Entrance Examination 2022

Total Allocation: 100 Marks
Examination Engine
Question 1 of 1
Group A : Grammar( 40*1=40)
Managers have authority ...........their employees. [cite: 9722]
She was born........the 14th of July, 1994 [cite: 9725]
At the end of the street, turn....your left. [cite: 9750]
The man has been working here ..........last Monday. [cite: 9751]
She is expected to arrive ............ a month's time. [cite: 9802]
He crossed ... Pacific ocean by plane. [cite: 9788]
She is .......doctor by profession. [cite: 9805]
Please call ....doctor as soon as possible, he is getting worse. [cite: 9806]
Milan is in ... north of Italy. [cite: 9799]
She is .....Smallest of the three sisters. [cite: 9810]
She helped her brother.......the problem. [cite: 9812]
I will make her....the telephone. [cite: 9815]
She is having me ...the job for her. [cite: 9823]
He got his car.... [cite: 9828]
My mother got me ...my work. [cite: 9834]
Columbus discovered America.....? [cite: 9835]
Stop that noise, ....? [cite: 9734]
Let's march ahead,.....? [cite: 9740]
You and I are friends,.........? [cite: 9752]
Everyone is happy..........? [cite: 9753]
I wish that he....to the party. [cite: 9756]
The tourist finally got used to.....Nepali food after staying in Nepal for five months. [cite: 9759]
The cat had ....tail hurt. [cite: 9779]
She washes the clothes... [cite: 9870]
The plural of "goose" is [cite: 9875]
The opposite of "detest" is ... [cite: 9880]
The word "understand" receives stress on its ....syllable. [cite: 9842]
A speech made at the end of the play is a/an: [cite: 9847]
What is the indirect speech form of: He said "What a beautiful scene!"? [cite: 9853]
What is the indirect speech form of "congratulations"? [cite: 9858]
What is the passive voice of "I did it"? [cite: 9863]
She postponed.......to Pokhara. [cite: 9886]
You will succeed if you......hard. [cite: 9891]
I would rather...drink coffee than tea. [cite: 9896]
She acts as though she... acting classes. [cite: 9901]
Reading Comprehension Context
Direction: Read the passage carefully and then choose the best answer to each question that follows based on its context. [cite: 9906]
Very closely associated with the beauty of the mountains are some special emotions that the peaks provoke. The companionship provided by climbing together is almost universally value. Lonely through the mountain peaks are, the teams of mountaineers who climb them find an developing between them. The friendship established in the mountains is lasting and irreplaceable walked the feather edge of danger with someone. When you have held his life at the end of a room he has later held yours, you have an almost impregnable foundation for friendship, for the deeper from sharing failure as well as success, danger as well as safety. [cite: 9907, 9908, 9909, 9910, 9911]
The friendship established during mountain climbing is: [cite: 9913]
Real friendship is born when people share about their: [cite: 9918]
When you have walked the feather edge of danger with someone: [cite: 9924]
The word 'impregnable' used in the text implies: [cite: 9929]
The phrase "Walked the feather edge of danger with someone" contextually means: [cite: 9934]
Group B : Mathematics ( 50*1=50)
If $n(A)=50$, $n(B)=30$, $n(U)=70$, and $n(A\cap B)=15$, then $n(\overline{A\cup B})$ is equal to:
The set of natural numbers is classified as a/an:
If $n(A)=26$ and $n(B)=32$, then the maximum possible value of $n(A\cup B)$ is:
The Marked Price of an article is Rs. 8,500. If a discount of $10\%$ is allowed, the final selling price is:
If $\pounds 7 = \$11$ and $\$2 = \text{Rs. } 213$, then how many pounds ($\pounds$) can be exchanged for Rs. 117,150?
A mobile phone is sold for Rs. 11,000, yielding a clear profit of Rs. 1,000. What is the profit percentage?
The area of an equilateral triangle having a uniform side length of '$a$' is given by the formula:
Find the approximate area of a triangle with sides measuring 4 cm, 5 cm, and 7 cm respectively:
The radius of a cylinder is 7 cm and its height is 12 cm. Find its internal volume:
Find the total surface area of a solid hemisphere having a radius of 7 cm:
If the volume of a cone is $3696\text{ cm}^3$ and the radius of its circular base is 14 cm, then the vertical height of the cone is:
If $3^{2x} - 9 = 0$, then the value of the exponent variable '$x$' is equal to:
Evaluate the value of the expressions string: $\left(\frac{27}{8}\right)^{\frac{1}{3}} \div \left(\frac{9}{4}\right)^{\frac{1}{2}}$
The geometric behavior of the two linear equations $x - y = 4$ and $2x - y = 16$ is characterized as:
The sum and difference of two positive integers are 15 and 5 respectively. Find out the values of these two numbers:
A number is exactly twice the value of another number. If their sum evaluates to 30, find the values of these two numbers:
If the sum of the squares of two consecutive positive even numbers is 100, then what are these numbers?
