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 ] :
The maximum volume of a cone that can be carved out of a solid hemisphere of radius r is:
In a negatively skewed distribution, the correct inequality is:
If A = {2, 4, 6} and B = {1, 3, 5}, then A and B are:
(a,+∞)={x| x>a} is
Find the compound interest on Rs. 25000 in 2 years at 4% per annum. The interest being compounded half yearly.
Reasoning [ Question No: 6 To 10 ] :
Direction for [ Question No: 6 To 6 ] :
A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and re-arrangement.
Input : suggestion 25 intimation at 83 want 52 tuner
Step I : 25 suggestion intimation at 83 want 52 tuner
Step II : 25 want suggestion intimation at 83 52 tuner
Step III : 25 want 52 suggestion intimation at 83 tuner
Step IV : 25 want 52 tuner suggestion intimation at 83
Step V : 25 want 52 tuner 83 suggestion intimation at
As per the rules followed in the above steps, Find out in each of the following questions the appropriate step for the given input.
Input : stabber house 38 65 all mead 85 58
How many steps will be required to complete the re-arrangement?
Direction for [ Question No: 7 To 7 ] :
Each question given below consists of a statement, followed by two arguments numbered I and II. You have to decide which of the arguments is a 'strong' argument and which is a 'weak' argument.
Give answer:
- (A) If only argument I is strong
- (B) If only argument II is strong
- (C) If either I or II is strong
- (D) If neither I nor II is strong and
- (E) If both I and II are strong.
Statement: Should Indian scientists working abroad be called back to India?
Arguments:
1. Yes. They must serve the motherland first and forget about discoveries, honours, facilities and all.
2. No. We have enough talent; let them stay where they want.
The run of numbers below stops one term short of where it should. Establish what governs the terms and give the one that comes next.
15, 27, 39, 51, ?
The weights of 4 boxes are 20, 30, 50 and 70 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once?
One morning after sunrise, Vimal started to walk. During this walking he met Stephen who was coming from opposite direction. Vimal watch that the shadow of Stephen to the right of him (Vimal). To Which direction Vimal was facing?
English Language [ Question No: 11 To 13 ] :
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.
Direction for [ Question No: 12 To 12 ] :
In questions given below out of four alternatives, choose the one which can be substituted for the given word/sentence.
Direction for [ Question No: 13 To 13 ] :
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: 14 To 14 ] :
14.4 modem should transmit _____ bits per second
General Awareness / General Knowledge (GK) [ Question No: 15 To 20 ] :
What is scientific name of "Onion"?
Who was the founder of Madras ?
Day and night are caused by
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 5 ] :
The maximum volume of a cone that can be carved out of a solid hemisphere of radius r is:
Your Answer : (Not Answered)
Correct Answer : C
The maximum volume is \(\frac{1}{3}\pi r^{3}\).
The largest cone that fits in a solid hemisphere of radius r has its base on the flat face of radius r and its height equal to r.
\[ V=\frac{1}{3}\pi r^{2}\cdot r=\frac{1}{3}\pi r^{3} \]
\(\frac{2}{3}\pi r^{3}\) is the volume of the hemisphere itself, and \(\frac{4}{3}\pi r^{3}\) is a full sphere.
The cone with the greatest volume has its base on the flat face of the hemisphere and its apex at the top of the curved surface, which makes the height equal to the radius. A hemisphere has volume 2/3 pi r cubed, so the cone is exactly half of it: 1/3 pi r cubed.
In a negatively skewed distribution, the correct inequality is:
Your Answer : (Not Answered)
Correct Answer : A
In a negatively (left) skewed distribution, the tail is on the left side. The extreme low values pull the mean to the left.
The order of the central tendencies is: Mean < Median < Mode.
Conversely, in a positively skewed distribution, the order is Mode < Median < Mean.
