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 4 ] :
A function, \(\lambda\), is defined by
\[ \lambda(p,q) = \begin{cases} (p-q)^{2}, & \text{if } p \geq q, \\ p+q, & \text{if } p \lt q. \end{cases} \]
The value of the expression \(\frac{\lambda(-(-3+2),(-2+3))}{(-(-2+1))}\) is:
Circles \(C_{1}\), \(C_{2}\), and \(C_{3}\), with centers \(O_{1}\), \(O_{2}\), and \(O_{3}\), and radii \(r_{1}\), \(r_{2}\), and \(r_{3}\), respectively, touch each other as shown in the following figure. Given \(r_{1} = 2\) cm, \(r_{2} = 1\) cm and the angle \(\angle O_{1}O_{3}O_{2}\) is 90°, \(r_{3} =\) _____ cm.
[In the figure each circle touches the other two externally: \(C_{1}\) and \(C_{2}\) touch side by side, \(C_{3}\) sits above the point where they meet, and \(O_{3}\) is joined to \(O_{1}\) and to \(O_{2}\) with a right angle marked at \(O_{3}\).]
A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
What value will replace the question mark in the following equations ?
(i) 5172.49 + 378.352 + ? = 9318.678 (ii) ? − 7328.96 = 5169.38
Reasoning [ Question No: 5 To 7 ] :
Direction for [ Question No: 5 To 5 ] :
In the following question @, #, %, * and $ are used according to following meaning
‘P @ Q’ means,’P is neither smaller nor equal to Q ‘
‘P # Q’ means,’P is not smaller than Q’
‘P % Q’ means,’P is not greater than Q’
‘P * Q’ means,’P is neither smaller nor greater than Q’
‘P $ Q’ means,’P is neither greater nor equal to Q’
Now according to the following statement, if they are true, judge their conclusion I, II and III follow definitely true.
Statements
B@D ,D%F ,F#H
Conclusions
I.F@B II.H*D III.H%B
Direction for [ Question No: 6 To 6 ] :
In each question below is given a statement followed by three assumptions numbered I, II and III. You have to consider the statement and the following assumptions, decide which of the assumptions is implicit in the statement and choose your answer accordingly.
Statement: "Fly with us and experience the pleasure of flying."- An advertisement by an airlines.
Assumptions:
1. More passengers may be attracted to travel by the airline after reading the advertisement.
2. People generally may prefer an enjoyable flight.
3. Other airlines may not be offering the same facilities
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statement:
I. All poets are daydreamers.
II. All painters are day dreamers.
Conclusion:
I. All painters are poets.
II. Some daydreamers are not painters.
English Language [ Question No: 8 To 11 ] :
Direction for [ Question No: 8 To 8 ] :
Fill in the blanks with appropriate word.
The skin’s worst enemy is the sun. If you avoid (1) you can (2) to prolong the young and (3) skin. The sun (4) deprive the skin of (5) hastening the appearance of (6) line and wrinkles that (7) is all about. It is (8) responsible for many skin (9) like pigmentation, discoloration, freckles and (10) skin cancer. So, protect the skin with a sunscreen and moisturize it daily.
Which word best fits blank (2)?
Direction for [ Question No: 9 To 9 ] :
In the following section the sentences have been given in Direct or Indirect speech. From the given alternatives, choose the most appropriate sentence that best suits the given sentence in Indirect or Direct speech.
He said to me, “Can you do these sums for me?”
Direction for [ Question No: 10 To 10 ] :
In questions given below out of four alternatives, choose the one which can be substituted for the given word/sentence.
Direction for [ Question No: 11 To 11 ] :
In each of the following questions, out of the given alternatives,choose the one which best expresses the meaning of the given word.
Computer Awareness [ Question No: 12 To 15 ] :
Which language is the set of rules that tells the computer what operation to perform?
Whenever you have a hardware resource conflict, it will more likely be an IRQ conflict rather than an i/o conflict because:
The first generation of computers was based on which technology?
In MS Word, which of these is a valid way to select a whole paragraph with the mouse?
