IIT Ramaiah SAT April 21 2019 Question Paper

IIT Ramaiah SAT April 21 2019 - Question 1

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In $$\triangle ABC$$, $$P$$ is a point on the line segment $$BC$$. A line $$l$$ parallel to the side $$BC$$ intersects the line segments $$AB$$, $$AP$$ and $$AC$$ in $$D$$, $$E$$, $$F$$, respectively, such that $$AD = 2019\,DB$$. Then $$\frac{AE \cdot FC}{AF \cdot EP}$$ is equal to

A

2019

B

2017

C

1

D

$$\frac{2019}{2020}$$

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IIT Ramaiah SAT April 21 2019 - Question 2

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If the domain of $$f(x)$$ is the largest possible subset of natural numbers such that $$f(x) = \sqrt{676x - x^2 - 2019}$$ is defined then the number of elements in the domain of $$f(x)$$ is

A

2019

B

676

C

670

D

671

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IIT Ramaiah SAT April 21 2019 - Question 3

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If $$D(3, -1)$$, $$E(2, 6)$$ and $$F(-5, 7)$$ are the mid points of the sides of $$\triangle ABC$$ then the area of $$\triangle ABC$$ is

A

24

B

48

C

72

D

96

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IIT Ramaiah SAT April 21 2019 - Question 4

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In $$\triangle ABC$$, $$AB = x$$, $$AC = y$$. If $$D$$ is a point on the side $$BC$$ such that $$AD$$ is the internal angle bisector of the angle $$A$$ then $$BC \colon BD$$ is

A

$$x + y \colon x$$

B

$$xy \colon x$$

C

$$1 \colon x$$

D

$$xy \colon y$$

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IIT Ramaiah SAT April 21 2019 - Question 5

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A function $$f \colon \mathbb{R} \rightarrow \mathbb{R}$$ is defined by $$f(x) = |x - 1| + |x - 2| + |x - 3|$$ for all real numbers $$x$$. Then

A

$$f(x) = 6 - 3x$$, for all $$x < 0$$

B

$$f(x) = x$$, for all $$x < 2$$

C

$$f(x) = 6 - 3x$$, for all $$x > 2019$$

D

$$f(x) = 3x + 6$$, for all $$x < 2019$$

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IIT Ramaiah SAT April 21 2019 - Question 6

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In $$\triangle ABC$$, $$AB = 4$$, $$AC = 6$$, $$BC = 9$$. If $$D$$ is a point on $$\overline{BC}$$ such that $$3BD = 2DC$$ then $$\frac{\angle BAD}{\angle CAD}$$ is

A

$$\frac{2}{3}$$

B

$$\frac{3}{2}$$

C

$$\frac{4}{9}$$

D

1

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IIT Ramaiah SAT April 21 2019 - Question 7

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Sum of the solutions of the equation $$[x] + 4 = 2x$$ is ($$[x]$$ denotes the greatest integer less than or equal to $$x$$)

A

7

B

7.5

C

2019

D

not finite

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IIT Ramaiah SAT April 21 2019 - Question 8

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Triangles $$ABC$$, $$DEF$$ are two similar triangles such that $$\angle B = \angle E = 90^\circ$$, $$AB = 8$$, $$BC = 9$$ and area of the triangle $$DEF$$ is 100 then $$\frac{AC}{DF}$$ is

A

$$\frac{3}{5}$$

B

$$\frac{2}{3}$$

C

$$\frac{3}{2}$$

D

$$\frac{9}{25}$$

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IIT Ramaiah SAT April 21 2019 - Question 9

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In a triangle $$ABC$$, $$\angle A = 40^\circ$$, $$\angle B = 60^\circ$$. If the bisector of angle $$A$$ meets the circum circle of triangle $$ABC$$ in $$X$$ then the angle subtended by the segment $$BX$$ at the circum-centre is

A

$$20^\circ$$

B

$$30^\circ$$

C

$$40^\circ$$

D

$$45^\circ$$

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IIT Ramaiah SAT April 21 2019 - Question 10

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Statement 1 - If $$x$$ is a real number such that $$\sqrt{x^2} = 4$$ then $$x = 4$$.<br>Statement 2 - If $$x$$ is a real number such that $$\sqrt{x^2} = 9$$ then $$x = \pm 3$$.

