I. $$3x^2 - 22x + 7 = 0$$
II. $$y^2 - 15y + 56 = 0$$
IBPS PO 2017
In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and Give answer :
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I. $$2x^{2} - 17x + 36 = 0$$
II. $$2y^{2} - 19y + 44 = 0$$
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I. $$x-\sqrt{169}=0$$
II. $$y^{2}-169=0$$
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I. $$3x^{2} + 20x + 25 = 0$$
II. $$3y^{2} + 14y + 8 =0$$
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I. $$3x^{2} + 5x + 2 = 0$$
II. $$3y^{2} + 18y + 24 = 0$$
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What will come in place of the question mark (?) in the following questions ?
$$4\frac{1}{2}+(1\div 2 \frac{8}{9})-3\frac{1}{13}=?$$
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$$(216)^{4} \div (36)^{4} \times6^{5} = (6)^{?}$$
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$$456 \div 24 \times 38 - 958 + 364 = ?$$
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$$3\frac{6}{17}\div 2\frac{7}{34}-1\frac{9}{25}=(?)^2$$
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$$(973 \div 14) \div 5 \times 11 = ?$$
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$$\frac{\sqrt{4356}\times \sqrt{?}}{\sqrt{6084}}=11$$
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$$(43)^{2}+841=(?)^{2}+1465$$
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$$4\frac{1}{2}+(1 \div 2\frac{8}{9})-3\frac{1}{13}=?$$
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$$((441)^{\frac{1}{2}}\times 207 \times (343)^{\frac{1}{3}})\div ((14)^2 \times (529)^{\frac{1}{2}})=?$$
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$$(1097.63 + 2197.36 - 2607.24) \div 3.5 = ?$$
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Refer to the graph and answer the given questions.
Data related to number of books purchased for two libraries (A and B) during 6 years
What is the respective ratio between total number of books purchased for libraries A and B together in 2003 and total number of books purchased for the same libraries together in 2007 ?
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What is the average number of books purchased for library A during 2004, 2005, 2007 and 2008 ?
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Out of the total number of books purchased by libraries A and B together in 2008, only 20% are graphic novels. What is the total number of graphic novels purchased for libraries A and B together in 2008 ?
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The number of books purchased for library B increased by what percent from 2003 to 2006 ?
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The number of books purchased for library B in 2003 is what percent of the number of books purchased for library A in 2006 ?
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Refer to the bar graph and answer the given questions.
In 2005, out of the total number of applications received for subjects A and B together, only 30% were accepted. What was the total number of applications accepted for subjects A and B together in 2005 ?
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In 2004, 30% of applications received for subject A and 20% of applications received for subject B were from international students. What was the total number of International applicants for subjects A and B together in 2004 ?
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If the respective ratio of total number of applications received for subjects A and B together in 2008 and 2009 is 3 : 4 what was the total number of applications received for subjects A and B together in 2009 ?
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What is the average number of applications received for subject A in 2005, 2007 and 2008 ?
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Number of applications received for subject B increased by what percent from 2004 to
2006 ?
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In the following pie charts the percentage of employees of a company working in 8 different countries has been given. Study these pie-charts carefully to answer the questions.
What is the ratio between male employees working in the country I and country II respectively ?
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What is the ratio between the number of male employees and female employees in country II?
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What is the approximate average number of male employees in countries I, II and III ?
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What is the average number of female employees in the countries IV and VII?
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If an increase of 40% is made in the average number of female employees, working in countries III, IV and V, then their resulting average number will be what per cent of the average number of female employees ?
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For the following questions answer them individually
The part of work done by A in 1 day is 1/5th of the part of work done by B in 1 day. A’ s 1 day’s work is 3/4th of C’s 1 day’s work. C alone can complete the work in 24 days. In how many days will B alone do the same work ?
