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 ] :
If 4 men can complete a work in 3 days and 3 women can complete that work in 6 days, then which one of the following is not true?
A polynomial \(\varphi(s) = a_{n}s^{n} + a_{n-1}s^{n-1} + \cdots + a_{1}s + a_{0}\) of degree \(n \gt 3\) with constant real coefficients \(a_{n}, a_{n-1}, \ldots a_{0}\) has triple roots at \(s = -\sigma\). Which one of the following conditions must be satisfied?
The perimeter of an equilateral triangle is 60 cm. What is the length of one side?
Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
Reasoning [ Question No: 5 To 8 ] :
Direction for [ Question No: 5 To 5 ] :
Select the most appropriate alternative as the answer.
While you board a train at the station, you find a suitcase beneath your seat. You would :
Direction for [ Question No: 6 To 6 ] :
Eight students A, B, C, D, E, F, G and H are planning to enjoy car racing. There are only two cars and following are the conditions :
(i). One car can accommodate maximum five and minimum four students.
(ii). A will sit in the same car in which D is sitting but H is not in the same car.
(iii). B and C can't sit in the same car in which D is sitting.
(iv). F will sit in the car of four people only alongwith A and E but certainly not with G.
Which of the following statements is superfluous for the above sitting arrangements ?
Direction for [ Question No: 7 To 7 ] :
In each of the following questions, there is a certain relationship between two given words on one side of : : and one word is given on another side of : : while another word is to be found from the given alternatives, having the same relation with this word as the words of the given pair bear.Choose the correct alternatives.
Mash : Horse : : Mast : ?
What is x squared plus x squared?
English Language [ Question No: 9 To 12 ] :
Direction for [ Question No: 9 To 9 ] :
Choose the most appropriate article/preposition to fill in the blanks.
He can play __________ flute.
Direction for [ Question No: 10 To 10 ] :
Read the passage given below and answer the questions that follow :
My home town in the mid-1970s was a laid-back place, resembling a remote rural area, except in having some amenities. Our house was almost at one end of the town. About 15 km away, there was a small village where a fair was held for a week every year during the harvest season. The village deity was worshipped by many from the places in the vicinity.
Devotees thronged the fair not only for divine blessings but also for watching street-shows and other entertainment events. Only a mud track led to the village and everyone reached there by walking or on bullock carts.
My father, an advocate by profession, was popular among the villagers. His clients from the place used to arrange bullock carts for us and a few family friends and relatives to attend the fair.
The journey would start early in the morning. We children will be in a separate cart. I used to eagerly look forward to this occasion every year as though it was a journey of a life-time and worth enjoying every minute of it. Money saved for this fair would be tucked firmly in my pockets during the journey. Whenever the cart jerked or sped away, I would hold my pockets tightly so that coins would not spill out.
The crowd at the temple in the foothill used to be highly unorganised, especially the food counter where prasadam was served. Hot and spicy puffed rice and tea made of jaggery were the delectable combination of food and beverage every devotee craved for.
Going to the temple used to be the last priority of us children. Fearing elders' wrath, we would hurriedly finish the formality of darshan.
Study the following statements :
(a) The writer would be very careful while travelling in the cart.
(b) Inspite of the jerks and jolts, the journey was enjoyable.
Direction for [ Question No: 11 To 11 ] :
Directions : Read the passage given below and answer the questions that follow by selecting the correct/most appropriate option.
Dorothy lived in the midst of the great Kansas prairies (grasslands) with Uncle Henry, who was a farmer, and Aunt Em, who was the farmer's wife. Their house was small, for the lumber to build it had to be carried by wagon from many miles afar. There were four walls, a floor and a roof, which made one room; and this room contained a rusty looking cooking stove, a cupboard for the dishes, a table, three or four chairs, and the beds.
Uncle Henry and Aunt Em had a big bed in one corner, and Dorothy a little bed in another corner. There was no garret at all, and no cellar - except a small hole dug in the ground, called a cyclone cellar, where the family could go in case one of those great whirlwinds arose, mighty enough to crush any building in its path. It was reached by a trapdoor in the middle of the floor, from which a ladder led down into the small, dark hole.
When Dorothy stood in the doorway and looked around, she could see nothing but the great gray prairie on every side. Not a tree nor a house broke the broad sweep of flat country that reached to the edge of the sky in all directions. The sun had baked the ploughed land into a gray mass, with little cracks running through it. Even the grass was not green, for the sun had burned the tops of long blades until they were the same gray colour to be seen everywhere. Once the house had been painted, but the sun blistered the paint and the rains washed it away, and now the house was as dull and gray as everything else.
