BSc. CSIT Entrance Model Question
Total Allocation: 100 Marks
Examination Engine
Mathematics (25 * 1 = 25)
A sentence $x+7=5$ is:
a.
false statement
b.
true statement
c.
not a statement
d.
a statement
If $P$ and $Q$ are the nonempty sets and $P\subset Q$ then:
a.
$P\subset\overline{Q}$
b.
$\overline{Q}\subset\overline{P}$
c.
$P\cap Q=\emptyset$
d.
$P\supset Q$
If $|x-3|=7$ then $x=$
a.
{10, -4}
b.
[10, -4]
c.
{-8, 4}
d.
(10, -4)
$\sqrt{-1}$ is:
a.
an integer number
b.
a prime number
c.
an irrational number
d.
a complex number
The range of the function $f(x)=\sqrt{9-x^{2}}$ is:
a.
(-3, 3]
b.
[0, 3]
c.
(0, 3)
d.
{0, 2}
The function $f(x)=\sin x+x$ is:
a.
even function
b.
period function
c.
odd function
d.
neither even nor odd
If $x$, $y$, and $z$ are in A.P. then:
a.
$x+y=z$
b.
$y+z=2x$
c.
$x-z=2y$
d.
$x+z=2y$
The determinant of the matrix $A=[-3]$ is:
a.
3
b.
not possible
c.
-3
d.
0
If $x-iy=(5+2i)^{2}$ then $(x, y)$ is:
a.
(21, 20)
b.
(21, -20)
c.
(-21, 20)
d.
(-21, -20)
If in a triangle ABC, the angles are in A.P. then angle $B=$
a.
30°
b.
45°
c.
120°
d.
60°
The area of triangle ABC is:
a.
$2bc \sin A$
b.
$\frac{1}{2}bc \sin A$
c.
$bc \sin A$
d.
$\frac{1}{2}ac \sin A$
Equation of a line perpendicular to the line $2x+3y+5=0$ is:
a.
$3x-2y+7=0$
b.
$2x-3y+7=0$
c.
$-3x-2y-7=0$
d.
$-2x-3y+7=0$
The two lines represented by $ax^{2}+4xy+2y^{2}=0$ are perpendicular to each other for $a=$
a.
0
b.
-2
c.
2
d.
1
The equation of tangent at $(3, 4)$ to the circle $x^{2}+y^{2}=25$ is:
a.
$3x-4y=25$
b.
$3x+4y=-25$
c.
$4x+3y=25$
d.
$3x+4y=25$
The unit vector along the vector $3i+4j$ is:
a.
$i+j$
b.
$\frac{1}{5}(3i-4j)$
c.
$\frac{1}{5}(3i+4j)$
d.
$\frac{1}{5}(i+j)$
The scalar product of two vectors $3i-4j+k$ and $3i+4j$ is:
a.
6
b.
-7
c.
0
d.
-7i
Probability of getting an even number while rolling a die is:
a.
0
b.
1/3
c.
1/4
d.
1/2
$\lim_{x\rightarrow3}\frac{x^{3}-27}{x-3}=$
a.
3
b.
9
c.
27
d.
0/0
The values of $x$ for which $\frac{dy}{dx}=0$ for $y=x^{3}-3x^{2}$ are:
a.
0, 0
b.
0, 2
c.
0, -2
d.
0, 3/2
If $y=e^{\log x^{2}}$, then $\frac{dy}{dx}=$
a.
2x
b.
yx
c.
2x/y
d.
$e^{\log x^{2}}$
The point of inflection of $y=x^{3}-x^{2}$ is:
a.
3
b.
0
c.
1/3
d.
1
$\int_{0}^{1}3x^{2}e^{x^{3}}dx=$
a.
$e-1$
b.
$e$
c.
0
d.
$e^{3}$
Area bounded by the x-axis, the curve $y=x^{2}$, and the lines $x=0$ and $x=4$ is:
a.
64
b.
16
c.
16/3
d.
64/3
If $f(x)=x^{2}+5$, then the approximate value of $f^{\prime}(2)$ with $\Delta x=0.1$ using the forward difference is:
a.
6
b.
4.1
c.
4.2
d.
2
If two forces $P$ and $Q$, $P>Q$ are acting at a point of a body, in the same direction, then the resultant force is:
a.
$P-Q$
b.
$P+Q$
c.
$PQ$
d.
