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ALL INDIA SAINIK SCHOOLS ENTRANCE EXAMINATION: 2019
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PAPER I – MATHS, ENGLISH, GENERAL SCIENCE AND SOCIAL STUDIES
CLASS - IX
0023676
Time: 2½ Hrs Max. Marks: 350
Name in Full ................................................... Roll No. ...................................................
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INSTRUCTIONS
- This question paper contains FOUR 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" Gen Science and Section "D" Social Studies contains 25 questions of 2 marks each respectively.
- Paper II (Intelligence paper) contains 25 questions. The Question Paper will be given after 2 ½ hours. Answers for Paper II are also to be written in the same OMR answer sheet.
- 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. Be careful and ensure no unnecessary marks on the OMR answer sheet/ fold or attempt to deface the OMR answer sheet, otherwise it will not be evaluated.
- Rough work must be done on the additional sheet only and NOT on OMR answer sheet.
- Write your answer in Blue/Black ink only. Do not use pencil.
- There are total 16 pages in the question paper including two pages for rough work.
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SECTION A
MATHEMATICS
- With the help of ruler and compass it is not possible to construct an angle of:-
- 22.5°
- 37.5°
- 67.5°
- 40°
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- What time period is taken when interest is calculated half yearly?
- twice as much as the number of given years
- half as much as the number of given years
- same as the number of given years
- none of these
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- If a number is doubled then which of the following is a correct statement?
- Its cube is two times the cube of the given number.
- Its cube is three times the cube of the given number.
- Its cube is six times the cube of the given number.
- Its cube is eight times the cube of the given number.
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- Which of the following is the cube root of -64/243?
- 7/4
- -7/4
- 4/7
- -4/7
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- [(1/2)-1 + (2/3)2 - (3/4)-1]-2 is equal to:
- 81/484
- 81/169
- 169/81
- 16/81
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- Which of the following is equal to x3 - 225x
- x(1-15x) (1 + 15x)
- x(x-15) (x + 15)
- x(1-15x) (1 – 15x)
- x(1 + 15x) (1 – 15x)
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- The points (-3, 2) and (2, -3) represent:
- different points
- same point
- the origin
- none of these.
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- If the dimensions of a room are l, b and h, (l ? length, b? breadth and h? height) them which of the following is the area of its four walls?
- 2 h(l + b)
- 2 h (l + h)
- 2 l(h + h)
- 2 h + l + b
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- If [1X 2Y 6Z] is a number divisible by 9, then the least value of X + Y + Z is:
- 0
- 1
- 6
- 9
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- Which of the following is the Multiplicative identity for rational numbers?
- 1
- -1
- 0
- None of these
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- The mid value of a class interval is 42. If the class size is 10, then the upper and lower limits of the class are:-
- 37.5 and 47.5
- 47 and 37(c) 37 & 47
- 47.5 and 37.5
- The speed of a car is 54½ Km/hr . The distance travelled by it in 7/2 hours 35/2 minutes is
- 999/48 Km
- 9929/48 Km
- 9919/48 Km
- 9919/28 Km
- The ages of A and B are in the ratio of 5:7. Four years from now the ratio of their ages will be 3:4. The present age of B is.
- 20 Years
- 28 Years
- 15 Years
- 21 Years
- 36 is divided into parts such that 5 times the first part added to 3 times the second part makes 142. The two parts are :-
- 10 and 26
- 12 and 24
- 15 and 21
- 17 and 19
- Divide Rs 1500 into two parts so that 10% of the larger part exceeds 8% of smaller part by Rs 60. The value of larger and smaller parts are
- Rs 1200 and Rs 300
- Rs 850 and Rs 650
- Rs 900 and Rs 600
- Rs 1000 and Rs 500
- The value of x+y+z in the adjoining figure is
- 180°
- 270°
- 360°
- 720°
- If an exterior angle of a regular polygon is of measure12º, then the number of its sides is?
- 12
- 18
- 22
- 30
- The smallest whole number by which 44 should be multiplied so as to make it a perfect square is
- 4
- 11
- 6
- 5
- There are 12321 workers in a factory. They stand in such a way that the number of workers in each row is equal to the number of rows. How many workers stand in each row?
- 111
- 121
- 131
- 141
- Cubical boxes of volume 15625 cm³ each are put in a cubical store of side 2.5m. How many such boxes can be put in the store?
- 100
- 250
- 500
- 1000
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- If a2 + 1/a2 = 27, then the value of a - 1/a
- ±4
- ± 3
- ± 6
- ± 5
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- If the sum of the lengths of bases of a trapezium is 12 cm and area is 14.1 cm², then its altitude will be
- 2.35 cm
- 4.70 cm
- 9.40 cm
- 1 cm
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- If the length, width and height of a cuboid are 4.2 m, 3 m and 1.1 m, then its capacity in litres will be
- 12860 litres
- 13860 litres
- 14860 litres
- 15860 litres
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- A road roller is 350 cm long and its diameter is 84 cm. It takes 500 complete revolutions to travel the road. The area covered by it in m² will be
- 4620
- 6420
- 2460
- 4260
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- A solid cuboidal piece of wood measures 3 m x 2.5 m x 8 cm. Find the weight of the piece if 1 cubic cm of wood weighs 9 grams.
