Two pipes A and B can fill a tank in 5 hours and 20 hours respectively. Both pipes together can fill the same tank in:
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Two pipes A and B can fill a tank in 5 hours and 20 hours respectively. Both pipes together can fill the same tank in:
Let the volume be 20 units
So A fills at 4 units/hr
B fills at 1 unit/hr
Now together they fill 4+1 = 5 units/ hour
Now time taken to fill completely : 20/5 = 4 hrs
In June-2020, the ratio of boys to girls in a college was 3 : 2. In September-2020, there were 80 fewer boys and 20 fewer girls in the college and the ratio of boys to girls was 7 : 5. What was the total number of students in the college in June-2020?
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M is a 4-digit number. If the left most digit is removed, then the resulting three digit number is $$\frac{1}{9}^{th}$$ of M. How many such M's are possible?
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L and M together can complete a piece of work in 72 days, M and N together can complete it in 120 days, and L and N together in 90 days. In what time can L alone complete the work?
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Given below are two statements
Statement I : The set of numbers(5,6, 7, p, 6, 7, 8, q) has an arithmetic mean of 6 and mode (most frequently occurring number) of 7. Then $$p\times q=16$$.
Statement II: Let p and q be two positive integers such that $$p+q+p\times q=94$$. Then $$p+q=20$$.
In light of the above statements, choose the correct answer from the options given below
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A milkman adds 10 litres of water to 90 litres of milk. After selling $$\frac{1}{5}^{th}$$ of the total quantity, he adds water equal to the quantity he sold. The proportion of water to milk he sells now would be:
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In a $$\triangle ABC,D,E$$ and $$F$$ are the mid-points of the sides AB, BC and CA respectively. Then the ratio of the area of a $$\triangle DEF$$ and the area of a $$\triangle ABC$$ is:
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A 100-meter long train crosses a 200-meter long and 20-meter wide bridge in 20 seconds. What is the speed of the train in Km/hour?
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Given below are two statements:
Statement I: $$\frac{\sqrt{7}+\sqrt{5}}{\sqrt{7}-\sqrt{5}}+\frac{\sqrt{7}-\sqrt{5}}{\sqrt{7}+\sqrt{5}}=2$$
Statement II: If $$a+b+c=0$$, then $$(a^{3}+b^{3}+c^{3})\div abc=3$$
In light of the above statements, choose the correct answer from the options given below
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Given below are two statements:
Statement I : A coin is tossed three times. The probability of getting exactly two heads is 3/8
Statement II: In tossing of 10 coins, the probability of getting exactly 5 heads is 63/256
In the light of the above statements, choose the correct answer from the options given below.
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If $$x^{2}-3x+2$$ is a factor of $$x^{4}-px^{2}+q$$, then (p,q) =
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In a 100 meter race, A beats B by 10 meters and B beats C by 5 meters. By how many meters does A beat C?
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Mohan bought a trouser at 10% discount and sold it to Sohan at a loss of 10%. If Sohan paid Rs. 729 for the trouser to Mohan, then what was the undiscounted price of the trouser?
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Which of the following graphs represent the function of x?
Choose the correct answer from the options given below :
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The following pie-chart indicates the monthly domestic budget of a family:
where A = Food: B = Conveyance; C = Clothing: D = House Rent: E = Miscellaneous Expenses:
F = Saving.
If the monthly saving of the family is Rs. 4500, then the monthly income of the family is:
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Two sisters Neha and Monica walk to school from the house. Neha takes 40 minutes while Monica takes 30 minutes. One day Neha started 5 minutes earlier than Monica. In how many minutes would Monica overtake Neha?
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Given below are two statements
Statement I : A committee of 4 can be made out of 5 men and 3 women containing at least one woman in 65 ways.
Statement II : The number of words which can be formed using letters of the word ARRANGE' so that vowels always occupy even place is 36.
