ARPIT Last 10 Years 2011-2021 Previous Question Papers
SET A
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ALL INDIA SAINIK SCHOOLS ENTRANCE EXAMINATION : 2020
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PAPER - MATHEMATICS, GK, LANGUAGE AND INTELLIGENCE TEST
? / CLASS - VI
| ? 2: 30 ? --- Content provided by FirstRanker.com --- Time: 2 hrs 30 minutes | 0019864 ? : 300 Max. Marks: 300 |
? ? /Name in Full : ________________________________ ? / Roll No. : ________________________________
? INSTRUCTIONS
- ? ? ? ? ? ? ? ? ? ? ? ? ? ? (OMR) ? ? ? ? ? ? '?' ? ? ? ? ? ? ? ? ? ? ? ? ? ? '?' ? ? ? '?' ? ? ? '?' ? ? ? ? '?', '?' ? '?' ? ? ? ? ? ? ? ? ? ? ? ? ? '?' ? ? ? ? ? ? ? ? ? ? ? ? ? ?
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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 3 marks each, Section "B" GK, 'C' Language and 'D' Intelligence contains 25 questions of 2 marks each respectively. Section C is language specific and is to be attempted in the chosen language. - ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
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. - ? (OMR) ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?, ? ? ? ? ? ?
Evaluation of OMR answer sheet will be done on a computer. Be careful and ensure no un- necessary 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 answers in Blue/Black ink only. Do not use pencil. - ? ? ? ? ?, ? ? ? ? ? 32 ? ? ?
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There are total 32 pages in the question paper.
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Class VI - SET A
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SECTION A - MATHEMATICS
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- ? ? ? ? ? ? ? ? ? ? ? ? ? 6, 2, 7, 4, 3 ? ? ? ? ? ? ? ? ? ? ?
Find the difference between the greatest and the least number that can be written using the digits 6, 2, 7, 4, 3 each only once.
(a) 52965 (b) 53965 (c) 52956 (d) 52659 - ? ? ? ? ? ? ? ? ? ? 5980 × 428 ? ? ?
Estimate the product 5980 × 428 by rounding off each number to the nearest hundreds--- Content provided by FirstRanker.com ---
(a) 236000 (b) 240000 (c) 2400000 (d) 3000000 - ? ? 3: 4: 5 ? ? ? ? ? ? ?.?.?. 2400 ? ? ?.?.?. ?
Three numbers are in the ratio of 3: 4: 5 and their L.C.M. is 2400. Their H.C.F. is
(a) 120 (b) 60 (c) 80 (d) 40 - ? ? ? ? 25 ? ? ? ? 100 ? ? ? ? ? ? ? ? 2/5 ? ? ? ? ?
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Leela reads 25 pages of a book containing 100 pages. Lalita read 2/5 of the same book. Who read less and by how much?
(a) Leela, 15 pages (b) Lalita, 15pages
(c) Leela, 20pages (d) Lalita, 20pages - (v625/11) X (14/v25) X (11/v196) ? ? ? ?/ is equal to
(a) 5 (b) 6 (c) 8 (d) 11
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Class VI - SET A
- ? ? ? ? ? ? 3 ? 20 ? ? ? ? ? ? ? 2 ? 5 ? ? ? ? ? ? ? ? ? ? ? ? ?
Naveen bought 3 m 20 cm cloth for his shirt and 2 m 5 cm cloth for his trousers. Find the total length of cloth bought by him.
(a) 5.7m (b) 5.25m (c) 4.25m (d) 5.00m - 3, 4 ? 9 ? ? ? ? ? ? (?.?.?.) ?
The least common multiple of 3, 4 and 9 is
(a) 36 (b) 12 (c) 27 (d) 45 - ? ? 5 ? ? 240 ? / ? ? ? ? ? ? ? ? ? ? ? ? ? 1 2/3 ? ? ? ? ? ?, ? ? ? ? ? ? ? ?
An aeroplane covers a certain distance at a speed of 240 km/h in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of ?--- Content provided by FirstRanker.com ---
(a) 300km/h (b) 360km/h (c) 600km/h (d) 720km/h - 'A' 16 ? ? ? ? ? ? ? ? ? ? ? ? ? ? 'B' 12 ? ? ? ? ? ? ? 'C' ? ? ? ? 4 ? ? ? ? ? ? ? ? 'C' ? ? ? ? ? ? ? ? ?
'A' can lay railway track between two given stations in 16 days and 'B' can do the same job in 12 days. With the help of 'C', they did the job in 4 days only. Then, 'C' alone can do the job in how many days?
(a) 9 1/5 days (b) 9 2/5 days (c) 9 3/5 days (d) 9 4/5 days - ? ?, ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
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In the figure, find the ratio of Number of triangles to the number of circles inside the rectangle and Number of squares to all the figures inside the rectangle.
