
In the above figure, $$AB \parallel CD$$. The value of $$x$$ is
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In the above figure, $$AB \parallel CD$$. The value of $$x$$ is
Since $$AB \parallel CD$$, both lines make the same angle $$2x^\circ$$ with the horizontal line MQ. The line MP makes $$100^\circ$$ with MQ, so the angle between AP and AB is $$100^\circ - 2x^\circ$$. This angle is marked $$3x^\circ$$, so $$100 - 2x = 3x$$, giving $$x = 20$$.
In the given figure, $$FD \parallel BC \parallel AE$$ and $$AC \parallel ED$$

The value of $$x$$ is
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Rahul walks 12 m towards North from his house and turns West to walk 35 m to reach the market. While returning, he walks diagonally from market to reach back to his house. The distance he travelled while returning is
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The sum of Rs. 300 is divided between A and B such that twice of A's share is less than 3 times B's share by Rs. 300. B's share is
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The perimeter of a rectangle is 240 cm. If its length is increased by $$10\%$$ and its breadth is decreased by $$20\%$$, the perimeter remains the same. The length and breadth of the original rectangle respectively are
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A man bought a refrigerator for Rs. 15200 and spent Rs. 300 as labour charges and Rs. 500 on its transportation. At what price should he sell it to make a gain of $$15\%$$?
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In a city, $$40\%$$ of the adults are uneducated while $$85\%$$ of the children are educated. If the ratio of the number of adults to that of the children is $$2 \colon 3$$, then what percent of the population is educated?
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Read the following statements carefully and choose the correct option.
Statement I - For all rational numbers $$x$$ and $$y$$, $$x - y = y - x$$.
Statement II - For all rational numbers $$x$$, $$y$$ and $$z$$, $$x + (y \times z) = (x + y) \times (x + z)$$.
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A can dig a trench in 12 days, B can dig it in 16 days and C can dig it in 18 days. If they dig the trench, working together and get a sum of Rs. 5800 for it, then share of A in the sum is
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A wire of length 88 cm was bent into the shape of a circle and then into a square. Which figure encloses more area and by how much? (Use $$\pi = \frac{22}{7}$$)
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There is a circular garden and a path runs outside it along its boundary. A man walks around it only once keeping close to the edge. His each step is 66 cm long and he takes exactly 400 steps to go around the garden. The diameter of the garden is (Use $$\pi = \frac{22}{7}$$)
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A train runs between two stations A and B. While running from A to B, its average speed is 60 km/hr and when running from B to A, its average speed is 90 km/hr. The average speed of the train during the two-way journey is
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The weights (in kg) of 8 children are 13.4, 10.6, 12.7, 17.2, 14.3, 15, 16.5, 9.8. Their median weight (in kg) is
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If surface area and volume of a cube are numerically equal, then the side of the cube is
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Which one of the following options is a top view of the below given figure?

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Following Bar-graph represents the manufacture and sale of an item by a firm in 4 months.

Total sale during the given months is what percent of the total manufacture during the month?
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Suresh earns Rs. 72000 per month. Distribution of his monthly earning is presented in the following pie-chart.

How much money he spends on household expenditures every month?
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Find the area of a closed figure ABCO, where $$A(0, 3)$$, $$B(4, 3)$$, $$C(4, 0)$$ and O is the origin.
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Four times the area of the curved surface of a cylinder is equal to 6 times the sum of the areas of its bases. If its height is 12 cm then its curved surface area correct to two decimal places is (use $$\pi = \frac{22}{7}$$)
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The cost of tiling 24 m wide rectangular plot is Rs. 39000. If the rate of tiling is Rs. 25 per sq. m, then the length of the plot is
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A square of side 60 m and rectangle of length 80 m have the same perimeter. The difference in their areas is
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By what number should $$(-8)^{-3}$$ be multiplied so that the product is equal to $$(-6)^{-3}$$?
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In the following three-digit numbers, values of A and B are
BAA + BAA = 3A8
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A three-digit number 2a3 is added to the number 326 to give a three-digit number 5b9 which is divisible by 9. The value of $$(b - a)$$ is
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Beena bought 160 kg apples at Rs. 50 per kg. She sold $$70\%$$ of the apples at Rs. 70 per kg and the remaining at Rs. 35 per kg. Beena's gain percent on the whole is
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If $$a \colon b \colon c = \frac{1}{3} \colon \frac{1}{6} \colon \frac{1}{9}$$, then the value of $$\frac{a^2 + b^2}{b^2 - c^2}$$ is
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The marked price of an article is Rs. 1500. A shopkeeper gives a discount of $$5\%$$ and still makes a profit of $$25\%$$. The cost price of the article is
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In a camp with 200 persons, there is enough food for 42 days. How long the food will last if 40 more persons join the camp on the first day?
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Study the following tables carefully and choose the correct option.