$Q-P$
Mathematics (25 * 1 = 25)
Physics (25 * 1 = 25)
A quantity $x$ is related by $x=\frac{\pi}{3}(a^{2}-b^{2})h$ where $a$, $b$ and $h$ are lengths, then quantity $x$ is:
a.
length
b.
velocity
c.
area
d.
volume
A vector is multiplied by -2 then:
a.
direction reverses and unit changes
b.
direction reverses and magnitude is doubled
c.
direction remains unchanged but unit changes
d.
neither direction reverses nor unit changes but magnitude is doubled
A stone is dropped from a height of 45 m. The distance travelled by it during its last second is:
a.
5 m
b.
10 m
c.
25 m
d.
50 m
A projectile is broken into two pieces at the maximum height. Then its:
a.
momentum increases
b.
momentum decreases
c.
kinetic energy increases
d.
kinetic energy decreases
Jet plane is based on the conservation of:
a.
mass
b.
energy
c.
linear momentum
d.
angular momentum
Which of the following possesses highest viscosity?
a.
water
b.
blood
c.
glycerine
d.
honey
The graph of kinetic energy (KE) of a body versus velocity ($v$) is represented as:
a.
A parabola opening upwards
b.
A straight line passing through the origin
c.
A hyperbola
d.
A straight line with negative slope
A mass $m$ is attached with two identical springs in parallel, having frequency $f$. If one of the springs is removed, then frequency will be:
a.
$f$
b.
$2f$
c.
$f\sqrt{2}$
d.
$f/\sqrt{2}$
A metal sheet has a circular hole in it. When it is heated, diameter of the hole:
a.
increases
b.
decreases
c.
remains unchanged
d.
First increases and then decreases
The mean free path of a gas varies with pressure $P$ as:
a.
$P$
b.
$P^{-1}$
c.
$P^{-2}$
d.
$P^{2}$
A body initially at $100^{\circ}\text{C}$ cools to $70^{\circ}\text{C}$ in 5 minutes and to $40^{\circ}\text{C}$ in 10 minutes. The temperature of the body at the end of 15 minutes will be:
a.
$35^{\circ}\text{C}$
b.
$30^{\circ}\text{C}$
c.
$25^{\circ}\text{C}$
d.
$20^{\circ}\text{C}$
Light of wavelength 550 nm falls normally on a slit of width $22\times10^{-7}\text{ m}$, the angular position of second minima from central maxima will be:
a.
$14.5^{\circ}$
b.
$42^{\circ}$
c.
$30^{\circ}$
d.
$62^{\circ}$
The variation of intensity with wavelength at different temperatures shows the peak shifting. The correct relation for temperatures $T_1$, $T_2$, and $T_3$ (where $T_1$ peaks at the shortest wavelength) is:
a.
$T_1 > T_2 > T_3$
b.
$T_1 > T_3 > T_2$
c.
$T_2 > T_3 > T_1$
d.
$T_3 > T_2 > T_1$
A completely transparent material will be invisible in vacuum when refractive index ($\mu$) is:
a.
unity
b.
more than unity
c.
less than unity
d.
infinity
For a convex mirror, the variation of image distance ($v$) with object distance ($u$) produces a graph which is a:
a.
Straight line
b.
Rectangular hyperbola
c.
Parabola curve
d.
Circular arc
Sweetness of sound depends upon its:
a.
wavelength
b.
periodicity
c.
periodicity and regularity
d.
amplitude
A parallel plate capacitor is charged and the charging battery is then disconnected. If the plates of capacitors are removed further apart by means of insulating handles:
a.
The charge on the capacitor increases
b.
The voltage across the plate increases
c.
The capacitance increases
d.
The energy stored decreases
The equivalent resistance between the points X and Y in a balanced Wheatstone bridge consisting of 10 $\Omega$ resistors is:
a.
10 $\Omega$
b.
20 $\Omega$
c.
30 $\Omega$
d.
40 $\Omega$
A magnetic needle kept in a non-uniform magnetic field experiences:
a.
torque but not a force
b.
neither a force nor a torque
c.
force and a torque
d.
a force but not a torque
A source of 34 V and 50 Hz is connected in series with a coil of 17 mH and resistor of 10 $\Omega$. The potential difference across the coil is:
a.
12 V
b.
16 V
c.
28 V
d.
32 V
A strong argument for particle nature of cathode rays is that they:
a.
Produce fluorescence
b.
Travel through vacuum
c.
Get deflected by electric and magnetic fields
d.
Cast shadow
When objects placed in a room are exposed to X-rays, they appear:
a.
invisible
b.
yellow
c.
blue
d.
no color change (unaffected visibly unless fluorescent)
Which series of Hydrogen atom lies in the infrared region?
a.