A

Both the statements are true

B

Statement 1 is true but Statement 2 is false

C

Both the statements are false

D

Statement 2 is true but Statement 1 is false

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IIT Ramaiah SAT April 21 2019 - Question 11

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$$E$$, $$F$$ are the mid points of the sides $$BC$$ and $$CA$$, respectively, of $$\triangle ABC$$ right angled at $$B$$ and of area 24. Area of the triangle $$CEF$$ is

A

6

B

4

C

8

D

$$\sqrt{24}$$

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IIT Ramaiah SAT April 21 2019 - Question 12

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Statement I - Two similar triangles of equal area are congruent.<br>Statement II - $$ABCD$$ is a square. Area of the equilateral triangle having one of its sides as $$AC$$ is equal to $$\sqrt{2}$$ times the area of the equilateral triangle having one of its sides as $$AB$$.

A

Both the statements are true

B

Statement I is true, Statement II is false

C

Statement I is false, Statement II is true

D

Both the statements are false

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IIT Ramaiah SAT April 21 2019 - Question 13

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One end of a diameter of a circle having centre at $$(-2, 5)$$ is $$(2, 3)$$. The other end of the diameter is

A

$$(2, -5)$$

B

$$(-6, 7)$$

C

$$(0, 2)$$

D

$$(0, -2)$$

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IIT Ramaiah SAT April 21 2019 - Question 14

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If a trapezium is cyclic then

A

its parallel sides are equal

B

its non parallel sides are equal

C

its diagonals are not equal

D

it must be a rectangle

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IIT Ramaiah SAT April 21 2019 - Question 15

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The points $$(a, 0)$$, $$(0, a)$$, $$(-a, 0)$$ and $$(0, -a)$$ are the vertices of a

A

square

B

parallelogram but not a rhombus

C

rectangle but not a square

D

rhombus but not a square

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IIT Ramaiah SAT April 21 2019 - Question 16

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Suppose $$O$$ is the circumcentre of $$\triangle ABC$$ such that $$O$$ lies inside the triangle. If angle $$BOA$$ is $$110^\circ$$ and angle $$COA$$ is $$90^\circ$$ then angle $$BAC$$ is

A

$$20^\circ$$

B

$$60^\circ$$

C

$$80^\circ$$

D

$$40^\circ$$

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IIT Ramaiah SAT April 21 2019 - Question 17

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If $$f(x) = \frac{x^4 + x^2 + 1}{x^2 - x + 1}$$, then the minimum value of $$f(x)$$ is

A

$$\frac{1}{4}$$

B

$$\frac{3}{4}$$

C

$$-\frac{1}{4}$$

D

$$-\frac{3}{4}$$

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IIT Ramaiah SAT April 21 2019 - Question 18

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Two equal circles having centres at $$A$$ and $$B$$ are intersecting in two points $$P$$ and $$Q$$. If $$AB = 8$$ and $$PQ = 6$$ then the radius of the circles is

A

2

B

4

C

5

D

7

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IIT Ramaiah SAT April 21 2019 - Question 19

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When $$x^4 + ax^3 + 5x^2 + 8x - 31$$ is divided by $$x - 2$$ the remainder is 5 then $$a$$ is

A

3

B

$$-2$$

C

2

D

5

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IIT Ramaiah SAT April 21 2019 - Question 20

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If $$f(x) = 2(\sin^6 x + \cos^6 x) - 3(\cos^4 x + \sin^4 x)$$, the value of $$f\left(\frac{\pi}{8}\right) - 3f\left(\frac{3\pi}{8}\right)$$ is

A

1

B

$$-1$$

C

2

D

0

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IIT Ramaiah SAT April 21 2019 - Question 21

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Notation - $$\prod_{i=1}^{k} x_i = x_1 x_2 \cdots x_k$$. If $$x = \prod_{r=1^\circ}^{89^\circ} \log_e \tan r^\circ$$ and $$y = \prod_{r=1^\circ}^{89^\circ} \log_e \cot r^\circ$$ then $$\cos(x^2 - y^2 + 3xy)$$ is equal to

A

0

B

1

C

$$-1$$

D

$$\frac{1}{2}$$

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IIT Ramaiah SAT April 21 2019 - Question 22

