mock paper MC

Vehicle hiring company has 4 lorries, 4 vans and 10 drivers. 3 of the drivers can drive vans only and the others can drive
both types of vehicle. An order requiring 2lorries and 1 van (all with drivers) is received. Find the number of ways of
assigning vehicles and drivers for the order.
A. 4P2 4P1 x (10P3 - 3P1 x 3P2)
B. 4P2 4P1 x (10P3 x 3P1 x 3!)
C. 4C2 4C1 x (7P2 - 3P1 x 3!)
D. 4C2 4C1 x (7P2 x 3P1 + 7P3)
(Answer is D)

If p + qi = (4-2i)/(1+i)(q + i), where p and q are real constants, find the values of p and q.
A. p=4,q=-2
B. p = 1/4 ,q = 13/4
C. p = 1/2 ,q = - 1/2
D. Both are not real number
(Answer is B)

The figure shows the graphs of y = log xa , y = log xb , y = log xc , y = log x on the same rectangular coordinate system,
where a, b and c are constants. Which of the following must be true?
https://www.flickr.com/photos/130230543@N06/15562078343/
A. a < b < 1 < c
B. a < 1< b < c
C. c <a< 1 < b
D. c< b < 1 <a
(Answer is D)

Show log2c, 2log2c, 4log2c is an arithmic sequence

Peter orders either rice or noodles for his lunch every day. The probability that Peter eats in restaurant A is 1/2 and the
probability that he eats in restaurant B is 3/5. The probability that Peter orders rice in restaurant A is 1/2 and the probability
that he orders rice in restaurant B is 2/3. Given that Peter orders rice today, find the probability that he eats in restaurant A.
A. 1/5
B. 1/3
C. 2/5
D. 1/2
(Answer is B)

In the figure, O is the origin and the centre of the circle. The coordinates of A are (6, -8). AOB is a diameter of the circle. If
C is a point in the first quadrant and lies on the circle such that the area of D.ABC is the greatest, then the coordinates of
C are
https://www.flickr.com/photos/130230543@N06/15994440418/
A. (1, 3√11).
B. (2, 4√6).
C. (6, 8).
D. (8, 6).
(Answer is B)