General Awareness / General Knowledge (GK) [ Question No: 16 To 20 ] :
The State Human Rights Commission of Rajasthan can inquire into violation of human rights in respect of subjects mentioned in :
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 4 ] :
A function, \(\lambda\), is defined by
\[ \lambda(p,q) = \begin{cases} (p-q)^{2}, & \text{if } p \geq q, \\ p+q, & \text{if } p \lt q. \end{cases} \]
The value of the expression \(\frac{\lambda(-(-3+2),(-2+3))}{(-(-2+1))}\) is:
Your Answer : (Not Answered)
Correct Answer : B
The value is 0.
Simplify the arguments first: -(-3 + 2) = 1 and (-2 + 3) = 1. So the numerator is \(\lambda(1, 1)\), and since p = q the first case applies:
\[ \lambda(1,1) = (1 - 1)^{2} = 0 \]
The denominator is -(-2 + 1) = 1, so the expression is 0/1 = 0.
The trap is the case split: with p = q the rule 'if p ≥ q' applies, so the square is used, not the sum. Using the sum by mistake would give 2, which is not offered, and none of -1, 16/3 or 16 can arise once both arguments are seen to equal 1.
Circles \(C_{1}\), \(C_{2}\), and \(C_{3}\), with centers \(O_{1}\), \(O_{2}\), and \(O_{3}\), and radii \(r_{1}\), \(r_{2}\), and \(r_{3}\), respectively, touch each other as shown in the following figure. Given \(r_{1} = 2\) cm, \(r_{2} = 1\) cm and the angle \(\angle O_{1}O_{3}O_{2}\) is 90°, \(r_{3} =\) _____ cm.
[In the figure each circle touches the other two externally: \(C_{1}\) and \(C_{2}\) touch side by side, \(C_{3}\) sits above the point where they meet, and \(O_{3}\) is joined to \(O_{1}\) and to \(O_{2}\) with a right angle marked at \(O_{3}\).]
Your Answer : (Not Answered)
Correct Answer : A
The radius is \(r_{3} = \frac{1}{2}(-3 + \sqrt{17})\) cm.
When two circles touch externally, the distance between their centres is the sum of their radii. So \(O_{1}O_{2} = 2 + 1 = 3\), \(O_{1}O_{3} = 2 + r_{3}\) and \(O_{2}O_{3} = 1 + r_{3}\). The right angle at \(O_{3}\) makes \(O_{1}O_{2}\) the hypotenuse of triangle \(O_{1}O_{3}O_{2}\):
\[ \begin{aligned} (2 + r)^{2} + (1 + r)^{2} &= 3^{2} \\ 2r^{2} + 6r + 5 &= 9 \\ r^{2} + 3r - 2 &= 0 \end{aligned} \]
\[ \begin{aligned} r &= \frac{-3 \pm \sqrt{9 + 8}}{2} \\ &= \frac{-3 \pm \sqrt{17}}{2} \end{aligned} \]
A radius must be positive, so \(r_{3} = (-3 + \sqrt{17})/2 \approx 0.56\) cm, which fits the small circle in the figure. \((3 + \sqrt{17})/2\) has the wrong sign on 3, \((-2 + \sqrt{17})/2\) has the wrong linear coefficient, and \((-3 + 2\sqrt{17})/2 \approx 2.6\) would make \(C_{3}\) larger than \(C_{1}\).
A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Your Answer : (Not Answered)
Correct Answer : B
The dividend is 9% of the Rs. 20 face value:
\[ 0.09 \times 20 = \text{Rs. } 1.80 \text{ per share} \]
For that to be 12% of the price paid:
\[ \text{market value} = \frac{1.80}{0.12} = \text{Rs. } 15 \]
To earn a higher yield than the dividend rate, the share must be bought below par - which is why the answer is under Rs. 20.
What value will replace the question mark in the following equations ?
(i) 5172.49 + 378.352 + ? = 9318.678 (ii) ? − 7328.96 = 5169.38
Your Answer : (Not Answered)
Correct Answer : B
Isolate the question mark in each equation.
(i)
\[ ? = 9318.678 - 5172.49 - 378.352 = 3767.836 \]
(ii)
\[ ? = 5169.38 + 7328.96 = 12498.34 \]
Note the direction of each operation: the first needs subtraction because the unknown sits on the adding side, and the second needs addition because it is being subtracted from.
