TU IOST | Purbanchal University paper
Answer (d): A question is reported with "asked" plus the object "me", the word order becomes statement order, the tense shifts back (go to went) and "this" becomes "that".
Revise: Grammar and Usage (Class 11 notes)
Answer (d): Aloof means distant and unfriendly, so its opposite is friendly.
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (a): After the causative verb "make" we use the bare infinitive (make someone do), so "prepare".
Revise: Grammar and Usage (Class 11 notes)
Answer (c): The verb "aim" takes the preposition "at" for a target.
Revise: Grammar and Usage (Class 11 notes)
Answer (b): Hotel, motel and inn are places where travellers pay to stay, while a house is a private home.
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (d): In an embedded question the word order must be a statement: only "I know whom she loves" avoids the inverted order of the other options.
Revise: Grammar and Usage (Class 11 notes)
Answer (b): "Sensual" refers to bodily, physical pleasures; "sensuous" is about appeal to the senses in an aesthetic way.
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (c): Telling someone to mind their own business is a harsh remark, so "sharply" fits the tone.
Revise: Grammar and Usage (Class 11 notes)
Answer (c): "Unanimous decision" is the fixed collocation meaning everyone agrees.
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (b): Eradicate means to destroy completely, i.e. remove.
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (b): Tendency means a general direction of change, which is a trend.
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (a): Nouns ending in consonant + y change y to ies, so deity becomes deities.
Revise: Grammar and Usage (Class 11 notes)
Answer (b): Second conditional: past simple in the if clause takes "would" in the main clause.
Revise: Grammar and Usage (Class 11 notes)
Answer (c): "Make someone" is followed by the bare infinitive, so "laugh".
Revise: Grammar and Usage (Class 11 notes)
Answer (a): The subject "You and I" is replaced by "we" in the question tag, and a positive statement takes a negative tag.
Revise: Grammar and Usage (Class 11 notes)
Answer (d): An abstract uncountable noun used in a general sense takes no article.
Revise: Grammar and Usage (Class 11 notes)
Answer (a): Defer means to put off until later, i.e. postpone.
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (d): Kowtow means to show excessive deference, closest to respect.
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (a): Detest means to dislike intensely, so the opposite is adore.
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (b): Courageous means brave, whose opposite is cowardly.
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (c): A condition of the pass is expressed by "provided that"; "if" is also possible, but "provided that" is the intended stronger conditional connector.
Revise: Grammar and Usage (Class 11 notes)
Answer (d): A wish about the past takes the past perfect, so "had come".
Revise: Grammar and Usage (Class 11 notes)
Answer (a): The declaration 'will be signed tomorrow' states a future fact; 'supposed' needs 'is supposed to' and 'going to' needs 'is'.
Revise: Grammar and Usage (Class 11 notes)
Answer (d): Fraud and custom are nouns, practice is mainly a noun here, while clothe is only a verb.
Revise: Grammar and Usage (Class 11 notes)
Answer (c): Heighten and abbreviate are verbs and official is mostly an adjective; ignorance is a noun.
Revise: Grammar and Usage (Class 11 notes)
Answer (b): For disjoint sets $n(A\cap B)=0$, so $n(A\cup B)=n(A)+n(B)-0=n(A)+n(B)$.
Revise: Algebra (Class 11 notes)
Answer (c): For $2\le y\le3$, $y-2\ge0$ and $y-3\le0$, so their product is $\le0$.
Revise: Algebra (Class 11 notes)
Answer (d): $\log(1-x)$ needs $x<1$ and the root needs $x^2\ge 1$, so $x\le -1$, i.e. $(-\infty,-1]$; the closest option is (-infinity, -1).
Revise: Algebra (Class 11 notes)
Answer (b): $f(-x)=-x^3-\tan x=-f(x)$, so it is odd.
Revise: Algebra (Class 11 notes)
Answer (a): $i-1-i+1=0$.
Revise: Algebra (Class 11 notes)
Answer (b): Sum of roots is 0 and product is $-\frac14$, so $x^2-\frac14=0$, i.e. $4x^2-1=0$.
Revise: Algebra (Class 11 notes)
Answer (b): Geometric series with $a=5$, $r=\frac12$: $S=\frac{5}{1-1/2}=10$.
Revise: Algebra (Class 11 notes)
Answer (a): Angles $a,a+d,a+2d$ sum to $180^\circ$, so the middle one is $60^\circ$, $d=30^\circ$ and the greatest is $90^\circ=\frac{\pi}{2}$.