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Which of the following vary inversely?
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Five bells begin to toll together and toll again at intervals of 6, 5, 7, 10 and 12 seconds respectively. How many times will they toll together in one hour excluding the one at the start?
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Read the following statements carefully and choose the correct option.
Statement I - Number of the form $$3N + 2$$ will leave remainder 2 when divided by 3.
Statement II - If N upon dividing by 5 leaves remainder 3 and N upon dividing by 2 leaves remainder 0, then N upon dividing by 10 leaves remainder 4.
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Read the following statements carefully and choose the correct option.
Statement I - Triangle is a polygon whose sum of exterior angles is double the sum of its interior angles.
Statement II - If the sum of interior angles of a polygon is double the sum of its exterior angles, then it is a hexagon.
Statement III - If the interior angles of a triangle are in the ratio $$1 \colon 2 \colon 3$$, then the ratio of its exterior angles is $$3 \colon 2 \colon 1$$.
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7 men can do a piece of work in 16 days. The number of men required to do double the work in 8 days is
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A jar contains 6 red, 5 green, 4 blue and 5 yellow marbles of the same size. What is the probability that a red colour marble is chosen at random?
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A bag contains 16 cards bearing numbers from 1 to 16. One card is chosen at random. The probability that the chosen card bears a prime number is
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The average height of 30 boys was calculated to be 150 cm. It was found later that for one boy 165 cm was wrongly copied as 135 cm during computation of the average. The correct average is
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A polyhedron has 40 faces and 60 edges. The number of vertices of the polyhedron is
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The population of a city was 66,150 in 2005. If the population increased at the rate of $$5\%$$ per annum, then the population in 2003 was
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A sum of money invested at $$8\frac{1}{3}\%$$ per annum simple interest, amounted to Rs. 2475 in 1 year 9 months. What will it amount to in 2 years at $$5\%$$ per annum?
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For the given figure, which of the following is true?

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$$\sqrt{\sqrt[3]{343} + 3 \times \sqrt{289} - \sqrt[3]{729}} =$$
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The least square number which is exactly divisible by 3, 4, 5, 6 and 8 is
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The difference of two numbers is 988. If the cube root of the smaller of the two numbers is 7, then the cube root of the larger number is
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The lateral surface area of a cube is $$256\ \text{m}^2$$. The volume of the cube (in $$\text{m}^3$$) is
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In the figure, diagonals AC and BD of a parallelogram ABCD intersect each other at point O, such that $$\angle DAC = 45^\circ$$ and $$\angle AOB = 110^\circ$$. The measure of $$\angle DBC$$ is

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If the length of a rectangle is $$\left(\frac{2}{3}a^2 + \frac{2}{9}\right)$$ m and its breadth is $$\left(a^2 + \frac{1}{6}\right)$$ m, then the area of the rectangle (in $$\text{m}^2$$) is
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A wall of length $$(5x + 2)$$ unit and height $$6x$$ unit has a square window of side $$2x$$ unit and a door of width $$2x$$ unit and height $$3x$$ unit. Which of the following algebraic expressions gives the area of the wall to be painted?
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If the height of a triangle is $$(4x^2 + 6)$$ unit and the base of that triangle is $$(3x^2 - 4)$$ unit, then the area of the triangle in sq. unit is
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What should be added to $$4c(-a - 2b + c)$$ to obtain $$3c(a - b + c) - 2c(a + b - c)$$?
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Choose the number-group which is different from others.
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Replace the question mark (?) in the following figural series.
Choose the correct answer from the options given below.
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Select the correct mirror image of the following figure, where the mirror is placed on the line AB as shown below.

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Find the missing number (?) in the given series.
1, 2, 3, 5, 8, 13, 21, ?
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Find the missing term (?) in the following letter-number series.
3F, 6G, 11I, 18L, ?
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There is a certain relationship between two given words on the left side of $$\colon\colon$$. Choose correct alternative for the missing term (?) having the similar relationship with the third term.
Thermometer $$\colon$$ Temperature $$\colon\colon$$ Odometer $$\colon$$ ?
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Study the following information carefully and identify the appropriate 4-digit number.
Its tens place digit is 5 less than the digit at ones place.
Its ones place digit is the largest 1-digit even number.
Its hundreds place digit is the ones place digit of $$(758 - 354)$$.
Its thousands place digit is the sum of the digits at its tens place and hundreds place.
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Find the odd one out among the following words.
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Complete the following analogy.
DE $$\colon$$ 9 $$\colon\colon$$ FG $$\colon$$ ?
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Arrange the following in a logical and meaningful order.
(A) Doctor
(B) Recovery
(C) Illness
(D) Consultation
(E) Treatment
Choose the correct option from the following alternatives.
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How many triangles are there in the given figure?

