WorksheetsPlacement Mock Test - 1
Total questions: 60
Worksheet time: 30mins
Name
Class
Date
1.
The ratio of Cp and Cv depends on temperature T according to realtion
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
2.
A power plant operates with a heat- source reservoir at 37 degree centigrade and a heat-sink temperature at 2 degree centigrade. It has a thermal efficiency equal to 50% of the Carnot engine thermal efficiency for the same temperatures. The thermal efficiency of the power plant is
a)
0.269
b)
0.50
c)
0.464
d)
0.231
3.
Which of the following conditions is not satisfied by an ideal solution ?
a)
Option 1
b)
Option 2
c)
Option 3
d)
An Ideal solution can azeotropic mixture
4.
The activity coefficient of component i in the solution is defined by
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
5.
For Pure Substance Cp-Cv is equal to
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
6.
The Maxwell relation derived from the differential expression for Gibbs free energy (dG) is
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
7.
Which of the following conditions are satisfied at the critical point by a gas obeying van der Waals equation of state ?
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
8.
Match the items mentioned in the left column with appropriate item in the right column
1 . dH a . TdS - PdV
2 . dG b. TdS + VdP
C . -PdV - SdT
d . VdP - SdT
a)
1-b,2-d
b)
1-c,2-d
c)
1-c,2-b
d)
1-a,2-c
9.
Match the items mentioned in the left column with appropriate item in the right column
1 . Enthalpy(H) a. H-TS
2 . Helmholtz free energy(A) b. U+PV
3 .Gibbs free energy(G) c. U-TS
a)
1-b,2-c,3-a
b)
1-a,2-b,3-c
c)
1-b,2-a,3-c
d)
1-c,2-a,3-b
10.
1. Match the processes in the left-hand column with their characteristics in the right-hand column.
1 . isothermal process a. no heat transfer
2 . isobaric process b. constant volume
3 . isochoric process c. constant pressure
4. Adiabatic process d. constant temperature
a)
1-d,2-b,3-a,4-c
b)
1-d,2-c,3-b,4-a
c)
1-d,2-a,3-c,4-b
d)
1-b,2-c,3-d,4-a
11.
There are six persons A, B, C, D, E and F. C is the sister of F. B is the brother of E’s husband. D is father of A and grandfather of F. There are two fathers, three brothers and a mother in the group. Which of the following is a group of brothers ?
a)
ABF
b)
ABD
c)
BFC
d)
BDF
12.
Find the solution of
a)
21
b)
10
c)
7
d)
4
13.
a)
T
b)
1/T
c)
P
d)
1/P
14.
A rigid vessel containing containing three moles of notogen at 30 degrees is heated to 250 degrees. Calculate the heat required, assuming heat capacity Cp=29.1J/mol and negelct the heat capacity of vessel
a)
13728 J
b)
19206 J
c)
4576 J
d)
12712 J
15.
For any adiabatic process
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
16.
Select the correct statement
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
17.
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?
a)
4
b)
10
c)
15
d)
16
18.
If the sum of two numbers is 55 and the HCF and LCM of these numbers are 5 and 120 respectively, then the reciprocals of the numbers is equal to:
a)
45/123
b)
907/34
c)
11/120
d)
56/117
19.
H.C.F. of two numbers is 13. If these two numbers are in the ratio of 15: 11, then find the numbers.
a)
230, 140
b)
215,130
c)
195,143
d)
155,115
20.
The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
a)
1008
b)
1015
c)
1022
d)
1032
21.
Find the least number, which when divided by 12, 15, 20 and 54 leaves a remainder of 8 in each case.
a)
548
b)
540
c)
532
d)
524
22.
Find the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder.
a)
1926
b)
2523
c)
1683
d)
1536
23.
John, Smith and Kate start at same time, same point and in same direction to run around a circular ground. John completes a round in 250 seconds, Smith in 300 seconds and Kate in 150 seconds. Find after what time will they meet again at the starting point?
a)
30 min
b)
25 min
c)
20 min
d)
15 min
24.
If 6 + 12 + 18 + 24 + --- = 1800, then find the number of terms in the series.
a)
21
b)
22
c)
23
d)
24
25.
Find which of the following number is divisible by 11?
a)
246542
b)
415624
c)
146532
d)
426513
26.
The H.C.F of 9/10, 12/25, 18/35 and 21/40 is
a)
3/5
b)
252/5
c)
3/1400
d)
63/700
27.
The unit digit in the product (784 x 618 x 917 x 463) is:
a)
2
b)
3
c)
4
d)
5
28.
On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will the remainder ?
a)
0
b)
1
c)
2
d)
3
29.
5 times a positive number is less than its square by 24. What is the integer?
a)
5
b)
8
c)
7.5
d)
9
30.
35 + 15 x 1.5 = ?
a)
85
b)
51.5
c)
5.25
d)
57.5
e)
none of these
31.
Which one of the following is not a prime number?
a)
31
b)
61
c)
71
d)
91
32.
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
a)
240
b)
270
c)
295
d)
360
33.
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:
a)
3/5
b)
3/10
c)
4/5
d)
4/3
34.
