In the following figure, $$l \parallel m$$ and $$n$$ is a transversal. Find the value of $$(x + y)$$.
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In the following figure, $$l \parallel m$$ and $$n$$ is a transversal. Find the value of $$(x + y)$$.
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At line $$l$$, the angle $$x$$ is vertically opposite to the $$112^\circ$$ angle, so $$x = 112$$. The angle between line $$l$$ and the lower part of the transversal on the left is $$180^\circ - 112^\circ = 68^\circ$$, and $$y$$ is the corresponding angle at line $$m$$, so $$y = 68$$. Hence $$x + y = 112 + 68 = 180$$.
Which of the following statements are true?<br>Statement I - If two lines are parallel to a third line, then they themselves are parallel.<br>Statement II - All the eight angles made by a transversal with two parallel lines are always equal.<br>Statement III - If the alternate angles made by a transversal with a pair of lines are $$80^\circ$$ and $$100^\circ$$, then the lines are parallel.<br>Statement IV - If the lines are parallel, then the interior angles on the same side of the transversal are supplementary.
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A, B and C can do a work in 10 days, 16 days and 20 days respectively. They started working together, but B left the work after 4 days. In how many days the work got completed?
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Amit and Sunil together can do a work in 6 days. If Amit can do it in 10 days, then in how many days can Sunil do it?
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If $$5^{2x} \times 5^{x+3} \times 5^{5-x} = (\sqrt{5})^{20}$$, then the value of $$x$$ is
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If $$\sqrt{18 \times 14 \times x} = 168$$, then the value of $$x$$ is
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What is the smallest number by which 3087 must be divided, so that the number obtained is a perfect cube?
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Karishma paid $$15\%$$ of her monthly salary towards an EMI. From the remaining salary she paid $$10\%$$ as internet bill and $$20\%$$ as rent of the house. If after the mentioned expenses she was left with Rs. 35,105, then what was Karishma's monthly salary?
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$$76\%$$ of the students in a school are boys. If there are 204 girls in the school, then what is the total number of students?
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In a polyhedron, there are 18 vertices and 28 edges. The number of faces is
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A solid metallic cuboid having dimensions $$250\ \text{cm} \times 40\ \text{cm} \times 100\ \text{cm}$$ is melted and recast into a solid cube. The edge (in meter) of the cube so formed is
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The area of a parallelogram is $$63\ \text{cm}^2$$. If its base is $$7\ \text{cm}$$, then what is the height of the parallelogram?
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If the diagonals of a rhombus are $$8\ \text{cm}$$ and $$6\ \text{cm}$$, then perimeter of the rhombus is
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The angles of a quadrilateral are in the ratio $$2 \colon 4 \colon 5 \colon 7$$. The measure of smallest of these angles is
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In the given figure.
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The values of $$a$$ and $$x$$, respectively are
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A $$5\ \text{m}$$ long ladder is placed against a wall. The foot of the ladder is $$3\ \text{m}$$ away from the base of the wall. How far up the wall does the top of the ladder reach?
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In the figure, in $$\triangle ABC$$, $$\angle A = 80^\circ$$ and $$\angle ABC = 40^\circ$$. BD and CD bisect angles B and C, respectively. The values of $$x$$ and $$y$$ respectively are
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If $$P$$ is the smallest number that should be added to 669 to get a perfect square, then what is the value of $$\sqrt{3P + 4}$$?
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When $$(5x^2 + 70x - 160)$$ is divided by $$(x + 16)$$, then the quotient is
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In the following bar graph, total number of students and number of boys in the school have been presented for schools A, B, C and D.
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Which school has maximum number of girls and what is the percentage of girls in that school?
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A shopkeeper sold 5 kinds of cosmetic creams A, B, C, D and E. The number of creams sold by the shopkeeper in a month is presented in the given pie chart. If the total number of creams sold by the shopkeeper is 800, then how many cream B were sold by the shopkeeper?
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If the 4-digit number 48ab is divisible by 2, 5 and 7, then the value of $$(10a - b)$$ is
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If 7-digit number 78*3945 is divisible by 11, then value of '*' is
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What is the difference between the greatest and the smallest of the fractions $$\frac{5}{8}, \frac{3}{4}, \frac{4}{7}, \frac{2}{3}, \frac{5}{9}$$?