Which one of the following statements is true ?
Direction for [ Question No: 12 To 12 ] :
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: 13 To 13 ] :
A file with the extension .class contains ?
General Awareness / General Knowledge (GK) [ Question No: 14 To 20 ] :
Who built the Nirmahal near Sonamura in Tripura ?
In which year British government in England decided to send a commission headed by Lord Simon to decide India's political future?
Which is the official language of "Somalia"?
“Dappu Dance” is a famous dance form of which among the following states?
The world largest producer of natural gas is:
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 4 ] :
If 4 men can complete a work in 3 days and 3 women can complete that work in 6 days, then which one of the following is not true?
Your Answer : (Not Answered)
Correct Answer : B
4 men finish the work in 3 days, so the work is 12 man-days, and 3 women in 6 days make it 18 woman-days. Then 8 men and 6 women do 8/12 + 6/18 = 1 in a day, 12 men do it in a day, and 18 women do it in a day.
6 men and 8 women do 6/12 + 8/18 = 0.944 of the work in a day, which is less than the whole, so that statement is not true, option B.
Writing each statement in man-days makes the check easy: one man does 1/12 of the work a day and one woman 1/18. For 6 men and 8 women the sum is 6/12 + 8/18 = 17/18 of the work, so the statement that they finish in one day is not true, while the other three statements add up to exactly one day.
A polynomial \(\varphi(s) = a_{n}s^{n} + a_{n-1}s^{n-1} + \cdots + a_{1}s + a_{0}\) of degree \(n \gt 3\) with constant real coefficients \(a_{n}, a_{n-1}, \ldots a_{0}\) has triple roots at \(s = -\sigma\). Which one of the following conditions must be satisfied?
Your Answer : (Not Answered)
Correct Answer : B
The condition is \(\varphi(s) = 0\), \(d\varphi/ds = 0\) and \(d^{2}\varphi/ds^{2} = 0\) at \(s = -\sigma\).
A triple root at \(s = -\sigma\) means \(\varphi(s) = (s + \sigma)^{3}q(s)\), where \(q(-\sigma) \ne 0\). Differentiating, the factor \((s + \sigma)\) survives in \(\varphi\), \(\varphi'\) and \(\varphi''\), so all three vanish at \(-\sigma\); in \(\varphi'''\) it does not, so the third derivative is in general non-zero.
The option on \(s^{3} + \sigma^{3} = 0\) is wrong: that equation has \(-\sigma\) and two complex roots, and a repeated real root says nothing about those complex points. The option with the second and fourth derivatives leaves out the first derivative, which must vanish, and adds a fourth, which need not. The option with the third derivative is wrong because a root of multiplicity exactly three is the case where the third derivative does not vanish.
The perimeter of an equilateral triangle is 60 cm. What is the length of one side?
Your Answer : (Not Answered)
Correct Answer : C
All three sides of an equilateral triangle are equal.
\[ \frac{60}{3} = 20 \text{ cm} \]
Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
Your Answer : (Not Answered)
Correct Answer : B
Two trains that meet and then take \( t_{1} \) and \( t_{2} \) to finish have speeds in the ratio
\[ \frac{v_{1}}{v_{2}} = \sqrt{\frac{t_{2}}{t_{1}}} \]
\[ = \sqrt{\frac{16}{9}} = \frac{4}{3} \quad\Longrightarrow\quad 4 : 3 \]
The square root is essential; taking the times directly would give 9 : 16, which is offered as the last option and is also the wrong way round.
Reasoning [ Question No: 5 To 8 ] :
Direction for [ Question No: 5 To 5 ] :
Select the most appropriate alternative as the answer.
While you board a train at the station, you find a suitcase beneath your seat. You would :
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: report the matter to the police.
An unattended suitcase on a train may belong to someone who has forgotten it, or it may be there for a worse reason. Reporting it to the police leaves both possibilities in the right hands rather than in yours.
Direction for [ Question No: 6 To 6 ] :
Eight students A, B, C, D, E, F, G and H are planning to enjoy car racing. There are only two cars and following are the conditions :
(i). One car can accommodate maximum five and minimum four students.
(ii). A will sit in the same car in which D is sitting but H is not in the same car.
(iii). B and C can't sit in the same car in which D is sitting.
(iv). F will sit in the car of four people only alongwith A and E but certainly not with G.
Which of the following statements is superfluous for the above sitting arrangements ?