Lyman
b.
Balmer
c.
Pfund
d.
H-alpha
When Boron $(_5\text{B}^{10})$ is bombarded by neutron, alpha particles are emitted. The resulting nucleus has the mass number:
a.
11
b.
7
c.
6
d.
15
In P-type semiconductor, the majority and minority charge carriers are respectively:
a.
Protons and electrons
b.
Electrons and protons
c.
Electrons and holes
d.
Holes and electrons
Chemistry (25 * 1 = 25)
The weight of sodium carbonate required to prepare 100 mL of its decinormal solution is:
a.
0.53 g
b.
5.3 g
c.
0.053 g
d.
5.6 g
The concept of pH was introduced by:
a.
Arrhenius
b.
Lewis
c.
Bronsted
d.
Sorensen
The rate of a chemical reaction increases with:
a.
increase in particle size of the reactants
b.
increase in temperature
c.
decrease in temperature
d.
decrease in concentration of reactants
A spontaneous change is one in which the system has:
a.
an increase in internal energy
b.
lowering of entropy
c.
lowering of free energy
d.
no energy change
Which of the following is an example of transition metal?
a.
cobalt
b.
potassium
c.
magnesium
d.
silicon
Which of the following compound is called blue vitriol?
a.
$Cu_2O$
b.
$CuSO_4$
c.
$CuCl_2$
d.
$Cu_2Cl_2$
Silver is extracted from its sulphide ore by:
a.
Contact process
b.
Down's process
c.
Cyanide process
d.
Ostwald's process
2,4-Dichlorophenoxyacetic acid (2,4-D) is generally used as:
a.
a herbicide
b.
an insecticide
c.
a fungicide
d.
none of the above
A class of organometallic compounds of magnesium with the general formula $RMgX$ (where, $R$ is an organic group and $X$ is a halogen atom) is known as:
a.
Tollen's reagent
b.
Nessler's reagent
c.
Schiff's reagent
d.
Grignard reagent
Aldehydes can be distinguished from ketones by:
a.
Fehling's solution
b.
conc. $H_2SO_4$
c.
Grignard's reagent
d.
pyragallol
Picric acid is obtained by the nitration of:
a.
aniline
b.
phenol
c.
benzene
d.
benzoic acid
Which of the following compound is used as an anaesthetic?
a.
ethylene
b.
ethyl alcohol
c.
chloroform
d.
acetylene
Aromatic carboxylic acid is:
a.
formic acid
b.
acetic acid
c.
stearic acid
d.
cinnamic acid
Which of the following compound is called urea?
a.
$NH_2CONH_2$
b.
$NH_2COONH_4$
c.
$H_2NNHCONH_2$
d.
$H_2NCONHC_2H_5$
Ethyne reacts with alkaline $KMnO_4$ solution to give:
a.
glyoxal
b.
oxalic acid
c.
ethanoic acid
d.
acetic acid
IUPAC name of acetaldehyde is:
a.
methanal
b.
propanal
c.
ethanal
d.
butanal
Which is the most toxic chemical forms of mercury?
a.
Hg
b.
${Hg_2}^{2+}$
c.
$Hg^{2+}$
d.
$CH_3Hg^+$
The number of molecules in 32 g of oxygen is:
a.
$6.02\times10^{23}$
b.
$6.02\times10^{9}$
c.
$3.2\times10^{23}$
d.
$3.2\times10^{16}$
The outermost electronic configuration of chromium is:
a.
$3d^44s^2$
b.
$3d^54s^1$
c.
$3d^54s^2$
d.
$3d^64s^2$
Which of the following has the lowest ionic radius?
a.
$O^{2-}$
b.
$F^-$
c.
$Al^{3+}$
d.
$Na^+$
Which of the following hydrogen halides has the lowest dipole moment?
a.
HF
b.
HCl
c.
HBr
d.
HI
The value of universal gas constant ($R$) in SI unit is:
a.
8.314 joule $K^{-1}mol^{-1}$
b.
5.314 joule $K^{-1}mol^{-1}$
c.
3.501 joule $K^{-1}mol^{-1}$
d.
$8.314\times10^7$ ergs $K^{-1}mol^{-1}$
An example of acidic oxide is:
a.
NO
b.
$N_2O_5$
c.
$N_2O$
d.
$Al_2O_3$
The ionic character in H-X bond is highest in:
a.
HCl
b.
HBr
c.
