ACC Model questions

ACC Model questions




1.    In a class composed of x girls and y boys what part of the class is composed of girls

A .y/(x + y)

B. x/xy

C. x/(x + y)

D .y/xy

Ans. C


2What is the maximum number of half-pint bottles of cream that can be filled with a 4-gallon can of cream (2 pt.=1 qt. and 4 qt.=1 gal)





Ans. D


3.If the operation, ^ is defined by the equation x ^ y = 2x + y, what is the value of                        in 2 ^ a = a ^ 3





Ans. B


4.    A coffee shop blends 2 kinds of coffee, putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm. If the mixture is changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade, how much will the shop save in blending 100 gms.








5.    There are 200 questions on a 3 hr examination. Among these questions are 50 mathematics problems. It is suggested that twice as much time be spent on each Maths problem as for each other question. How many minutes should be spent on mathematics problems







6.    In a group of 15, 7 have studied Latin, 8 have studied Greek, and 3 have not studied either. How many of these studied both Latin and Greek







7.    If 13 = 13w/(1-w) ,then (2w)2 =







8.     If a and b are positive integers and (a-b)/3.5 = 4/7, then

(A) b < a

(B) b > a

(C) b = a

(D) b >= a

Ans. A


9.    In June a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?

A. 12

B. 20

C. 24

D. 30

Ans. C


10.   M men agree to purchase a gift for Rs. D. If three men drop out how much more will each have to contribute towards the purchase of the gift/

A. D/(M-3)

B. MD/3

C. M/(D-3)

D. 3D/(M2-3M)

Ans. D


11.  A company contracts to paint 3 houses. Mr. Brown can paint a house in 6 days while Mr. Black would take 8 days and Mr. Blue 12 days. After 8 days Mr. Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr. Blue to complete the contract?

A. 7

B. 8

C. 11

D. 12

Ans. C


12.  2 hours after a freight train leaves Delhi a passenger train leaves the same station traveling in the same direction at an average speed of 16 km/hr. After traveling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was?

A. 30

B. 40


D. 60

Ans. B


13.   If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?


B. 4

C. 2

D. 8

Ans. D


14.  Find the cost of:

Rs. 7200, 8% stock at 90;

Rs. 4500, 8.5% stock at 4 premium;

Rs. 6400, 10% stock at 15 discount.

a)6480,4680,5440                                                       c)5645,2565,5623

b)5440,6480,5669                                                       d)5623,4562,8965

ans: a

15.   How many words can be formed from the letters of the word ‘DIRECTOR’

So that the vowels are always together?

a)2160                                                                         c)2156

b)2156                                                                         d)4556

ans: a

16.  To be minute hand of a clock overtakes the hour hand at intervals of 65 minutes of the correct time. How much a day does the clock gain or lose?

a) The clock lose 445/43  minutes in 24 hours

b) The clock gains 440/43  minutes in 24 hours

c) The clock lose 440/43  minutes in 24 hours

d) The clock gains 445/43  minutes in 24 hours

ans: b

17.   In a 100 m race, A runs at 8km  per hour. If A gives B a start of 4 m and still him by 15 seconds, what is the speed of B ?

a)5.79km/hr                                                                 c)5.54 km/hr

b)5.76km/hr                                                                 d)5.56 km/hr

ans: b

18.    The surface area of a cube is 1734 sq. cm.  Find its volume.

a)4913 cm3.                                                                c)5623 cm3.

b)4562 cm3.                                                                d)4565 cm3.

ans: a

19.   If x : y = 3 : 4, find (4x + 5y) : (5x – 2y).

a)32/5  d)32/7

b)32/23            c)32/13

ans: d

20.   A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq. metre.

a) Rs 562                                                                     c) Rs 546

b) Rs 654                                                                     d) Rs 680

ans: d

21.   if  log√8  x=3 (1/3), find the value of x.

a)23                                                                             c)63

b)36                                                                             d)32

ans: d

22.   Adam borrowed some money at the rate of 6% p.a. for the first two years, at  the rate of 9% p.a. for the next three years , and at the rate of 14% p.a. for the period beyond five years. 1£ he pays a total interest of Rs. 11, 400 at the end of nine years how much money did he borrow?

a)13000                                                                       c)12000

b)14000                                                                       d)15000

ans: c

23.  How many kgs. of wheat costing Rs. 8 per kg must be mixed with 86 kg of rice costing Rs. 6.40 per kg so that 20% gain may be obtained by Belling the mixture at Rs. 7.20 per kg ?