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If the sides of a triangle are 7, 24, 25, then the distance between its circumcentre and orthocentre of the triangle is

A

7

B

12

C

12.5

D

28

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IIT Ramaiah SAT April 21 2019 - Question 23

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The number of numbers from 1 to 100 each of which is not only exactly divisible by 4 but also has 4 as a digit is

A

7

B

10

C

20

D

21

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IIT Ramaiah SAT April 21 2019 - Question 24

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In a trapezium the lengths of the parallel sides are 10 and 24. $$P$$, $$Q$$ are the mid points of the non parallel sides. If the line $$PQ$$ intersects the diagonals in $$R$$ and $$S$$ then $$RS$$ is equal to

A

5

B

12

C

16

D

7

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IIT Ramaiah SAT April 21 2019 - Question 25

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The average weight of a class of 29 students is $$49\text{ kgs}$$. If the weight of the teacher be included, the average raises by $$500\text{ gms}$$. The weight of the teacher is

A

$$45\text{ kg}$$

B

$$55\text{ kg}$$

C

$$62\text{ kg}$$

D

$$64\text{ kg}$$

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IIT Ramaiah SAT April 21 2019 - Question 26

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In an alley a $$25\text{ m}$$ tall ladder is placed against a wall touching the wall at a point $$24\text{ m}$$ high from the level ground. When the ladder is switched over to the wall on the other side of the alley, without changing the base position of the ladder, it touches the wall at a point $$7\text{ m}$$ high from the ground. The width of the alley is

A

$$28\text{ m}$$

B

$$31\text{ m}$$

C

$$33\text{ m}$$

D

$$35\text{ m}$$

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IIT Ramaiah SAT April 21 2019 - Question 27

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There are 250 seniors in a class. $$60\%$$ have plans to go to college. Of those with plans to go to college, $$40\%$$ plan to go to a college out-of-state. The number of students plan to attend in-state college is

A

60

B

50

C

90

D

20

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IIT Ramaiah SAT April 21 2019 - Question 28

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Sum of the cubes of the roots of $$x^3 - 15x^2 + 71x - 105 = 0$$ is

A

495

B

105

C

1060

D

$$-71$$

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IIT Ramaiah SAT April 21 2019 - Question 29

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$$ABCDE$$ is a pentagon inscribed in a circle with centre $$O$$. If $$AB = BC = CD$$ and angle $$ABC$$ is $$132^\circ$$ then angle $$AEB$$ is

A

$$48^\circ$$

B

$$24^\circ$$

C

$$60^\circ$$

D

$$132^\circ$$

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IIT Ramaiah SAT April 21 2019 - Question 30

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Suppose $$f(x) = ax^2 + bx + c$$. $$f(x)$$ leaves a remainder 18 when divided by $$x + 2$$ and a remainder 13 when divided by $$x - 3$$. Also, $$f(0) = 4$$. Then $$2a + b + c$$ is equal to

A

2

B

3

C

5

D

$$-35$$

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IIT Ramaiah SAT April 21 2019 - Question 31

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The apparent weight of a solid body when measured in water and a liquid are $$90\text{ N}$$ and $$80\text{ N}$$ respectively. If the true weight of the body is $$100\text{ N}$$, the relative densities of the solid and the liquid are

A

5 and 2

B

10 and 2

C

2 and 1

D

8 and 4

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IIT Ramaiah SAT April 21 2019 - Question 32

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A body moves in a circular path at a constant speed of $$\pi\text{ m/s}$$. The magnitude of average velocity of this body for half a revolution is

A

$$1\text{ ms}^{-1}$$

B

$$2\text{ ms}^{-1}$$

C

$$3\text{ ms}^{-1}$$

D

$$4\text{ ms}^{-1}$$

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IIT Ramaiah SAT April 21 2019 - Question 33

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A freely falling body strikes a horizontal surface and raises to a height $$\frac{1}{64}$$ of the height from which it was dropped. If the velocity with which it hits the floor is $$v$$, the change in the magnitude of velocity due to impact with the floor is

A

$$\frac{7v}{8}$$

B

$$\frac{5v}{8}$$

C

$$\frac{3v}{8}$$

D

$$\frac{9v}{8}$$

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IIT Ramaiah SAT April 21 2019 - Question 34