HF
d.
HI
Which of the following compounds is called magnesia?
a.
$MgSO_4 \cdot 7H_2O$
b.
$MgCl_2 \cdot 6H_2O$
c.
$MgCl_2$
d.
$Mg(OH)_2$
English (15 * 1 = 15)
The word "headhunter" gets its prime stress on:
a.
$I^{st}$ syllable
b.
$2^{nd}$ syllable
c.
$3^{rd}$ syllable
d.
none
Pick out the word or group of words which has nearly the same meaning as the word "headland":
a.
highland
b.
flat land
c.
promontory
d.
marshy land
Pick out the word or group of words which has nearly the same meaning as the word "remarkable":
a.
good
b.
astonishing
c.
commendable
d.
notable
Pick out the word or group of words which has nearly the opposite meaning as the word "pompous":
a.
showy
b.
wealthy
c.
convincing
d.
humble
Pick out the word or group of words which has nearly the opposite meaning as the word "reciprocal":
a.
obstinate
b.
unilateral
c.
mutual
d.
imaginary
Writing with correct spelling is:
a.
orthography
b.
homograph
c.
telegraphy
d.
lithography
Choose the correct word order in the expression "We... cruelty, ...tyranny and ... a flatterer."
a.
hate, abhor, loathe
b.
abhor, hate, loathe
c.
loathe, hate, abhor
d.
abhor, loathe, hate
Belief that God is nature:
a.
Henotheism
b.
Polytheism
c.
Pantheism
d.
Deism
Choose correct prepositions for the given expression "For a week she lived ... banana and milk as she believed ... the prescription of her doctor."
a.
at, on
b.
on, in
c.
in, on
d.
on, on
Choose correct prepositions for the given expression "I am scared ... loss ... my business but keen ... gambling."
a.
in, of, on
b.
on, in, of
c.
in, on, of
d.
of, in, on
Pick up the correct phrasal verb for the expression: "I was the son of sailors and ... stories of the sea."
a.
reared on
b.
reared off
c.
brought on
d.
put on
Pick up the correct phrasal verb for the expression: "When does school ... for the summer vacation?"
a.
break out
b.
break up
c.
break off
d.
break in
Give the exact meaning of the idiomatic expression "Bright and breezy":
a.
in very sad mood
b.
in very active mood
c.
in a cheerful mood to do things quickly
d.
in decisive mood
Give the exact meaning of the idiomatic expression: "Go by the board"
a.
plans discontinued and abandoned
b.
plans in action
c.
with a new plane
d.
no plan for sometime
Use correct conditional expression in the expression: "You must go tomorrow ... you are ready or not."
a.
if
b.
even if
c.
unless
d.
whether
Computer Related GK (10 * 1 = 10)
MS-Word is an example of:
a.
An operating system
b.
A processing device
c.
Application software
d.
An input device
A computer cannot "boot" if it does not have the:
a.
Compiler
b.
Loader
c.
Operating system
d.
Assembler
By default, your documents print in _____ mode.
a.
Landscape
b.
Portrait
c.
Page Setup
d.
Print View
Ctrl, Shift and Alt are called _____ keys.
a.
modifier
b.
function
c.
alphanumeric
d.
adjustment
Storage which stores or retains data after power off is called:
a.
Volatile storage
b.
Non-volatile storage
c.
Sequential storage
d.
Direct storage
What are the four things needed to connect to the internet?
a.
telephone line, modem, computer, and an ISP
b.
modem, computer, PDA, and ISP
c.
telephone line, modem, computer, and PDA
d.
computer, ISP, modem, and communication software
Which process refers to the starting up of a computer and the loading of the required parts of the operating system into the RAM?
a.
Booting
b.
Tagging
c.
Swipping
d.
Mapping
In the context of a word document, the term gutter stands for:
a.
the blank page inserted in between two filled pages
b.
the space left on the left side for rough work
c.
the space between two paragraphs
d.
the space left on one side for stitching and binding
Programs stored in ROM are called as:
a.
Fireware
b.
Formware
c.
Farmware
d.
Firmware
Select the correct statement from the following statements:
A. MS-Excel creates workbooks, and each workbook may contain more work sheets.
B. A worksheet in MS-Excel 2000 package has a maximum of 256 columns and 65536 rows.
C. Columns are identified by a number and rows are identified by a letter.
D. Cells are identified by the column letter and the row number.
a.
A, B, C
b.
A, C, D
c.
B, C, D
d.
A, B, D
Finalize and Submit Test Paper