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Eight years ago, the age of Vishal was four times that of Shekhar’s. After 8 years, Vishal’s age will be twice of Shekhar’s age. Vishal's present age is
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Rasika and Nikita invested amount of Rs 40,000 and Rs 75,000 respectively At the end of five years they got a total dividend of Rs 46,000 What is Rasika’s share in the dividend ?
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Present age of a father is 3 times the present age of his son. 4 years later father’s age is 13 more than 2 times of his son’s age. What is present age of father?
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A, B and C started a business with their investments in the ratio 1 : 2 : 4. After 6 months, A invested the half amount more as before and B invested same the amount as before while C withdrew 1/4th of his investment. Find the ratio of their profits at the end of the year.
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Read the following passage carefully and answer the questions given it. Certain word/phrases have been printed in ‘’bold’’ to help you to locate them while answering some of the questions.
India is rushing headlong towards economic success and modernisation, counting on hightech industries such as information technology and biotechnology to propel the nation to prosperity.
India’s recent announcement that it would no longer produce unlicensed inexpensive generic pharmaceuticals bowed to the realities of the World Trade Organisation while at the same time challenging the domestic drug industry to compete with the multinational firms. Unfortunately, its weak higher education sector constitutes the Achilles’ heel of this strategy. Its systematic disinvestment in higher education in recent years has yield neither world-class research nor very many highly trained scholars, scientists or managers to sustain high-tech development.
India’s main competitor especially China buts also Singapore, Taiwan and South Korea are investing in large and ‘’differentiated’’ higher education systems. They are providing access to large number of students at the bottom of the academic system while at the same time building some research-based universities that are able to compete with the world’s best institutions. The recent London Times Higher Education Supplement ranking of the world’s top 200 universities included three in China, three in Hong Kong three in South Korea. one in Taiwan, and one in India. These countries are positioning themselves for leadership in the knowledge based economies for coming era.
There was a time when countries could achieve economic success with cheap labour and low-tech manufacturing. Low wages still help, but contemporary large-scale development requires a sophisticated and at least partly knowledge-based economy. India has chosen that path, but will find a major stumbling block in its universities system.
India has significant advantages in the 21st century knowledge race. It has a large higher education sector --- the third largest in the world in student numbers, after China and the United States. It uses English as a primary language of higher education and research. It has a long academic tradition. Academic freedom is respected. There are a small number of highly quality institutions, departments, and centres that can form the basis of quality sector in higher education. The fact that the States, rather than the Central Government, exercise major responsibility for higher education creates a rather cumbersome structure, but the system allows for a variety of policies and approaches.
Yet the weakness far outweigh the strengths. India educates approximately 10 per cent of its young people in higher education compared with more than half in the major industrialised countries and 15 per cent in China. Almost all of the world’s academic systems resemble a pyramid, with a small high quality tier at the top and a massive sector at the bottom. India has a tiny top tier. None of its universities occupies a solid position at the top. A few of the best universities have some excellent departments and centres and there are a small number of outstanding undergraduate colleges. The university Grants Commission’s recent major support of five universities to build on their recognised strength is a step toward recognising a differentiated academic system and fostering excellence. These universities, combined, enroll well under 1 percent of the student population.
What does the phrase ‘Achilles’ Heel’ mean as used in the passage?
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Which of the following is/are India’s strength/s in terms of higher education?
A: Its system of higher education allows variations
B: Medium of instruction for most higher learning is English
C: It has the paraphernalia, albeit small in number, to build a high quality higher educational sector.
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Which of the following are Asian countries other than India, doing to head towards a knowledge based economy?
A. Building competitive research based universities
B. Investing in diverse higher education systems
C. Providing access to higher education to a select few students.
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Which of the following is possibly the most appropriate title for passage?
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What did India agree to do at the behest of the World Trade Organisation?
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Which of the following is/are India’s weakness/es when it comes to higher education?
A. India universities do not have the requisite teaching faculty to cater to the needs of the higher education sector
B. Only five Indian universities occupy the top position very strongly, in the academic pyramid, when it comes to higher education
C. India has the least percentage of young population talking to higher education as comapred to the rest of the comparable countries.