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In the previous question, magnitude of the change in the of velocity of the body due to impact is

A

$$\frac{7v}{8}$$

B

$$\frac{5v}{8}$$

C

$$\frac{3v}{8}$$

D

$$\frac{9v}{8}$$

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IIT Ramaiah SAT April 21 2019 - Question 35

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The mass of a spherical planet is 8 times that of the earth and its density is same as that of earth. The acceleration due to gravity (in $$\text{ms}^{-2}$$) on the surface of this planet will be (gravity on earth is $$9.8\text{ ms}^{-2}$$)

A

78.4

B

19.6

C

9.8

D

4.9

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IIT Ramaiah SAT April 21 2019 - Question 36

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A constant horizontal force acts on a body of mass $$9\text{ kg}$$ lying at rest on a smooth horizontal surface for $$10\text{ s}$$. If the body moves $$25\text{ m}$$ in this time, the magnitude of the force is

A

$$4.5\text{ N}$$

B

$$2\text{ N}$$

C

$$3\text{ N}$$

D

$$4\text{ N}$$

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IIT Ramaiah SAT April 21 2019 - Question 37

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Steam at $$100^\circ\text{C}$$ is passed in to a calorimeter of water equivalent $$10\text{ g}$$ containing $$290\text{ g}$$ of water at $$30^\circ\text{C}$$ till the temperature of water raises to $$40^\circ\text{C}$$. The mass of steam condensed is (Latent heat of steam is $$540\text{ cal/g}$$)

A

$$10\text{ g}$$

B

$$2.5\text{ g}$$

C

$$3\text{ g}$$

D

$$5\text{ g}$$

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IIT Ramaiah SAT April 21 2019 - Question 38

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An electric bulb is rated $$40\text{ W}$$ at $$80\text{ V}$$. If it is connected in parallel to a $$40\text{ V}$$ supply having negligible internal resistance, the current through the bulb is

A

$$1\text{ A}$$

B

$$2\text{ A}$$

C

$$0.5\text{ A}$$

D

$$0.25\text{ A}$$

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IIT Ramaiah SAT April 21 2019 - Question 39

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Electromagnetic radiations in the increasing order of wavelength from the following is

A

Infrared waves, radio waves, x rays, visible light

B

radio waves, Infrared waves, visible light, x rays

C

x rays, visible light, Infrared waves, radio waves

D

radio waves, visible light, Infrared waves, x rays

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IIT Ramaiah SAT April 21 2019 - Question 40

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The angle of minimum deviation of an equilateral prism is $$30^\circ$$. The velocity of light inside the prism is (velocity of light in vacuum $$= 3 \times 10^8\text{ ms}^{-1}$$)

A

$$1.8 \times 10^8\text{ ms}^{-1}$$

B

$$2 \times 10^8\text{ ms}^{-1}$$

C

$$2.121 \times 10^8\text{ ms}^{-1}$$

D

$$7.07 \times 10^7\text{ ms}^{-1}$$

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IIT Ramaiah SAT April 21 2019 - Question 41

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The resistivity of the material of a wire is $$10^{-7}\,\Omega\text{ m}$$. If the wire is stretched to increase its length by $$50\%$$, then its resistivity will be (assume stretching does not change the temperature)

A

$$10^{-7}\,\Omega\text{ m}$$

B

$$1.5 \times 10^{-7}\,\Omega\text{ m}$$

C

$$2.25 \times 10^{-7}\,\Omega\text{ m}$$

D

$$2 \times 10^{-7}\,\Omega\text{ m}$$

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IIT Ramaiah SAT April 21 2019 - Question 42

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The reading of the ammeter (below, left) in the circuit (Assume voltmeter and ammeter are ideal) is
[image]

A

$$2\text{ A}$$

B

$$1\text{ A}$$

C

$$3\text{ A}$$

D

$$4\text{ A}$$

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IIT Ramaiah SAT April 21 2019 - Question 43

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In the previous question, reading of the voltmeter is
[image]

A

$$20\text{ V}$$

B

$$40\text{ V}$$

C

$$80\text{ V}$$

D

$$60\text{ V}$$

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IIT Ramaiah SAT April 21 2019 - Question 44

