ABSTRACT

Assuming the rate of work remains constant, six engineers will complete the task in:

(a) 126 h (b) 4 h 48 min (c) 3 h 20 min (d) 7 h 30 min

9. In an engineering equation 34

3r = 1

9 . The value of

r is: (a) −6 (b) 2 (c) 6 (d) −2

10. Transposing the formula R = R0(1+αt) for t gives:

(a) R − R0 (1+α) (b)

R − R0 −1 α

(c) R − R0 αR0

(d) R R0α

11. 2x2 −(x − xy)−x(2y − x) simplifies to: (a) x(3x −1− y) (b) x2 −3xy − xy (c) x(xy − y −1) (d) 3x2 − x + xy

12. The current I in an a.c. circuit is given by:

I = V√ R2 + X2

When R =4.8, X =10.5 and I =15, the value of voltage V is:

(a) 173.18 (b) 1.30 (c) 0.98 (d) 229.50

13. The height s of a mass projected vertically upwards at time t is given by: s =ut − 1

2 gt2. When

g =10, t =1.5 and s =3.75, the value of u is: (a) 10 (b) −5 (c) +5 (d) −10

14. The quantity of heat Q is given by the formula Q =mc(t2 − t1). When m =5, t1 =20, c=8 and Q =1200, the value of t2 is: (a) 10 (b) 1.5 (c) 21.5 (d) 50

15. When p =3, q =− 12 and r =−2, the engineering expression 2p2q3r4 is equal to:

(a) −36 (b) 1296 (c) 36 (d) 18

16. Electrical resistance R = ρl a

; transposing this equation for l gives:

(a) Ra ρ

(b) R aρ

(c) a Rρ

(d) ρa R

18. f f ) is equal to: (a) 2e2 −3 f 2 (b) 2e2 −5e f −3 f 2 (c) 2e2 +3 f 2 (d) 2e2 −e f −3 f 2

19. The solution of the simultaneous equations 3x −2y =13 and 2x +5y =−4 is: (a) x =−2, y =3 (b) x =1, y =−5 (c) x =3, y =−2 (d) x =−7, y =2

20. 16−3/4 is equal to:

(a) 8 (b) − 1 23

(c) 4 (d) 1 8

21. A formula for the focal length f of a convex lens is

1 f =

1 u

+ 1 v

. When f =4 and u =6, v is:

(a) −2 (b) 112 (c) 12 (d) − 12

22. If x = 57.06 × 0.0711√ 0.0635

cm, which of the following

statements is correct?