ARPIT Last 10 Years 2011-2021 Previous Question Papers
1
SET - A
--- Content provided by FirstRanker.com ---
ALL INDIA SAINIK SCHOOLS ENTRANCE EXAMINATION: 2020
MATHS, ENGLISH, GENERAL SCIENCE, SOCIAL STUDIES AND INTELLIGENCE
CLASS-IX
| Time: 3 Hrs | 0007415 |
| Name in Full ................................................................. | Max. Marks: 400 |
| Roll No. ................................................................. |
- INSTRUCTIONS
This question paper contains FIVE sections and you have to answer all questions in the OMR answer sheet. Section "A" Mathematics contains 50 questions of 4 marks each. Section "B" English, Section "C" General Science, Section "D" Social Studies, and Section "E" Intelligence contain 25 questions each with 2 marks per question. - There is only one correct answer for each question. Darken only one bubble for each question. If you darken more than one bubble, your answer will be treated as wrong.
- Evaluation of OMR answer sheet will be done on a computer. Ensure no unnecessary markings are made on the OMR answer sheet. Do not fold or attempt to deface the OMR answer sheet. OMR sheets with multiple folds or defaced OMR sheet will not be evaluated.
- Rough work must be done on the additional two sheets only and NOT on the OMR answer sheet.
- Write your answer in Blue/Black ink only. Do not use pencil.
- There are total 28 pages in the question paper including two pages for the rough work
--- Content provided by FirstRanker.com ---
2
Class IX SET A
--- Content provided by FirstRanker.com ---
SECTION-A MATHEMATICS
- The value of
(a) (403/40) (b) (-203/40) (c) (-403/40) (d) (-303/40) - The abscissa of a point is its distance from the
(a) Origin (b) X-Axis (c) Y-Axis (d) None - What is the value of m, if (3/9)m x (3/9)-6 = (3/9)2m-1
--- Content provided by FirstRanker.com ---
(a) m = 1 (b) m=-2 (c) m=-1 (d) m = 2 - "If a number when divided by 4 leaves remainder 2 or 3", then which one is the correct statement?
(a) The number is not a perfect square (b) The number is a perfect square (c) The number is a prime number (d) None of these - The value of v(0.2304) + v(0.1764) / v(0.2304) - v(0.1764)
(a) 15 (b) 16 (c) 5 (d) 150 - Three numbers are in the ratio 2: 3: 4. The sum of their cubes is 33957. The numbers are
(a) 16, 24 and 32 (b) 12, 18 and 24 (c) 14, 21 and 28 (d) 18, 27 and 36 - Find the least square number divisible by each one of 8, 9 and 10:-
(a) 360 (b) 36 (c) 3600 (d) 3.6 x 102
--- Content provided by FirstRanker.com ---
--- Content provided by FirstRanker.com ---
3
Class IX SET A
- If 148101a095 is a multiple of 11, where a is a digit, the value of a is
(a) 0 (b) 4 (c) 1 (d) 2 - Find the value of A and B in
--- Content provided by FirstRanker.com ---
(a) A=5 and B=2 (b) A=5 and B=5 (c) A=2 and B=2 (d) A=2 and B=5 - Find the value of Z for which the number 471Z8 is divisible by 9.
(a) 4 (b) 5 (c) 7 (d) 8 - If the area of an equilateral triangle is 64v3 cm², then the side of the triangle is
(a) 18v3 cm (b) 9 cm (c) 16 cm (d) 3v2 cm - The value of (4m² - a² + 2ab -b²) / (2m+a-b) is
(a) (2m-a+b) (b) (2m-a-b) (c) (2m + a + b) (d) (2m+a-b) - The ratio between the speeds of two trains A and B is 3: 5. If train B runs 300km in 4 hours, the speed of train A will be
(a) 40 km/h (b) 60km/h (c) 30 km/h (d) 45 km/h - Two years ago, Dilip was three times as old as his son and two years hence, twice his age will be equal to five times that of his son. The present age of son and Dilip are
--- Content provided by FirstRanker.com ---
(a) 14, 38 years (b) 16, 40 years (c) 12, 36 years (d) None - The probability of getting a 7 in a single throw of a dice is:
(a) 1 (b) 0 (c) 1/6 (d) 1/2 - A's income is 60% more than that of B. By what percent is B's income less than A's?
(a) 37% (b) 37.5% (c) 36.5% (d) 36%
--- Content provided by FirstRanker.com ---
--- Content provided by FirstRanker.com ---
4
Class IX SET A
- By joining (-3, 2), (-3, -3) and (-3, 4), which of the following is obtained?