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A convex lens of focal length $$10\text{ cm}$$ and a convex mirror of focal length $$f_m$$ are mounted coaxially (above, right). The image of a point object located on the axis $$15\text{ cm}$$ to the left of the lens coincides with the object itself. Focal length $$f_m$$ of the mirror is
[image]

A

$$5\text{ cm}$$

B

$$10\text{ cm}$$

C

$$15\text{ cm}$$

D

$$20\text{ cm}$$

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IIT Ramaiah SAT April 21 2019 - Question 45

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In the previous question if the mirror is removed, the distance between the image and object will be
[image]

A

$$30\text{ cm}$$

B

$$45\text{ cm}$$

C

$$60\text{ cm}$$

D

$$75\text{ cm}$$

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IIT Ramaiah SAT April 21 2019 - Question 46

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A long straight horizontal wire carries a current from south to north. Magnetic field vertically above the wire is directed

A

westward

B

eastward

C

northward

D

southward

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IIT Ramaiah SAT April 21 2019 - Question 47

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All atoms of same element must have same

A

number of neutrons

B

number of nucleons

C

atomic number

D

mass number

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IIT Ramaiah SAT April 21 2019 - Question 48

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A charged particle is moving in a magnetic field at right angles to the field in a circular path of radius $$R$$. If a particle with same charge and twice greater mass were to be moving with half the velocity in the same magnetic field with its velocity at right angles to the field, the radius of its circular path would be

A

$$2R$$

B

$$R$$

C

$$3R$$

D

$$4R$$

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IIT Ramaiah SAT April 21 2019 - Question 49

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A radionuclide of atomic mass $$300\text{ amu}$$ on fission liberates $$200\text{ MeV}$$ of energy. The energy liberated when $$1\text{ g}$$ of this radionuclide undergoes fission is (given Avogadro number $$= 6 \times 10^{23}$$)

A

$$6.4 \times 10^{10}\text{ J}$$

B

$$6.4 \times 10^{11}\text{ J}$$

C

$$6.4 \times 10^{12}\text{ J}$$

D

$$6.4 \times 10^{13}\text{ J}$$

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IIT Ramaiah SAT April 21 2019 - Question 50

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A nuclear reactor operates using the fissionable material mentioned in the previous question. If it were to use $$540\text{ g}$$ of the material in a day, it's power would be (assume $$50\%$$ efficiency in conversion of energy released in the fission in to electrical energy)

A

$$100\text{ MW}$$

B

$$200\text{ MW}$$

C

$$300\text{ MW}$$

D

$$400\text{ MW}$$

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IIT Ramaiah SAT April 21 2019 - Question 51

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What is the IUPAC name of the following compound ?
[image]

A

3-Bromo-1,2-dimethylbut-1-ene

B

4-Bromo-3-methylpent-2-ene

C

2-Bromo-3-methylpent-3-ene

D

3-Bromo-3-methyl-1,2-dimethylprop-1-ene

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IIT Ramaiah SAT April 21 2019 - Question 52

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Iodine reacts with concentrated $$\text{HNO}_3$$ to yield Y along with other products. The oxidation state of iodine in Y, is

A

5

B

3

C

1

D

7

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IIT Ramaiah SAT April 21 2019 - Question 53

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In a chemical reaction, $$A + 2B \rightleftharpoons 2C + D$$, the initial concentration of $$B$$ was 1.5 times of the concentration of $$A$$, but the equilibrium concentrations of $$A$$ and $$B$$ were found to be equal. The equilibrium constant ($$K$$) for the aforesaid chemical reaction is

A

16

B

4

C

1

D

$$\frac{1}{4}$$

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IIT Ramaiah SAT April 21 2019 - Question 54

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$$50\text{ mL}$$ of $$0.5\text{ M}$$ oxalic acid is needed to neutralize $$25\text{ mL}$$ of sodium hydroxide solution. The amount of $$\text{NaOH}$$ in $$500\text{ mL}$$ of the given sodium hydroxide solution is

A

$$40\text{ g}$$

B

$$20\text{ g}$$

C

$$80\text{ g}$$

D

$$10\text{ g}$$

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IIT Ramaiah SAT April 21 2019 - Question 55

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The metal that forms nitride by reacting directly with $$\text{N}_2$$ of air, is

