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Latest Bihar SLET Chemical Science Exam Question (Objective Questions), MCQ in English

Subjects : Chemical Science

Question Bank Bihar SLET Chemical Science Exam - English

Chemical Science

Question 1Single Answer

It takes 2 hours for Tiwari and Deo to do a job. Tiwari and Hari take 3 hours to do the same job. Deo and Hari take 6 hours to do the same job. Which Of the following statements is incorrect ?

A
Tiwari alone can do the job in 3 hours
B
Deo alone can do the job in 6 hours
C
Hari does not work at all
D
Hari is the fastest worker

Question 2Single Answer

Abdul travels thrice the distance Catherine travels, which is also twice the distance that Binoy travels. Catherine's speed is 1/3 of Abdul's speed, which is also 1/2 of Binoy's speed. If they start at the same time then who reaches first ?

A
Both Abdul and Catherine
B
Binoy
C
Catherine
D
All three together

Question 3Single Answer

For a certain regular solid : number of faces + number of vertices = number of edges + 2. For Three such distinct (not touching each other) objects, what is the total value of faces + vertices - edges ?

A
Two
B
Four
C
Six
D
Zero

Question 4Single Answer

A tall metal cylinder is filled end-to-end with n snugly fitting
spherical wax balls of diameter d. If the balls melt completely, the
volume fraction occupied by the melted wax is :

A
independent of both d and n
B
dependent on both d and n
C
independent of d, but dependent on n
D
dependent on d, but independent of n

Question 5Single Answer

A, B, C, D are points on a circle with AB = 5 cm, BC = 12 cm, AC = 13 cm and AD = 7 cm. Then, the closest approximation of CD is—

A
9 cm
B
10 cm
C
11 cm
D
14 cm

Question 6Single Answer

Choose the four digit number, in which the product Of the first & fourth digits is 40 and the product of the middle digits is 28. The thousands digit is as much less than the unit digit as the hundreds digit is less than the tens digit—

A
5478
B
5748
C
8745
D
8475

Question 7Single Answer

Equilateral triangles are drawn one inside the other as shown. What is the ratio of the two shaded areas ?

A
2 : 1
B
3: 4
C
4 : 1
D
8 : 1

Question 8Single Answer

A frog hops and lands exactly 1 metre away at a time. What is the least number of hops required to reach a point 10 cm away ?

A
1
B
2
C
3
D
It cannot travel such a distance

Question 9Single Answer

A train running at 36 km/h crosses a mark on the platform in 8 sec and takes 20 sec to cross the platform. What is the length of the platform ?

A
120m
B
280 m
C
40 m
D
160m

Question 10Single Answer

When a polynomial f(x) is divided by x - 5 or x - 3 or x - 2, it leaves a remainder of 1. Which of the following would be the polynomial ?

A
x³ - 10x² + 31x + 31
B
x³ - 10x² + 31x - 29
C
x³ - 10x² + 31x - 31
D
x³ - 10x² + 31x + 29

Question 11Single Answer

Water is slowly dripping out of a tiny hole at the bottom of a hollow metallic sphere initially full of water. Ignoring the water that has flowed away, the centre of mass of the system —

A
remains fixed at the centre of the sphere
B
moves down steadily as the amount of water decreases
C
moves down for sometime but eventually returns to the centre of the sphere
D
moves down until half of the water is lost and then moves up

Question 12Single Answer

The diagram (not to scale) shows the top view and cross section of a pond having a square outline and equal sized steps of 0.5 m width and 0.1 m height. What will be the volume of water (in m³) in the pond when it is completely filled ?

A
40.0
B
29.4
C
19.4
D
11.3

Question 13Single Answer

Which of the following is a carbohydrate ?

A
Nylon
B
Cane - sugar
C
Turpentine
D
Hydrogen peroxide

Question 14Single Answer

The S.I unit of temperature is :

A
Fahrenheit
B
Celsius
C
Kelvin
D
Centigradeac

Question 15Single Answer

A notebook contains only hundred statements as under :
1.This notebook contains 1 false statement.
2.This notebook contains 2 false statements.
99.This notebook contains 99 statements.
100.This notebook contains 100 statements.
Which of the statements is correct ?

A
100^th
B
1^st
C
99^th
D
2^nd

Question 16Single Answer

A chocolate bar having m x n unit square tiles is given, Calculate the number of cuts needed to break it completely, without stacking, into individual tiles —

A
(m x n)
B
(m -1)x(n -1)
C
(m x n)- 1
D
(m X n) +1

Question 17Single Answer

A person paid income tax at the rate of R% for the first Rs. 2 lakhs. and at the rate Of (R + 10 %) for income exceeding Rs. 2 lakhs. If the total tax paid is (R + 5%) of the annual income, then what is the annual income ?

