same after the increase. II. The expenditure will more or less remain the same in near future. III. The rival companies will also increase the price of the similar product.
FLMO : ?? :: BFEN : ARSO
If A denotes '+', B denotes '-', C denotes '×'. Then what is the value of 10 C 4 A (4 C 4) B 6?