A

K

B

Cs

C

Li

D

Rb

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IIT Ramaiah SAT April 21 2019 - Question 56

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For the reaction, $$2A + B \rightarrow$$ Products, when the concentrations of $$A$$ and $$B$$ both were doubled, the rate of the reaction increased from $$0.3\text{ mol L}^{-1}\text{ s}^{-1}$$ to $$2.4\text{ mol L}^{-1}\text{ s}^{-1}$$. When the concentration of $$A$$ alone is doubled, the rate increased from $$0.3\text{ mol L}^{-1}\text{ s}^{-1}$$ to $$0.6\text{ mol L}^{-1}\text{ s}^{-1}$$.<br>Which one of the following statements is correct?

A

Order of the reaction with respect to B is 2

B

Order of the reaction with respect to A is 2

C

Total order of the reaction is 4

D

Order of the reaction with respect to B is 1

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IIT Ramaiah SAT April 21 2019 - Question 57

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For the following reaction, the mass of water produced from $$445\text{ g}$$ of $$\text{C}_{57}\text{H}_{110}\text{O}_6$$ is<br>$$2\text{C}_{57}\text{H}_{110}\text{O}_6(s) + 163\text{O}_2(g) \rightarrow 114\text{CO}_2(g) + 110\text{H}_2\text{O}(l)$$

A

$$495\text{ g}$$

B

$$490\text{ g}$$

C

$$890\text{ g}$$

D

$$445\text{ g}$$

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IIT Ramaiah SAT April 21 2019 - Question 58

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When the first electron affinity of oxygen is $$-141\text{ kJ/mol}$$, its second electron affinity is

A

almost the same as that of the first

B

negative, but less negative than the first

C

a positive value

D

a more negative value than the first

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IIT Ramaiah SAT April 21 2019 - Question 59

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An open vessel at $$27^\circ\text{C}$$ is heated until two fifth of the air (assumed as an ideal gas) in it has escaped from the vessel. Assuming that the volume of the vessel remains constant, the temperature at which the vessel has been heated is

A

$$750^\circ\text{C}$$

B

$$500^\circ\text{C}$$

C

$$750\text{ K}$$

D

$$500\text{ K}$$

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IIT Ramaiah SAT April 21 2019 - Question 60

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If $$K_{sp}$$ of $$\text{Ag}_2\text{CO}_3$$ is $$8 \times 10^{-12}$$, the molar solubility of $$\text{Ag}_2\text{CO}_3$$ in $$0.1\text{ M}$$ $$\text{AgNO}_3$$ is

A

$$8 \times 10^{-12}\text{ M}$$

B

$$8 \times 10^{-10}\text{ M}$$

C

$$8 \times 10^{-11}\text{ M}$$

D

$$8 \times 10^{-13}\text{ M}$$

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IIT Ramaiah SAT April 21 2019 - Question 61

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Chlorine on reaction with hot and concentrated sodium hydroxide gives

A

$$\text{Cl}^-$$ and $$\text{ClO}_2^-$$

B

$$\text{Cl}^-$$ and $$\text{ClO}_3^-$$

C

$$\text{Cl}^-$$ and $$\text{ClO}^-$$

D

$$\text{ClO}_3^-$$ and $$\text{ClO}_2^-$$

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IIT Ramaiah SAT April 21 2019 - Question 62

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0.5 moles of gas $$A$$ and $$x$$ moles of gas $$B$$ exert a pressure of $$200\text{ Pa}$$ in a container of volume $$10\text{ m}^3$$ at $$1000\text{ K}$$. Given $$R$$ is the gas constant in $$\text{J K}^{-1}\text{ mol}^{-1}$$, $$x$$ is

A

$$\frac{2R}{4 + R}$$

B

$$\frac{2R}{4 - R}$$

C

$$\frac{4 - R}{2R}$$

D

$$\frac{4 + R}{2R}$$

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IIT Ramaiah SAT April 21 2019 - Question 63

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In general, the properties that decrease and increase down a group in the periodic table, respectively are

A

electronegativity and electron gain enthalpy

B

electronegativity and atomic radius

C

atomic radius and electronegativity

D

electron gain enthalpy and electronegativity

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IIT Ramaiah SAT April 21 2019 - Question 64

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The hydride that is NOT electron deficient is