If A = {2, 4, 6} and B = {1, 3, 5}, then A and B are:
Your Answer : (Not Answered)
Correct Answer : D
Disjoint sets: Two sets are disjoint if they have no elements in common. A ∩ B = ∅. This is true here.
Equivalent sets: Two sets are equivalent if they have the same number of elements (same cardinality). n(A) = 3 and n(B) = 3. This is also true.
Equal sets: Two sets are equal if they contain the exact same elements. This is false.
Since both B and C are correct statements, the answer is D.
(a,+∞)={x| x>a} is
Your Answer : (Not Answered)
Correct Answer : C
Read the two features separately.
The parenthesis at \( a \) excludes the endpoint (\( x > a \)), so the interval is open. It runs to \( +\infty \) with no upper endpoint, so it is unbounded.
Hence open and unbounded.
Find the compound interest on Rs. 25000 in 2 years at 4% per annum. The interest being compounded half yearly.
Your Answer : (Not Answered)
Correct Answer : C
\[ A = P\left(1 + \frac{R}{100}\right)^{n}, \qquad \text{CI} = A - P, \qquad \text{SI} = \frac{PRn}{100} \]
Half-yearly compounding halves the rate and doubles the number of periods.
\[ \text{rate} = \frac{4}{2} = 2\% \text{ per half-year}, \qquad n = 2 \times 2 = 4 \]
\[ A = 25000 \times (1.02)^{4} = 25000 \times 1.08243216 = 27{,}060.804 \]
\[ \text{CI} = 27060.804 - 25000 = \text{Rs. } 2060.804 \]
Annual compounding at 4% would give only Rs. 2040 - compounding more often always earns a little more.
Reasoning [ Question No: 6 To 10 ] :
Direction for [ Question No: 6 To 6 ] :
A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and re-arrangement.
Input : suggestion 25 intimation at 83 want 52 tuner
Step I : 25 suggestion intimation at 83 want 52 tuner
Step II : 25 want suggestion intimation at 83 52 tuner
Step III : 25 want 52 suggestion intimation at 83 tuner
Step IV : 25 want 52 tuner suggestion intimation at 83
Step V : 25 want 52 tuner 83 suggestion intimation at
As per the rules followed in the above steps, Find out in each of the following questions the appropriate step for the given input.
Input : stabber house 38 65 all mead 85 58
How many steps will be required to complete the re-arrangement?
Your Answer : (Not Answered)
Correct Answer : A
Input : stabber house 38 65 all mead 85 58
Step I : 38 stabber house 65 all mead 85 58
Step II : 38 stabber 58 house 65 all mead 85
Step III : 38 stabber 58 mead house 65 all 85
Step IV : 38 stabber 58 mead house 65 85 all
Direction for [ Question No: 7 To 7 ] :
Each question given below consists of a statement, followed by two arguments numbered I and II. You have to decide which of the arguments is a 'strong' argument and which is a 'weak' argument.
Give answer:
- (A) If only argument I is strong
- (B) If only argument II is strong
- (C) If either I or II is strong
- (D) If neither I nor II is strong and
- (E) If both I and II are strong.
Statement: Should Indian scientists working abroad be called back to India?
Arguments:
1. Yes. They must serve the motherland first and forget about discoveries, honours, facilities and all.
2. No. We have enough talent; let them stay where they want.
Your Answer : (Not Answered)
Correct Answer : D
Clearly, every person must be free to work wherever he wants and no compulsion should be made to confine one to one's own country. So, argument I is vague. However, talented scientists can be of great benefit to the nation and some alternatives as special incentives or better prospects may be made available to them to retain them within their motherland. So, argument II also does not hold.
The run of numbers below stops one term short of where it should. Establish what governs the terms and give the one that comes next.
15, 27, 39, 51, ?
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: 63
Every gap is the same: the differences run 12, 12, 12, so the common difference is 12. Applying it once more to the final term, 51 + 12 gives 63. As a check, subtracting 12 from the answer returns 51, the term before it, and repeating that recovers the whole series. Checking the proposed answer against the rule from the first term forward is the cheapest way to catch an error.