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Which of the following , according to the passage, is/are needed for economic success of a country?
A. Cheap labour
B. Educated employees
C. Research institutions to cater to development
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Choose the word/group of words which is most similar in meaning to the word printed in bold as used in the passage: FOSTERING
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Choose the word/group of words which is most similar in meaning to the word printed in bold as used in the passage: PROPEL
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Choose the word/group of words which is most similar in meaning to the word printed in bold as used in the passage: MASSIVE
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Which of the following phrases (I), (II), and (III) given below each sentence should replace the phrase printed in bold letters to make the sentence grammatically correct? Choose the best option among the five given alternatives that reflect the correct use of phrase in the context of the grammatically correct sentence. If the sentence is correct as it is, mark (e) i.e., “No correction required” as the answer.
Despite of his heroics in the under-19 world cup final, Manjot did not get a good IPL contract.
I. In spite of his heroics
II. Although he is playing magnificently
III. Even after playing brilliantly
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Revolutionary scientists designed varieties of strategies to make the will of the people discernible.
I. a multiple strategies
II. several strategies
III. multitude of strategy
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At the time of the American Revolution most of the New World still belong to Spain and Portugal, whose captains and conquerors had been the first to come to its shores.
I. was still in possession of
II. yet belonged to
III. still belonged to
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Although as they now stand none appear to be of earlier date than the ninth or tenth century, these stories all breathe the very breath of a primitive world.
I. Even as they now stand
II. Though as they now stand
III. Even though as they now stand
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The battle of Saratoga is included by Sir Edward Creasy among his fifteen decisive battles which have, by its result, affected the history of the world.
I. by their results
II. due to its result
III. by virtue of their results
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Many centuries of European history have been marked by war almost ceaseless between France and England when these two states first confronted each other in America.
I. had been marked
II. has been marked
III. is being marked
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The magnificent civilization of Atlantis was shattered and plunged beneath the sea in February 1882.
I. was destroyed and dumped
II. shattered and plunged
III. had been shattered and dumped
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The archeologist whose business it is to bring to light by pick and spade the relics of bygone ages, is often accused of devoting his energies to work which is of no material profit to mankind at the present day.
I. showcase
II. highlight
III. bring to knowledge
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If you look at a Map of the World, you will see, in the left-hand upper corner of the Eastern Hemisphere, two Islands lying beside the sea.
I. lying beyond the sea
II. lying in the sea
III. lying on the sea
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The oldest religion to which we have clear and authentic account is probably the pure monotheism held by the Jews.
I. for which
II. of which
III. by which
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Some sentences related to a topic are given in each question. Find the sentence which is out of context of the main theme of the paragraph and rearrange the remaining sentences to make a coherent paragraph. If the given sentence is correct as it is then choose option E. If the sequence is the one which is not given then choose option D as your choice.