(a) 3/2, 7 (b) 3/7, 7 (c) 2/7, 7 (d) 3, 2
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Class VI-SET A
- ?, ? ? ? ? ? ? ? ? ? ? ? ? 272 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
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Ram, Rahul and Rohit shared a bag of marbles. The bag contained 272 marbles. How many marbles were left over after the friends shared them equally?
(a) 90 (b) 91 (c) 6 (d) 2 - 4 ? ? ? ? 60 ? ? 12.50 ? ? ? ? ? ? ? ?
Cost of 4 dozens of bananas is Rs 60. How many bananas can be purchased for Rs 12.50?
(a) 10 (b) 15 (c) 12 (d)18 - ? ? ? 16 ? ? ? ? 50.25 ? ? ? ? 8 ? ? ? 45.15 ? ? ? ? ? ? ? ? ? ? ? ?
The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weight of all the boys in the class.
(a) 47.55kg (b) 48kg (c) 48.55kg (d) 49.25kg - ? ? ? ? ? ? ? ? ? ? ? ? 35 ? ? ? 20 ? ? ? 30 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?, ? ? 4 ? ? ? ? ? ? 3 ? ? ? ? ? ? ?
Manju runs around a rectangular park of length 35m and breadth 20m. Meenu runs around a square park of side 30m. Who covers less distance and by how much, if Meenu takes 4 rounds and Manju takes 3 rounds completely.--- Content provided by FirstRanker.com ---
(a) Meenu, 150m (b) Manju, 120m (c) Manju, 150m (d) Meenu, 120m - ? ? ? ? ? ? ? ? ?, ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
A photo frame is in the shape of a quadrilateral with one diagonal longer than the other. Which of the following is the possible shape of the photo frame?
(a) Square (b) Rectangle
(c) Rhombus (d) None of these
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Class VI-SET A
- ? ?-? ? ? ? ? ? ? ? ? ? ?:
The product of a non-zero whole number and its successor is always:
(a) Divisible by 3 (b) An odd number--- Content provided by FirstRanker.com ---
(c) A prime number (d) An even number - ? ? 5 ? ? 9% ? ? ? ? 4016.25 ? ? ? ? ?, ? ? ?
A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9% in 5 years. What is the sum?
(a) Rs.4462 (b) Rs.8032 (c) Rs.8900 (d) Rs.8925 - ? ? ? 6 ? ? ?, ? ? ? ? ? ? ? ? ? ?
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Find the angle measure between the hands of the clock when time shows 6 PM
(a) 90° (b)45° (c)180° (d)270° - 6 ? ? ? ? ? ? ? ?
Find the volume of a cube of side 6cm
(a) 216cm³ (b) 36cm³ (c) 72cm³ (d) 108cm³ - ? ? CDXXXIX ? ? ? ? ?-
Write Roman numeral CDXXXIX in Arabic numeral
(a) 439 (b) 449 (c) 529 (d) 539 - ? ? ? ? 1296 ? ? ? ? ? ? 16 ? ? ? ? ? ?
The product of two numbers is 1296. If one number is 16 times the other, find the smaller number.--- Content provided by FirstRanker.com ---
(a) 12 (b)16 (c)4 (d) 9 - ? ? ? ? 60° ? 3/4 ? ? ? ? ? ? ? ?
The measure of an angle is 3/4 of 60°. What is the measure of its complementary angle?
(a) 30° (b) 60° (c) 45° (d) 20°
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Class VI-SET A
- 5.675 ? 1.327 ? ? ? 8.362 ? 7.942 ? ? ? ?
Subtract the difference of 8.362 and 7.942 from the sum of 5.675 and 1.327
(a) 6.582 (b) 4.348 (c) 3.982 (d) 4.384
24. ? ? ? ? ?
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Find the perimeter of the figure:| 1 cm | 4 cm | |||
| 4 cm | 3 cm | 3 cm | 1 cm | |
| 2 cm | 3 cm | |||
| 3 cm | 2 cm | 2 cm | 4 cm | |
| 1 cm | 3 cm | 3 cm | ||
| 4 cm | 1 cm |
(a) 51 cm (b) 52 cm (c) 53 cm (d) 54 cm
- ? 450 ? ? ? ? ? ? ? ? ? ? ? 4.5% ? ? ? ? ? ? ? ? 81 ? ? ?
How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
(a) 3 years (b) 4 years (c) 6 years (d) 5 years - ? ? ?, ? ? ? ? ? ? 2 ? ? ? ? ? ? ? 3 ? ? ? ? ? ? ?
In a triangle, if the second angle is 2 times the first angle and the third angle is 3 times the first angle, find the angles of the triangle.
(a) 30°, 60°, 90° (b) 15°, 30°, 45° (c) 45°, 45°, 90° (d) 20°, 40°, 120° - ? ? ? ? 616 ? 2 ? ? ? ? ? (p = 22/7)
The area of a circle is 616cm². Find its diameter.--- Content provided by FirstRanker.com ---
(a) 28cm (b) 14cm (c) 56cm (d) 32cm - ? 53.016 ? 24 ? ? ? ? ? ? ?