A

$$\text{B}_2\text{H}_6$$

B

$$\text{AlH}_3$$

C

$$\text{SiH}_4$$

D

$$\text{GaH}_3$$

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IIT Ramaiah SAT April 21 2019 - Question 65

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Match the following items in column I with the corresponding items in column II<br>Column I - i) $$\text{Na}_2\text{CO}_3 \cdot 10\text{H}_2\text{O}$$, ii) $$\text{Mg(HCO}_3)_2$$, iii) $$\text{NaOH}$$, iv) $$\text{Ca}_3\text{Al}_2\text{O}_6$$<br>Column II - P) Portland cement ingredient, Q) Castner-Keller process, R) Solvay process, S) Temporary hardness

A

i) $$\rightarrow$$ R; ii) $$\rightarrow$$ Q; iii) $$\rightarrow$$ S; iv) $$\rightarrow$$ P

B

i) $$\rightarrow$$ R; ii) $$\rightarrow$$ S; iii) $$\rightarrow$$ Q; iv) $$\rightarrow$$ P

C

i) $$\rightarrow$$ S; ii) $$\rightarrow$$ P; iii) $$\rightarrow$$ Q; iv) $$\rightarrow$$ R

D

i) $$\rightarrow$$ Q; ii) $$\rightarrow$$ R; iii) $$\rightarrow$$ P; iv) $$\rightarrow$$ S

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IIT Ramaiah SAT April 21 2019 - Question 66

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$$25\text{ mL}$$ of the given $$\text{HCl}$$ solution requires $$30\text{ mL}$$ of $$0.1\text{ M}$$ sodium carbonate solution. What is the volume of this $$\text{HCl}$$ solution required to titrate $$30\text{ mL}$$ of $$0.2\text{ M}$$ aqueous $$\text{NaOH}$$ solution?

A

$$25\text{ mL}$$

B

$$50\text{ mL}$$

C

$$12.5\text{ mL}$$

D

$$75\text{ mL}$$

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IIT Ramaiah SAT April 21 2019 - Question 67

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The correct order of the atomic radil of C, Cs, Al and S is

A

$$\text{S} < \text{C} < \text{Al} < \text{Cs}$$

B

$$\text{S} < \text{C} < \text{Cs} < \text{Al}$$

C

$$\text{C} < \text{S} < \text{Cs} < \text{Al}$$

D

$$\text{C} < \text{S} < \text{Al} < \text{Cs}$$

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IIT Ramaiah SAT April 21 2019 - Question 68

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The pair that does NOT require calcinations is

A

$$\text{ZnO}$$ and $$\text{MgO}$$

B

$$\text{Fe}_2\text{O}_3$$ and $$\text{CaCO}_3 \cdot \text{MgCO}_3$$

C

$$\text{ZnO}$$ and $$\text{Fe}_2\text{O}_3 \cdot x\text{H}_2\text{O}$$

D

$$\text{ZnCO}_3$$ and $$\text{CaO}$$

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IIT Ramaiah SAT April 21 2019 - Question 69

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5 moles of $$\text{AB}_2$$ weigh $$125 \times 10^{-3}\text{ kg}$$ and 10 moles of $$\text{A}_2\text{B}_2$$ weigh $$300 \times 10^{-3}\text{ kg}$$. The molar mass of A ($$M_A$$) and molar mass of B ($$M_B$$) in $$\text{kg mol}^{-1}$$ are

A

$$M_A = 50 \times 10^{-3}$$ and $$M_B = 25 \times 10^{-3}$$

B

$$M_A = 25 \times 10^{-3}$$ and $$M_B = 50 \times 10^{-3}$$

C

$$M_A = 5 \times 10^{-3}$$ and $$M_B = 10 \times 10^{-3}$$

D

$$M_A = 10 \times 10^{-3}$$ and $$M_B = 5 \times 10^{-3}$$

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IIT Ramaiah SAT April 21 2019 - Question 70

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The mole fraction of a solvent in aqueous solution of a solute is 0.8. The molality (in $$\text{mol kg}^{-1}$$) of the aqueous solution is

A

$$13.88 \times 10^{-1}$$

B

$$13.88 \times 10^{-2}$$

C

13.88

D

$$13.88 \times 10^{-3}$$

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