(A) And students aged 6 to 17 spend at least three hours a day (B)/ For children as young as 10 years old (C)/ According to a recent survey commissioned by HP and conducted by Wakefield Research, (D)/ On devices with Internet access (E)/ computers become a significant part of homework assignments
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(A) National School Choice Week provides an opportunity to bring conversations about education (B)/ At its core, school choice affirms the special bond between parents and children (C)/ Parents in communities across America (D)/ Out from the political sphere and to the kitchen tables and living rooms of (E)/ As a nonpartisan awareness effort,
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(A) Not only the wonders of oil as might be expected, but also free-market capitalism (B)/ And made at the behest of the American Petroleum Institute, (C)/ Produced at the height of the Cold War, (D)/ lands in the United States and soon discovers the many and myriad delights of petroleum (E)/ This great little promotional film from John Sutherland Studios champions
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(A) Secured the book as a landmark in the study and representation of demons. (B)/ A monumental compendium of all things diabolical, was first published in 1818 to much success, (C)/ At its heart lies an unlikely but pertinent synthesis of the Enlightenment and the occult (D)/ It is the fabulously illustrated final edition of 1863 which (E)/ Although Jacques Collin de Plancy’s Dictionnaire infernal,
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(A) And although there is great interest among intellectual historians today in (B)/ No major study has focused on the visual documents integral to this epistemic shift (C)/ Even though the philosophical visualizations of Meurisse, Chéron, and Gaultier had (D)/ challenges to Aristotelian orthodoxies during the “scientific revolution”, (E)/ An international reputation in the early modern period, they have since been largely forgotten,
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(A) caused by his non-stop consumption of chivalric romance. (B)/ a country gentleman whose limited estate has been eaten away by (C)/ proudly wears the basin that he has claimed from a bewildered barber as Mambrino’s helmet (D)/ The book tells the story of Alonso Quijano, (E)/ the costs to both his purse and mental stability
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(A) or to read a single word of the books which the dastardly heretic had written. (B)/ declared Luther an outlaw before God and man, (C)/ and forbade all Germans to give him shelter or food or drink, (D)/ the Reformation was no longer a spiritual and religious affair (E)/ The Diet of Worms, after due deliberation,
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(A) Of the glorious climate of California he will hear much at every step, (B)/ when a Spanish novelist, either in fancy or prophecy, (C)/ the State and Lower California as long ago as 1510, (D)/ The name California was given to the territory comprising (E)/ wrote concerning "the great land of California, where an abundance of gold and precious stones are found."
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(A) Magnified into a crime but very little is said on the other side of the question (B)/ the men employed in various capacities by railroads, and (C)/ The commendation of these men takes the form of deeds (D)/ every misdeed is exaggerated, and every indiscretion (E)/ Whenever there is a strike, a great deal is written about.
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(A) and burning with resentment against his "oppressors," (B)/ Beginning with the assumption that the negro (C)/ they attempted to bridge the gap of centuries in a generation. (D) whites who held themselves apart were enemies to the blacks (E)/ was equal or superior to the white in natural endowment
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Directions: Study the information and answer the following questions.
In a certain code language 'economics is not money' is written as 'ka la ho ga', 'demand and supply economics' is written as 'mo ta pa ka', 'money makes only part' is written as 'zi la ne ki' and 'demand makes supply economics' is written as 'zi mo ka ta'.
What is the code for 'money' in the given code language?
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What is the code for 'supply' in the given code language?
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What may be the code for ‘demand only more’ in the given code language?
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What may be the possible code for 'work and money' in the given code language?
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What is the code for 'makes' in the given code language?
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Study the following information carefully and answer the questions given below :
P,T, M, J, V, R and W are seven friends studying in a college. Three of them are in B.Sc. and two each are in B.A. and B.Com. Each of them has a favourite colour from Blue, Red, Yellow, White, Black, Violet and Brown, not necessarily in the same order. None of them studying in B.Sc. likes either Red or Black. M is in B. A. and likes Blue. R is in B.Com. and likes Brown. J is in B.Sc. and likes Yellow. P who does not like Red is in the same discipline of R, and T is in the same discipline of M. V does not like Violet.
Which colour does T like ?
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Which colour does P like ?
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Which of the following groups is in B.Sc. ?
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What is the colour combination of those who are in B.Sc. ?
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Which colour does V like ?
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Study the following information carefully and answer the questions given below :
Sagar sells mobiles of seven different companies viz., Samsung, HTC, Lenovo, Intex, Micromax, Nokia and Oppo starting from Monday and ending on Sunday, but not necessarily in the same order. Sagar sold HTC on Monday. He sold only three mobiles between HTC and Samsung. He does not sell any mobile between the day he sold Samsung and Lenovo. He sold only two mobiles between Lenovo and Oppo. He sold Micromax mobiles the day immediately before the day he sold Oppo mobiles. He sold Intex on one of the days after Oppo but not on Sunday.
On which day Sagar sold Micromax?
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How many mobiles did Sagar sell between HTC and Lenovo?
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Which of the following statements is not true as per the given arrangement?