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Evaluate $$256 \div \frac{4}{3} + 5 \times \frac{4}{3} - 8 \div \frac{27}{24} \times \left(\frac{1}{3} \text{ of } 81\right)$$
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The present age of a father is five times the age of his only son. After 10 years, the age of the father will be three times the age of his son. The present age of the father is
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The denominator of a fraction is 5 more than twice its numerator. If the numerator is increased by 4 and the denominator is decreased by 1, the fraction becomes $$\frac{2}{3}$$. The original fraction is
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In the figure, ABCD is a parallelogram. The measures of the angles $$x$$, $$y$$ and $$z$$ are
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What is the mean of the observations 2, 5, 7, 5, 12, 16, 14, 18, 15 and 16?
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The median of ten consecutive even natural numbers starting from 8 is
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If mode of the observations 5, 7, 11, 14, 15, 16 and $$(2k + 3)$$ is 11, then the value of $$(k + 1)^2$$ is
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A coin is tossed 60 times and head appears 25 times. What is the probability of getting a tail?
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A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
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A shopkeeper was selling all his items at $$25\%$$ discount. During the off season, he offered $$30\%$$ discount over and above the existing discount. If an item is marked for Rs. 2,400, then how much the customer has to pay for it?
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A shopkeeper marked an item for Rs. 800 and sold the item by allowing $$10\%$$ discount. If he earned a profit of $$20\%$$ in the transaction, then what was the cost price of the item?
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Two statement are given below.<br>Statement (I) - The sum of $$(4a + 2ab - c)$$ and $$(6a + 3c)$$ is $$(10a + 2ab + 4c)$$.<br>Statement (II) - $$(6a + 3c)$$ when subtracted from $$(4a + 2ab - c)$$ gives $$(-2a + 2ab - 4c)$$.<br>Choose the correct answer from the options given below.
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Which of the following is equal to $$\frac{(312)^2 - (126)^2}{(719)^2 - (281)^2}$$?
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If $$a^2 + \frac{1}{a^2} = 51$$, $$a > 1$$, then the value of $$a - \frac{1}{a}$$ is
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A square and a rectangle have same perimeter. If area of the square is $$121\ \text{cm}^2$$ and length of the rectangle is $$18\ \text{cm}$$, then area of the rectangle is
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If $$x = 2 + \sqrt{3}$$, then the value of $$x^3 + x^{-3}$$ is
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The value of $$(3^2)^3 \times 3^{-5} \times \sqrt[3]{216} \div \sqrt{9} \times \sqrt[3]{8}$$ is
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If 5 similar pipes can fill a tank in 2 hours 8 minutes, then in how much time 8 similar pipes will fill the tank?
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If the cost price of 14 chairs is equal to the selling price of 10 chairs, then the gain percentage is
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In how many years, Rs. 1,500 will produce the same simple interest at the rate of $$8\%$$ as Rs. 6,000 produce in 3 years at the rate of $$4\%$$?
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On compound interest a certain sum of money amounts to Rs. 34,560 in 2 years and to Rs. 41,472 in 3 years at the same rate of interest. Find the rate of interest per annum.
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The compound interest on a certain sum of money for 2 years at $$10\%$$ per annum is Rs. 525. The simple interest on the same sum of money for double the time at half the rate of interest per annum is
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In the following sequence, if the first half of the alphabets are written in reverse order, then which is the $$9^{\text{th}}$$ letter from the right?<br>(Left) E P M Z N R B C K F G H T N (Right)
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Choose the odd one out.
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In a certain code language if 'SCIENCE' is written as 'RBHDMBD' then how will be 'HISTORY' written in the same language?
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'Teacher' is related to 'Student' in the same way as 'Doctor' is related to
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'A' is the father of 'D', 'D' is not his son, 'B' is the brother of 'D', 'C' is the mother of 'B'. How is 'C' related to 'A'?
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If the day before yesterday was Sunday, what day of the week is day after tomorrow?
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Which of the following groups of letters can be rearranged to get the word 'TRIANGLE'?
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In a certain code language, if 'LATE' is coded as '1234', then how is 'TALE' coded in the same language?
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Choose the correct mirror image of the following figure (X). If the mirror is kept as shown at line AB.