(a) A triangle (b) A straight line parallel to x- axis (c) A straight line parallel to y- axis (d) A straight line passing through origin - The number of times a particular observation occurs in a given data is called its
(a) Frequency (b) Range (c) Mean (d) none of these - By selling 33 m of cloth, a draper loses an amount equal to the selling price of 3 m of cloth. Find his gain or loss percent.
(a) gain 8 1/3 % (b) loss 8 1/3 % (c) gain 7% (d) loss 7% - Three cubes of metal whose edges are 6 cm, 8 cm and 10cm respectively are melted to form a single cube. The edge of the new cube is
--- Content provided by FirstRanker.com ---
(a) 24 cm (b) 20 cm (c) 18 cm (d) 12 cm - Find the single discount equivalent to two successive discounts of 20% and 10%
(a) 25% (b) 30% (c) 28% (d) 10% - *Which of the following is not a case of direct variation?
(a) Number of sheets of some kind are increased when their total weight is increased (b) More quantity of petrol is required to travel more distance with a fixed speed (c). More fees would be collected if number of students increase in a class (d) Time taken will be less, if number of workers is increased to complete the same work. - If a + b + c = 9 and ab + bc + ca = 23, then the value of a² + b² + c² equals to
(a) 35 (b) 81 (c) 127 (d) 217 - On dividing 200 into two parts, 2/3 of the first part and 1/2 of the second part are equal. The larger of the parts is
(a) 80 (b) 120 (c) 40 (d) 150
--- Content provided by FirstRanker.com ---
--- Content provided by FirstRanker.com ---
--- Content provided by FirstRanker.com ---
5
Class IX SET A
- On selling a fan for Rs 810, Sunil gains 8%. For how much did he purchase it?
(a) Rs 700 (b) Rs 675 (c) Rs 650 (d) Rs 750 - Find the value of x: 32x x 3x+3 x 34-x = (v3)10
--- Content provided by FirstRanker.com ---
(a) -1 (b) 0 (c) 1 (d) 2 - (3 (-a6x b3x c21)) / (c9x a12) =
(a) (-bc3) / a2 (b) (bc4) / a2 (c) -ab (d) (-bc4) / c2 - If n is a perfect cube, then every prime factor of 'n' occurs
(a). One time (b) Two times (c) Three times (d) Four times - Find the greatest number of four digits which is a perfect square.
(a) 9800 (b) 9864 (c) 9999 (d) 9801 - If the ratio of the ages (in years) of x and y, 8 years ago is 7: 6, then which of the following can be the sum of their ages 8 years from now?
(a) 82 (b) 97 (c) 75 (d) 94 - The age of the boy is one-fifth of the age of his mother and sum of the ages of the son and the mother is equal to the age of the father. After 15 years, the sum of the ages of the son and his mother will be four-third of his father's age. Find the ratio of the present ages of son, mother and father respectively.
--- Content provided by FirstRanker.com ---
(a) 1:5:7 (b) 2:10:10 (c) 1:5:6 (d) 2:8:9 - The ratio of the income of P and Q is 5: 4. The ratio of expenditure is 4: 3. The saving of P is more than that of Q by 16 2/3 %. What % of his income does P spend?
(a) 53 1/3 % (b) 53 2/3 % (c) 54 1/3 % (d) 51 2/3 % - Mohan invested a sum of Rs. 12,500 at 12% per annum compound interest. He received an amount of Rs. 15,680 after x year. Then the value of x is
(a) 1 (b) 4 (c) 3 (d) 2
--- Content provided by FirstRanker.com ---
--- Content provided by FirstRanker.com ---
6
Class IX SET A
- Find the compound interest on Rs 1, 25,000 for 9 months at 8% per annum, compounded quarterly.
(a) 7551 (b) 7651 (c) 7650 (d) 7655 - Pipe A can fill a tank in 12 hours and pipe B can empty the tank in 18 hours. Both pipes are opened at 6 AM and after some time, pipe B is closed and tank is full at 8 PM. At what time was the pipe B closed?
(a) 10 AM (b) 8 AM (c) 9 AM (d) 11 AM - A car covers 300 kms at a constant speed. If its speed was 10 kmph more, it would have taken 1 hour less to travel the same distance. Find the speed of the car.
(a) 60 kmph (b) 50 kmph (c) 40 kmph (d) 75 kmph - Two trains are travelling in opposite direction with speed of 25 m/s and 30 m/s respectively. If the length of one train is 300 m and that of the other train is 250 m, then find the time taken by the trains to cross each other.
