Instruction
- Total number of questions : 20
- Time allotted : 30:00 Minutes:Seconds.
- Each question carry 1 mark, no negative marks.
- DO NOT refresh the page.
- All the best
Quantitative Aptitude [ Question No: 1 To 5 ] :
If \(\frac{1}{2(2x+3y)} + \frac{12}{7(3x-2y)} = \frac{1}{2}\) and \(\frac{7}{2x+3y} + \frac{4}{3x-2y} = 2\) then values of \(x\) and \(y\) are respectively.
If the shadow of a tree is 16 meter when elevation of Sun is 60°, then the height of the tree is :
Let x be the median of the data
13, 8, 15, 14, 17, 9, 14, 16, 13, 17, 14, 15, 16, 15, 14.
If 8 is replaced by 18, then the median of the data is y. What is the sum of the values of x and y ?
The number of zeros at the end of \((2!)^{2!} \times (5!)^{5!}\) is:
A trekking group is to be formed having 6 members. They are to be selected from 3 girls, 4 boys and 5 teachers. In how many ways can the group be formed so that there are 3 teachers and 3 boys or 2 girls and 4 teachers?
Reasoning [ Question No: 6 To 8 ] :
Direction for [ Question No: 6 To 6 ] :
A word and number arrangement machine when given an input line of words and numbers rearrange them following a particular rule in each step. The following is an illustration of input and rearrangement.
Input: Woolf 33 75 venter 26 nevoid desmid 17
Step 1 : 75 Woolf 33 venter 26 nevoid desmid 17
Step 2 : 75 desmid Woolf 33 venter 26 nevoid 17
Step 3 : 75 desmid 33 Woolf venter 26 nevoid 17
Step 4 : 75 desmid 33 nevoid Woolf venter 26 17
Step 5 : 75 desmid 33 nevoid 26 Woolf venter 17
Step 6 : 75 desmid 33 nevoid 26 venter Woolf 17
Step 7 : 75 desmid 33 nevoid 26 venter 17 Woolf
As per the rule followed in the following questions the appropriate step for the given input.
Input : 85 24 97 D o f 42 V.
Which of the following steps will be the last but one?
Direction for [ Question No: 7 To 7 ] :
In each question below is given a statement followed by three courses of action numbered I, II and III. You have to assume everything in the statement to be true, then decide which of the three given suggested courses of action logically follows for pursuing.
Statement: Every year thousands of eligible students do not get admission in colleges both in urban and rural areas after passing their school leaving certificate examination.
Courses of Action:
1. More colleges should be set up in both urban and rural areas.
2. The number of schools in both urban and rural areas should be reduced.
3. More schools should offer vocational courses to equip students for taking up their vocation after completing their school education.
In a certain code language, "HARD WORK PAYS" is written as "JCTF YQTM RCBU". How is "GOOD LUCK" written in the same code ?
English Language [ Question No: 9 To 17 ] :
Direction for [ Question No: 9 To 9 ] :
For each of the following words, a context is provided. From the alternatives, pick the word/phrase that is closest in meaning to the given context.
Disheveled : After long working hours, the police officer looked tired and disheveled.
Direction for [ Question No: 10 To 10 ] :
Which of phrases given below each sentence should replace the phrase printed in bold type to make the grammatically correct?
Identify the incorrect sentence or sentences:
a. Its hazardous to use a handheld cell phone while driving.
b. So many people turn to hands-free models.
c. But they are also dangerous ,says researchers,
d. Distractions, it was shown,weakens concentration.
Direction for [ Question No: 11 To 11 ] :
Which of phrases given below each sentence should replace the phrase printed in bold type to make the grammatically correct? If the sentence is correct as it is, mark 'E' as the answer.
The crops are dying; it must not had rained.
Direction for [ Question No: 12 To 12 ] :
Read each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'E'. (Ignore the errors of punctuation, if any).
In the sentence below, find the part that contains an error. If the sentence is correct as it stands, choose “No error”.
Direction for [ Question No: 13 To 13 ] :
In questions given below out of four alternatives, choose the one which can be substituted for the given word/sentence.
Use of force or threats to get someone to agree to something.
Direction for [ Question No: 14 To 14 ] :
In each of the following questions, out of the given alternatives,choose the one which best expresses the meaning of the given word.
Insert the most suitable adverb of cause and mark your answer in the response sheet.
He was late for the meeting, __________ he missed the initial proceedings of the event.