In light of the above statements, choose the correct answer from the options given below
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If $$A:B = C:D$$, then the value of $$\frac{A^{2}+B^{2}}{C^{2}+D^{2}}$$ is
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The dimensions of a floor are $$18\times24$$. What is the smallest number of identical square tiles that pave the entire floor without the need to break any tile?
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Which of the following statements regarding quadratic equations are true?
(A) Solution set for the equation $$6x^{2}-5x=4$$ is $$\left\{-\frac{1}{2},\frac{4}{3}\right\}$$
(B) The nature of the roots of the equation $$9x^{2}+6x+1=0$$ is equal, real and rational.
(C) If one root of $$4x^{2}-3x+K=0$$ is 3 times the other, then $$K=\frac{27}{256}$$
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Arrange the following rational numbers in ascending order:
(A) $$\frac{-4}{5}$$
(B) $$\frac{-5}{12}$$
(C) $$ \frac{-7}{18}$$
(D) $$\frac{-2}{3}$$
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Match List I with List II.
Let A and B be events with $$P(A)=\frac{2}{3}, P(B)=\frac{1}{2}$$ and $$P(A\cap B)=\frac{1}{3}$$
(Here c stands for complement)
Choose the correct answer from the options given below:
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In the year 2020, Production of Sugar (in Million Tonnes) by six major production units A-F of India are shown in the table given below:
What was approximate percentage decrease in sugar production of unit B in June as compared to April?
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The difference between the compound interest and simple interest for the amount Rs 5000/- in 2 years is Rs. 32. Then the rate of interest per annum is:
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Given below are two statements
Statement I: In the sequence of numbers 30, 90, 182, 306, 462,P........ . the term P is 650.
Statement II : There are 8 digits in $$9^{8}$$ when it is expressed in decimal form.
In light of the above statements, choose the correct answer from the options given below
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Find the number of triangles in the given figure :

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One statement and two conclusions for the statement are given. Read the statement, think logically about the conclusions and mark the correct option which follows the statement.
Statement : Socialization has an outcome.
Conclusion:
A. The persons being socialized acquire new skills.
B. Socialization does not lead to change in behaviour.
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Find the missing number in the given series:
8, 13, 10, 15, 12, ____
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Complete the sequence :
30, 56, 90, _____ , 182, 240.
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Find out which of the given statement(s) is/are sufficient to answer the following question Who scored the highest marks in the class?
Statements :
(A) Pawan scored 98% marks in the class.
(B) Swati scored more than 98% marks in the class.
(C) The marks of all the students were less than that of Swati’s marks.
Choose the correct answer from the options given below:
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The given statement is followed by two arguments-I and II. Decide which argument(s) is/are correct for the statement.
Statement: We should plant more trees.
Argument I. Trees help in reducing pollution.
II. Trees occupy too much of the earth's space.
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Given below is a diagram of three circles X. Y and Z which represent musicians, singers and dancers, respectively. The circles intersect with each other and form regions- a, b, c and d. Select the region that represents musicians who are singers but not dancers.

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Find the odd one out :
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If CLAUSE is coded as ECSLUA. then the code of UMPIRE will be
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Find the wrong numberin this sequence :
72, 70, 67, 65, 58, 52, 45
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In a certain language ‘Roses are red’ is coded as‘ko ti na’. “Roses are beautiful’ is coded as ‘ho ti na’. Whatis the codefor‘red’ in that language?
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Six friends are sitting around a circular table in such a way that they are equidistant from each other. Kunal is sitting to the right of Alia and Dhruv is sitting between Arti and Jasmeet. Safi is sitting opposite to Jasmeet and to the right of Kunal. Who is sitting between Arti and Kunal?
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Select the suitable figure from the answer figure that would replace the question mark (?)

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In a certain code, LUCKNOW is written as MTDJONX and SURFACE as TTSEBBF. How is HAPPINESS written in that code?