A
Rs. 2.5 lakhs
B
Rs. 3.0 lakhs
C
Rs.4.0 lakhs
D
Rs. 5.0 lakhs

Question 18Single Answer

An experiment leads to the following set of observations of the variable ‘ ’ at different times ‘ ’.
t 0 1 2 3 4 5 6
v 5 6.1 9.1 13.7 20.6 30.8 41.4
Allowing for experimental errors, which of the following expressions best describes the relationship between and ?

A
v x t²
B
(v - 5) x t²
C
v=5t+ t²
D
(v- 5)= (t+5)

Question 19Single Answer

The difference between the squares of the ages (in complete years) of a father and his son is 899. The age of the father when his son was born —

A
cannot ascertained due to inadequate data
B
is 27 years
C
is 29 years
D
is 31 years

Question 20Single Answer

A bicycle tube has a mean circumference of 200 cm and a circular cross section of diameter 6 cm. What is the approximate volume of water (in cc) required to completely fill the tube, assuming that it does not expand ?

A
600
B
1200
C
3600
D
1800

Question 21Single Answer

Identify the species, those obey 18 electron rule, from the following .

A
1 and 2
B
2 and 3
C
3 and 4
D
1and4

Question 22Single Answer

The following transformation is an example of -

A
Oxidative addition
B
Insertion
C
hydride elimination
D
Reductive elimination

Question 23Single Answer

[Ni^IIL₆]^{n+ or n-} shows absorption bands at 8500, 15400, and 26000 cm^-1 whereas [Ni^IIL’₆]^{n+ or n-}, at 17500 and 28200 cm^-1. L’ are respectively -

A
OH^- and N₃-
B
Cl^- and I^-
C
NCS^- and RCO₂-
D
H₂O and NH₃

Question 24Single Answer

The number of microstates present in ³F term is -

A
3
B
21
C
9
D
28

Question 25Single Answer

CpM [Cp is (-C₅H₅)] fragment isolobal with a BH fragment is—

A
CpGe
B
CpMn
C
CpRu
D
Cpco

Question 26Single Answer

Which of the following numbers is the largest ?

Question 27Single Answer

The cube ABCDEFGH in the figure has each edge equal to a. The area of the triangle with vertices at A, C and F is

Question 28Single Answer

What is the number of distinct arrangements of the letters of the word UGC-CSIR so that U and I cannot come together?

A
2520
B
720
C
1520
D
1800

Question 29Single Answer

Suppose the sum of the seven positive numbers is 21. What is the minimum possible value of the average of the squares of these numbers?

A
63
B
21
C
9
D
7

Question 30Single Answer

Which of the following is true?

A
B < C < A
B
A < B < C
C
B < A < C
D
C < A < B

Question 31Single Answer

A circle of radius 5 units in the XY plane has its centre in the first quadrant, touches the x-axis and has a chord of length 6 units on the y-axis. The coordinate of its centre are

A
(4, 6)
B
(3, 5)
C
(5, 4)
D
(4, 5)

Question 32Single Answer

A wire of length 6 metres is used to make a tetrahedron of each edge 1 metre, using only one strand of wire for each edge. The minimun number of times the wire has to be cut is

A
2
B
3
C
1
D
zero

Question 33Single Answer

If the sum of the next two terms of the series below is x, what is the value of log₂x?
2, –4, 8, –16, 32, –64, 128, .......

A
128
B
10
C
256
D
8

Question 34Single Answer

A conical vessel with semi-vertical angle 30° and height 10.5 cm has a thin lid. A sphere kept inside it touches the lid. The radius of the sphere (in cm) is

A
3.5
B
5
C
6.5
D
7

Question 35Single Answer

Amar, Akbar and Anthony are three friends, one of whom is a doctor, another is an engineer and the third is a professor. Amar is not an engineer. Akbar is the shortest. The tallest person is a doctor. The engineer’s height is the geometric mean of the heights of the other two. Then which of the following is true?

A
Amar is a doctor and he is the tallest
B
Akbar is a professor and he is tallest
C
Anthony is an engineer and he is shortest
D
Anthony is a doctor and he is the tallest

Question 36Single Answer

If 100 cats catch 100 mice in 100 minutes, then how long will it take for 7 cats to catch 7 mice?

A
100/7 minutes
B
100 minutes
C
49/100 minutes
D
7 minutes

Question 37Single Answer

What does this digram demonstrate?