Select the most appropriate option to fill in the blanks. There can be several ______ of indoor air pollution. Tobacco smoke is one of the ______ important air pollutants in closed places. 'Passive smoking' or environmental tobacco smoke (ETS) pollution can lead to all the harmful ______ of tobacco smoking seen in the smokers in their non-smoking companions. The children of smoking parents are among the worst ______ persons.
Find the correctly spelt word:
Computer Awareness [ Question No: 18 To 20 ] :
In MS Excel, what does the Sort Warning ‘Expand the selection’ mean?
Ctrl + G is used to
Page-map table is
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 5 ] :
If \(\frac{1}{2(2x+3y)} + \frac{12}{7(3x-2y)} = \frac{1}{2}\) and \(\frac{7}{2x+3y} + \frac{4}{3x-2y} = 2\) then values of \(x\) and \(y\) are respectively.
Your Answer : (Not Answered)
Correct Answer : A
The values are \(x\) = 2, \(y\) = 1.
Put \(u = \frac{1}{2x+3y}\) and \(v = \frac{1}{3x-2y}\). The equations become
\[ \begin{aligned} \frac{u}{2} + \frac{12v}{7} &= \frac{1}{2} \\ 7u + 4v &= 2 \end{aligned} \]
Solving gives \(u = \frac{1}{7}\) and \(v = \frac{1}{4}\), so \(2x + 3y = 7\) and \(3x - 2y = 4\), whose solution is \(x = 2\), \(y = 1\).
Check directly: \(\frac{1}{14} + \frac{12}{28} = \frac{1}{2}\) and \(1 + 1 = 2\). The pair 1, 2 swaps the values, and the negative pairs make \(2x + 3y\) negative.
If the shadow of a tree is 16 meter when elevation of Sun is 60°, then the height of the tree is :
Your Answer : (Not Answered)
Correct Answer : C
The height of the tree is \(16\sqrt{3}\) meter.
The tree, its shadow and the Sun's ray form a right triangle in which the angle of elevation is 60°:
\[ \begin{aligned} \tan 60^{\circ} &= \frac{h}{16} \\ h &= 16\sqrt{3} \approx 27.7 \text{ m} \end{aligned} \]
\(16/\sqrt{3}\) is the answer for an elevation of 30°, where the tree would be shorter than its shadow. 16 m would need an elevation of 45°, and 8 m is half the shadow, which corresponds to no standard angle.
Let x be the median of the data
13, 8, 15, 14, 17, 9, 14, 16, 13, 17, 14, 15, 16, 15, 14.
If 8 is replaced by 18, then the median of the data is y. What is the sum of the values of x and y ?
Your Answer : (Not Answered)
Correct Answer : C
The sum of x and y is 29.
There are 15 values, so the median is the 8th value in order.
Original data in order: 8, 9, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 17, 17. The 8th value is 14, so x = 14.
Replacing 8 by 18: 9, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 17, 17, 18. The 8th value is now 15, so y = 15.
x + y = 14 + 15 = 29. 28 would follow if the median did not change, which forgets that removing the smallest value shifts every position by one.
The number of zeros at the end of \((2!)^{2!} \times (5!)^{5!}\) is:
Your Answer : (Not Answered)
Correct Answer : A
We evaluate the exponents first. \(2!=2\) and \(5!=120\). The expression is \((2!)^2 \times (5!)^{120}\). We need to count factors of 2 and 5. \(2! = 2\). \(5! = 120 = 2^3 \times 3 \times 5\). So the expression is \(2^2 \times (2^3 \times 3 \times 5)^{120} = 2^2 \times 2^{360} \times 3^{120} \times 5^{120} = 2^{362} \times 3^{120} \times 5^{120}\). We have 362 factors of 2 and 120 factors of 5. The number of pairs is limited by the smaller number, which is 120. So there are 120 trailing zeros.
A trekking group is to be formed having 6 members. They are to be selected from 3 girls, 4 boys and 5 teachers. In how many ways can the group be formed so that there are 3 teachers and 3 boys or 2 girls and 4 teachers?
Your Answer : (Not Answered)
Correct Answer : A
The two cases are mutually exclusive, so their counts add.
3 teachers and 3 boys:
\[ {}^{5}C_{3} \times {}^{4}C_{3} = 10 \times 4 = 40 \]
2 girls and 4 teachers:
\[ {}^{3}C_{2} \times {}^{5}C_{4} = 3 \times 5 = 15 \]
\[ 40 + 15 = 55 \]
Both cases give exactly six members, as required, and no group satisfies both conditions at once - so nothing is double-counted.
Reasoning [ Question No: 6 To 8 ] :
Direction for [ Question No: 6 To 6 ] :
A word and number arrangement machine when given an input line of words and numbers rearrange them following a particular rule in each step. The following is an illustration of input and rearrangement.