a)10.8  kg                                            `                       c)10.75 kg

b)10.23 kg                                                                   d)10.56 kg

ans: a

24. A man can row 40km upstream and 55km downstream in 13 hours also, he can row 30km upstream and 44km downstream in 10 hours.find the speed of the man in still water and the speed of the current.

a)4 kmph                                                                       c)5 kmph

b)9kmph                                                                        d)3 kmph

25.  A sum of money amounts to rs.6690 after 3 years and to rs.10,035 after 6 years on compound interest.find the sum.

a)4456                                                                          c)4567

b)4467                                                                          d)4460

ans: d

26. What is the least number which when divided by 16,24,20,32 leaves a reminder of 10

a) 940             b) 450             c) 470             d) 490             e) None of the above

27. Find a number lying between 5000 and 6000 leaving a reminder of 15 when

divided by 24,32,36 and 40

a) 5010            b) 5555 1         c) 5775            d) 5550           e) None of the above

28. Ascending order of the Fractions 5/6, 7/8, 9/16 and 11/24 is

a) 11/24, 9/16, 5/6, 7/8            b) 5/6, 7/8, 9/16, 11/24            c) 7/8, 5/6, 9/16, 11/24

d) 11/24, 7/8, 5/6, 9/16            e) None of the above

29. A person deposits 1/16 of his income as Provident Fund and 1/15 of the remaining as insurance premium. If he spends 5/7 of the balance on domestic needs and deposits an amount of Rs.50 in the bank, his total income would be

a) 150              b) 200             c) 250              d) 300              e) None of the above

30. A traveler makes 3/4 of his journey by train and 2/3 of the rest by car. If he walks the remaining 12 Km, the total distance traveled by him is

a) 124 Km       b) 134 Km      c) 144 Km       d) 244 Km       e) None of the above



1. In air conditioning, the comfort level increases with…..

a) Decrease in humidity

b) Decrease in temperature

c) Decrease in dust content

d) All of the above


2. Dry bulb temperature & wet bulb temperature are same when

a) Humidity is 0%

b) Humidity is 50%

c) Humidity is 100%

d) None of the above


3. Carburetor is used in

a) Modern diesel engine

b) Petrol Engine

c) Cole Engine

d) None of the above


4. Column with following cross section is having maximum resistance against buckling failure (considering cross sectional area are same for all)

a) Circular

b) Square

c) Rectangle

d) None  of the above


5. In a pipeline water is flowing & if we suddenly reduce the diameter, the velocity will increase & pressure will….?

a) No relation with cross sectional area

b) Remain same

c) increase

d) decrease


6. In a lathe machine, lead screw is used for

a) cutting gear

b) turning of shaft

c) cut the key slot

d) cut the thread


7. Unit of vibration is……?

a) Volt

b) Hertz

c) Gallon

d) None of  the above


8.  In a concrete cantilever beam, the reinforcement should be…… to take the tension

a) in the neutral axis

b) bottom layer

c) top layer

d) None of these


9.  Point of contraflexure means

a) where shear force is zero & bending moment is max

b) where bending moment is zero & shear force is max

c) where shear force & bending moment both are max

d) None of the above


10.  Frictional force will increase with increase in

a) Size of the bodies

b) Contact area between two bodies

c) Co efficient of friction

d) None of the above


11.  In two stroke diesel engine……

a) inlet valves are used

b) inlet ports are used

c) None of the above



12. Relation between BHP (Brake Horse Power), IHP & FHP (Frictional HP) is

a) BHP = IHP + FHP

b) IHP = BHP + FHP

c) FHP = IHP + BHP

d) None of the above


13.  One inch is equal to how much mm?

a) 25.4

b) 254

c) 2.54

d) None of  these


14.  One kW is equal to  …. H.P?

a) 122

b) 1.47

c) 1.37

d) None of these


15.  If drive pulley with 2″ diameter rotates at 1440 rpm, then driven pulley with 4″ diameter will rotate at …. rpm?

a) 1440

b) 2880

c) 144

d) 720


16.  If H.P. of a motor is fixed, the relation between torque & rpm will be:

a) Torque will never change with change in rpm

b) Torque will change proportional to rpm

c) Torque will change universally proportional to rpm

d) None of the above


17.  If one cubic meter of cement equal to 1440 kg, then density of cement will be

a) 1.440

b) 14.40

c) 144.0

d) 1440


18.A “scale” is constructed with a 4-ft-long cord and the 10-lb block D. The cord is fixed to a pin at A and passes over two small pulleys at B and C. Determine the weight of the suspended block E if the system is in equilibrium when s = 1.5 ft.