Question 38Single Answer

Suppose there are socks of N different colours in a box. If you take out one sock at a time, what is the maximum number of socks that you have to take out before a matching pair is found? Assume that N is an even number.

A
N
B
N + 1
C
N – 1
D
N/2

Question 39Single Answer

At what time after 4 O’ clock, the hour and the minute hands will lie opposite to each other?

A
4 – 50' – 31"
B
4 – 52' – 51"
C
4 – 53' – 23"
D
4 – 54' – 33"

Question 40Single Answer

Which of the following curves just touches the x-axis?

A
y = x2 – x + 1
B
y = x2 – 2x + 2
C
y = x2 – 10x + 25
D
y = x2 – 7x + 12

Question 41Single Answer

If AB is paralleled to CD and AO = 2OD, then the area of triangle OAB is bigger than the area of triangle OCD by a factor of

Question 42Single Answer

Suppose we make N identical smaller spheres from a big sphere. The total surface area of the smaller spheres is X times the total surface area of the big sphere, where X is

A
B
1
C
N^1/3
D
N³

Question 43Single Answer

What is the next number in the sequence 24, 30, 33, 39, 51,........?

A
57
B
69
C
54
D
81

Question 44Single Answer

Four lines are drawn on a plane with no two parallel and no three concurrent. Lines are drawn joining the points of intersection of the previous four lines. The number of new lines obtained this way is

A
3
B
5
C
12
D
2

Question 45Single Answer

For an odd nucleon in 'g’ nuclear orbital and parallel to I, spin and parity are

A
9/2 and (+)
B
7/2 and (+)
C
9/2 and (–)
D
7/2 and (–)

Question 46Single Answer

For the deposition of Pb by electroplating, the best suited compound among the following is

A
PbCl₂
B
PbSO₄
C
Pb(Et)₄
D
Pb(BF₄)₂

Question 47Single Answer

Appropriate reasons for the deviation form the Beer’s law among the following are
1. Monochromaticity of light
2. Very high concentration of analyte
3. Association of analyte
4. Dissociation of analyte

A
1, 2 and 4
B
2, 3 and 4
C
1, 3 and 4
D
1, 2 and 3

Question 48Single Answer

Which one of the following shows the highest solubility in hot concentrated aqueous NaOH?

A
La(OH)₃
B
Nd(OH)₃
C
Sm(OH)₃
D
Lu(OH)₃

Question 49Single Answer

In the vibrational spectrum of CO₂, the number of fundamental vibrational modes common in both infrared and Raman are

A
three
B
two
C
one
D
zero

Question 50Single Answer

The light pink colour of [Co(H₂O)₆]²⁺ and the deep blue colour of [CoCl₄]^2– are due to

A
MLCT transition in the first and d-d transition in the second
B
LMCT transitions in both
C
d-d transitions in both
D
d-d transition in the first and MLCT transition in the second

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Chemical Science

Question 51Single Answer

In Mo₂(S₂)₆]^2– cluster the number of bridging S₂^2– and coordination number of Mo respectively, are

A
2 and 8
B
2 and 6
C
1 and 8
D
1 and 6

Question 52Single Answer

1H NMR spectrum of HD would show

A
a singlet
B
a doublet
C
a triplet with intensity ratio : 1 : 2 : 1
D
a triplet with intensity ratio 1 : 1 : 1

Question 53Single Answer

The number of possible isomers of [Ru(PPh₃)₂(acac)₂] (acac = acetylacetonate) is

Question 54Single Answer

The total number of Cu – O bonds present in the crystalline copper (II) acetate monohydrate is

A
10
B
6
C
8
D
4

Question 55Single Answer

The electronegativity difference is the highest for the pair

A
Li, Cl
B
K, F
C
Na, Cl
D
Li, F

Question 56Single Answer

Which ones among CO₃^2–, SO3, XeO₃ and NO₃^– have planar structure?