Input: Woolf 33 75 venter 26 nevoid desmid 17
Step 1 : 75 Woolf 33 venter 26 nevoid desmid 17
Step 2 : 75 desmid Woolf 33 venter 26 nevoid 17
Step 3 : 75 desmid 33 Woolf venter 26 nevoid 17
Step 4 : 75 desmid 33 nevoid Woolf venter 26 17
Step 5 : 75 desmid 33 nevoid 26 Woolf venter 17
Step 6 : 75 desmid 33 nevoid 26 venter Woolf 17
Step 7 : 75 desmid 33 nevoid 26 venter 17 Woolf
As per the rule followed in the following questions the appropriate step for the given input.
Input : 85 24 97 D o f 42 V.
Which of the following steps will be the last but one?
Your Answer : (Not Answered)
Correct Answer : D
Step I : 97 85 24 D o f 42 V.
Step II : 97 D 85 24 o f 42 V.
Step III : 97 D 85 f 24 o 42 V.
Step IV : 97 D 85 f 42 24 o V.
Step V : 97 D 85 f 42 o 24 V.
Direction for [ Question No: 7 To 7 ] :
In each question below is given a statement followed by three courses of action numbered I, II and III. You have to assume everything in the statement to be true, then decide which of the three given suggested courses of action logically follows for pursuing.
Statement: Every year thousands of eligible students do not get admission in colleges both in urban and rural areas after passing their school leaving certificate examination.
Courses of Action:
1. More colleges should be set up in both urban and rural areas.
2. The number of schools in both urban and rural areas should be reduced.
3. More schools should offer vocational courses to equip students for taking up their vocation after completing their school education.
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: Only I and III follow
The problem is more school leavers than college places, so I attacks it directly by adding places. III attacks it from the other side by giving students a route into work that does not require a college seat, which reduces the pressure. II is perverse: reducing the number of schools would reduce the number of students only by denying them schooling, which creates a larger problem than it solves.
In a certain code language, "HARD WORK PAYS" is written as "JCTF YQTM RCBU". How is "GOOD LUCK" written in the same code ?
Your Answer : (Not Answered)
Correct Answer : B
GOOD LUCK is written as IQQF NWEM.
Each letter moves two places forward in the alphabet: H to J, A to C, R to T, D to F gives JCTF for HARD, and W to Y, O to Q, R to T, K to M gives YQTM for WORK. In PAYS the P, A and S follow the same rule (R, C, U).
Applying +2 to GOOD LUCK: G to I, O to Q, O to Q, D to F gives IQQF, and L to N, U to W, C to E, K to M gives NWEM. Options with IQQU shift D wrongly, and those ending in Q shift K wrongly.
English Language [ Question No: 9 To 17 ] :
Direction for [ Question No: 9 To 9 ] :
For each of the following words, a context is provided. From the alternatives, pick the word/phrase that is closest in meaning to the given context.
Disheveled : After long working hours, the police officer looked tired and disheveled.
Your Answer : (Not Answered)
Correct Answer : C
Disheveled means untidy.
A disheveled person has messy hair and rumpled clothes; after long working hours the officer looks tired and unkempt. The word comes from the Old French deschevele, with the hair undone.
'Well-groomed' is the opposite, neat and tidy. 'Happy' and 'enthusiastic' describe mood, and they also clash with 'tired' in the same sentence.
Direction for [ Question No: 10 To 10 ] :
Which of phrases given below each sentence should replace the phrase printed in bold type to make the grammatically correct?
Identify the incorrect sentence or sentences:
a. Its hazardous to use a handheld cell phone while driving.
b. So many people turn to hands-free models.
c. But they are also dangerous ,says researchers,
d. Distractions, it was shown,weakens concentration.
Your Answer : (Not Answered)
Correct Answer : C
a and c are incorrect.
Sentence a needs the contraction with its apostrophe - it's hazardous, meaning it is. Sentence c has a space before its comma and needs the comma tight against the preceding word.
Direction for [ Question No: 11 To 11 ] :
Which of phrases given below each sentence should replace the phrase printed in bold type to make the grammatically correct? If the sentence is correct as it is, mark 'E' as the answer.
The crops are dying; it must not had rained.
Your Answer : (Not Answered)
Correct Answer : C
It should read must not have.
A deduction about the past uses must have plus the past participle - it must not have rained. Must had is impossible, since must is a modal and takes the bare infinitive.
Direction for [ Question No: 12 To 12 ] :
Read each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'E'. (Ignore the errors of punctuation, if any).