The weights of 4 boxes are 20, 30, 50 and 70 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once?
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: 160
The possible totals are the four weights singly (20, 30, 50, 70), in pairs (50, 70, 80, 90, 100, 120), in threes (100, 120, 140, 150) and all together (170). 160 appears nowhere among them, so it cannot be made.
One morning after sunrise, Vimal started to walk. During this walking he met Stephen who was coming from opposite direction. Vimal watch that the shadow of Stephen to the right of him (Vimal). To Which direction Vimal was facing?
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: South
In the morning the sun is in the east, so every shadow points west. Stephen’s shadow ran westward and fell to Vimal’s right, so west was on Vimal’s right hand, which puts him facing south.
English Language [ Question No: 11 To 13 ] :
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.
Your Answer : (Not Answered)
Correct Answer : C
It should read to refrain from.
The sentence says his health is bad, so the doctor's advice must be to give up smoking. Not to refrain from means to carry on smoking, which reverses the sense.
Direction for [ Question No: 12 To 12 ] :
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 incorrigible.
Incorrigible means beyond correction, from the Latin corrigere. Incurable applies to a disease, hardened describes a settled attitude, and invulnerable means impossible to wound.
Direction for [ Question No: 13 To 13 ] :
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 : C
It is pernicious.
Noxious means harmful or poisonous, and pernicious means having a harmful effect, often gradually. Soothe and healing are its opposites.
Computer Awareness [ Question No: 14 To 14 ] :
14.4 modem should transmit _____ bits per second
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: 14,400-15,000
A modem's speed is quoted in bits per second, and 14.4 is shorthand for 14,400 bps - the k for kilo being dropped in speech.
General Awareness / General Knowledge (GK) [ Question No: 15 To 20 ] :
What is scientific name of "Onion"?
Your Answer : (Not Answered)
Correct Answer : B
It is Allium cepa.
Allium is the onion genus, holding garlic, leek, shallot and chive as well. Psidium guajava is guava, Daucus carota carrot and Mangifera indica mango.
Your Answer : (Not Answered)
Correct Answer : B
206 national Olympic committees took part in the 2016 Rio Olympics, along with a refugee team and independent athletes.
About 11,200 athletes competed in 306 events across 28 sports.
Who was the founder of Madras ?
Your Answer : (Not Answered)
Correct Answer : A
It was Francis Day.
He obtained the strip of coast from the Nayak of Chandragiri in 1639 and built Fort St George there, around which Madras grew - the first English fortified settlement in India.
Day and night are caused by
Your Answer : (Not Answered)
Correct Answer : D
Correct answer: The rotation of the Earth on its axis
Day and night result from the Earth rotating on its axis, once in about 24 hours, so that any given place is carried alternately into and out of sunlight. It is worth keeping the three motions and their effects apart, because questions of this kind rely on confusing them. Rotation on the axis gives day and night. Revolution around the Sun, taking a year, combined with the axial tilt, gives the seasons and the changing length of day. The tilt alone does not cause day and night - a planet with no tilt at all would still have them. The Earth rotates west to east, which is why the Sun appears to rise in the east. Its equatorial surface speed is about 1,670 km per hour. The Moon’s orbit governs the phases of the Moon and the tides, not the daily cycle of light.
Your Answer : (Not Answered)
Correct Answer : A
Both statements are the core of Von Thunen's agricultural location theory (1826), which explains land use as concentric rings around a market: transport cost rises with distance, so intensive and perishable production stays close in and extensive production moves out.
Your Answer : (Not Answered)
Correct Answer : C
The Planning Commission was constituted in 1950.
It was set up in March 1950 by a Cabinet resolution, with the Prime Minister as chairman, and prepared the First Five Year Plan for 1951-56. It had no constitutional or statutory basis, which is why it could be replaced by executive decision in 2015.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20