Reasoning [ Question No: 5 To 7 ] :
Direction for [ Question No: 5 To 5 ] :
In the following question @, #, %, * and $ are used according to following meaning
‘P @ Q’ means,’P is neither smaller nor equal to Q ‘
‘P # Q’ means,’P is not smaller than Q’
‘P % Q’ means,’P is not greater than Q’
‘P * Q’ means,’P is neither smaller nor greater than Q’
‘P $ Q’ means,’P is neither greater nor equal to Q’
Now according to the following statement, if they are true, judge their conclusion I, II and III follow definitely true.
Statements
B@D ,D%F ,F#H
Conclusions
I.F@B II.H*D III.H%B
Your Answer : (Not Answered)
Correct Answer : D
Correct answer: None are true
In this set the code reads: \(@\) is “neither smaller nor equal”, so \(>\); \(\#\) is “not smaller than”, so \(\ge\); \(\%\) is “not greater than”, so \(\le\); \(*\) is “neither smaller nor greater”, so \(=\); and \(\$\) is “neither greater nor equal”, so \(<\). The statements become \( B > D \), \( D \le F \) and \( F \ge H \).
The chain breaks at D. B stands above D and F stands above D, so the relation reverses direction there and nothing carries across it - and H hangs below F, on the far side of the same break.
I. \( F @ B \) asks whether \( F > B \). Both merely stand above D. With \( D = 1 \), \( B = 2 \) and \( F = 9 \) works, and so does \( B = 9 \) and \( F = 2 \). Does not follow.
II. \( H * D \) asks whether \( H = D \). H is at or below F, and D is at or below F, which permits them to be equal but does not require it. Does not follow.
III. \( H \% B \) asks whether \( H \le B \). H reaches B only through F and D, and the direction reverses at D. Does not follow.
None of the three is definite.
Direction for [ Question No: 6 To 6 ] :
In each question below is given a statement followed by three assumptions numbered I, II and III. You have to consider the statement and the following assumptions, decide which of the assumptions is implicit in the statement and choose your answer accordingly.
Statement: "Fly with us and experience the pleasure of flying."- An advertisement by an airlines.
Assumptions:
1. More passengers may be attracted to travel by the airline after reading the advertisement.
2. People generally may prefer an enjoyable flight.
3. Other airlines may not be offering the same facilities
Your Answer : (Not Answered)
Correct Answer : E
Clearly, the advertisement is meant to lure the passengers into travelling by the airline. So, I is implicit. Also, the advertisement promises an enjoyable flight. So, II is also implicit. The facilities offered by other airlines cannot be ascertained from the statement. So, III is not implicit.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statement:
I. All poets are daydreamers.
II. All painters are day dreamers.
Conclusion:
I. All painters are poets.
II. Some daydreamers are not painters.
Your Answer : (Not Answered)
Correct Answer : B
Both statements are universal: all poets and all painters lie inside the set of daydreamers. The two sets, poets and painters, are both subsets of daydreamers but nothing connects them to each other. Conclusion I, all painters are poets, does not follow, as the painters circle can lie outside the poets circle. Conclusion II, some daydreamers are not painters, is possible when there are poets who are not painters, but it is not certain, since the painters may be all the daydreamers. A conclusion that is only possible does not follow. So no conclusion emerges, which is the second option.
English Language [ Question No: 8 To 11 ] :
Direction for [ Question No: 8 To 8 ] :
Fill in the blanks with appropriate word.
The skin’s worst enemy is the sun. If you avoid (1) you can (2) to prolong the young and (3) skin. The sun (4) deprive the skin of (5) hastening the appearance of (6) line and wrinkles that (7) is all about. It is (8) responsible for many skin (9) like pigmentation, discoloration, freckles and (10) skin cancer. So, protect the skin with a sunscreen and moisturize it daily.
Which word best fits blank (2)?
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: Help
Help to prolong is the natural pairing, and it keeps the claim modest - avoiding the sun contributes to young skin rather than guaranteeing it. Aid and assist are not used with a to-infinitive in this way, and make to prolong is not English.
Direction for [ Question No: 9 To 9 ] :
In the following section the sentences have been given in Direct or Indirect speech. From the given alternatives, choose the most appropriate sentence that best suits the given sentence in Indirect or Direct speech.