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One term in the following series is wrong. Find the wrong term.<br>2483, 3584, 4685, 5786, 6898, 7988
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Ram goes straight 40 m towards North. He turns left and covers 50 metres and then again turns left. In which direction is he facing now?
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If the boy's position in a row is seventh from left end and eighth from right end. How many boys are there in that row?
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Which number will come in the place of question mark (?) to complete the following matrix?
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Find the missing number in the following series.<br>3, 12, 36, 72, 72, 36, ?
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If 'P' denotes multiplied by, 'T' denotes subtracted by, 'M' denotes added to and 'B' denotes divided by, then 28B7P8T6M4 is equal to
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A, B, C and D are four friends. A and C like Computer Science while others do not. B and C like Physics while others do not. Who does not like any of these subjects?
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Choose the figure from given alternatives which contains figure (X) as it's part.
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Choose the odd one out.
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Complete the following analogy.<br>CAT $$\colon$$ 24 $$\colon\colon$$ MAN $$\colon$$ ?
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Arrange the given words as they appear in the dictionary.<br>A. Broucher<br>B. Brother<br>C. Broadcast<br>D. Brought<br>E. Broadband
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Complete the following analogy.<br>Circle $$\colon$$ Diameter $$\colon\colon$$ Rectangle $$\colon$$ ?
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'Cyclone' is related to 'Anti cyclone' in the same way as 'Flood' is related to
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The members in each figure follow a similar pattern. Find the missing number.
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Amit is faster than Bobby but slower than Dharam. Chetan is the slowest. Who is the fastest among these?
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The first two figures are related in same way. To establish the similar relation with third figure. Choose the correct option.
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Choose the sentence from the options given below that has the correct usage of transitive verb.
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Choose the sentence with the correct "Present Continuous Tense" usage from the options given below.
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Identify the tense of the following sentence.<br>"They have been building the stadium for several years."
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Choose from the options which best describes the underlined idiom.<br>As usual he is <u>blowing his own trumpet</u>.
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Choose the correct meaning of the underlined idiom from the options given below.<br>Sukriti and Sara are <u>at cross-purposes</u>.
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Choose the correct option to improve the underlined part of sentence.<br>Krishna is stronger than <u>all students</u>.
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Spot the error in the following sentence.<br><u>None of the</u> (A) <u>two boys</u> (B) <u>could complete</u> (C) <u>the job.</u> (D)
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Choose the opposite of the word 'Reasoning' from the given options.
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Choose the correct passive transformation of the following sentence from the options given below.<br>It is time to close the office.
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Choose the correct indirect transformation of the following sentence from the options given below.<br>My mother said, "You should take proper diet."
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Read the passage carefully and answer the question given below.<br><br>Diagnosing disease and prompting treatment options is one thing, but can artificial intelligence really design new drugs to tackle the source of antimicrobial resistance? Apparently it can, right down to the atom.<br><br>Massachusetts Institute of Technology (MIT) has used generative A.I. to structure two new antibiotics that have shown much promise in mice models, killing super bugs that cause drug resistance and MSRA, a bacterial infection many antibiotics fail to cure.<br><br>Antimicrobial resistance has become a global public health threat. In 2019, it led to around 5 million deaths, according to World Health Organisation estimates. Excessive use of antibiotics has made bacteria mutate to resist the drug, but very few new antibiotics have been launched over the decades. The MIT study, published in the journal 'cell', aims to bridge the gap.<br><br>The passage does not talk about
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Read the passage carefully and answer the question given below.<br><br>Diagnosing disease and prompting treatment options is one thing, but can artificial intelligence really design new drugs to tackle the source of antimicrobial resistance? Apparently it can, right down to the atom.<br><br>Massachusetts Institute of Technology (MIT) has used generative A.I. to structure two new antibiotics that have shown much promise in mice models, killing super bugs that cause drug resistance and MSRA, a bacterial infection many antibiotics fail to cure.<br><br>Antimicrobial resistance has become a global public health threat. In 2019, it led to around 5 million deaths, according to World Health Organisation estimates. Excessive use of antibiotics has made bacteria mutate to resist the drug, but very few new antibiotics have been launched over the decades. The MIT study, published in the journal 'cell', aims to bridge the gap.<br><br>Out of the given options, choose the synonym of 'generative'.
