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Organisation : Sri Sri Academy
Exam : IIT Ramaiah SAT Scholastic Aptitude Test
Document Type : Model Paper
Year : 2017
Website : http://www.srisriacademy.com/
Download Sample Question Paper : https://www.pdfquestion.in/uploads/25941-Sat.pdf

IIT Ramaiah SAT Model Paper

Time : Three Hours
Max. Marks : 180

Related : FIIT JEE National Talent Search Exam SAT Paper Model Class X : www.pdfquestion.in/7491.html

Mathematics

All answers to questions in Section – A, Section – B and Section – C must be supported by mathematical arguments. In each of these sections order of the questions must be maintained.

Section – A

This section has Four Questions. Each question is provided with 4 alternative answers. Exactly one of them is the correct answer. Indicate the correct answer by A, B, C, D. (4 x 3 = 12 M)

1. Two Circles having different radii are touching each other. A common tangent PQ is touching one circle at P and the other at Q. If PQ=12 then the product of their radii is equal to
A) 36 B) 24 C) 12 D) 8/3
2. If a, b, c and d are four real numbers such that a2+2b2+13c2+5d2-2ab+4bc-12cd-6d+9=0 then 2a+b+11c+2d is equal to
A) 0 B) 16 C) -28 D) 2017

3. On a level ground there is a tree and a building. A girl standing in front of the tree started backing until she could see just the top edge of the building from above the tree top. She marked her place and measured it from the tree and it was 5m. If tree height is 2.8m, her eyes at a height of 1.6m and distance between the tree and the building is 30m, height of the building in meters is
A) 20/3 B) 28 C) 14 D) 10

Section – B

1. Two chords AB and CD of a circle are intersecting in a point P. A relation between the lengths of all the line segments PA, PB, PC and PD is _______

2. ABC is an equilateral triangle of side ‘a’ units. Midpoint of the side BC is D. D is also the midpoint of the side PQ of a rectangle PQRS having its side PQ along BC. Also P is the midpoint of the line segment BD. If the vertex A of the triangle lies on the side RS of the rectangle, the area of the rectangle is ______

Section – C

1. If a and b are two positive integers greater than 20172017 and b-a>4034 then there exist at least one pair a, b such that the product (a-2017)(b+2017) is greater than the product (a+2017)(b-2017)

2. There is a diagram of a triangle ABC right angled at A and the perpendicular drawn from A onto the side BC is meeting the side BC in D. There are exactly two similar triangles in the diagram.
3. There is at least one system of linear equations ax + by = c, dx + ey = f, in variable x, y, having exactly 2017 solutions.

Physics

1. A body ‘A’ floats with 50% of volume submerged in a liquid B and 75% of its volume submerged in a liquid C. What is the ratio of the densities of A, B and C? What fraction of the body A will be seen above the surface of a homogenous mixture of equal volumes of the liquids B and C ?

2. A particle is moving along a straight line with constant acceleration. If the distance travelled by the body in nth and (n+1)th seconds is 100m, find it’s velocity at the end of the nth second.

3. Two particles A and B are moving around a circular path of radius 35 m at 2.2 m/s and 4.4 m/s respectively and are located as shown at a certain moment. Find the time elapsed before they meet. Also find the angle covered by A in this duration.

4. A block of 100g of ice at 0°C is added to some water at 40°C contained in a vessel of negligible water equivalent. What should be the least amount of water for entire block to melt? If the amount of water (at 40°C) is twice the required amount to just melt the block, what is the final temperature of the mixture?

5. A bright object is fixed at a distance of 100 cm from a wall. A convex lens placed between the object and the wall at position A forms a sharp image of the object magnified 4 times on the wall. Find the focal length of the lens. The lens is moved to a new position B to obtain sharp image again. Find the distance between positions A and B.

Chemistry

1. 80% of a first order chemical reaction completed in 100 sec., what time it will take for the completion of 99.2%
A) 200 sec B) 400 sec C) 300 sec D) 150 sec
2. If one mole of electrons per sec are passing through a point across metallic wire, calculate the charge in coloumbs passing in one sec. ___________
3. Out of the given metals Zn, Mg, Al, Be which will give H2 gas on reaction with NaOH solution ___________

4. Exactly 2 gm of NaOH is dissolved in water to makeup 1 litre of solution. The pH of the solution found to be higher than 7. The HCl gas is then bubbled through this solution at the rate of 1 gm/min. After how many minutes will the pH become 7 ? __________

5. The two elements A and B form the compounds A2B3 and AB2. If 0.5 mole of A2B3 weighs 15.9 grams and 0.15 mole of AB2 weighs 9.3 gm. Find the atomic weights of A and B__________