Revise: Algebra (Class 11 notes)
Answer (a): For an acute triangle the perpendicular bisectors meet inside it (right triangle: on the hypotenuse; obtuse: outside).
Revise: Analytic geometry (Class 11 notes)
Answer (a): $270^\circ-\theta$ lies in the third quadrant where sine is negative and the function changes to cosine, so $-\cos\theta$.
Revise: Trigonometry (Class 11 notes)
Answer (a): Area $=\frac12|1(3-4)+2(4-2)+3(2-3)|=\frac12|-1+4-3|=0$ (the points are collinear).
Revise: Analytic geometry (Class 11 notes)
Answer (c): Slope $=\tan135^\circ=-1$ and $c=-3$, so $y=-x-3$, i.e. $x+y+3=0$.
Revise: Analytic geometry (Class 11 notes)
Answer (a): The polar of $(h,k)$ is $ky=2a(x+h)$, i.e. $y=\frac{2a}{k}x+\frac{2ah}{k}$. Matching gives $k=\frac{2a}{m}$ and $h=\frac{c}{m}$.
Revise: Analytic geometry (Class 12 notes)
Answer (d): $\frac{d(\sin\theta)}{d(\cos\theta)}=\frac{\cos\theta}{-\sin\theta}=-\cot\theta$.
Revise: Calculus (Class 11 notes)
Answer (d): $(A+A^T)^T=A^T+A=A+A^T$, so it is symmetric.
Revise: Algebra (Class 11 notes)
Answer (b): Input/output devices connect the computer with the outside world.
Revise: Computer System (Class 11 notes)
Answer (d): Scanning devices read data directly from source documents.
Revise: Computer System (Class 11 notes)
Answer (b): A digitizer (graphics tablet) converts drawings and maps into digital form.
Revise: Computer System (Class 11 notes)
Answer (a): A web client requests and accesses resources from a server.
Revise: Concept of Network and Data Communication (Class 12 notes)
Answer (d): Machine language consists of binary instructions the CPU executes directly.
Revise: Programming Concepts and Logic (Class 11 notes)
Answer (a): The personal assistance package handles personal information such as contacts and schedules.
Revise: Application Package (Class 11 notes)
Answer (c): Time sharing let many users share one computer through terminals, starting computer communication.
Revise: Computer System (Class 11 notes)
Answer (a): Time sharing connects many dumb terminals to one central computer.
Revise: Computer Software and Operating System (Class 11 notes)
Answer (c): Telnet provides remote login to another computer.
Revise: Concept of Network and Data Communication (Class 12 notes)
Answer (b): A web browser such as Google Chrome opens websites.
Revise: Web Technology I (Class 11 notes)
Answer (c): Laser printers give high resolution output with fine detail among the options.
Revise: Computer System (Class 11 notes)
Answer (a): Disks let the head jump straight to any location, which is direct access.
Revise: Computer System (Class 11 notes)
Answer (b): Mosaic was the first widely used graphical web browser.
Revise: Web Technology I (Class 11 notes)
Answer (c): BIOS stands for Basic Input Output System.
Revise: Computer System (Class 11 notes)
Answer (b): Mainframes are nicknamed big iron.
Revise: Computer System (Class 11 notes)
Answer (d): Routers sit at the network edge and filter traffic, so firewall rules are configured there.
Revise: Concept of Network and Data Communication (Class 12 notes)
Answer (c): UTP cables used in Ethernet LANs end in RJ45 connectors.
Revise: Concept of Network and Data Communication (Class 12 notes)
Answer (d): Thousands of components on a chip is large scale integration (LSI).
Revise: Computer System (Class 11 notes)
Answer (c): A modem modulates digital data to analog signals and demodulates the reverse.
Revise: Concept of Network and Data Communication (Class 12 notes)
Answer (b): Tapes must be read in order, so access is sequential.
Revise: Computer System (Class 11 notes)
Answer (c): Micro computers are the smallest, built around a microprocessor.
Revise: Computer System (Class 11 notes)
Answer (b): $617=512+64+32+8+1$, giving $1001101001_2$.
Revise: Number System and Boolean Logic (Class 11 notes)
Answer (c): Group in fours: 1011 1010 0011 gives B, A, 3.
Revise: Number System and Boolean Logic (Class 11 notes)
Answer (d): Highest is $11111_2=2^5-1=31$.
Revise: Number System and Boolean Logic (Class 11 notes)
Answer (d): BCD uses 4 bits per decimal digit, which is not listed.
