BITSAT 2008 Question Paper with Answer Key

Question

If 2 1, $\omega, \omega^2$ are cube roots of unity, then the value of $(1 + \omega^2 - \omega)$ $(1 - \omega^2 + \omega )$ is

Possible Answers

Selected	Possible Answer
	4
	$\omega$
	2
	zero

Question

The value of $sin(cot^{-1}\ x)$ is

Possible Answers

Selected	Possible Answer
	$\cfrac{x}{\sqrt{1+x^2}}$
	$\cfrac{1}{\sqrt{1+x^2}}$
	$\cfrac{\sqrt{1+x^2}}{x}$
	$\sqrt{1+x^2}$

Question

Two circles x^2 + y^2 - 6_x + 8 = 0 and x^2 + y^2 - 6 = 0 are given. The equation of the circle through their point of intersection and the point (1,1) is

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Selected	Possible Answer

Question

The value of $\overset{\pi /2}{\underset{0}{\int}}$ $\cfrac{1}{1+ \sqrt{tan\ x}} dx$ is

Possible Answers

Selected	Possible Answer
	$\pi$
	$\pi /2$
	$\pi /4$
	$3 \pi /2$

Question

The volume of the parallelopiped whose edges are represented by -12i + $\lambda$ k, 3j – k, 2i + j – 15k is 546. Then the value of $\lambda$ is

Possible Answers

Selected	Possible Answer
	- 5
	6
	1
	- 3

Question

A boat takes time t to go downstream from point A to point B and time 2t to go upstream from point B to point A . If the speed of the stream is v and the speed of the boat with respect to the stream is u , then which of the following gives the correct relationship between u & v ?

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Selected	Possible Answer
	u = v
	u = 3v
	v = 2u
	v = 3u

Question

Which of the following is correct about the acceleration of a particle describing a uniform circular motion ?

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Selected	Possible Answer
	The acceleration is constant both in magnitude and direction
	The acceleration is constant in direction but not in magnitude
	The acceleration is constant in magnitude but not in direction
	The acceleration is neither constant in magnitude nor in direction

Question

Five identical resistors of resistance 1 $\Omega$ each, are connected along the four edges and one of the diagonals of a square. A potential difference of 1 V is applied across the other diagonal. What will be the current in the resistor along the diagonal ?

Possible Answers

Selected	Possible Answer
	0.5A
	1 A
	5A
	zero

Question

A beam of completely unpolarized light of intensity I_0 is made to pass through a polarizer followed by an analyzer. What should be the angle between the axes of the polarizer and the analyzer, so that the intensity of the beam coming out of the analyzer is $\cfrac{3}{8} \ I_0$ ?

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Selected	Possible Answer



	$cos^{-1}\ (\sqrt{3/8)}\ rad$

Question

The half-life of a certain radioactive element is T_0 . How long will it take for 75%of a sample of the element to decay ?

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Selected	Possible Answer


	$\cfrac{3}{2}\ T_0$

Question

In a sample of the non-stoichiometric crystal $Fe_{0.96}O$ , the percentage of cationic sites occupied by $Fe^{3 +}$ ions is

Possible Answers

Selected	Possible Answer
	8.0
	6.0
	4.0
	2.0

Question

Which of the elements Na, Mg, Al, and K has the highest second ionization energy?

Possible Answers

Selected	Possible Answer
	Na
	Mg
	Al
	K

Question

Diborane structure involves

Possible Answers

Selected	Possible Answer
	Two 2-centre 3-electron bonds and four 3-centre 2-electron bonds
	Four 2-centre 3-electron bonds and two 3-centre 2-electron bonds
	Four 2-centre 2-electron bonds and two 3-centre 2-electron bonds
	Two 2-centre 2-electron bonds and four 3-centre 2-electron bonds

Question

Hoffmann rearrangement of a primary amide results in the formation of

Possible Answers

Selected	Possible Answer
	$1^\circ$ amine with same number of carbons
	$1^\circ$ amine with one carbon less
	$2^\circ$ amine with one carbon less
	$1^\circ$ amine with one carbon more

Question

A haloalkane on treatment with NaOR forms:

Possible Answers

Selected	Possible Answer
	A thioether
	A secondary alcohol
	A primary alcohol
	An ether

Question

Select the most suitable verb form which can be used in the passive form of the following sentence.
He is teaching English.

Possible Answers

Selected	Possible Answer
	has been taught
	is taught
	is being taught
	has been teaching.

Question

Rearrange the jumbled letters to form a meaningful word: aertun

Possible Answers

Selected	Possible Answer
	nurture
	nature
	return
	renter

Question

Seventeenth-century attempts to preserve anatomical specimens brought about modern embalming, the preservation of the body after death by artificial chemical means. The most common agent used today is formaldehyde, which is infused to replace body fluids.
The second sentence can best be replaced by

Possible Answers

Selected	Possible Answer
	Body fluids are replaced by formaldehyde, the most widely used agent today.
	The most common agent “ body fluids” are used to replace formaldehyde
	Formaldehyde is most widely used today along with the body fluids
	To replace body fluids the most common agent is to be used.

Question

Which idea does not support the topic?
Reasons for car accidents

Possible Answers

Selected	Possible Answer
	fast driving
	drinking and driving
	not following traffic regulations
	giving signals

Question

Rearrange the sentences labeled A to E to form a coherent paragraph.
A. The reasons why piracy flourishes are two. B. The problem is not with the laws but with enforcement.
C. Somehow they still do not realize the seriousness of the crime or its economic ramifications.
D. I have been a part of a drive against copyright theft for over two decades now.
E. The first is the lack of awareness amongst the enforcement agencies.

Possible Answers

Selected	Possible Answer
	ADBCE
	AECBD
	DBAEC
	ABDEC

Question

In the question given below choose the word, which is least like the other words in the group.

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Selected	Possible Answer
	Sri Lanka
	Bangladesh
	Pakistan
	Singapore

Question

BANK: MONEY : : TRANSPORT :?

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Selected	Possible Answer
	Goods
	School
	Bus
	Traffic

Question

Find the missing number in the following question from the given alternatives.

Possible Answers

Selected	Possible Answer
	121
	61
	74
	101

Question

In the following question complete the missing portion of the given pattern by selecting from the alternatives.

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Selected	Possible Answer

Question

In the following question the rule is that “closed figures become more and more open and open figures become more and more closed.” Identify which set of figures follows the rule?

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BITSAT 2008 Question Paper with Answer Key

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