Scholarship Admission Test (TSAT11E)

**Please Read The Instructions Carefully:**

- The examination will comprise of Single Correct Objective type Multiple Choice Questions (MCQs)
- All questions are compulsory and each carries Four marks.
- The total number of questions and duration of the examination are displayed on the navigation panel.
- There will be NO NEGATIVE MARKING for the wrong answers.
- The students just need to click on the Right Choice / Correct option from the multiple choices /options given with each question. For Multiple Choice Questions, each question has four options, and the candidate has to click the appropriate option.
- The Time of the examination begins only when the ‘Start Test’ button is pressed.
- The answers can be changed at any time during the test and are saved automatically.
- The examinee can move to First, Last, Previous, Next, and unanswered questions by clicking on the buttons with respective labels displayed on the screen throughout the test
- The Time remaining is shown in the middle of the screen.
- The system automatically shuts down when the time limit is over OR alternatively if the examinee finishes the exam before the time he can quit by pressing the ‘FINISH Test’ button. The students don’t click the “FINISH TEST” Button until the student wants to quit from Examination.
- Final marks will be displayed just after completion of the test.

1 / 45

**Que:** A man can swim at a speed of 5 km/h w.r.t. water. He wants to cross a 1.5 km wide river flowing at 3 km/h. He keeps himself always at an angle of 60º with the flow direction while swimming. The time taken by him to cross the river will be

- 0.25 hr
- 0.35 hr
- 0.45 hr
- 0.55 hr

2 / 45

**Que**: The Low density of ice compared to water is due to:

- Hydrogen bonding interactions
- dipole-dipole interactions
- Dipole-induced dipole interactions
- Induced dipole-induced dipole interactions

3 / 45

**Que:** A semicircular portion of radius ‘r’ is cut from a uniform rectangular plate as shown in figure. The distance of centre of mass 'C' of remaining plate, from point ‘O’ is :

4 / 45

**Que**: Equation of a line which is passing through (3, - 4) and making an angle of with x-axis is:

- x - y - 7 = 0
- x + y + 7 = 0
- x - y + 7 = 0
- x + y - 7 = 0

5 / 45

**Que:** A thin circular ring of mass M and radius R is rotating about its axis with a constant angular velocity ω. Two objects, each of mass m are attached gently to the opposite ends of the diameter of the ring. The wheel now rotates with an angular velocity.

6 / 45

**Que**:

- 1
- 2
- 3
- None of these

7 / 45

Que:

- None of these

8 / 45

**Que**: All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given?

- Mean
- Median
- Mode
- Variance

9 / 45

**Que:** When 97.52 is divided by 2.54, the correct result is

- 38.3937
- 38.394
- 38.39
- 38.4

10 / 45

**Que:** An infinite number of masses, each of 1 kg, are placed on the positive x-axis at 1 m, 2 m, 4 m, 8 m, …. from the origin. The value of the gravitational field at the origin due to this distribution is

- 2G
- ∞

11 / 45

**Que**: A straight line L perpendicular to the line 5x – y = 1. The area of the triangle formed by the line L and co-ordinates axes is 5, then the equation of line is-

- None of these

12 / 45

**Que:**

- zero

13 / 45

**Que**: Let R be the relation on the set N of natural numbers defined by R:{(x, y): x + 3y = 12, x ϵ N, y ϵ N}. Find R

- {(8, 1), (6, 2), (3, 3)}
- {(9, 1), (4, 2), (3, 3)}
- {(9, 1), (6, 2), (3, 3)}
- {(7, 1), (6, 2), (2, 2)}

14 / 45

**Que**: The accepted IUPAC name of camphor is:

- 1, 7, 7 - trimethylbicyclo [2, 2, 1] heptan - 2 - one
- 1, 7, 7 - trimethylbicyclo [2, 1, 2] heptan - 2 - one
- 1, 2, 2 - trimethylbicyclo [2, 2, 1] heptan - 6 - one
- none of these

15 / 45

**Que:** The work done by the frictional force on a surface in drawing a circle of radius r on the surface by a pencil of negligible mass with a normal pressing force N (coefficient of friction μ_{k}) is :

- 4πr
^{2}μ_{k }N - -2πr
^{2}μ_{k }N - -3πr
^{2}μ_{k }N - -2πrμ
_{k }N

16 / 45

**Que**: Fractional distillation is used when:

- there is a large difference in the boiling points of liquids
- there is a small difference in the boiling points liquids
- boiling points of liquid are same
- liquids form a constant boiling mixture

17 / 45

**Que**:

- ab + bc + cd
- (ab + bc + cd)
^{2} - (ab + bc + cd)
^{4} - None of these

18 / 45

Que:

- 1 and 0

19 / 45

**Que:** A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to

- x
^{2} - e
^{x} - x
- log
_{e}^{x}

20 / 45

**Que**: The frequency of light emitted for the transition n = 4 to n = 2 of the is equal to the transition in H atom corresponding to which of the following?