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In a certain code FLOWER is written as 325716 and WRITE as 76481. How is LITTER written in that code?
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Sophia is walking in the east direction. After walking for some time. she turns left and then again turns $$45^{0}$$ right. In which direction is she moving now?
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Observe the given figure and read the statements (I), (II) and (III).
Statements:
(I) All teachers are doctors
(II) Some doctors are teachers
(III) All surgeons are doctors
Which of the following statement(s) is/are correct :
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Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Solar energy is in abundance on the planet earth.
Reason R : Solar energy is available only in summer season.
In light of the above statements, choose the correct answer from the options given below.
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P is the father of R, Q is the sister of P, R is the brother of C and S is the mother of P. How is R related to S?
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Ansh is taller than Akshita but shorter than Sharad. Akshita is shorter than Sharad but taller than Sneha. Who is the tallest one?
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Choose the missing item in the series:
CDFG, IJLM, OPRS,_____, ABDE
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In analogy, you are required to guess the relation between the two given words and fill in the blanks after finding the similar relationship by choosing any word from the options given below:
BEES : SWARM :: LIONS :______
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A says to B, ‘I am the mother of your grandfather's son.’ How is A related to B?
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Aman is five ranks ahead of Ishain class of 30 students. If Isha's rank is $$14^{th}$$ from the last, then what is Aman's rank starting from Chetan at the $$1^{st}$$ position?
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A, B, C and D play tennis. B and C play football also. D does not play chess but plays badminton. Who plays only tennis?
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Read the given passage and answer the questions that follow.
Few doctor have any time for the study of philosophy, for their profession is an exacting one, and it is all they can do to keep abreast of its advances. What is true of Medical Science is also true of the whole civilized world. Men at present are so engrossed in their various occupations, in manufacturing goods, in buying and selling, in accumulating wealth or in struggling merely to maintain themselves that they have no time left to wonder what living is all about.
The expression “it is all they can do” in the first sentence conveys the idea of all that
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The expression that “their profession is an exacting one” is the best described by which one of the following statements?
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The author compares medical profession with various other occupation in order to show that
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Read the given passage and answer the questions that follow.
Our government has taken/ propose a number of major initiatives during the eleventh Five Year Plan. Some of the new initiative in the school and literacy sector and higher and technical education sector include : right of children to free and compulsory education, launching a Saakshar Bharat, ICT in secondary school and in open and distance learning. evolving a national curriculum framework for teacher education, examination reform in accordance with NCF- 2005, introducing a system of replacement of marks by grades at the secondary stage in school affiliated to CBSE. recommendation of Yash Pal Committee and National Knowledge Commission, establishment of 14 innovation Universities aiming at world class standards, setting up 10 new national institutes of technology. launching of new scheme of interest. subsidy on educational loan taken for professional courses by the economically weaker students, scheme for setting up of 374 model degree colleges in districts, 150 women’s hostels for women of weaker sections and minorities, academic reforms like semester system, choice based credit system, regular revision of syllabi, impetus to research etc.
The free and compulsory education bill of the eleventh Five Year Plan is a major initiative towards
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Technical education is encouraged by our government by the introduction of
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In order to ensure all round development in the field of education our government should take steps towards
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The overall Idea behind the passage is
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Read the given passage and answerthe questionsthat follow.
Education is not only an instrument for enhancing efficiency but also an effective tool of augmenting and widening democratic participation and upgrading the overall quality of individual and society. India has a vast population and to capture the potential demographic dividend to remove the acute regional, social and gender imbalances. the government is committed to make concerted efforts for improving the quality of education as mere quantitative expansion will not deliver the desired results in view of the fast changing domestic and global scenario.
High quality education can help the individual to balance between
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According to the author, education not only enhances the efficiency of the learner, it also
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Mere quantitative expression of education doesn't deliver the desired results, because
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Read the given passage and answer the questions that follow.