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Read the passage carefully and answer the question given below.<br><br>Diagnosing disease and prompting treatment options is one thing, but can artificial intelligence really design new drugs to tackle the source of antimicrobial resistance? Apparently it can, right down to the atom.<br><br>Massachusetts Institute of Technology (MIT) has used generative A.I. to structure two new antibiotics that have shown much promise in mice models, killing super bugs that cause drug resistance and MSRA, a bacterial infection many antibiotics fail to cure.<br><br>Antimicrobial resistance has become a global public health threat. In 2019, it led to around 5 million deaths, according to World Health Organisation estimates. Excessive use of antibiotics has made bacteria mutate to resist the drug, but very few new antibiotics have been launched over the decades. The MIT study, published in the journal 'cell', aims to bridge the gap.<br><br>According to the passage, around 5 million people lost their lives in 2019 due to
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Read the passage carefully and answer the question given below.<br><br>Diagnosing disease and prompting treatment options is one thing, but can artificial intelligence really design new drugs to tackle the source of antimicrobial resistance? Apparently it can, right down to the atom.<br><br>Massachusetts Institute of Technology (MIT) has used generative A.I. to structure two new antibiotics that have shown much promise in mice models, killing super bugs that cause drug resistance and MSRA, a bacterial infection many antibiotics fail to cure.<br><br>Antimicrobial resistance has become a global public health threat. In 2019, it led to around 5 million deaths, according to World Health Organisation estimates. Excessive use of antibiotics has made bacteria mutate to resist the drug, but very few new antibiotics have been launched over the decades. The MIT study, published in the journal 'cell', aims to bridge the gap.<br><br>According to the passage, which of the following shows the utility of A.I. in providing treatment options?
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Read the passage carefully and answer the question given below.<br><br>Diagnosing disease and prompting treatment options is one thing, but can artificial intelligence really design new drugs to tackle the source of antimicrobial resistance? Apparently it can, right down to the atom.<br><br>Massachusetts Institute of Technology (MIT) has used generative A.I. to structure two new antibiotics that have shown much promise in mice models, killing super bugs that cause drug resistance and MSRA, a bacterial infection many antibiotics fail to cure.<br><br>Antimicrobial resistance has become a global public health threat. In 2019, it led to around 5 million deaths, according to World Health Organisation estimates. Excessive use of antibiotics has made bacteria mutate to resist the drug, but very few new antibiotics have been launched over the decades. The MIT study, published in the journal 'cell', aims to bridge the gap.<br><br>According to the passage, what is the cause of bacterial mutation to resist the drug?
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Fill in the blanks with the correct pair of prepositional phrase from the options given below.<br>She accepted the offer _______ her settlement claim that was finalized by the insurance company _______ their client.
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Fill in the blanks with the correct conjunctions.<br>She will help you _______ you ask her but he will be penalised _______ that the charges of aiding and abetting are proved beyond doubt.
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Choose the correct conjunction to fill in the blank.<br>_______ she is clever, she often makes mistakes.
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Choose the correct spelling from the following options.
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Find out the correctly spelt word from the options.
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Fill in the blank with the suitable question tag.<br>Somebody has called, _______ ?
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Fill in the blank with the suitable question tag.<br>They haven't come yet, _______ ?
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Choose the correct conjunction to fill in the blank.<br>_______ teaching, my father has always been involved in public affairs.
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Fill in the blank with the correct modal verb.<br>_______ you show me the way to the station.
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Fill in the blank with the correct verb.<br>Five thousand rupees _______ charged by him.
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What is the full form of ORS?
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What is the range of temperature of laboratory thermometer?
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Choose the incorrect statement.
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The process of depositing a layer of any desired metal on another material by means of electricity is called _______
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The distance-time graph for the motion of an object moving with a constant speed will be _______
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The animals such as frog, lizard which lay eggs are called
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Distinctive colour of the human eyes are due to which part of the eye?
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Match the micro-organisms given in Column A with their action given in Column B.<br>Column A<br>A. Rhizobium<br>B. Lactobacillus<br>C. A protozoan<br>D. A fungi<br>Column B<br>i. Causing Malaria<br>ii. Rust of Wheat<br>iii. Setting of curd<br>iv. Nitrogen fixation<br>Choose the correct answer from the options given below.