If 17 is subtracted from the square of a number, the result is 152. Find the value of that positive number:
Find the sum of the first 20 positive integers ($1 + 2 + 3 + \dots + 20$):
Find the general value of the fifth term of the fractional progression sequence: $\frac{1}{2}, \frac{4}{5}, \frac{7}{8}, \dots$
If $f(x) = 2x + 3$, then find the output value of $f(3)$:
Evaluate the exact sum value of the trigonometric function: $\sin(\pi) + \cos(\pi)$
One factor of the third-degree polynomial $x^3 - 4x^2 + x + 6$ is found to be $(x+1)$. Identify another valid factor from the options below:
Find the sum of the infinite geometric series: $1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \dots$
Find the sum of the squares of the first 5 natural numbers ($1^2 + 2^2 + 3^2 + 4^2 + 5^2$):
The top of a tree observed from a distance of 45 meters makes an angle of elevation of $45^{\circ}$ to the observer. What is the height of the tree?
If two straight lines are perpendicular to each other, then the product of their slopes ($m_1 \times m_2$) is:
Find the distance between the two points $(2,1)$ and $(2,5)$ in a Cartesian coordinate plane:
Find the equation of a straight line which runs completely parallel to the y-axis and passes through the coordinate point $(3, 0)$:
Find the single combined joint quadratic equation represented by the two independent lines $x = 2y$ and $2x = y$:
The diameter of a circle always subtends an angle at the peripheral circumference measuring exactly:
Select the correct theorem rule stating the relationship between angles subtended by a shared arc at the center versus the circumference:
If a parallelogram and a triangle stand flatly on an identical base and lie between the same parallel boundaries, then:
The cumulative sum of all four internal angles within any standard cyclic quadrilateral evaluates to:
In a geometric layout matching the circle properties, if a tangent line $PT$ intersects a radial line extending from center $O$ such that the internal angle $\angle OPT = 40^{\circ}$, what is the value of the missing angle $x$?
In a circular chord diagram configuration featuring an inscribed base angle parameter of $30^{\circ}$, what is the resulting value of the paired alternate segment angle '$y$'?
If a matrix is given as $A = \begin{bmatrix}2 & 3 \\ 1 & 1\end{bmatrix}$, then the correct inverse matrix $A^{-1}$ is:
The determinant value of any standard singular matrix is always:
What is the mathematical value of $\text{tan } 90^{\circ}$?
Out of a group of 120 students, 80 choose Mathematics and 62 choose Statistics. If 20 students choose neither of the two courses, how many students take both subjects?
The inequality constraint $-5 < x < 9$ can be written in absolute value notation as:
If a relation is defined as $R = \{(1,2), (2,3), (3,4), (4,5)\}$, then its range is:
The radius of the circle defined by the equation $x^2 + y^2 = 25$ is equal to:
Simplify the radical expression: $2\sqrt{128} + \sqrt{162}$
How many stone slabs, each covering an area of $22\text{ cm}^2$, are required for paving a courtyard 5.5 m long and 4 m wide?
Calculate the commission amount earned on Rs. 5,600 at an administrative rate of $5\%$:
If a discount amount of Rs. 696 is deducted from a marked price of Rs. 5,800, then the discount percentage is:
If the discriminant value of a quadratic equation is zero ($b^2 - 4ac = 0$), then its roots are:
Which of the following algebraic expressions represents the correct definition of the Arithmetic Mean (A.M.) of two numbers '$a$' and '$b$'?
Evaluate the fundamental trigonometric limit value: $\lim_{x \to 0} \frac{\sin(x)}{x}$
Group C : General Knowledge & IT (10*1=10)
What is the full form of WWW?
Which of the following is NOT an input device?
The day before the day before yesterday is three days after Saturday. What day is today?
A and B are brothers, C and D are sisters. A's son is D's brother. How is B related to C?
What is the official total area of Nepal?
Who is the author of the famous Nepali novel 'Palpasa Cafe'?
How many total national teams participated in the FIFA World Cup 2022?
At what temperature does pure water reach its maximum density?
The famous Shashwat Dham Temple complex is situated in which district of Nepal?
Which is the first WiFi-free (or eco-conserved focus zone variation) district of Nepal listed in the testing index?

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