JEE Main Test 100

Result

JEE Main Test 100

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

If A (3, 4, 5), B(4, 6, 3), C (-1, 2, 4) and D(1, 0, 5) are such that the angle between the lines DC and AB is θ, then cos θ is equal to

A
7/9

B
2/9

C
4/9

D
5/9

Solution
Question 2
4 / -1

If the line passing through the points (5, 1, a) and (3, b, 1) crosses the YZ-plane at the point

A
a = 8, b = 2

B
a = 2, b = 8

C
a = 4, b = 6

D
a = 6, b = 4

Solution
Question 3
4 / -1

In a college, 25% boys and 10% girls offer mathematics. There are 60% girls in the college. If a Mathematics student is chosen at random, then the probability that the student is a girl, will be

A
1/6

B
3/8

C
5/8

D
5/6

Solution
Question 4
4 / -1

In a common emitter transistor amplifier, the output resistance is 500 kΩ and the current gain β = 49. If the power gain of the amplifier is 5 × 10⁶, the input resistance is

A
325 Ω

B
165 Ω

C
198 Ω

D
240 Ω

Solution
Question 5
4 / -1

One Indian and four American men and their wives are to be seated randomly around a circular table. Then, the conditional probability that the Indian man is seated adjacent to his wife given that each American man is seated adjacent to his wife, is

A
1/2

B
1/3

C
2/5

D
1/5

Solution
Question 6
4 / -1

A neutron is moving with velocity u. It collides head on and elastically with an atom of mass number A. If the initial kinetic energy of the neutron is E, then how much kinetic energy will be retained by the neutron after reflection?

A

B

C

D

Solution
Question 7
4 / -1

A nucleus of mass M + ∆m is at rest and decays into two daughter nuclei of equal mass (M/2) each. Speed of light is c.

The speed of daughter nuclei is

A

B

C

D

Solution
Question 8
4 / -1

Sodium ethoxide has reacted with ethanoyl chloride. The compound that is produced in the above reaction is

A
diethyl ether

B
2-butanone

C
ethyl chloride

D
ethyl ethanoate

Solution

The given reaction is an example of SN₂ reaction, where the sodium ethoxide act as a base and attack the ethanoyl chloride. The product formed is ethyl ethanoate with the formation of sodium chloride. The mechanism follows the formation of tetrahedral intermediate with elimination of Cl^– ion.
Question 9
4 / -1

Sodium phenoxide when heated with CO₂ under pressure at 125°C yields a product which on acetylation produces C.

A

B

C

D

Solution

Sodium phenoxide when heated with CO₂ under pressure at 125⁰C yields acidification with HCl gives salicylic acid. Then on acetylation produces aspirin (i.e., 2 – acetoxy benzonic acid).
Question 10
4 / -1

The compound that does not liberate CO₂ on treatment with aqueous sodium bicarbonate solution is

A
benzoic acid

B
benzenesulphonic acid

C
salicylic acid

D
carbolic acid (Phenol)

Solution

pK_a of phenol (carbolic acid) is 9.98 and that of carbonic acid (H₂CO₃) is 6.63, thus phenol doesnot give effervescence with HCO₃^– ion.