He said to me, “Can you do these sums for me?”
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: He asked me if I could do those sums for him.
Can becomes could, these sums becomes those sums, and me becomes him. Each option leaves one of the three unchanged.
Direction for [ Question No: 10 To 10 ] :
In questions given below out of four alternatives, choose the one which can be substituted for the given word/sentence.
Your Answer : (Not Answered)
Correct Answer : B
It is anthropology.
Anthropology studies human beings, including their physical evolution, from the Greek anthropos. Archaeology studies material remains, ethnology compares cultures and chronology orders events in time.
Direction for [ Question No: 11 To 11 ] :
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 : D
It is unadorned.
Bald means hairless, and figuratively plain and without embellishment - a bald statement. Hirsute, meaning hairy, is its literal opposite.
Computer Awareness [ Question No: 12 To 15 ] :
Which language is the set of rules that tells the computer what operation to perform?
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: Programming language
A programming language is the set of rules - syntax and semantics - by which instructions are expressed to a computer. A command language issues single commands to an operating system, and a procedural language is one kind of programming language rather than the general term.
Whenever you have a hardware resource conflict, it will more likely be an IRQ conflict rather than an i/o conflict because:
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: there are a lot more I/O addresses than IRQs.
A PC has hundreds of free I/O addresses but only sixteen interrupt lines, several of them already taken by the keyboard, timer, floppy and disk controllers. Scarcity is what makes IRQ clashes the common case.
The first generation of computers was based on which technology?
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: Vacuum tubes
First generation machines - ENIAC, EDVAC, UNIVAC I - switched with vacuum tubes, which is why they were enormous, drew great quantities of power and failed often. Transistors came with the second generation, integrated circuits with the third and microprocessors with the fourth.
In MS Word, which of these is a valid way to select a whole paragraph with the mouse?
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: Triple-click anywhere within it
Triple-clicking anywhere inside a paragraph selects the whole of it. The mouse selection methods form a consistent set worth learning. Double-click selects a word. Triple-click selects a paragraph. In the left margin - the selection bar, where the pointer becomes a right-leaning arrow - a single click selects a line, a double-click selects a paragraph, and a triple-click selects the entire document. Holding Shift while clicking extends the selection from the cursor to that point, which is the most efficient way to select a long passage. Holding Ctrl while dragging selects several separate pieces of text at once, so scattered items can be formatted together. Holding Alt while dragging selects a rectangular block irrespective of line boundaries - useful for stripping a column of numbers from pasted text. The right mouse button opens the context menu and selects nothing.
General Awareness / General Knowledge (GK) [ Question No: 16 To 20 ] :
The State Human Rights Commission of Rajasthan can inquire into violation of human rights in respect of subjects mentioned in :
Your Answer : (Not Answered)
Correct Answer : D
It can inquire into subjects in the State list and concurrent list (List II and List III).
Under the Protection of Human Rights Act, 1993, a State Human Rights Commission may inquire into violations of human rights only in respect of matters relatable to the entries in List II (State List) and List III (Concurrent List) of the Seventh Schedule.
Matters in the Union List fall to the National Human Rights Commission. Options B and C each name only one of the two lists.
Your Answer : (Not Answered)
Correct Answer : C
A computer that has gradually slowed is most likely infected with adware or spyware.
Such software runs continuously in the background, consuming processor time, memory and network bandwidth. A processor does not wear out and produce slower results; it either works or it does not.
Your Answer : (Not Answered)
Correct Answer : B
It was Mahatma Gandhi.
He said it in the Quit India speech at Gowalia Tank in Bombay on 8 August 1942, the same speech that gave the movement its mantra, do or die. He was arrested before dawn the next morning.
Your Answer : (Not Answered)
Correct Answer : A
The Great Barrier Reef is in Australia.
It stretches some 2,300 km along the Queensland coast, is made of nearly 3,000 individual reefs, and is the largest structure built by living organisms - visible from space. It was inscribed by UNESCO in 1981.
Your Answer : (Not Answered)
Correct Answer : D
They include all of these.
India's foreign exchange reserves comprise foreign currency assets, gold, Special Drawing Rights, and the reserve tranche position with the IMF. Foreign currency assets are much the largest component.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20