Entrance Examination 2078

Total Allocation: 100 Marks
Examination Engine
Question 1 of 1
Group A : Grammar( 40*1=40)
'We had a new teacher today called Mary'. What was she............?
I'm really looking forward to...............my new course.
'Can you............the time of the next train to London?' 'O.K. I'll phone the station.'
Martha has been watching television, and............
If you are "up front", you are............
"Under wraps" means............
An Englishman's home is his............
"False friends are............"
It was............ Music I have ever heard.
They managed to............ All their unwanted things at the jumble sale.
Select the correct antonym for 'injustice'.
The prices of consumer's goods............increasing now.
Please............enclosed our current catalogue and price list.
The word 'Beautiful' has its principal stress on the ......syllable.
Which of the following words does not have a suffix?
Which of the following words is an adverb?
Rosemary.........three languages.
Your English is really improving but mine........
Mike is beside Pat. Pat is ............ Mike.
His office is ............ the second floor of the building.
............you have a good holiday last year?
I left college three years............
Their son............ In this hospital.
Will you ............ off the photocopier?
He began to realize that he ............a mistake.
Let us go............
Neither of them ............a problem.
What is the passive voice of: 'We celebrate Democracy Day on Falgun seven.'?
She is............ Obedient student.
The opposite meaning of 'accepted' is:
Choose the word nearest in meaning to 'copy':
Which is the correct indirect speech for: Hari says, "I am very happy"
A government controlled by the rich is:
We must be early ............we won't get a seat
Badminton is played on a court whereas boxing in a........
Reading Comprehension Context
Direction: Read the passage carefully and select the best option answer based on its contents.
Television acts as a narcotics on children- mesmerizing them, stunting their ability to thick, and displacing such wholesome activities as book reading and family discussions. Right? Wrong, says researchers Daniel Anderson, a psychologist at the University of Massachusetts at Amherst. Anderson doesn't have any particular affection for Garfield and friend, MTV clips, or Gilligan's Island returns. But he does believe it's important to distinguish television's impact on Children from influences of the family and the wider culture. We tend to blame TV, he says, for problem it doesn't really cause. In the process, we overlook our own roles in shaping children's minds. One conventional belief about television is that it impairs a child 's ability to think and to interpret the world. But Anderson's own research and reviews of the scientific literature discredit this assumption. While watching TV, children do not merely absorb words and images. Instead they muse upon the meaning of what they see, its plausibility, and its implications for the future- weather they've tuned in to a news report of a natural disaster or an action show. Because television relies on such cinematic techniques as montage and crosscutting, children learn early how to draw inference about the passage of time, character psychology, and implied events. Even preschoolers comprehend more than just the information supplied on the tube.
According to conventional critics or initial introductory concepts stated in text, television acts as:
The belief that TV impairs a child's ability to think and interpret the world belongs to the:
While watching TV, children are actively more concerned with analyzing:
To communicate narratives effectively, television depends structural elements on:
Through exposure to standard media structures, TV helps develop the:
Group B : Mathematics ( 50*1=50)
If $A$ and $B$ are two subsets of a universal set $U$, state the condition for $n(A \cup B) = n(A) + n(B)$[cite: 3].
If $n(U) = 120$, $n(A) = 55$, $n(B) = 75$, and $n(A \cup B) = 100$, then what is the value of $n(A \cap B)$?[cite: 3]
The cost of an electric item is Rs. 4,250. How much should a customer pay for it with $13\%$ VAT included?[cite: 3]
If US $\$1 = \text{NPR } 115$, convert NPR 67,275 into US Dollars:[cite: 3]
If $f(x) = 2x$ and $g(x) = x + 1$, then evaluate the composite function output for $f(g(2))$:[cite: 3]
A man earns Rs. 720 a month. If he spends $80\%$ of it each month, how much will he save over a full year?[cite: 3]
If the selling price of 12 cycles is equal to the cost price of 15 cycles, find the net gain percentage:[cite: 3]
Find the circumference of a circle whose total area is equal to exactly half that of a rectangle measuring 44 cm by 28 cm:[cite: 3]
If a water storage tank with a capacity of $96\text{ m}^3$ has a base area of $24\text{ m}^2$, what is its vertical height?[cite: 3]
If $154,000\text{ cm}^3$ of water is pumped out from a cylindrical well of diameter 3.5m, find the resulting decrease in water height (in cm):[cite: 3]