A
CO₃^2–, SO₃ and XeO₃
B
SO₃, XeO₃ and NO₃–
C
CO₃^2–, XeO3 and NO₃–
D
CO₃^2–, SO₃ and NO₃–

Question 57Single Answer

The substitution of

⁵– Cp group with nitric oxide is the easiest for

A
⁵– Cp₂Fe
B
⁵– Cp₂CoCl
C
⁵– Cp₂Ni
D
⁵– Cp₂Co

Question 58Single Answer

The molecule

obeys 18 e rule. The two ‘M’ satisfying the condition are

A
Cr, Re⁺
B
Mo, V
C
V, Re⁺
D
Cr, V

Question 59Single Answer

The correct set of the biologically essential elements is

A
Fe, Mo, Cu, Zn
B
Fe, Cu, Co, Ru
C
Cu, Mn, Zn, Ag
D
Fe, Ru, Zn, Mg

Question 60Single Answer

The number of lines exhibited by a high resolution EPR spectrum of the species, [Cu(ethylenediamine₂]²⁺ is [Nuclear spin (I) of Cu = 3/2 and that of N = 1]

A
12
B
15
C
20
D
36

Question 61Single Answer

Degradation of penicillin G

gives penicillamine that can utilize nitrogen, oxygen or sulfur atoms as donors to bind with lead(II), mercury(II) or copper(II). The structure of penicillamine is

Question 62Single Answer

The molecule that has an S₆symmetry element is

A
B₂H₆
B
CH₄
C
PH₅
D
SF₆

Question 63Single Answer

The electric dipole allowed transition in a d² atomic system is

A
³F →¹D
B
³F →¹P
C
³F →³D
D
³F →³P

Question 64Single Answer

When a hydrogen atom is placed in an electric field along the y-axis, the orbital that mixes most with the ground state Is orbital is

A
2_s
B
2p_x
C
2p_y
D
2p_z

Question 65Single Answer

For water,

H_vap ≈41 kJ mol^–1. The molar entropy of vaporization at 1 atm pressure is approximately

A
410 J K^–1 mol^–1
B
110 J K^–1 mol^–1
C
41 J K^–1 mol^–1
D
11 J K^–1 mol^–1

Question 66Single Answer

If A and B are non-commuting hermitian operators, all eigenvalues of the operator given by the commutator [A, B] are

A
complex
B
real
C
imaginary
D
zero

Question 67Single Answer

The value of the commutator [x, px²] is given by

A
2 i
B
2 i
C
2 i x
D
2 i p_x

Question 68Single Answer

The correlation coeffcient between two arbitrary variable x and y is zero, if

A
=
B
= 2
C
= 2
D
=

Question 69Single Answer

A Carnot engine takes up 90 J of heat from the source kept at 300 K. The correct statement among the following is

A
it transfers 60 J of heat to the sink at 200 K
B
it transfers 50 J of heat to the sink at 200 K
C
it transfers 60 J of heat to the sink at 250 K
D
it transfers 50 J of heat to the sink at 250 K

Question 70Single Answer

The relative population in two states with energies E₁ and E₂ satisfying Boltzman distribution is given by n₁/n₂ = (3/2) exp. [–(E₁ – E₂)/K_BT], The relative degeneracy g₂/g₁ is

A
2
B
2/3
C
3/2
D
3

Question 71Single Answer

The Daniell cell is

A
Pt₁(s) | Zn(s) | Zn²⁺(aq) || Cu²⁺(aq) | Cu(s) | Pt₁₁(s)
B
Pt₁(s) | Zn(s) | Zn²⁺(aq) || A^g+(aq) | Ag(s) | Pt₁₁(s)
C
Pt₁(s) | Fe(s) | Fe²⁺(aq) || Cu²⁺(aq) | Cu(s) | Pt₁₁(s)
D
Pt₁(s) | H₂(g) | H₂SO₄(aq) || Cu²⁺(aq) | Cu(s) | Pt₁₁(s)

Question 72Single Answer

If the concept of half-life is generalized to quarter-life of a first order chemical reaction, it will be equal to

A
n 2 / k
B
n 4 / k
C
4 / k
D
1 / 4k

Question 73Single Answer

Kohlrausch’s law is applicable to a dilute solution of

A
potassium chloride in hexane
B
acetic acid in water
C
hydrochloric acid in water
D
benzoic acid in benzene

Question 74Single Answer

A dilute silver nitrate solution is added to a slight excess of sodium iodide solution. A solution of Agl is formed whose surface adsorbs

A
I^–
B
NO₃^–
C
Na⁺
D
A_g+

Question 75Single Answer

The absorption spectrum of O₂ shows a vibrational structure that becomes continuum at 56875 cm^–1. At the continuum, it dissociates into one ground state atom (O_g) and one excited state atom (O_e). The energy difference between O_e and O_g is 15125 cm^–1. The dissociation energy (in cm^–1) of ground state of O2 is

A
B
C
72000
D
41750

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Latest Bihar SLET Chemical Science Exam Question (Objective Questions), MCQ in English

Chemical Science

Bihar SLET Chemical Science Exam Online Question Bank Package

Chemical Science

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