In the sentence below, find the part that contains an error. If the sentence is correct as it stands, choose “No error”.
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: who never fails
In the pattern “one of those who”, the relative pronoun refers back to the plural “those”, not to “one”, so the verb must be plural: “who never fail”. The sense is that among people who never fail to help, he is one.
Direction for [ Question No: 13 To 13 ] :
In questions given below out of four alternatives, choose the one which can be substituted for the given word/sentence.
Use of force or threats to get someone to agree to something.
Your Answer : (Not Answered)
Correct Answer : A
It is coercion.
Coercion is compelling by force or threat, from the Latin coercere, to restrain. Cajolement persuades by flattery, conviction is a firm belief or a finding of guilt, and confession is an admission.
Direction for [ Question No: 14 To 14 ] :
In each of the following questions, out of the given alternatives,choose the one which best expresses the meaning of the given word.
Your Answer : (Not Answered)
Correct Answer : B
It is excuse.
To justify is to show that something is right or reasonable, and excuse is the nearest of the four - though excusing admits a fault and justifying denies one.
Insert the most suitable adverb of cause and mark your answer in the response sheet.
He was late for the meeting, __________ he missed the initial proceedings of the event.
Your Answer : (Not Answered)
Correct Answer : A
The adverb is consequently: He was late for the meeting, consequently he missed the initial proceedings.
The second clause states the result of the first: being late caused him to miss the start. Consequently means "as a result", so it links the cause with its effect, which is what the question means by an adverb of cause.
Gradually, slowly and abruptly are adverbs of manner: they describe how something happens, not why. Put in the blank they would not connect the two clauses and the sentence would make no sense.
Select the most appropriate option to fill in the blanks. There can be several ______ of indoor air pollution. Tobacco smoke is one of the ______ important air pollutants in closed places. 'Passive smoking' or environmental tobacco smoke (ETS) pollution can lead to all the harmful ______ of tobacco smoking seen in the smokers in their non-smoking companions. The children of smoking parents are among the worst ______ persons.
Your Answer : (Not Answered)
Correct Answer : D
The right choice is sources, most, effects, affected. 'Several sources' is a countable plural, 'one of the most important' is the superlative form that the sentence needs, and 'harmful effects' needs the noun 'effects', since 'affects' is a verb. 'The worst affected persons' needs the adjective 'affected', not 'effected'. 'Many' and 'much' fail in the second blank, and 'affects' or 'effected' fail in the last two. Among the options, only the fourth keeps all four blanks grammatical: 'sources' (plural noun), 'most' (superlative), 'effects' (noun) and 'affected' (adjective).
Find the correctly spelt word:
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: Separate
The correct spelling is separate, with an a in the middle - not seperate, which is among the commonest errors in written English. The word comes from the Latin separare, built on parare, to prepare or make ready - the same root as prepare and repair. Seeing par inside the word settles the vowel. The usual mnemonic is that there is a rat in sepa rate. The related forms keep the same vowel: separation, separately, separable, inseparable. The mistake persists because the middle syllable is unstressed and reduced in speech to a neutral vowel, giving the ear no help - the same reason definitely, grammar, calendar and independent are so often misspelt.
Computer Awareness [ Question No: 18 To 20 ] :
In MS Excel, what does the Sort Warning ‘Expand the selection’ mean?
Your Answer : (Not Answered)
Correct Answer : D
Correct answer: Excel will sort the whole table rather than the selected column alone
The warning appears when a single column is selected before sorting, and Excel detects data alongside it. Expand the selection sorts the entire table, keeping each row together. Continue with the current selection sorts that column alone, leaving every other column where it is. Choosing the second option is one of the most destructive mistakes possible in a spreadsheet: names become detached from their marks, and every row is silently wrong with nothing to show it. Because the damage is invisible, it is often discovered long afterwards. The safe habit is to click a single cell inside the table before sorting and let Excel select the whole region itself, rather than selecting a column first. Formatting the data as a proper Excel Table with Ctrl + T removes the risk entirely, since a table always sorts as a unit. Merged cells prevent sorting altogether and produce a different message.
Ctrl + G is used to
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: Open Find and Replace Dialog box with activating Find Tab
Ctrl + F opens the Find and Replace dialog on the Find tab. Ctrl + H opens the same dialog on Replace and Ctrl + G on Go To.
Page-map table is
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: Used for address translation
The page map table holds one entry per virtual page, giving the frame it currently occupies together with its valid, referenced and modified bits. The memory management unit consults it on every reference to turn a virtual address into a physical one.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20