If the surface area of a hemisphere is $32\text{ m}^2$, then find its radius:[cite: 3]
Two numbers are in the ratio $2:5$ and their sum evaluates to 35. Find the value of the smaller number:[cite: 3]
Find the numerical value of the exponential expression: $(343)^{-\frac{2}{3}}$[cite: 3]
If $3^{2x+1} = 9^{2x-1}$, then the value of $x$ is equal to:[cite: 3]
In a single throw of a standard fair dice, what is the probability of getting a number divisible by 3?[cite: 3]
One ticket is drawn at random from a bag containing 15 tickets numbered sequentially from 1 to 15. Find the probability that the ticket contains a number which is a multiple of 3:[cite: 3]
In a standard three-dimensional Cartesian space, the three coordinate axes divide the total space into how many separate sections?[cite: 3]
Evaluating area formulas, 'half of the product of the diagonals' ($\frac{1}{2} \times d_1 \times d_2$) indicates the area of a:[cite: 3]
A parallelogram has an area of $24\text{ cm}^2$ and a base length of 6 cm. Find its vertical height:[cite: 3]
If the total area of a triangle is 56 sq. cm and its altitude (height) is 8 cm, what is its base length?[cite: 3]
If a matrix is given as $A = \begin{bmatrix}3 & 2 \\ 4 & 3\end{bmatrix}$, then the inverse matrix $A^{-1}$ is equal to:[cite: 3]
If the determinant of a square matrix evaluates to exactly zero ($|A| = 0$), then matrix $A$ is specifically called a/an:[cite: 3]
Which famous mathematician is historically celebrated for discovering the quick sequence summation method for natural numbers as a schoolchild?[cite: 3]
Find the sum of the infinite geometric series: $1 + \frac{1}{2} + \frac{1}{2^2} + \frac{1}{2^3} + \dots$[cite: 3]
Find the Arithmetic Mean (A.M.) between the two algebraic terms $(x-3)$ and $(3x+5)$:[cite: 3]
The exact trigonometric expansion value of $\sin 75^{\circ}$ is given by:[cite: 3]
Find the statistical mean of the following discrete dataset: 4, 6, 8, 10, 12, 14[cite: 3]
Find the angle between the two straight lines $2x - 3y + 1 = 0$ and $3x + 2y - 2 = 0$:[cite: 3]
Evaluate the trigonometric limit: $\lim_{x \to a} \frac{\sin(x-a)}{x-a}$[cite: 3]
The calculus derivative of $\tan x$ with respect to $x$ is:[cite: 3]
Evaluate the limit value: $\lim_{x \to 3} \frac{x^2 - 9}{x - 3}$[cite: 3]
Find the reflection coordinates of the point $(-1, 2)$ mapped across the straight line $y = x$:[cite: 3]
Find the mathematical value of the imaginary unit term: $(i)^{101}$[cite: 3]
The total number of unique subsets that can be constructed from a set containing '$n$' elements is:[cite: 3]
If $A = 60^{\circ}$, evaluate the value of $\sin 3A$:[cite: 3]
If the equation of a circle is $x^2 + y^2 - 4x + 2y - 11 = 0$, then find its center coordinates:[cite: 3]
If an equilateral triangle has a side length of '$a$', then its area is given by:[cite: 3]
The exterior angle of any standard regular hexagon measures exactly:[cite: 3]
If an angle measures $270^{\circ}$ in the degree system, what is its value under the grade system?[cite: 3]
An observer looks at the top of a tree which stands at a horizontal distance of 1000m. If the angle of elevation is $45^{\circ}$, what is the height of the tree?[cite: 3]
If $\sin \theta - \cos \theta = 0$, then find the positive acute value of $\theta$:[cite: 3]
If a number variable constraint is $x > 0$, then its absolute value expression $|x|$ simplifies exactly to:[cite: 3]
Find the numerical range of the step-ratio sign function $f(x) = \frac{x}{|x|}$:[cite: 3]
For any active set framework $A$, simplifying the complement statement $((A'))'$ returns:[cite: 3]
Find the Geometric Mean (G.M.) between the two discrete numbers 4 and 16:[cite: 3]
Find the 6th term of the geometric progression sequence: 3, 9, 27, ...[cite: 3]
For any arbitrary integer '$n$', which of the following expression configurations will always produce an odd integer?[cite: 3]
The single unique internal point where all three medians of a triangle intersect each other is defined as the:[cite: 3]
The set defined by $A = \{x : x \in N \text{ and } x^2 + 3x + 2 = 0\}$ is classified as a/an:[cite: 3]
Find the Highest Common Factor (H.C.F.) of the two separate algebraic expressions $(a^2 - b^2)$ and $(a^2 + 2ab + b^2)$:[cite: 3]
Group C : General Knowledge & IT (10*1=10)
The famous Halesi Mahadev Temple is situated in which district of Nepal?
The oldest continuously used national flag in the world belongs to:
The modern guitar was first historically introduced from which country?
In computer science, what does the abbreviation 'AI' usually stand for?
Who was serving as the Vice Chancellor of Tribhuvan University during the 2078 evaluation period?
The national sport of Bhutan is:
Who is the current Chief Executive Officer (CEO) of Apple Inc.?
What is the capital city of Brazil?
Who is the long-serving goalkeeper and Captain of Nepal's National Football Team?
Which ancient country is historically referred to as the 'Gift of the Nile'?

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