Revise: Number System and Boolean Logic (Class 11 notes)
Answer (b): RAM loses its contents when power is off, so it is volatile.
Revise: Computer System (Class 11 notes)
Answer (a): The CPU does all processing and control.
Revise: Computer System (Class 11 notes)
Answer (b): UNIVAC is the Universal Automatic Computer.
Revise: Computer System (Class 11 notes)
Answer (d): User account names are changed from the Control Panel.
Revise: Computer Software and Operating System (Class 11 notes)
Answer (c): Display properties (desktop icon settings) lets you show My Computer.
Revise: Computer Software and Operating System (Class 11 notes)
Answer (a): MS Excel is the spreadsheet program.
Revise: Application Package (Class 11 notes)
Answer (c): Notepad saves plain text as .txt.
Revise: Computer Software and Operating System (Class 11 notes)
Answer (d): PowerPoint is the presentation software.
Revise: Application Package (Class 11 notes)
Answer (b): PowerPoint is for presentations, the others edit or draw images.
Revise: Application Package (Class 11 notes)
Answer (c): All 7 letters are distinct, so arrangements $=7!=5040$.
Revise: Algebra (Class 12 notes)
Answer (c): $0.8x=3$, so $x=3.75$.
Revise: Algebra (Class 11 notes)
Answer (b): $\sqrt{96/k}=2\sqrt6$, squaring gives $96/k=24$, so $k=4$.
Revise: Algebra (Class 11 notes)
Answer (b): One favourable face out of six equally likely faces.
Revise: Statistics and Probability (Class 11 notes)
Answer (c): $(p+r)/2=q$, which is odd, so the statement that it is even is false. The others hold: $p+q$ even, sum of three odds odd, $(p+q)/2=p+1$ even.
Revise: Algebra (Class 11 notes)
Answer (d): The correct spelling is affidavit.
Revise: Vocabulary and Word Formation (Class 11 notes)
Answer (d): $9(a-b)=36$ gives $a-b=4$ only, so the sum is not fixed (e.g. 51 gives 6, 73 gives 10) and none of the listed sums is forced.
Revise: Algebra (Class 11 notes)
Answer (c): Differences repeat as -2, -2, -3: after 28 comes 26 then 24.
Revise: Algebra (Class 11 notes)
Answer (d): The management of a private limited company rests with its directors.
Answer (c): Sun is a source of light, as fire is a source of heat.
Answer (a): Rani Pokhari in Kathmandu was built by King Pratap Malla in memory of his son.
Answer (b): Digit sums: 3471 (15), 5286 (21), 5340 (12), 7347 (21), 9276 (24) are multiples of 3 but not 9; the rest sum to 9 or 18. That is 5 numbers.
Revise: Algebra (Class 11 notes)
Answer (a): Grouping in fours from the right and padding, the intended 16-bit string $1010,1001,1101,0001$ gives A, 9, D, 1, so A9D1. The printed string is missing one 0 (a misprint).
Revise: Number System and Boolean Logic (Class 11 notes)
Answer (c): Only option c follows the life stages in order (reverse, from old to infant).
Answer (b): Nepal got its first computer, an IBM 1401, in 1971 for the census.
Revise: Computer System (Class 11 notes)
Answer (b): Three people each 3 years younger: $80-3\times3=71$.
Revise: Algebra (Class 11 notes)
Answer (a): With Abhay's speed $v$: $\frac{30}{v}-\frac{30}{2v}=2+1=3$, so $\frac{15}{v}=3$ and $v=5$ kmph.
Revise: Algebra (Class 11 notes)
Answer (d): A bristle is a part of a brush, as a key is a part of a piano.
Answer (d): Treaties exist for fisheries, whaling and ocean pollution.
Answer (b): Normal body temperature is about $37^\circ C$ ($98.6^\circ F$).
Answer (c): The malaria parasite infects red blood cells and enlarges the spleen, the organ typically affected.
Revise: Microbial Diseases (Class 12 notes)
Answer (c): Vitamin A is needed for vision; deficiency causes night blindness.
Revise: Human Health and Disorders (Class 12 notes)
Answer (b): The scan prints 'divisible by 72', which gives only one number; the options fit 'divisible by 7': 14, 21, ..., 84 is $\frac{84-14}{7}+1=11$ numbers.
Revise: Algebra (Class 11 notes)
Answer (a): Tribhuvan Rajpath (Kathmandu to Raxaul) was the first highway.