- 4500 kg
- 5000 kg
- 5400 kg
- 5600 kg
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- A well was dug with 14 m inner diameter and was 8 m deep. The earth dug out of it was evenly spread out on a rectangular plot of size 10 m B 8 m. Find the raise in the height of the plot.
- 15.6 m
- 15.4 m
- 15 m
- 15.5 m
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- If 53x+4 = 25 X 54x-1 then the value of x is:
- -3
- -5
- 5
- 3
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- Sum of the digits of a two-digit number is 9. If 9 is subtracted from the number, the digits interchange their places. The original number is
- 81
- 54
- 72
- 45
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- You are given the multiplication of two numbers as below:
5 A 3
x B 2
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1 C 4 6
+2 D 9 2
E 1 F G 6
The values of the letters A, B, C, D, E, F and G are
- A = 2, B = 4, C = 0, D = 0, E = 2, F = 9, G = 6
- A = 7, B = 4, C = 1, D = 0, E = 2, F = 0, G = 6
- A = 2, B = 4, C = 1, D = 0, E = 2, F = 0, G = 6
- A = 7, B = 4, C = 0, D = 9, E = 2, F = 9, G = 6
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- From a pack of 52 playing cards, one card is drawn at random. The probability of the drawn card being a black ten or a king is
- 5/26
- 3/26
- 3/13
- 2/13
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- A spider is climbing a wall. It climbs up 5 cm, falls back 3 cm, climbs up another 4 cm, falls back 6 cm and climbs up another 5 cm. How far the spider has climbed from its starting point?
- 5 cm
- 6 cm
- 4 cm
- 23 cm
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- What will be the amount and compound interest on Rs.5000 in 3 years if the rate of interest is 4% for the first year, 3% for the second year and 2% for the third year.
- Rs.5436.12 and Rs.436.12
- Rs.5563.12 and Rs.563.12
- Rs.5063.12 and Rs.63.12
- Rs.5463.12 and Rs.463.12
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- The smallest square number which is divisible by each one of the numbers 8, 9,10 is
- 2600
- 3600
- 2900
- 3900
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- If 25% of a number is less than 18% of 650 by 19, then find the number
- 293
- 329
- 239
- 392
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- If the Cost price is 25% of selling price then the profit percentage is
- 300%
- 305%
- 350%
- 355%
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- Area of a rectangle whose length is 4ab and breadth is 6b2 is
- 24ab
- 24ab2
- 24ab3
- 24ab4
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- The total surface area of a cone having its slant height 9 dm and diameter of its base as 24 dm is
- 792 sq dm
- 729 sq dm
- 279 sq dm
- 297 sq.dm
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- A Cube of side 4 cm contains a sphere touching its side. Then the Volume of the gap in between is
- 30 cu.cm
- 30.48 cu.cm
- 30.84 cu.cm
- 31 cu.cm
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- A chord of a Circle is of length 6 cm and it is at a distance of 4 cm from the centre. Find the radius of the circle
- 3 cm
- 4 cm
- 5 cm
- 6 cm
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- The mean of 40 observations was 160. It was detected on rechecking that the value of 165 was wrongly copied as 125 for computation of mean. Find the correct mean
- 161
- 159
- 166
- 111
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- If x+y =12 and xy = 27 then the value of x3 + y3
- 756
- 765
- 567
- 576
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- In what time will a sum of money double itself at 6¼% p.a on simple interest
- 13 years
- 14 years
- 15 years
- 16 years
- In a triangle ABC, E is the midpoint of median AD. Then the area of ? BED is
- Area of ?ABC
- 0
- ½ (area of ?ABC)
- ¼ (area of ?ABC)
- The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases
- 1:4
- 1:2
- 4:1
- 2:1
- Two isosceles triangles have equal vertical angles and their areas in the ratio 25: 36. Find the ratio of their corresponding heights
- 4:5
- 5:6
- 6:7
- 5:7
- The face value of each share is Rs 10. If dividend is 16% then what will be the income from 600 shares?
- Rs 900
- Rs 960
- Rs 860
- Rs 800
- A solid gold ball of radius 7 cm was melted and then drawn into a wire of diameter 0.2 cm. Find the length of the wire.
- 457.33 m
- 475.33 m
- 547.33 m
- 745.33 m
- A horse is tethered for grazing inside a rectangular field 70 m by 52 m and is tethered to one corner by a rope 21 m long. How much area can it graze?