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Find the missing term in the following series.
cba, cbaa, cbbaa, ?, ccbbaaa, ccbbbaaa
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Dheekshitha is making the given calendar for the bulletin board. Which day of the week should be on 25th January 20xx?

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A set of figures carrying certain numbers is given. The numbers in each set follow a similar pattern, based on that pattern find the value of 'P'.

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Replace the question mark (?) in the following figural series.

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According to a certain code if, PEDESTRIAN = 30, ACCIDENT = 24, and DRIVER = 18, then TRAFFIC is equal to
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If the cost of 3 pencils and 1 sharpner is Rs. 25, the cost of 2 sharpners and 2 erasers is Rs. 14 and the cost of 3 erasers is Rs. 9, then the cost of 1 pencil is
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How many ways can Mr. X reach his home?

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Anita is older than Chetna. Babita is older than Chetna but younger than Anita. Erric is younger than Divya and Chetna. Chetna is older than Divya. Who is in the middle with respect to their ages?
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Arrange the following words as per order in the dictionary.
(A) Conservation
(B) Conscience
(C) Consequence
(D) Consume
(E) Consciousness
Choose the correct option from the following.
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Find the missing number-pair (?, ?) in the given series.
(2, 3), (3, 5), (5, 7), (7, 11), (11, 13), (?, ?)
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Find the odd one out among the following terms.
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Complete the following analogy.
3 $$\colon$$ 30 $$\colon\colon$$ 6 $$\colon$$ ? $$\colon\colon$$ 7 $$\colon$$ 346
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If the code for 'RIGHT' is 'SJHIU', then what is the code for 'FINDS'?
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In the following arrangements of letters, how many 'G' are there which are followed by 'K' and preceded by N?
A K G L M N D N K G C S N G K T G K G N D Z P U N G K X G
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Fill in the blanks with the correct article.
It was such _____ foolish decision to accept _____ impossible task.
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Choose the word similar in meaning to the given word.
'Bleak'
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Fill in the blank with appropriate adverb.
_____ we escaped unhurt.
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Change the given sentence to Passive Voice.
Your behaviour annoyed me.
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Fill in the correct adverb from the following options to make a meaningful sentence.
We cannot play music _____ in this park.
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Change the given sentence to Indirect Narration.
Pawan said, "How beautiful the scene is!"
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Read the passage given below and answer the question that follows.
Mountain climbers are unanimous in agreeing that the unpredictable weather is what they fear the most. There may be sunshine one moment and a snowstorm the other. At higher altitudes, snow is a regular feature and being decisive about setting up camps or proceeding further is crucial. The icy sheets after ice storms make walking treacherous, while the powdery snow makes a mountaineer sink deep into the snow. Up there, where the intention is to embrace Nature's wonder, one realises that it cannot be done without facing its formidable glory. A true mountaineer may challenge the mountain, yet is always respectful to the powerful forces of nature.
Summiting mountains carries its own health risks such as oxygen and altitude sickness problems, frost bites, swelling of hands and feet, fluid collection in brain or lungs and exhaustion. Yet, the gratification mountaineers feel from mastering something that is so frightening, urges them to undertake these endeavours. We may think that the mountaineers are fearless, experts say, "Not at all. It's fear that keeps them so intrigued with such arduous journeys." Impulse and brazenness can be deadly foes. In the words of the Indian mountaineer, Bachendri Pal, "The biggest risk .... is to not take the risk at all. Remember that.
The reason given for calling the weather 'unpredictable' on the mountains, as given in the passage is
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The reason a true mountaineer is respectful to the forces of nature up in the mountains is
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Choose the inappropriate reason for the feeling of exhilaration on reaching a summit, that the mountain-climbers experience.
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The word from the passage that can be used to fill in the blank.
His _____ opponent beat him in no time in the boxing ring.
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The word from the passage that means same as "Involving a lot of effort and energy, especially over a period of time".
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Organize the parts to form a meaningful sentence.
A. Than I expected
B. Our players
C. Was rather worse
D. The performance of
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Choose the word opposite in meaning to the given word.
Abandon
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Spot the error in the following sentence.
She asked (A) / me that (B) / what (C) / had happened (D)
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Change the given sentence to Direct narration by choosing the correct option.
He said that Mangal would be working hard.
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Comparative degree of the adjective 'Most' is
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Fill in the blanks with appropriate choice.
I wrote a line on the sand with a _____ that she could not _____ before the waves washed it away.
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Choose the correct idiom for the blank.
Mediocre artists like Sheena are found _____.
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Choose the appropriate question tag.
We are going to the movie tonight, _____
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Find the correctly spelt word.
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Change the gender in the sentence.
He is a father and a teacher.
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Change the sentence from passive voice to active voice.
By whom was this beautiful glass broken?
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Choose the appropriate word for the blank to complete the sentence.
Today is the _____ day of my life, nothing seems to go as planned.
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Choose the word opposite in meaning of 'permit'.
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Choose the correct conjunction from the options given below to complete the sentence.
Though she worked hard, _____ she failed.
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Tremors are caused by the disturbance in the _____ of earth.