Philosophy of Education is a label applied to the study of the purpose, process, nature and ideals of education. It can be considered a branch of both philosophy and education. Education can be defined as the teaching and learning of specific skills and imparting of knowledge, judgment and wisdom, is something broader than the societal institution of education we often speak of.
Many educationalists consider it a weak and woolly field, too far removed from the practical applications of the real world to be useful. But philosophers dating back to Plato and the Ancient Greeks have given the area much thought and emphasis, and there is little doubt that their work has helped shape the practice of education over the millennia.
Plato is the earliest important educational thinker, and education is an essential element in "The Republic" (his most important work on philosophy and political theory, written around 360 B.C.). In it, he advocates some rather extreme methods: removing children from their mothers' care and raising them as wards of the state, and differentiating children suitable to the various castes, the highest receiving the most education, so that they could act as guardians of the city and care for the less able. He believed that education should be holistic, including facts, skills, physical discipline, music and art. Plato believed that talent and intelligence is not distributed genetically and thus is to be found in children born to all classes, although his proposed system of selective public education for an educated minority of the population does not really follow a democratic model.
Aristotle considered human nature, habit and reason to be equally important forces to be cultivated in education, the ultimate aim of which should be to produce good and virtuous citizens. He proposed that teachers lead their students systematically, and that repetition be used as a key tool to develop good habits, unlike Socrates’ emphasis on questioning his listeners to bring out their own ideas. He emphasized the balancing of the theoretical and practical aspects of subjects taught, among which he explicitly mentions reading, writing, mathematics, music, physical education,literature, history, and a wide range of sciences, as well as play, which he also considered important.
During the Medieval period, the idea of Perennialism was first formulated by St. Thomas Aquinas in his work "De Magistro". Perennialism holds that one should teach those things deemed to be of everlasting importance to all people everywhere, namely principles and reasoning, not just facts (which are apt to change over time), and that one should teach first about people, not machines or techniques. It was originally religious in nature, and it was only much later that a theory of secular perennialism developed.
What is the difference between the approaches of Socrates and Aristotle?
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Why do educationists consider philosophy a 'weak and woolly’ field?
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Were Plato's beliefs about education democratic?
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Why did Aquinas propose a model of education which did not lay much emphasis on facts?
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Choose the appropriate option for the underlined phrase
Rama told his wife, he would not mind standing and eat the dinner.
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The sentence is underlined in three separate parts and each one is labeled as (a), (b), (c). Read the sentence to find out whether there is an error in any underlined part. No sentence has more than one error. If you think there is no error in any part. You can choose option (d) :
If she will be promoted (a)/ she will get (b)/ a higher salary.(c)/ No error(d).
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Select the option that corrects the underlined part.
Sabotage came from the French saboter, which means "to clatter with wooden shoes (sabots)".
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Choose the word that is most nearly like that expressed in following statement:
One who is extremely fond of his wife :
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Replace the underlined portion with the answer choice that results in a sentence that is clear and precise.
The train is expected to arrive between 11 pm to 12 pm.
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Find the alternative statement which meets the requirements of standard written in English.
The payment was collected by the hardworking salesman.
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Select the alternative that is the best substitute of the phrase.‘a loud. harsh. piercing cry’.
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Choose the correct word/words to fill in the blanks.
Mr. Mehta,a biologist. spends three seasons in the US and returned with clear perceptions of that ____ and uninhabitable place.
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Find the alternative statement which meets the requirements of standard written English.
In light of her extraordinary creative budgeting proposal, a recent poll put Susan ahead of George in the race for governor and found her to be the best candidate of the two.
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Replace the underlined portion with the answer choice that results in a sentence that is clear, precise and meets the requirements of standard written English.
Jessica Mitford wrote The American Way of Death, a best-selling book that led eventually to an official investigation of the funeral industry.
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Choose the preferred idiom for the blanks :
I don’t know I am ready to take the test now and I will ever be ready in the future.
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Which one of the following statements best describes the term Social Cost of Carbon?