- 346.5 sq m
- 340 sq m
- 349.5 sq m
- 348.5 sq m
- A race boat covers a distance of 66 km downstream in 110 minutes. It covers the same distance upstream in 120 minutes. The speed of the boat in still water is 34.5 km/hr. The speed of the stream will be
- 1.5 km/hr
- 2 km/hr
- 2.5 km/hr
- 3 km/hr
- The value of 100012
- 1002001
- 100201
- 100020001
- 1000201
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SECTION B
ENGLISH
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- The correctly punctuated sentence is :-
- Mina said, wheres' Kishore?
- Mina said where's kishore !
- Mina said, 'Where's Kishore ?'
- Mina said, 'Wheres' kishore !'
- 'TO LET THE CAT OUT OF THE BAG' means :-
- To jump out of a problem
- Have a pet animal
- To feel extremely happy
- Reveal something that was kept a secret before
- Choose the correct order to make the sentence below meaningful :-
Month / while/ Mumbai/ Last/ it/ in/ happened/ living / I was
1 2 3 4 5 6 7 8 9
- 189275634
- 123456789
- 5 7 8 9 24361
- 572986341
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- The adjective from of 'ADVANTAGE' is :
- advantageous
- advantagly
- advantage
- advantagement
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- The active voice of - "He had not been invited by us" is :-
- We had been invited by us.
- We had invited by him.
- We had not invited him.
- We had not invited by us.
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- Identify the tense in the sentence given below :-
When I arrived Ram had just left.
- Present Perfect
- Present Continuous
- Past Perfect
- Past Continuous
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- The synonym of the word 'SPLENDID' is :-
- Shortage
- Insignificant
- impressive
- excess
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- The word 'brittle' means
- not easily breakable
- easily breakable
- easily understandable
- easily portable
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Find out the part containing error in the given statement.
- He is one of the talented student in our class.
- He is one of the
- talented student
- in our class
- no error
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- The thief was taken to the nearby police station.
- The thief was
- taken to the
- nearby police station
- no error
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Fill in the blank by choosing the appropriate preposition from the given options.
- They have gone ________ an excursion.
- to
- for
- with
- on
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- The team rebelled ________ the captain.
- upon
- over
- with
- against
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Choose the correct option if the given statements are changed into comparative degree.
- Silver is one of the most useful metals.
- Silver is useful to any other metal.
- Silver is useful than any other metal.
- Silver is more useful than all other metals.
- Silver is more useful than most of the metals.
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- Learning Italian is not as difficult as learning Japanese.
- Learning Japanese is more difficult to learning Italian.
- Learning Italian is not difficult than learning Japanese.
- Learning Japanese is more difficult than learning in Italian.
- Learning Japanese is more difficult than learning Italian.
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- The adjective form of 'apathy' is
- apathetically
- apathical
- apathetic
- pathetic
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- The noun form of 'Proud' is
- proudy
- pride
- proudly
- proudliness
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Read the following passage and answer the questions that follow.
Books are by far, the most lasting product of human effort. Temples crumble into ruins. Pictures and statues decay, but books survive. Time does not destroy the great thoughts which are as fresh today as when they first passed through the author's mind ages ago. The only effect of time has been to throw out the bad products, for nothing in literature can survive long unless it is really good and of lasting value. Books introduce us to the best society; they bring us into the presence of the greatest minds that have ever lived, we hear what they said and did; we see them as if they were really alive, we sympathize with them, enjoy with them and grieve with them.
- According to the passage, books live forever because
- They have productive value.
- Time does not destroy great thoughts.
- They are in printed form.
- They have the power to influence people.
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- According to the passage, temples, pictures and statues belong to the same category because
- All of them are beautiful.
- All of them are substantial.
- All of them are likely to decay.
- All of them are fashioned by men.
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- Books introduce us into the best society as
- They give us a glimpse of the greatest minds.
- They take us to the world of imagination.
- They instill in us the qualities of the greatest minds.
- They introduce us to elite class of the society.
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- Radha," I won't buy a new car". (Choose the correct word to fill in the blank.)
Radha said that she ________ buy a new car.
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- won't
- will
- wouldn't
- would
- They will ask you a lot of questions at the interview. The sentence, when converted into the passive voice, would read as:
- You are asked a lot of questions at the interview.
- You were being asked a lot of questions at the interview.
- You will be asked a lot of questions at the interview.
- You are being asked a lot of questions at the interview.
- The phrase in cold blood means
- Indifferently
- cruelly
- thoughtlessly
- deliberately
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- The workers went out of the factory ________ to hold a protest rally. (Choose the correct word to fill in the blank.)
- en masse
- en route
- impasse
- de facto
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- To put up with means
- to close
- to prolong
- to tolerate
- to forget
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- Fill in the blank with a possessive pronoun chosen from those given below.
Mani declared that the book was not________
- our
- her
- your
- hers
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SECTION C
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GENERAL SCIENCE
- Rhizobium bacteria:-
- Help in digestion
- Help in nitrogen fixation
- Cause diseases
- All of the above
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