--- Content provided by FirstRanker.com ---
(a) 8 s (b) 10s (c) 12 s (d) 14s - The sum of the digits of a two digit number is 9. If 27 is subtracted from the number then the digits get reversed. Find the number.
(a) 81 (b) 72 (c) 36 (d) 63 - There are some four-wheelers and six-wheelers in a garage. The total number of wheels of these vehicles is 120. The number of four-wheelers is 3/2 times the number of six- wheelers. Find the number of six-wheelers in the garage.
(a) 20 (b) 5 (c) 15 (d) 10 - What is the minimum interior angle possible for a regular polygon?
(a) 60° (b) 75° (c) 90° (d) None - What is the number of diagonals in a hexagon?
(a) 4 (b) 6 (c) 9 (d) 10 - In the adjacent figure, the bisectors of <A and <B meet at a point P. If <C = 100° and <D = 60° find the measure of <APB.
--- Content provided by FirstRanker.com ---
(a) 60° (b) 70° (c) 90° (d) 80°
--- Content provided by FirstRanker.com ---
--- Content provided by FirstRanker.com ---
7
Class IX SET A
- A square and a rectangle each have a perimeter of 40 m. The difference between areas of the two figures is 9m². What are the possible dimensions of the rectangle?
--- Content provided by FirstRanker.com ---
(a) 13m, 7m (b) 14m, 6m (c) 108m, 1m (d) 15m,5m - In a parallelogram ABCD, AB = 6 cm, BC = 5cm and AC = 7cm. Find the perpendicular distance between AB and CD.
(a) 6v6cm (b) 1.2v6cm (c) 5cm (d) 2v6cm - Some cubic metres of earth is dug out to sink a well which is 16 m deep and which has a radius of 3.5 m. If that amount of earth when taken out is spread over a rectangular plot of dimensions 25 m x 16 m, what is the height of the platforms so formed?
(a) 1.54 m (b) 1.50 m (c) 1.52 m (d) 1.53 m - What is the difference between the total surface area and curved surface area of a cylinder whose radius is equal to 10cm?
(a) 200p cm² (b) 300p cm² (c) 100p cm² (d) 10p cm² - The mean of six numbers is 15. If 2 is taken away from every number, the new mean would be
(a) 13 (b) 4 (c) 17 (d) 8 - The sides of the triangle are 45cm, 60cm and 75 cm. Find the length drawn to the longest side from its opposite vertex
--- Content provided by FirstRanker.com ---
(a) 27 cm (b) 21 cm (c) 39 cm (d) 36 cm - In the following figure, find the value of Y
(a) 50° (b) 65° (c) 60° (d) 70° - A cylindrical tank has a capacity of 5632 m³. If the diameter of its base is 16m, find its depth.
(a) 28 m (b) 25 m (c) 16 m (d) 29 m
--- Content provided by FirstRanker.com ---
--- Content provided by FirstRanker.com ---
8
Class IX SET A
SECTION B ENGLISH
- Candidates must __________ the general conditions for admission.
(a) do (b) prepare (c) satisfy (d) create - He resorts __________ sharp practice in his dealings.
(a) at (b) to (c) in (d) for - __________ English is an international language.
(a) No article (b) The (c) A (d) An - The word 'Industrious' means.
--- Content provided by FirstRanker.com ---
(a) Working in industry (b) Labour in factory (c) Hard working (d) Laid back - Choose the correct order to make the sentence below meaningful:-
Wear/these/people/almost/a/majority/of/days/a watch
1 2 3 4 5 6 7 8 9
(a) 456731928 (b) 457613829 (c) 456792318 (d) 456731289 - Select the word closest in meaning to "Mortal"
(a) Recurrent (b) Trivial (c) Fatal (d) Eternal - Mark the word with the correct spelling
(a) Maintenance (b) Maintennance (c) Maintanance (d) Maintainance - The coach insisted that Ronaldo __________ the centre position, even though he's too short for that position. (Use the correct verb)
--- Content provided by FirstRanker.com ---
(a) play (b) played (c) plays (d) none of these - __________ King of Scotland saw __________ spider trying to climb up to __________ ceiling of the cave. (Use Articles)
(a) The, a, the (b) A, a, the (c) No article, a, no article (d) The, a, no article
--- Content provided by FirstRanker.com ---
--- Content provided by FirstRanker.com ---
9
--- Content provided by FirstRanker.com ---
Class IX SET A
- Raju relishes not only Chinese __________ continental food. (Use appropriate Conjunction)
(a) also (b) but (c) but also (d) rather - You must learn..... English every day to improve it. (Use appropriate determiner)
(a) a few (b) a little (c) a lot of (d) none of these - Arrange the jumbled words to form a meaningful sentence
most/inventor/world/Thomas/Alva/Edison/the/in/is/remarkable/the
(a) The remarkable inventor in the most world is Thomas Alva Edison. (b) Thomas Alva Edison is the most remarkable inventor in the world. (c) Is the most remarkable inventor in the world Thomas Alva Edison. (d) In the world most remarkable inventor is Thomas Alva Edison. - Why does the moon play a greater role than the sun in causing tides?