It is a measure, in monetary value, of the
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With reference to the State Legislative Council in India, which among the following statements is / are correct?
(A) The Legislative Council is a continuing House & two-third of the members retire in two years.
(B) Members of local bodies elect one-third of the total number of members of the legislative council
(C) If a state legislative council is to be created or abolished, a resolution to that effect is to be first passed by the State legislature by a two-third majority
Choose the correct option from the options given below:
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With which theatre in London. Shakespeare was associated with :
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Which of the following personalities has been appointed as the head of Tehelka Panel after the much in news resignation of its chief K.Venkataswamy?
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How much India needs to invest on infrastructure to become USD trillion economy by 2024-25?
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Which of the following eminent personalities was the ninth monarch of Thailand from the Chakri Dynasty as Rama IX?
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Which of the following is not matched?
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Which of the following committee made a recommendation that election commission should be a three member body?
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The language and ideals of the Preamble of Constitution of India is influenced / borrowed from which of the following constitution(s)?
(A) USA
(B) France
(C) Australia
Choose the correct answer from the options given below:
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In which among the following organ, “Bowman's Capsule” is found?
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Which of the following report is not matched correctly?
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If another global financial crisis happens in the near future, which of the following actions/ policies are most likely to give some immunity to India?
(A) Not depending on short-term foreign borrowings.
(B) Opening up to more foreign banks.
(C) Maintaining full capital account convertibility.
Choose the correct answer using the options given below:
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Which one of the following was the official mascot of Khelo India Youth Games, 2020?
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To conquer and annex Peshawar and Punjab. Mahmud of Ghazni defeated?
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Consider the following statements regarding to the Sattriya dance and choose the correct answer from the options given below :
(A) Sattriya is a fusion of dance, drama and music.
(B) It follows the old living tradition of Vaishnavites of Assam.
(C) It is based on various Ragas and Talas of devotional songs of Tulsidas, Kabir and Mirabai.
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Which one of the following mountain range lies in between Caspian Sea and Black Sea?
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The Economic Survey 2020 suggests Employee Stock Ownership for which sector?
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With the range of 16000 kms. which of the following is world’s longest range intercontinental ballistic missile:
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The Paithan (Jayakwadi) Hydro-electric project. completed with the help of Japan, is on the river:
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L&T Technology Services, the engineering services arm of Larsen and Toubro Group. informed that it will acquire a 100 % stake in which Texas-based company?
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Which of the following is the longest Indian Novel ever published in a single volume in English language:
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RBI's Mega Bank Consolidation Plan of Merger of 10 banks into 4 became effective from which date?
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Consider the following :
(A) Mahavir Jayanti.
(B) Buddha Purnima,
(C) Guru Nank Jayanti
Which among the following may fall in the same months of the Gregorian calendar?
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If we are using the following words in a game. Which game are we playing?
Break, Cannons,Cue.In off, Jigger, Scratch
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The Vijayanagara king who employed skilled archers of the Turkish clan and raised the fighting capacity of his bowmen was :
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Some one legally appointed to sell off the assets of a bankrupt firm is called
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Mixed Economy refers to
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The term bootstrapping is often associated with
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Ru Pay has been launched by
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A startup defined as an entity that is headquartered in India, which was opened less than 10 years ago, and has an annual turn over less than
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Who has launched the UPI-based payments app in the country by the name of ‘Tez’?
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After reading the passage given below,choose the best answer to each question that follows.