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The amount of heat energy produced on complete combustion of 1 kg of a fuel is called _____ value.
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Match the substances given in Column A with their uses given in Column B.
Column A
A. Gold
B. Iron
C. Mercury
D. Copper
Column B
I. Thermometer
II. Electric wires
III. Machinery
IV. Jewellery
Choose the correct answer from the options given below.
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The force exerted by a magnet is an example of
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Which of the following is NOT a Kharif crop?
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Which of the following may NOT be a cause of passing HIV virus from an infected person to a normal person?
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The major component of compressed natural gas (CNG) is
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Combustion is the chemical process in which substance reacts with _____ and produces heat.
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Which of the following is NOT a part of the animal cell?
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The animals which give birth to the young ones are called
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Special shapes are given to the objects moving in fluid to
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Identify the measures used to limit noise pollution.
(A) Minimise the use of automobile horns
(B) Planting trees along the roads
(C) Installing silencing devices in aircraft engines
(D) Cutting trees around the residential buildings
Choose the correct option from the following.
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Image formed by a plane mirror is
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Which of the following is the most reactive with water?
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Select the correct statements from the following.
When the electric current passes through a conducting solution
(A) Bubbles of the gas may be formed on the electrodes
(B) Deposits of metal may be seen on the electrode
(C) There is no change in colour of the solution
(D) Change in colour of the solution may occur<br>Choose the correct option from the following.
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Which of the following hormones helps the body to adjust to stress when one is very angry, embarrassed or worried?
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The method of preparing compost with the help of redworms is called
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The variety of organisms existing on the earth, their interrelationships and their relationship with the environment is called
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Which of the following is the first Reserve forest of India?
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Many young people get acne and pimples on the face during adolescence due to
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Match the following.
Member of Solar System
A. Satellite
B. Constellation
C. Comet
D. Star
Example
I. Cassiopeia
II. Sirius
III. Moon
IV. Halley
Choose the correct option from the answers given below.
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The percentage of different gases in air is
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Which is NOT a naturally occurring greenhouse gas?
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Match the organisms in Column A with their action in Column B.
Column A
A. Bacteria
B. Rhizobium
C. Protozoa
D. Virus
Column B
I. Fixing Nitrogen
II. Malaria
III. AIDS
IV. Tuberculosis
Choose the correct option from the answers given below.
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Microorganisms are classified into four major groups as
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Which one of the following is an example of Marine based industry?
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Which Article of the Constitution of India states that the practice of untouchability has been abolished?
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Which country is the largest producer of "Bauxite" in the world?
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Match List-I with List-II.
List-I
A. Diwan
B. Bakhshi
C. Faujdar
D. Kotwal
List-II
I. Financial Officer
II. Military Paymaster
III. Military Commander
IV. Police Commander
Choose the correct answer from the options given below.
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The full form of "CITIES" is
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The power of the judiciary to strike down particular laws passed by the Parliament if it believes them to be in violation of the basic structure of the Constitution is called _____.
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Which one among the following statements is NOT correct about the Gram Sabha?
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Which of the following statements are correct?
(A) Public facilities relate to people's basic needs.
(B) Public facilities are only for those who can afford them.
(C) The responsibility to provide public facilities lie with the government.
(D) The responsibility to provide public facilities lie with private companies.
Choose the correct answer from the options given below.
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Ibn Battuta, a fourteenth century traveller, was from which of the following countries?
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According to the Constitution of India, there are _____ organs of the government.
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Which of the following is a method for conservation of land resource?
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Which of the following is NOT a feature of a shopping complex?
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The Magnitude of the Earthquake is measured on
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Which of these is NOT a function of the Municipal Corporation?
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Sahara, the world's largest desert, is located in which of the following continents?
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Which one of the following is NOT a factor of soil formation?
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Which crop is also known as "Golden Fibre"?
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Gandhiji carried out the Dandi March to oppose which of the following?
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The last Mughal emperor was
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The Employment of Manual Scavengers and Construction of Dry Latrines (Prohibition) Act, was passed by the Government of India in which year?
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The difference between the birth rate and the death rate of a country is called the _____.
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Which one of the following is a Renewable Resource?
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The book titled "Amar Jiban" was written by
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What is the full form of "PIL"?
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The Azad Hind Fauj was raised by
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