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
a)
4236
b)
4306
c)
4336
d)
5336
e)
None of these
35.
(51 + 52 + 53 + ... + 100) = ?
a)
2525
b)
2975
c)
3225
d)
3775
36.
(xn - an) is completely divisible by (x - a), when
a)
n is any natural number
b)
n is an even natural number
c)
n is and odd natural number
d)
n is prime
37.
The G.C.D OF 1.08, 0.36 and 0.9 is
a)
0.03
b)
0.9
c)
0.18
d)
0.108
38.
Pointing to a gentleman, Deepak said, “his only brother is the father of my daughter’s father”. How is the gentleman related to Deepak?
a)
Grandfather
b)
Father
c)
Brother-in-law
d)
Uncle
e)
Non of these
39.
A man said to a lady, “Younger mother’s husband’s sister is my aunt.” How is the lady related to the man?
a)
Daughter
b)
Grand daughter
c)
Aunt
d)
Sister
40.
If X is the brother of the son of Y’s son, how is X related to Y?
a)
Son
b)
Brother
c)
Cousin
d)
Grandson
e)
Uncle
41.
A is B’s sister. C is B’s Mother. D is C’s father. E is D’s mother. Then, how is A related to D?
a)
Grandmother
b)
B.Grandfather
c)
Daughter
d)
Grand daughter
e)
Non of these
42.
If ‘P $ Q’ means ‘P is father of Q’ ; ‘P # Q means ‘P is mother of Q’ ; ‘P * Q’ means ‘P is sister of Q’ , then is D related to N in N # A $ B * D ?
a)
Nephew
b)
Grandson
c)
Grand daughter
d)
Data inadequate
e)
None of these
43.
The absolute entropy is zero for all perfect crystalline substance at absolute zero temperature. This statement is known as
a)
The zeroth law of thermodynamics
b)
The first law of thermodynamics
c)
The second law of thermodynamics
d)
The third law of thermodynamics
44.
For incompressible fluids both the volume expansivity and the isothermal compressibilty are
a)
0
b)
1
c)
-1
d)
infinity
45.
The second law of thermodynamics states that
a)
The energy change of a system undergoing any reversible process is zero
b)
It is not possible to transfer heat from a lower temperature to a high er temperature
c)
C.The total energy of the system and surroundings remain constant
d)
None of the above
46.
It is desired to bring about a certain change in the state of a system by performing work on the system under adiabatic conditions.
a)
The amount of work needed is path dependent
b)
Work alone cannot bring about such a change of state
c)
The amount of work needed is independent of path
d)
None of the above
47.
The change in Gibbs free energy for vaporization of a pure substance is
a)
Positive
b)
B.Negative
c)
Zero
d)
May be positive or negative
48.
The no. Of degrees of freedom for an azeotropic mixture of ethanol and water in vapour-liquid equilibrium.
a)
3
b)
1
c)
2
d)
0
49.
The efficiency of carnot cycle is 1/6 . By lowering the temperature of cold reservoir by 65 K, it increases to 1/3. The initial and final temperatures of the cold reservoir are
a)
325 K, 260k
b)
345 k, 280 k
c)
C.365 k, 300 k
d)
340 k, 275 k
50.
The generalized compresssibility chart gives the value of compressibility factor Z as a function of
a)
P and T
b)
P/Pc and T/Tc
c)
V and T
d)
P/Pc only
51.
A gas performs minimum work when it expands
a)
Adiabatically
b)
Isothermally
c)
Isobarically
d)
Isochorically
52.
Raoult’s law is based on the assumption of
a)
Ideal solution behaviour for the liquid phase
b)
Ideal solution behaviour for the vapour phase
c)
Ideal solution behaviour for the liquid and vapour phases
d)
Ideal gas behaviour for the vapour phase.
53.
The fugacity of species i in an ideal gas mixture is equal to
a)
Its partial molar volume
b)
Its partial pressure
c)
Total pressure
d)
Its partial molar Gibbs energy
54.
Lewis-Randall rule is
a)
Applicable for a species whose mole fraction approaches unity
b)
Applicable for a species whose mole fraction approaches zero
c)
Applicable in standard states for gases, liquids and solids
d)
Used to calculate the activity coefficient of species
55.
Which of the following is a negative quantity for an ideal solution ?
a)
Volume change of mixing
b)
Enthalpy change of mixing
c)
Gibbs energy change of mixing
d)
Entropy change of mixing
56.
The equilibrium constant K, for a chemical reaction depends on
a)
Temperature only
b)
Pressure only
c)
Temperature and Pressure
d)
Ratio of reactants
57.
For an endothermic reaction, the equilibrium constant
a)
Is independent of temperature
b)
Decreases with increase in temperature
c)
Increases with increase in temperature
d)
Decreases exponentially with increase in temperature
58.
Internal energy of a real gas is
a)
a function of temperature only
b)
a function of pressure only
c)
a function of temperature as well as pressure
d)
Independent of temperature as well as pressure
59.
Find the largest number of 4-digits divisible by 12, 15 and 18.
a)
9900
b)
9750
c)
9450
d)
9000
60.
Which of the following has the most number of divisors?
a)
99
b)
101
c)
176
d)
182
100 %