What advice would I give to new entrepreneurs who need funding? Forget about your business plan and buy a lottery ticket — your chances are better. My point is that when you need venture funding no one will give any money until you already have a marketable product. In other words, funding comes just when you do not need it. A myth is that the way to start a venture is to create a great business plan, perfect your pitch, and then present this to investors, starting with venture capitalists. If that does not work, you knock on the door of angel investors. But ask any entrepreneur who has called on venture capitalists and they will probably tell you that it is almost impossible to even get calls returned. If venture capitalists do respond and you are invited to present your idea, the process will drag on for many months while you borrow more and survive on hope. If you do hit the jackpot, you are required to let the investors make many of the business decisions in exchange for an investment. To be fair, most business plans do not deserve funding. Venture capitalists receive hundreds of plans every week, and few are worth the paper they are printed on. Everyone jumps on the same new trend, or the ideas are so far out that they have no chance of success. And great ideas are not enough: it takes experienced management, excellent execution, and a receptive market. It is hard for even the best venture capitals to identify the potential successes. So what should an entrepreneur do? What all new entrepreneurs should understand is that, even if you have a realistic business plan for a great idea that can change the world, you need to develop it yourself until you can prove it. Focus on validating your idea and building it up. Raise money to get started by begging and borrowing from family and friends. And be prepared to dip into your savings and credit cards, obtain second mortgages, and perhaps look for consulting work or customer advances. There is no single recipe for developing your business idea yourself, but there are some essential ingredients. Here are some pointers: Consult widely. Share your ideas with those who have done it before. You can learn a lot from the experience of seasoned entrepreneurs, and they are much more approachable than you think. If you cannot find anyone who is excited about your idea, the chances are it is not worth being excited about. This may be time to reflect deeply and come up with another. Identify markets. Speak to anyone who can help you understand your target customers. If you can sell your concept, some customers may help you find it or agree to be a test site or a valuable reference. Customers do not usually know what they want, but they always know what they do not need. Make sure that there is a real need for your product. Start small. Your idea may be grand and have the potential to change the world, but you are only going to do this one step at a time. Look for simple solutions, test them and learn from the feedback. If you are starting a restaurant, work for some one else first. If you are creating a software product, learn by doing some consulting assignments or create some utilities. You do not have to start with the ultimate product. Watch every penny. Focus on revenue and profitability from the start. Find creative ways to earn cash by selling tactical products, prepaid licenses or royalties. Pay employees partially in stock. Look for access to free hardware or premises. And sweep the floors yourself. In short, use any methods to avoid costs. Prepare for the worst. It is going to take longer than you think. There will likely be product problems, unhappy customers, employee turnover, and lots of financial challenges. You may even fail a number of times before you achieve your goals. By learning from each success and failure alike, you increase the odds that you eventually make it. Keep your integrity. Never forget the importance of business ethics and your own values. Ethics need to be carefully sewn into the fabric of any start-up. And the only way to reach long-term success is by achieving outstanding customer satisfaction. With a lot of luck and hard work you may build a successful company that markets products customers really want. It is very likely that by this stage, you receive the phone calls from venture capitalists. This is the time to think of exit strategies and decide if you want to own a small piece of a big pie or a large piece of a small pie. (The passage taken from Book/News/Open source)
“a marketable product” as mentioned in the passage signifies:
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The phrase “and few are worth the paper they are printed on” as exists in the above passage means
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“Exit strategies”, as mentionedin the passage,signifies:
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According to the passage which are the essential ingredients for developing a business idea?
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According to the given passage whichofthe following is NOT a correct statement?
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A. It is hard for even the best venture capitals to identify the potential successes.
B. Focus on validating your idea andbuildingit up.
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What are the two business ideas that are shared in the passage as examples?
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Which of the following statements is true as per the given passage?
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Which of the following advices are given by the writer in this passage?
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The legal term for brandis :
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Entrepreneurs are risk
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Entrepreneurial intent is linked to:
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What type of financing do "Angel investors" usually provide?
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Market segments should compromise of customers who:
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The conclusion part of the business plan will identify the
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The idea and actions that explain how an entrepreneur will make his/her venture profitable and impactful is commonly referred to as
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Among the barriers to entering an industry are:
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Team members need a:
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A word, symbol, name, or device that a business uses to identify its goods and distinguish itself from others is called a
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