A.        W = 8.01 lb

B.        W = 14.91 lb

C.        W = 17.63 lb

D.        W = 18.33 lb


19.Compute the horizontal and vertical components of force at pin B. The belt is subjected to a tension of T=100 N and passes over each of the three pulleys.


A.        Bx = 0 N, By = 141.4 N

B.        Bx = -15.89 N, By = 120.7 N

C.        Bx = 20.7 N, By = 157.3 N

D.        Bx = 0, By = 100.0 N



20.Determine the distance  to the centroidal axis   of the beam’s cross-sectional area.

A.        = 112.3 mm

B.        = 125.0 mm

C.        = 100.0 mm

D.        = 91.7 mm



21.Locate the centroid of the exparabolic segment of area.


A.        = -4a/5, = -b/4

B.        = -3a/4, = -3b/10

C.        = -2a/3, = -b/3

D.        = -5a/7, = -3b/8


22.A car is traveling along the circular curve of radius r = 300 ft. At the instant shown, its angular rate of rotation is  = 0.4 rad / s, which is increasing at the rate of  = 0.2 rad / s2. Determine the magnitude of the acceleration of the car at this instant.

A.        a = 108.0 ft/s2

B.        a = 60.0 ft/s2

C.        a = 48.0 ft/s2

D.        a = 76.8 ft/s2


23.If  = 20° and  = 35°, determine the magnitudes of F1 and F2 so that the resultant force has a magnitude of 20 lb and is directed along the positive x axis.

A.        F1 = 20.0 lb, F2 = 22.9 lb

B.        F1 = 25.6 lb, F2 = 26.6 lb

C.        F1 = 28.5 lb, F2 = 11.91 lb

D.        F1 = 14.00 lb, F2 = 8.35 lb


24.Determine the moment of the force at A about point P. Use a vector analysis and express the result in Cartesian vector form.

A.        MP = (-6i+6j-4k) N-m

B.        MP = (24i+8j+9k) N-m

C.        MP = (-6i-6j-4k) N-m

D.        MP = (24i-8j +9k) N-m


25.Determine the force in members FF, FB, and BC of the Fink truss and indicate whether the members are in tension or compression.


A.        BF = 693 lb T, FG = 1800 lb C, BC = 1212 lb T

B.        BF = 8660 lb C, FG = 3600 lb C, BC = 1212 lb T

C.        BF = 3810 lb T, FG = 3600 lb C, BC = 1212 lb T

D.        BF = 1732 lb T, FG = 2400 lb C, BC = 1212 lb



26.Determine the minimum force F needed to push the two 75-kg cylinders up the incline. The force acts parallel to the plane and the coefficients of friction at the contacting surfaces are  A = 0.3,  B = 0.25,  C = 0.4. Each cylinder has a radius of 150 mm.


A.        F = 919 N

B.        F = 735 N

C.        F = 1.051 kN

D.        F = 981 N


27.Determine the radius of gyration ky of the parabolic area


A.        ky = 76.5 mm

B.        ky = 17.89 mm

C.        ky = 78.6 mm

D.        ky = 28.3 mm


28.f the 3-lb solid sphere is released from rest when  = 30°, determine its angular velocity when  = 0°, which is the lowest point of the curved path having a radius of 11.5 in. The sphere does not slip as it rolls.

A.        ω= 15.17 rad/s

B.        ω = 18.13 rad/s

C.        ω = 21.5 rad/s

D.        ω = 17.15 rad/s


29.The sphere starts from rest at  = 0 and rotates with an angular acceleration of  = (4 ) rad/s2, where  is measured in radians. Determine the magnitudes of the velocity and acceleration of point P on the sphere at the instant  = 6 rad.


A.        vP = 96.0 in./s, aP = 1168 in./s2

B.        vP = 135.8 in./s, aP = 2310 in./ s2

C.        vP = 83.1 in./s, aP = 1011 in./ s2

D.        vP = 117.6 in./s, aP = 2000 in./ s2


30.A smooth can C, having a mass of 2 kg, is lifted from a feed at A to a ramp at B by a forked rotating rod. If the rod maintains a constant angular motion of  = 0.5 rad/s, determine the force which the rod exerts on the can at the instant  = 30°. Neglect the effects of friction in the calculation. The ramp from A to B is circular, having a radius of 700 min.

A.        F = 19.62 N

B.        F = 11.33 N

C.        F = 10.63 N

D.        F = 12.03 N

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