Your Answer : (Not Answered)
Correct Answer : A
Consider two cars I and II.
A and D sit in the same car, say I.
H is not in the same car i.e. H is in car II.
B and C are not in the same car in which D is sitting i.e. B and C are in car II.
F sits along with A and E in the same car i.e. car I.
G is in the other car i.e. car II.
Thus, we have :
Car I → A, D, E, F
Car II → B, C, G, H
Clearly, Statement (i) is not necessary.
Direction for [ Question No: 7 To 7 ] :
In each of the following questions, there is a certain relationship between two given words on one side of : : and one word is given on another side of : : while another word is to be found from the given alternatives, having the same relation with this word as the words of the given pair bear.Choose the correct alternatives.
Mash : Horse : : Mast : ?
Your Answer : (Not Answered)
Correct Answer : D
Correct answer: Pig
The relation is feed : the animal it is given to. Mash - boiled bran and grain - is fed to a horse; mast, the acorns and beechnuts fallen in a wood, is what pigs are turned out to eat.
What is x squared plus x squared?
Your Answer : (Not Answered)
Correct Answer : B
In an algebraic expression, like terms are terms that contain the same variables raised to the same powers. Calculating x-squared plus x-squared is a matter of combining like terms.
Now x^2 + x^2 = 2x^2
Hence, x-squared plus x-squared is equal to 2 times x squared.
English Language [ Question No: 9 To 12 ] :
Direction for [ Question No: 9 To 9 ] :
Choose the most appropriate article/preposition to fill in the blanks.
He can play __________ flute.
Your Answer : (Not Answered)
Correct Answer : C
The answer is the: He can play the flute.
When we speak of playing a musical instrument, the instrument takes the definite article: play the flute, play the guitar, play the piano. The noun refers to the instrument as a type, not to one particular flute.
A flute is used when a single object is meant (he bought a flute), not the skill of playing. An cannot stand before the consonant sound of flute. Leaving out the article is the pattern for games and sports (play cricket), not for instruments.
Direction for [ Question No: 10 To 10 ] :
Read the passage given below and answer the questions that follow :
My home town in the mid-1970s was a laid-back place, resembling a remote rural area, except in having some amenities. Our house was almost at one end of the town. About 15 km away, there was a small village where a fair was held for a week every year during the harvest season. The village deity was worshipped by many from the places in the vicinity.
Devotees thronged the fair not only for divine blessings but also for watching street-shows and other entertainment events. Only a mud track led to the village and everyone reached there by walking or on bullock carts.
My father, an advocate by profession, was popular among the villagers. His clients from the place used to arrange bullock carts for us and a few family friends and relatives to attend the fair.
The journey would start early in the morning. We children will be in a separate cart. I used to eagerly look forward to this occasion every year as though it was a journey of a life-time and worth enjoying every minute of it. Money saved for this fair would be tucked firmly in my pockets during the journey. Whenever the cart jerked or sped away, I would hold my pockets tightly so that coins would not spill out.
The crowd at the temple in the foothill used to be highly unorganised, especially the food counter where prasadam was served. Hot and spicy puffed rice and tea made of jaggery were the delectable combination of food and beverage every devotee craved for.
Going to the temple used to be the last priority of us children. Fearing elders' wrath, we would hurriedly finish the formality of darshan.
Study the following statements :
(a) The writer would be very careful while travelling in the cart.
(b) Inspite of the jerks and jolts, the journey was enjoyable.
Your Answer : (Not Answered)
Correct Answer : C
The answer is both (a) and (b) are right.
(a) The writer tells how 'whenever the cart jerked or sped away, I would hold my pockets tightly so that coins would not spill out', so he was careful in the cart. (b) He looked forward to the journey every year 'as though it was a journey of a life-time and worth enjoying every minute of it', so despite the jerks and jolts it was enjoyable.
Calling either statement wrong, or both, would go against those lines.
Direction for [ Question No: 11 To 11 ] :
Directions : Read the passage given below and answer the questions that follow by selecting the correct/most appropriate option.
Dorothy lived in the midst of the great Kansas prairies (grasslands) with Uncle Henry, who was a farmer, and Aunt Em, who was the farmer's wife. Their house was small, for the lumber to build it had to be carried by wagon from many miles afar. There were four walls, a floor and a roof, which made one room; and this room contained a rusty looking cooking stove, a cupboard for the dishes, a table, three or four chairs, and the beds.
