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?