(a) The moon is closer to the earth as compared to the sun. (b) The moon has greater gravitational pull. (c) The moon shines in night. (d) None of the above. - How are tides useful for the economy of the country?
(a) Tides bring treasure of sea with them. (b) During high tides, big ships can reach the ports thus opening new vistas for business. (c) Tides destroy enemies of the country. (d) None of the above.
--- Content provided by FirstRanker.com ---
--- Content provided by FirstRanker.com ---
10
Class IX SET A
--- Content provided by FirstRanker.com ---
- How are tides useful in cold countries?
(a) They bring fish for eating. (b) They bring water for drinking. (c) They don't allow sea water to be frozen. (d) They keep the port silted. - How can tides solve the power problem of the world?
(a) Electricity is being produced through tidal waves. (b) Tidal waves keep the steamers in motion. (c) Tidal waves melt the ice and save power. (d) None of the above. - Which word in the passage means 'to bring under control'?
--- Content provided by FirstRanker.com ---
(a) Proximity (b) Silted (c) Immense (d) Harness - She plays better than __________ do. (Choose appropriate pronoun)
(a) I (b) my (c) may (d) myself - I __________ in a school in Delhi since 2017. (Choose appropriate form of tense)
(a) has studied (b) has been studying (c) have been studying (d) will study - There isn't any smog in the Highlands of Scotland, __________? (Choose appropriate question tag)
(a) aren't it (b) isn't it (c) is there (d) there isn't - Choose the best meaning of the Idiom "to play to the gallery"
(a) to watch the play with interest (b) to enact the play in the gallery (c) to endeavour to gain cheap popularity (d) to sit comfortably - The speckled tortoise walks steadfastly towards his goal? (Choose the adverb)
--- Content provided by FirstRanker.com ---
(a) speckled (b) steadfastly (c) towards (d) goal - I wrote an article for the school magazine. (Change from active to passive voice)
(a) An article for the school magazine I had written. (b) An article was written by me for the school magazine. (c) I have written an article for the school magazine. (d) The school magazine and an article I wrote for. - Empty vessels __________ much noise. (Select the correct form of verb)
(a) make (b) are making (c) have made (d) makes - Gullible __________ (Choose the word with opposite meaning)
(a) trusting (b) cynical (c) clever (d) resourceful
--- Content provided by FirstRanker.com ---
--- Content provided by FirstRanker.com ---
11
Class IX SET A
--- Content provided by FirstRanker.com ---
SECTION: C GENERAL SCIENCE
- The metal present in Chlorophyll is:-
(a) Iron (b) Calcium (c) Oxygen (d) Magnesium - Name the gas present in LPG:-
(a) Hydrogen (b) Oxygen (c) Methane (d) Butane - Which gas is used to replace CFC?
--- Content provided by FirstRanker.com ---
(a) HCFC (b) RCFC (c) DHFC (d) HHFC - The first Menstrual flow at puberty is termed:-
(a) Menopause (b) Menstruation (c) Puberty flow (d) Menarche - Which among the following statement is incorrect about all organelles?
(a) They are found in all Eukaryotic cells. (b) They are found in Multi cellular organisms only (c) They coordinate to produce new cell. (d) They are small sized and mostly internal. - The boy is pulling a cart by a force of 100N. The frictional force experienced by the cart is 20 N. The force causing the motion of the cart is :-
(a) 100 N (b) 120 N (c) 80 N (d) 5 N - The cans used for storing food are made by electroplating:-
(a) Silver onto iron (b) Chromium onto iron (c) Gold onto iron (d) Tin onto iron - The impression of an image does not vanish immediately from the retina. It persists for :-
--- Content provided by FirstRanker.com ---
(a) (1/60)th of a second (b) (1/12)th of a second (c) (1/6)th of a second (d) (1/16)th of a second - The Sun appears to rise in the East and set in the West because:-
(a) Earth rotates from East to West on its axis. (b) Earth rotates from West to East on its axis. (c) The Sun is at the centre of universe. (d) None of these.
--- Content provided by FirstRanker.com ---
--- Content provided by FirstRanker.com ---
This download link is referred from the post: ARPIT Last 10 Years 2011-2021 Previous Question Papers