Uncle Henry and Aunt Em had a big bed in one corner, and Dorothy a little bed in another corner. There was no garret at all, and no cellar - except a small hole dug in the ground, called a cyclone cellar, where the family could go in case one of those great whirlwinds arose, mighty enough to crush any building in its path. It was reached by a trapdoor in the middle of the floor, from which a ladder led down into the small, dark hole.
When Dorothy stood in the doorway and looked around, she could see nothing but the great gray prairie on every side. Not a tree nor a house broke the broad sweep of flat country that reached to the edge of the sky in all directions. The sun had baked the ploughed land into a gray mass, with little cracks running through it. Even the grass was not green, for the sun had burned the tops of long blades until they were the same gray colour to be seen everywhere. Once the house had been painted, but the sun blistered the paint and the rains washed it away, and now the house was as dull and gray as everything else.
Which one of the following statements is true ?
Your Answer : (Not Answered)
Correct Answer : D
The true statement is that she lived in a small and shabby house.
The passage says that the house was small, and that the sun had blistered the paint and the rains washed it away, so the house was as dull and gray as everything else. That is a small, shabby house.
Option 1 is the opposite, since the house had lost its paint. Option 2 is not stated: Uncle Henry was a farmer, and nothing says the family was rich. Option 3 is not stated either, as the passage says nothing of the size of his farm.
Direction for [ Question No: 12 To 12 ] :
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 theoretical.
Hypothetical means assumed for the sake of argument rather than known to be so. Magical and two-faced are unrelated.
Computer Awareness [ Question No: 13 To 13 ] :
A file with the extension .class contains ?
Your Answer : (Not Answered)
Correct Answer : D
Correct answer: Java bytecode compiled from source
A .class file holds the bytecode produced when the Java compiler processes a .java source file. The Java Virtual Machine executes this bytecode, which is what lets the same compiled file run on any platform with a JVM.
General Awareness / General Knowledge (GK) [ Question No: 14 To 20 ] :
Who built the Nirmahal near Sonamura in Tripura ?
Your Answer : (Not Answered)
Correct Answer : B
The Neermahal was built by Maharaja Bir Bikram Kishore Manikya.
The 'water palace' stands in the middle of Rudrasagar Lake at Melaghar, near Sonamura in Sepahijala district. Bir Bikram Kishore Manikya, the last ruling Maharaja of Tripura before the merger, had it built as a summer residence in the 1930s, blending Hindu and Mughal styles.
Bir Chandra Manikya and Radha Kishore Manikya were earlier rulers, remembered chiefly for their patronage of Rabindranath Tagore and Jagadish Chandra Bose. Udai Manikya was a sixteenth-century king whose name survives in the town of Udaipur. None of them built the Neermahal.
In which year British government in England decided to send a commission headed by Lord Simon to decide India's political future?
Your Answer : (Not Answered)
Correct Answer : C
The British government announced in November 1927 that it would send a commission under Sir John Simon to review the working of the Government of India Act of 1919 and recommend constitutional changes. It had no Indian member and was boycotted by most Indian parties. So the decision was taken in 1927, option (C). The years 1928 and 1929 are when the commission toured India and the later years, and 1930 is the year of the Salt March.
Which is the official language of "Somalia"?
Your Answer : (Not Answered)
Correct Answer : B
It is Somali.
Somali and Arabic are both official. Somali is a Cushitic language, given a Latin orthography only in 1972, after long dispute between Latin, Arabic and the indigenous Osmanya script.
Your Answer : (Not Answered)
Correct Answer : B
Mary Kom was named the AIBA ambassador for the Women's World Boxing Championship.
She has won the world title six times, more than any other boxer of either sex, and took bronze at the 2012 London Olympics.
Your Answer : (Not Answered)
Correct Answer : A
Collagen is the major ingredient of leather - the fibrous protein of animal skin.
Tanning cross-links its fibres so they no longer rot or dry hard. Collagen is also the commonest protein in the body, forming the framework of skin, tendon, bone and cartilage.
“Dappu Dance” is a famous dance form of which among the following states?
Your Answer : (Not Answered)
Correct Answer : D
It belongs to Andhra Pradesh.
Dappu is a one-sided frame drum, and the dance performed to it by the Madiga community at village festivals and processions is danced by men in vigorous, athletic movement.
The world largest producer of natural gas is:
Your Answer : (Not Answered)
Correct Answer : C
The United States is the world's largest producer of natural gas.
It overtook Russia in 2011 on the strength of shale gas extracted by hydraulic fracturing, chiefly in Texas, Pennsylvania and Appalachia, and now produces roughly a quarter of the world total. Russia is second.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20