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Choose the correct order for the processing of fibre into wool.
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Micro-organisms act upon the dead plants to produce _______
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Which of the following relation is correct?
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Which of the following statement is NOT true?
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The number of oscillations per second of a vibrating object is called as
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Which of the following statement is incorrect?
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Which of the following statement is incorrect?
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What is the chemical name of milk of magnesia?
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Choose the correct arrangement of different forces of friction.
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Match the objects mentioned in Column I with their action mentioned in Column II.<br>Column I<br>i. Opaque objects<br>ii. Transparent objects<br>iii. Translucent objects<br>Column II<br>a. allow light to pass through them partially<br>b. do not allow light to pass through them<br>c. allow light to pass through them and we can see through these objects easily<br>Choose the correct answer from the options given below.
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Different types of interactions occurs between organisms.<br>Match Column I and Column II.<br>Column I<br>a. Parasitism<br>b. Commensalism<br>c. Mutualism<br>Column II<br>1. Both organisms benefit<br>2. One organism benefits while other is harmed<br>3. One organism benefits while the other is not affected<br>Choose the correct answer from the options given below.
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Which of the following mirror is used by dentists to see an enlarged image of the teeth?
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What is the function of Alveoli? Choose the correct one.
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What is the function of bile in digestion?
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Name the process by which heat is transferred from the hotter end to the colder end of an object.
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Richter scale is used to measure _______
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Which of the following is NOT a part of Pistil?
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Which among the following is correct in the context of Himalayas?
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Identify the correctly matched pair.
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Choose the appropriate option to fill in the blank.<br>The _______ is a landform that rises up from the surrounding land and has a more or less flat surface, some of its sides are often steep slopes. They have been called 'store house of minerals'.
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Puneet called up his friend who resides in another country. He was surprised to know when his friend told him that it was 6 pm there. While he was calling at 9 pm local time. What is the longitudinal difference between the given two countries?
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Find the incorrect option regarding the Nationalist Movement of India.
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Match Column I with Column II and choose the correct answer from the options given below.<br>Column I (Members of Parliament)<br>I. Elected members of Lok Sabha<br>II. Elected members of Rajya Sabha<br>III. Nominated members of Rajya Sabha<br>Column II (Numbers)<br>A. 233<br>B. 12<br>C. 543
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Which of the following is NOT a part of Parliament of India?
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Which one of the following is a method of soil conservation in hilly areas?
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Which of the following is a part of Local Self Government?
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On which of the following Lists of the Constitution of India both Union and State Governments Legislate?
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Identify the correctly matched pair.
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Which of the following regions was the first to enter into 'subsidiary alliance' of British in 1798?
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Who amongst the following was the author of 'Prayaga Prashasti' of Samudragupta?
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Chinese traveller Fa-Hien visited India during the reign of
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How many of the following constituencies are reserved for the Scheduled Tribes in the Lok Sabha?
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Which of the following are the characteristics of sustainable development?<br>A. Justiciable usage of resources.<br>B. Unlimited use of resources in present time.<br>C. Balancing the need to use resources.<br>D. Conserve the resources for future generation.<br>Choose the correct option from the answers given below.
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In which of the following categories 'Thar' region of India belongs to?
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Read the following statements in the context of wind and choose the correct option.<br>Statement I - Wind is the movement of air from areas of high pressure to low pressure areas.<br>Statement II - Speed and direction are the only factors affects the wind.<br>Statement III - Hygrometer is used to measure wind direction.
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Which one of the following is NOT a method of water conservation?
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Which of the following statements is correct regarding equator?
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Match List I with List II and choose the correct option.<br>List I (Leaders of the Revolt of 1857)<br>A. Rani Lakshmibai<br>B. Nana Saheb<br>C. Kunwar Singh<br>D. Birjis Qadr<br>List II (Regions)<br>I. Lucknow<br>II. Bihar<br>III. Kanpur<br>IV. Jhansi<br>Choose the correct answer from the options given below.
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Who amongst the following British Governor Generals introduced the Permanent Settlement in Bengal?
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The 'Battle of Plassey' was fought between
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Who amongst the following rulers composed, 'Amuktamalyada' poem in Telugu?
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An event occurred in 330 CE. How many years it dates back from the year 2024?
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