- n = 2 to n = 1
- n = 3 to n = 2
- n = 4 to n = 3
- n = 3 to n = 1

21 / 45

**Que:** A thin uniform wire is bent to form the two equal sides AB and AC of triangle ABC, where AB = AC = 5 cm. The third side BC, of length 6cm, is made from uniform wire of twice the density of the first. The distance of centre of mass from A is :

22 / 45

**Que**: Which of the following has the highest dipole moment?

23 / 45

**Que**: In the following balanced reaction, values of X, Y, and Z respectively are

- 2, 5, 16
- 8, 2, 5
- 5, 2, 16
- 5, 8, 4

24 / 45

**Que**: If we consider that 1/6, in place of 1/12, the mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of the substance will

- Be a function of the molecular mass of the substance
- Remain unchanged
- increase two-fold
- decrease twice

25 / 45

**Que**: What does the shaded region represent in the figure given below?

26 / 45

**Que:** The density of cube is measured by measuring its mass and the length of its sides. If the maximum errors

in the measurement of mass and length are 3% and 2% respectively, then the maximum error in the

measurement of density is

- 9%
- 7%
- 5%
- 1%

27 / 45

**Que**: Identify the correct order of the size of the following:

- Ca
^{2+}< K^{+}< Ar < Cl^{- }< S^{2-} - Ar < Ca
^{2+}< K^{+}< Cl^{-}< S^{2-} - Ca
^{2+}< Ar < K^{+}< Cl^{- }< S^{2-} - Ca
^{2+}< K^{+}< Ar < S^{2- }< Cl^{-}

28 / 45

**Que:** A space ship is launched into a circular orbit close to the earth’s surface. What additional velocity should now be imparted to the space ship in the orbit to over come the gravitational pull (radius of earth = 6400 km and g = 9.8 m/sec^{2}).

- 4.2 km/sec
- 4.8 km/sec
- 3.2 km/sec
- 3.3 km/sec

29 / 45

**Que**: Which of the following sequence of T and F is correct for given statements. Here T stands for True statement and F stands for False statement

**a.** The more the number of contributing structures, the more is the resonance energy.

**b.** The resonance structures have different positions of nuclei but the same number of unpaired electrons

**c.** The energy of the actual structure of the molecule (the resonance hybrid) is lower than that of any of the canonical structures.

- TTT
- TFT
- FFF
- TFF

30 / 45

**Que:** The coordinates of a moving particle at any time t are given by x = ct^{2 }and y = bt^{2}. The speed of the particle is given by:

- 2t(c + b)

31 / 45

**Que:** Three masses of 1 kg, 6 kg and 3 kg are connected to each other with threads and are placed on table as shown in figure, What is the acceleration with which the system is moving ? Take g = 10m s^{-2}

- Zero
- 1 m s
^{-2} - 2 m s
^{-2} - 3 m s
^{-2}

32 / 45

**Que:** A uniform rod of length 2l is placed with one end in contact with the horizontal table and is then inclined at an angle to the horizontal and allowed to fall. When it becomes horizontal, its angular velocity will be

33 / 45

**Que:** Two cylinders having radii 2R and R and moments of inertia 4I and I about their central axes are supported by axles perpendicular to their

planes. The large cylinder is initially rotating clockwise with angular velocity . The small cylinder is moved to the right until it touches the large cylinder and is caused to rotate by the frictional force between the two. Eventually slipping ceases and the two cylinders rotate at rates in opposite directions. During this

- angular momentum of system is conserved
- kinetic energy is conserved
- neigher the angular momentum nor the kinetic energy is conserved
- both the angular momentum and kinetic energy are conserved.

34 / 45

**Que**: The incorrect statement among the following is

- The first ionization potential of Al is less than the first ionization potential of Mg
- The second ionization potential of Mg is greater than the second ionization potential of Na
- The first ionization potential of Na is less than the first ionization potential of Mg
- The third ionization potential of Mg is greater than the third ionization potential of Al

35 / 45

**Que**: The number of moles of H_{2} in 0.224 litres of hydrogen gas at STP(273 K, 1 atm) is:

- 0.1
- 0.01
- 0.001
- 1

36 / 45

**Que**: Base strength of

(A)

- (B) > (A) > (C)
- (C) > (B) > (A)
- (A) > (C) > (B)
- (A) > (B) > (C)

37 / 45

**Que:** If A and B are any two sets, then

- Both 1 and 2

38 / 45

**Que**: If the nitrogen atom had electronic configuration 1s^{7} it would have energy lower than that of the normal ground state configuration 1s^{2} 2s^{2} 2p^{3} because the electrons would be closer to the nucleus. Yet 1s^{7} is not observed because it violates:

- Heisenberg's uncertainty principle
- Hund's rule
- Pauli's exclusion principle
- Bohr postulate of stationary orbits

39 / 45

**Que**: Which molecule/ion out of the following does not contain unpaired electrons?

- O
_{2} - B
_{2}

40 / 45

Que:

- -2
- -1
- -3
- -4

41 / 45

**Que**: If sample A contains 100 observations 101, 102, …..200 and sample B contains 100 observations 151, 152, …….250, then the ratio of variance v_{A }/v_{B} =

- 1
- 9/4
- 4/9
- 2/3

42 / 45

**Que**:

- 1/a
- -1/a
- 1/a
^{2} - -1/a
^{2}

43 / 45

**Que**: There are 60 terms in an A.P. of which the first term is 8 and the last term is 185. The 31^{st} term is

- 56
- 94
- 85
- 98

44 / 45

**Que**: An organic compound contains 49.3% carbon, 6.84% hydrogen and its vapour density is 73. The molecular formula of the compound is

- C
_{3}H_{5}O_{2} - C
_{4}H_{10}O_{2} - C
_{6}H_{10}O_{4} - C
_{3}H_{10}O_{2}

45 / 45

**Que**: If a, b, c are real and a ≠ b, then the roots of the equation 2 (a - b)x^{2} - 11 (a + b + c) x - 3 (a - b) = 0 are

- Real and equal
- Real and unequal
- Purely imaginary
- None of these