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Four of the following five are alike in a certain way based on the given arrangement and thus form a group. Which is the one that does not belong to that group?
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Which mobile did Sagar sell on Sunday?
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Study the following information and answer the questions given below:
Nine friends – P, Q, R, S, T, U, V, W and X — live on nine different floors of a building but not necessarily in the same order. The lower most floor of the building is numbered one, the one above that is numbered two and so on till the topmost floor is numbered nine. Only two persons live below the floor on which V lives. Only one person lives between V and P. W lives on an odd numbered floor but not on floor number 7. Only two persons live between W and Q. X does not live on the topmost floor. P does not live on the lowermost floor. S lives immediately below R but R does not live on top most floor. Neither R nor T live on floor number 6. U lives immediately above P.
How many persons live between the floors on which P and S live?
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Who lives on the floor immediately below V?
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On which of the following floor numbers does X live?
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Which of the following statements is true with respect to U as per the given arrangement?
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Who lives on floor numbered five?
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Study the following information carefully and answer the questions given below :
Seven people N, K, T, B, M, W and R have their weekly offs on different days of the week i.e. Sunday, Monday, Tuesday, Wednesday, Thursday, Friday and Saturday not necessarily in that order. Each of them has a liking for different cuisine i.e. Indian, Italian, Mexican, Chinese, Spanish, Continental and Thai, not necessarily in that order. K likes Thai food and gets his weekly off on Thursday. B likes Italian food and does not have off on Sunday. M has weekly off on Saturday and R has his weekly off on Tuesday. W likes continental food whereas the one who has weekly off on Monday likes Mexicancuisine. T does not like Spanish cuisine and has weekly off on Wednesday. The one who likes Indian food does not have a weekly off on Tuesday or Wednesday.
Who has a weekly off on Friday ?
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What cuisine does R like?
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On which day N have weekly off?
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Who likes Chinese cuisine?
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On which day does W have weekly off?
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For the following questions answer them individually
Anup starts from point A and travels towards north for 8 km and then he turns to his left and travels for 15 km to reach point B. What is the distance between A and B and the direction to which Anup is finally facing?
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S is mother of T. T is husband of J. N is son of J. Z is father-in-law of J. K is brother of N. How K is related to Z ?
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In these questions, relationships between different elements is shown in the statements. The statements is followed by two conclusions. Study the conclusions based on the given statement and select the appropriate answer.
Statement: K > I $$ \geq $$ T $$ \geq $$ E; O < R < K
Conclusions: I. R < E 2. O < T
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Statement C < L < O = U = D $$ \geq $$ S > Y
Conclusions I. O > Y II. C<D
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Statement K $$ \geq $$ L > M $$ \geq $$ N
Conclusions I. N $$ \leq $$ K II. N<K
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Study the following information carefully and answer the given question.
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 rearrangement. (All the numbers are two-digit numbers)
Input pink for 25 72 white jar 12 96
Step I 96 pink for 25 72 white jar 12
Step II 96 for pink 25 72 white jar 12
Step III 96 for 72 pink 25 white jar 12
Step IV 96 for 72 jar pink 5 white 12
Step V 96 for 72 jar 25 pink white 12
Step VI 96 for 72 jar 2 pink 12 white
and step vi is the last step of the rearrangement as the desire arrangement is reached.
As per the rules followed the above steps, find out in each of the following questions the appropriate step for the given input. (All the numbers are two-digit numbers)
‘’Input’’ 16 power failure 61 53 new cost 27
How many steps will be required to complete the rearrangement?
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‘’Step II of an Input 84 ask quit these 39 12 old 51
Which of the following will definitely be the input?
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‘’Step III of an Input’’ 63 bed 58 never go home 46 28
How many more steps will be required to complete the rearrangement?
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‘’Input’’ rows 25 columns 39 46 fear star 72
Which of the following steps will be the last but one?
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‘’Input’’ ordinary 47 tablet 36 dry 91 32 handle
Which of the following will be the step VI?
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