Find the quotient when 53.016 is divided by 24.
(a) 2.29 (b) 2.209 (c) 2.292 (d) 2.029
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Class VI-SET A
- 60 ? ? ? 3 ? ? ? ? ? ? 25 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
A'rectangular path of 60m length and 3m width is covered by square tiles of side 25cm. Find the number of tiles used to make this path?
(a) 2250 (b) 1440 (c) 2880 (d) 1200 - 475 + 950 ? 64% = 900 + A, ? A ? ? ? ? ? ? ? ?
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What is the value of A in 475+64% of 950 = 900 + A
(a) 183 (b) 233 (c) 1983 (d) None of the above / ? ? ? ? - 216, 288 ? 720 ? ? ? ? ? ?
What will be HCF of 216, 288 and 720?
(a) 12 (b) 24 (c) 84 (d) 72 - ? ? (106 x 106 - 94 x 94) = ?
Solve (106 X 106-94 X 94) = ?
(a) 2400 (b) 2000 (c) 1904 (d) 1906 - ? ? ? ? 600 ? 70% ? ? ? ? ? 320 ? ? ?, ? ? ? ? ?
If 2/3 of 70% of 600 when subtracted from a number is 320, what is the number?--- Content provided by FirstRanker.com ---
(a) 300 (b) 600 (c) 720 (d) 500 - ? ? Rs. 1500 ? ? Rs. 1650 ? ? ? ? ? ? ? ? ?
A mobile phone is sold for Rs. 1650 after purchasing it for Rs. 1500. What is the percentage of profit?
(a) 10 (b) 15 (c) 20 (d) 16
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Class VI-SET A
- ? ? ? ? ? ? 25 ? ? ? ? ? ? 18 ? ? ? ? ? ? ? ? ? ? ? ? ? 22 ? ? ? ? ? ? ? ? ? ? ? ? ? ?
In the first test of mathematics a student gets 18 marks out of 25. In the second test of same weightage he got 22 marks. What percentage of marks did he get more in the second test?
(a) 4% (b) 8% (c) 16% (d) None of the above - 20 ? ? ? 18 ? ? ? ? ? ? 3 ? ? ? ? ? ? ?
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Average of 20 results is 18. If 3 is subtracted from each result, then what will be the new average?
(a) 21 (b) 15 (c) 16 (d) 17 - ? ? / Solve 7 2/3 -X- 3/5 ÷ 2 2/3 + 1 1/2
(a) 99/70 (b) 70/99 (c) 33/30 (d) 70/27 - ? 90.0675 ? 15 ? ? ? ? ?, ? ? ?
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If 90.0675 is divided by 15, then quotient is:
(a) 6.0045 (b) 6.0450 (c) 60.0450 (d) 0.6045 - 24 ? ? ? ? ? ? ?
How many seconds are there in 24 hours?
(a) 30 (b) 60 (c) 3600 (d) 86400
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Class VI-SET A
- v1089 +121 ? ? ? / Value is
(a) 3 (b) 13 (c) 33 (d) 53 - ? ? ABC ? ? A,B ? C ? 3x, 5x ? 8x+4 ? ? ? ? ? ? ? ?
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If angles A, B and C in a triangle ABC are 3x, 5x and 8x+4 respectively, then find all the three angles.
(a) 33,55,92 (b) 70,75,35 (c) 90, 75,15 (d) 90,95,100 - 37800 ? ? ? ? ? ?
What are Prime factors of 37800?
(a) 2 x2x3x3x5x5x7x7--- Content provided by FirstRanker.com ---
(b) 2x2x2x3x3x3x5x5x7
(c) 8 x 27 x 25 x 7
(d) 2 x 4 x 25 x 27 x 7 - (10% of 3.75 +15% of 7.25) ? ? ? ? ? / convert into decimal
(a) 1.4625 (b) 14.625 (c) 1.4652 (d) 14.652 - ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Which sequence correctly matches these angles with their measures.
(i) (ii) (iii) (iv)
(a) (i), (iii), (iv), (ii) (b)(i), (ii), (iii), (iv)
(c) (iv),(iii), (ii).(i) (d) (i), (iv),(iii), (ii) - ? ? ? ? ?, ? ? ? ? ? ? ?, ? ? ? ? ? ? ? ?
I am a prime number. If you subtract 2 from me, I become divisible by 7.
(a) 29 (b) 19 (c) 31 (d) 23
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Class VI-SET A
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? 46 ? 50 ? ? ? ? ? ? ? ? ?
For questions from 46 to 50 the following table has to be consulted.
| Name of the city | Temperature at 3 AM (°C) | Temperature at 3 PM (°C) |
|---|---|---|
| Chennai | 21.1 | 29.9 |
| Mumbai | 19.0 | 35.1 |
| Thiruvananthapuram | 21.6 | 33.5 |
| Kolkata | 13.1 | 26.6 |
| Bhopal | 9.8 | 25.9 |
| Srinagar | 1.3 | 8.1 |
| Guwahati | 12.8 |
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